In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase? \$

Answers

Answer 1

Answer:

18.15

Step-by-step explanation:

Percent means per hundred, so we can convert 4.6% and 3.65% to equivalent decimals.

4.6%= 4.6 divided by 100 = 0.046

3.65%= 3.65 divided by 100 = 0.0365

Since both sales tax rates apply to $220, we can add the two rates.

0.046 + 0.0365= 0.0825

0.0825 x 220 = 18.15

And so, Yuki pays$18.15 in sales tax for her handbag purchase.


Related Questions

This is the manipulated variable in an experiment or study whose presence or degree determines the change in the dependent variable. When graphed this is graphed usually on the horizontal axis.

Answers

Answer:

This is called the independent variable.

Step-by-step explanation:

We know this because it is independent of all outside factors. Additionally, the horizontal axis (also known as the x axis), is the axis known for the independent variable.

Which graph represents the solution of the system of inequalities?

Answers

You need to rewrite the first equation to solve for y to get y >1+3x

Then graphing the two equations, the bottom right becomes the correct answer.

The string is 120 feet long and stretched taut. The kite string makes an angle of 70° with the ground. How high above the ground is the kite flying. Show Your Work

Answers

Answer:

112.76 feet

Step-by-step explanation:

This is a right triangle trig problem.  We have the length of the string which serves as the hypotenuse of the triangle, and we also have the reference angle (the angle the string makes with the ground) and we are looking for the height of the height, which is also the height of the triangle, which is also the side opposite the reference angle.  So it's our job now to figure out which trig ratio relates the side opposite the reference angle to the hypotenuse.  That's the sin ratio (opposite/hypotenuse).  Set it up like this:

[tex]sin(70)=\frac{x}{120}[/tex]

Multiply both sides by 120 and then do the math in degree mode on your calculator.  That gives you that x = 112.7631145

Don't know how many decimal places you need, but there you go!

graph this Function 1: f(x) = −3x2 + 2

Answers

I guess that's f(x) = -3x^2+2

Well :

-3x^2+2=0

-3x^2=-2 / : (-3)

x^2= -2/-3

x^2= 2/3 / sqrt

x= +/ - sqrt(2)/sqrt(3)

We got the zero points.

x ~ +/- 0.81

f(0)= -3(0)^2 + 2

f(0)= 2

Mark three points:

(0.81;0)

(-0.81;0)

(0;2)

Connect with parabolic line and ya got a your graph

If a = 5 centimeters, w = 10 centimeters, and h = 6 centimeters, what is the area of the decorative paper he will require?

Answers

Final answer:

The area of decorative paper needed, given the dimensions of length and width, is calculated as 50 square centimeters.

Explanation:

To answer the question about the area of decorative paper required, we need to use the formula for the area of a rectangle which is length times width. However, the given dimensions of a = 5 centimeters, w = 10 centimeters, and h = 6 centimeters seem to describe a box or a prism rather than a flat piece of paper. If the decorative paper is meant to cover the side of the box, then the relevant dimensions are likely length and width, not including the height. Assuming the decorative paper is to cover a flat surface, the formula for the area is A = length × width. Therefore, the required area of decorative paper is A = 5 cm × 10 cm = 50 square centimeters.

Plot each set of points. Choose all that correctly define the quadrilateral in the coordinate plane. A(0, 0), B(0, 5), C(2, 5), D(2, 0) is a rectangle A(?2, 4), B(2, 4), C(4, 2), D(?2. 2) is an isosceles trapezoid A(0, 4), B(4, 1), C(0, ?5), D(?4, 1) is a square A(4, ?3), B(?2, ?3), C(?1, 1), D(5, 1) is a parallelogram

Answers

Answer:

quad

Step-by-step explanation:

Answer: the answers are a and d !!

Step-by-step explanation:

Joelle's parents have combined all the candy from her and her three siblings Halloween bags so that the candy can be split evenly amongst the children. Altogether, the kids accumulated 256 pieces. How many pieces does each child receive?

Answers

There are 64 pieces that each child receive.

What is Division?

It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here, Joelle's parents have combined all the candy = 256 candy

          Total number of Children = 4

         Equal division of candy in 4 children = Total Candy/No. of children

                                                                        = 256 / 4

                                                                       = 64

Thus, there are 64 pieces that each child receive.

