Add. Write your answer as a mixed number in simplest form.
2 3/4+ 1 9/10=

Answers

Answer 1
[tex]2 \frac{3}{4} + 1 \frac{9}{10} __________ Convert so denominators are alike. _______ [/tex]

[tex] 2\frac{3}{4} = 2 \frac{30}{40} =====\ \textgreater \ 1 \frac{9}{10} = 1\frac{36}{40} Add[/tex]

[tex]2 \frac{30}{40} + 1 \frac{36}{40} = 3 \frac{66}{40} = 4 \frac{22}{40} = 4 \frac{11}{20} [/tex]

[tex]Answer: 4 \frac{11}{20} ________ You're welcome. [/tex]

Related Questions

Mr. Small, the store manager for Jay's Appliance, is having a difficult time placing a selling price on a refrigerator that cost $410. Mr. Small knows his boss would like to have a 45% markup based on cost. The selling price should be

Answers

Answer:

$594.50

Step-by-step explanation:

1. Divide markup into decimal form

45/100 = .45

2. multiply by cost of Refrigerator

.45 x 410 = $184.50

3. Add markup cost to original Refrigerator cost.

184.50 + 410 = $594.50

Find the saving plan balance after 4 years with an apr of 7% and monthly payments of 100

Answers

APR=7%, monthly interest rate, i=7%/12=0.07/12
Monthly payment, A=100
After 