Learn more about Division from:

https://brainly.com/question/21416852

#SPJ2

Final answer:

Each of the four children, including Joelle, will receive 64 pieces of candy after dividing the total of 256 pieces evenly among them.

Explanation:

To find out how many pieces of candy each child receives, we need to divide the total number of pieces by the number of children. Joelle and her three siblings make a group of four children in total. They have accumulated 256 pieces of candy. To divide this evenly, we do the following calculation:

Divide the total number of candies (256) by the number of children (4).

The division gives us the result 64 pieces of candy for each child.

Therefore, each child, including Joelle, will receive 64 pieces of candy.

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y=-1 tan 1/10 x+4

Answers

Answer:

Reflection across x-axis, horizontal stretch by a factor of 10

and vertical translation up 4 units ⇒ answer (c)

Step-by-step explanation:

* The basic function of tanФ is

# y = tanФ

1- If y = -tanФ ⇒ reflect y over the x-axis

2- If y = tan(-Ф) ⇒ reflect y over the y-axis

3- If y = tan(Ф - k) ⇒ shift y right k units

4- If y = tan(Ф + k) ⇒ shift y left k units

5- If y = tanФ + k ⇒ shift y up k units

6- If y = tanФ - k ⇒ shift y down k units

7- If y = k tanФ ⇒ multiply y-values by k

 (k > 1 stretch, 0 < k < 1 compressed vertical)

 The scale factor is k

8- If y = tan(kФ) ⇒ divide x-values by k

 (k > 1 compressed, 0 < k < 1 stretch horizontal)

 The scale factor is 1/k

* Lets solve the problem

∵ y = -tan(1/10)x + 4

* We will use rules number 1 , 5 and 8

∴ Reflect y over the x-axis, shift y up k units and stretch

   horizontal by scale factor is 1/k (0 < k < 1)

∴ Reflection across x-axis, horizontal stretch by a factor of 10

  and vertical translation up 4 units

(8CQ) Determine whether the series -5+25-125+... is convergent or divergent.

Answers

Answer:

The answer is divergent ⇒ answer (b)

Step-by-step explanation:

* The series is -5 + 25 + -125 + ........

- It is a geometric series with:

- first term a = -5 and common ratio r = 25/-5 = -5

* The difference between the convergent and divergent

  in the geometric series is :

- If the geometric series is given by  sum  = a + a r + a r² + a r³ + ...

* Where a is the first term and r is the common ratio

* If |r| < 1 then the following geometric series converges to a / (1 - r).  

- Where a/1 - r is the sum to infinity

* The proof is:

∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number

∴ r^n approach to zero

∴ S = a(1 - 0)/(1 - r) = a/(1 - r)

∴ S∞ = a/1 - r

* If |r| ≥ 1 then the above geometric series diverges

∵ r = -5

∴ IrI = 5

∴ IrI > 1

∴ The series is divergent

The price of a share of stock increases 45.69 over 3 days. What was the average rate of change in its price in dollars per day?

Answers

Answer:

The answer would be 15.23$

Step-by-step explanation:

If you take the over all growth, 45.69, and divide that by the 3 days, you get your average of 15.23 per day

Find the measure of the line segment GE. Assume that lines which appear tangent are tangent.

Answers

Answer:

The measure of the line segment GE is [tex]18\ units[/tex]

Step-by-step explanation:

we know that

The Intersecting Secant-Tangent Theorem states that, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment

so

In this problem

[tex]GE*GF=GH^{2}[/tex]

substitute the values

[tex](8+x)(8)=12^{2}[/tex]

solve for x

[tex]8x+64=144[/tex]

[tex]8x=144-64[/tex]

[tex]8x=80[/tex]

[tex]x=10[/tex]

Find the measure of the line segment GE

[tex]GE=8+10=18\ units[/tex]

If A=[tex]\left[\begin{array}{ccc}-4&-3&5\\-5&-4&-2\\-1&-2&-4\end{array}\right][/tex] and B=[tex]\left[\begin{array}{ccc}3&-4&-1\\-5&-5&1\\-1&-3&2\end{array}\right][/tex], find AB.

Answers

It's not C because

[tex](AB)_{1,1}=A_{1,c}B_{r,1}=\begin{bmatrix}-4&-3&5\end{bmatrix}\begin{bmatrix}3\\-5\\-1\end{bmatrix}=-2[/tex]

where [tex](AB)_{1,1}[/tex] denotes the element of [tex]AB[/tex] in row 1, column 1, [tex]A_{1,c}[/tex] denotes the first row of [tex]A[/tex], and [tex]B_{r,1}[/tex] denotes the first column of [tex]B[/tex].

It's not A because

[tex](AB)_{1,2}=A_{1,c}B_{r,2}=\begin{bmatrix}-4&-3&5\end{bmatrix}\begin{bmatrix}-4\\-5\\-3\end{bmatrix}=16[/tex]

It's not D because

[tex](AB)_{2,2}=A_{2,c}B_{r,2}=\begin{bmatrix}-5&-4&-2\end{bmatrix}\begin{bmatrix}-4\\-5\\-3\end{bmatrix}=46[/tex]

So B must be the correct answer (and it is).

(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?

Answers

Answer:

B

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

Answer:

b

Step-by-step explanation:

The following system has a solution: x=10, y=-3, z=14

Answers

Answer:False

Step-by-step explanation:

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether [tex]x=10, \ y=-3, \ z=14[/tex] is the solution to this system, that is, the ordered triple [tex]P(x,y,z)[/tex] where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

[tex]First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation[/tex]

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the [tex]x=10, \ y=-3, \ z=14[/tex] is not the solution to the system of equations.

he point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4 (x – 8). What is the slope-intercept form of the equation for this line?

Answers

Answer:

[tex]y=\frac{1}{4}x+2[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line that passes that through points (8, 4) and (0, 2) is given as;

[tex]y-4=\frac{1}{4}(x-8)[/tex]

To find the slope-intercept form of this line, we need to expand the point-slope form.

[tex]y-4=\frac{1}{4}x-2[/tex]

We now solve for y to obtain;

[tex]y=\frac{1}{4}x-2+4[/tex]

We simplify to obtain:

[tex]y=\frac{1}{4}x+2[/tex]

This equation is now in the form;

[tex]y=mx+c[/tex]

This is what we refer to as the slope-intercept form.

How do you do this problem?

Answers

Answer:

Step-by-step explanation:

Part A

If it is compounded quarterly, the interest of 1.5 must be cut into a quarter of its present size. 1.5 //4 = 0.375 % per quarter.

In addition, the number of times that payment will be received is

4 quarters * 5 years = 20 quarters.

i = principle (1 + 0.375/100) ^20

i = principle (1 + 0.00375)^20

The principle = 4000 dollars.

i = 4000 * (1.00375)^20

i = 4000 * 1.07773

i = 4310.93

So she's tied up 4000 dollars to make 300 dollars.

Part B

I can't really give you an answer to this because I don't know if the 7% is compounded and over what period of time if it is, or if they mean 7% annually. There's a lot of variation in this question. Most people don't take money out of the market, so if it compounded, the formula would be

New Principle = starting amount (1.07)^4

New Principle = 4000 * 1.07^4

New Principle = 5243.18 so she would make about 4 times as much as the 300 she makes if she puts the money in a bond.

=============

If the interest is simple interest

Gain would be 0.07 * 4000 = 280 dollars.

Over four years = 4*280 = 1120 dollars.

You are going to have to ask your teacher what is intended by this question.

Solve by using proper methods.


Let's say that we had a 750 coyotes that were decreasing at a rate of 3% per year. How many years would it be until we had only 100 coyotes left? Show your work.

Answers

Answer:

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula  [tex]F=P(1+r)^t[/tex] to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

Note: The logarithm formula we  will use over here is  [tex]ln(a^b)=bln(a)[/tex]

So, we have:

[tex]F=P(1+r)^t\\100=750(1-0.03)^t\\100=750(0.97)^t\\\frac{100}{750}=0.97^t\\\frac{2}{15}=0.97^t\\ln(\frac{2}{15})=ln(0.97^t)\\ln(\frac{2}{15})=tln(0.97)\\t=\frac{ln(\frac{2}{15})}{ln(0.97)}\\t=66.15[/tex]

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

Will give brainliest!!! Landry took out a cash advance of $ 240 on his credit card. If the bank charges him a $ 3.20 fee and his credit card company charges 3.4 percent of the​ advance, how much did the advance cost​ him?

Answers

Answer:

$ 11.36

Step-by-step explanation:

The advance cost​ him;

3.20 + 3.4% of 240

3.20 + (3.4/100)*240

3.20 + 8.16 = $ 11.36

A quantity x varies directly with y and inversely with z. Which expression represents the constant of variation, k?
A) xz/y
B) xy/z
C) z/xy
D) y/xz

Answers

ANSWER

[tex]A. \: \frac{xz}{y} [/tex]

EXPLANATION

If quantity x varies directly with y and inversely with z.

The we can write the mathematical statement,

[tex]x\propto \frac{y}{z} [/tex]

We introduce the constant of proportionality k, to obtain,

[tex]x = \frac{ky}{z} [/tex]

We now solve for k, by multiplying through by

[tex] \frac{z}{y} [/tex]

This implies that,

[tex] \frac{xz}{y} = k[/tex]

The correct choice is A.

The figures below are similar. the area of the larger trapezoid is 121m^2. Find the area of the smaller trapezoid to the nearest square meter. Please help!

Answers

Answer:

54 square meters

Step-by-step explanation:

Similar figures have corresponding lengths as equal ratios.

Smaller trapezoid's base is given 12 and larger trapezoids base is given 18, so the scale factor is [tex]12k=18\\k=\frac{18}{12}\\k=1.5[/tex]

this means the lengths of larger is 1.5 times lengths of smaller.

In terms of area, the scale factor is squared. Hence the scale factor for area is  [tex]k^2=(1.5)^2=2.25[/tex]

this means the area of larger is 2.25 times the area of smaller.

Now, Let area of smaller trapezoid be x so we can say:  [tex]x(2.25)=121\\x=\frac{121}{2.25}\\x=53.78[/tex]

to nearest square meter, x = 54 meters squared

What is the 101st term in the sequence 997, 989, 981, ...?

197

189

1805

1797

Answers

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

[tex]d=a_n-a_{(n-1)}\\d=989-997\\d=-8[/tex]

Then the formula for the 101st term is the shown below:

[tex]a_n=a_1+(n-1)d[/tex]

Where:

[tex]a_1=997\\d=-8\\n=101[/tex]

Substitute values into the formula. Therefore, you obtain:

[tex]a_n=997+(101-1)(-8)=197[/tex]

Answer:

[tex]a_{101}=197[/tex]

Step-by-step explanation:

The first term of the sequence is

[tex]a_1=997[/tex]

The given sequence  is 997, 989, 981, ...

The common difference is

[tex]d=989-997=-8[/tex]

The nth ter of the sequence is

[tex]a_n=a_1+d(n-1)[/tex]

We plug in the first term and the common ratio to obtain;

[tex]a_n=997-8(n-1)[/tex]

[tex]a_n=997-8n+8[/tex]

[tex]a_n=1005-8n[/tex]

We substitute n=101 to get;

[tex]a_{101}=1005-8(101)[/tex]

[tex]a_{101}=197[/tex]

Find the limit if it exists. Picture provided

Answers

Answer:

b. -1

Step-by-step explanation:

When evaluating a limit at a specific value like this, just plug in the number and evaluate.

(2)³ - 3(2)² + 3

   8 - 12 + 3  

         -4 + 3

             -1

   

Answer:

b. [tex]-1[/tex]

Step-by-step explanation:

The given limit is

[tex]\lim_{x \to 2} (x^3-3x^2+3)[/tex]

This is the limit of a polynomial function so we plug in the value of x directly to obtain;

[tex]\lim_{x \to 2} x^3-3x^2+3=(2)^3-3(2)^2+3[/tex]

Evaluate

[tex]\lim_{x \to 2} x^3-3x^2+3=8-12+3[/tex]

This simplifies to

[tex]\lim_{x \to 2} x^3-3x^2+3=-1[/tex]

The correct choice is B.

What are the solutions to the system of equations?


(_____ , 2) and ( _____ , _____ )

Answers

Answer:

  (1, 2) and (-1, -2)

Step-by-step explanation:

Since y = 2x, the first blank tells you

  2x = 2

  x = 1

____

Since the variables are squared, a negative solution is as good as a positive solution, so x = -1 and y = -2 will also work.

There are red and blue balls in a bag. The number of blue balls is 27 and the red balls are 4/ 7 of all balls. What is the total number of balls in the bag?

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

We know this:

3/7 = 27

You need to find the value of 1/7

To do this, divide by 3

27/3 = 9

1/7 = 9

Multiply this by 7 to get the total number of balls:

9 x 7 = 63

There are 63 balls.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

can someone PLEASE HELP ME ASAP!!!!!

Answers

Answer:

Last choice: 14 = (1/2)x(x - 12)

Step-by-step explanation:

base = x

height = x - 12

area = (1/2)bh

14 = (1/2)x(x - 12)

The answer is C. Thank Me Later ?

Identify the equation of the translated graph in general form x^2-y^2=9 for T(-4,2)

Answers

Answer:

B

Step-by-step explanation:

The equation [tex]x^2-y^2=a[/tex] under the translation of  T (p,q) will have the form  [tex](x-p)^2-(y-q)^2=a[/tex]

Now, using the translation T(-4,2) in the equation given, we can write:

[tex](x+4)^2-(y-2)^2-9=0\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0[/tex]

Looking at the choices, B is the right answer.

Answer:

Looking at the choices, B is the right answer.

PLEASE HELP
In the same circle, chord AB determines a 115° arc and chord AC determines a 43° arc. Find m∠BAC.
(2 answers)

Answers

Answer:

101 or 36 degrees

Step-by-step explanation:

If you add up the measures of the arcs it is 158. That means BC is 202 degrees. Divide it by 2 to find the angle. For the second answer, remember the question did not specify if the arcs were major or minor so you can flip them around.

Answer:

m∠BAC is 101° or 36°.

Step-by-step explanation:

Given,

[tex]m(\widehat{AB})=115^{\circ}[/tex]

[tex]m(\widehat{AC})=43^{\circ}[/tex]

To find : The measurement of angle BAC,

Let O be the center of the circle.

Since, here we have to cases ( shown in diagram ),

In Case 1 :

[tex]m\angle BOC = 360^{\circ}-[m(\widehat{AB})+m(\widehat{AC})][/tex]

[tex]=360^{\circ}-(115^{\circ}+43^{\circ})[/tex]

[tex]=360^{\circ}-158^{\circ}[/tex]

[tex]=202^{\circ}[/tex]

By the central angle theorem,

[tex]m\angle BAC = \frac{m\angle BOC}{2}[/tex]

[tex]=\frac{202^{\circ}}{2}=101^{\circ}[/tex]

In Case 2 :

[tex]m\angle BOC = m(\widehat{AB})-m(\widehat{AC})[/tex]

[tex]=115^{\circ}-43^{\circ}[/tex]

[tex]=72^{\circ}[/tex]

Again by the central angle theorem,

[tex]m\angle BAC = \frac{m\angle BOC}{2}[/tex]

[tex]=\frac{72^{\circ}}{2}=36^{\circ}[/tex]

Help with this question, please! I need help!

Answers

Answer:

$357

Step-by-step explanation:

We have a rectangle measuring 25 feet × 9 feet. Remove from the rectangle two regular hexagons with a side length equal to 2 feet.

The formula of an area of a rectangle:

[tex]A_r=lw[/tex]

l - length, w - width.

Substitute l = 25 ft and w = 9 ft:

[tex]A_r=(25)(9)=225\ ft^2[/tex]

The formula of an area of a regular hexagon:

[tex]A_h=6\cdot\dfrac{a^2\sqrt3}{4}[/tex]

a - side

Substitute a = 2 ft:

[tex]A_h=6\cdot\dfrac{2^2\sqrt6}{4}=6\sqrt3\ ft^2[/tex]

The area of the wall:

[tex]A=A_r-2A_h[/tex]

Substitute:

[tex]A=225-2(6\sqrt3)=225-12\sqrt3\approx225-20.785=204.215\ ft^2[/tex]

Paiting the wall costs $1.75 per ft². Calculate:

[tex](\$1.75)(204.215)\approx\$357[/tex]

Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their apartments. The distance from Bert's apartment to Big Bird's nest (5x + 4) ismiles away while Ernie's apartment to Big Bird's nest is (15x-30) miles away How far are Bert and Ernie's apartments from Big Bird's nest?

Answers

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

   distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

 in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

  distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

A 2012 Gallup survey of a random sample of 1014 American adults indicates that American families spend on average $151 per week on food. The report further states that, with 95% confidence, this estimate has a margin of error of ±$7 . (a) This confidence interval is expressed in the form: “estimate ± margin of error.” What is the range of values (lower bound, upper bound) that corresponds to this confidence interval? (Enter your answers as a whole number.) lower bound: upper bound: (b) What is the parameter captured by this confidence interval? What does it mean to say that we have " 95% confidence" in this interval? The parameter captured by this interval is the population mean weekly spending on food ???? for all American adults. " 95% confidence" means that this interval was found using a procedure that produces correct results 95% of the time. The parameter captured by this interval is the populations weekly spending on food ???? for all American adults. " 95% confidence" means that this interval is correct 95% of the time. The parameter captured by this interval is the population mean weekly spending on food ???? for all American adults. " 95% confidence" means that this interval represents 95% of the population of American adults. The parameter captured by this interval is the populations weekly spending on food ???? for all American adults. " 95% confidence" means that this interval was found using a procedure that produces correct results 95% of the time.

Answers

Answer:135.9

Step-by-step explanation:you just have to multiply

Other Questions
Grace is making a public service advertisement video about the importance of learning a second language. What should be included in the conclusion of her PSA video?A. facts about the importance of learning another languageB. various students waving and saying "goodbye" in different languagesC. a statement explaining the importance of learning another languageD. a map labeled with the many different languages spoken What is the final chemical equation from the following intermediate chemical equations? Explain what causes the skin to burn in the sun?Explain why people should avoid the sun if taking a photosensitive medication? Why did the United States military get involved in Vietnam What is the purpose of the last line of the poem?It provides a bitter ironyIt makes the reader what a sequelIt unites the leader and the speakerIt offers a resolution to the conflict A certain atom has 26 protons, 26 electrons, and 30 neutrons. It mass number is? Write a sentence with a simple past tense verb. (g/p)(-3)g(x)=2x^2+5p(x)=x^2-2x i need help ASAP !!! Multiply: (4x + 3)(2x2 8x + 2) A) 8x3 26x2 32x + 6 B) 8x3 + 38x2 + 32x + 6 C) 8x3 + 26x2 32x + 6 D) 8x3 38x2 + 16x + 6 what is the emblem of the medical profession? a: Aephusb: Cadmusc: Caduceusd: Arithomane How is preparing for a space mission similar to planning for a camping trip how is it different The owner of Cardo Reef Tours found when the price for a tour was $9 US dollars per personthe average number of customers was 1000 per month. When he reduced his price to $7 US dollarsper person the average number of customers increased to 1500 per month. Assuming that hisdemand curve was linear, what price should he charge to obtain the largest monthly revenue?b. If f(x) = 2x3 24x, find the minimum and maximum values of f in the interval [3,5]. A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scatterplot show the time needed to produce batches of different number of items. What is the distance between harbin and Beijing. A. 100 milesB. 300 m C. 500 milesD. 600 miles Name the different forms of linear equations you learned. If (1, 2) and(3, 4) lie on the same line, give the slope-intercept equation of the line.2Explain how to find the inverse of f(x) = (x-1)/42What is average rate of change? How do you calculate it? What can you tell about the average rate of change for linear functions? Compare the slopes of horizontal and vertical lines.3/4Compare the processes of graphing linear equations and inequalities with examples of your own.3/4Create a real-life scenario in which you show how you interpret key features of functions and graphs such as slope and y-intercept?Module 21What is the definition of i? What do we use it for? Demonstrate with an example of your own.2Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32. Compare the process to multiplying and dividing.2Give an example of an expression with a rational exponent and explain how to convert it into radical form.3/4A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equations that involve radical expressions?Where in real life do you work with radical expressions and functions? Give an example of your own.Module 3Webbs DOKDiscussion Prompt1How many different ways can you solve a quadratic equation? List them.2Create a trinomial that can be factored and write it in standard form.2Factor x^2 7x + 10, 4x^2 81 and p(x)=3x^3-12x3/4What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are added to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.3/4A ball is kicked into the air and follows the path described byh(t)= -4.9t^2+6t+0.6, where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters? Lines p and q are perpendicullllar if the slope of line p is 2 what is the slope of line q Who provided assistance for Freedman as they transitioned to a new way of life Respiration is a process during which energy is released from glucose. This energy is used for processes such as growth of the body. FIND ST OF THIS CIRCLE. Steam Workshop Downloader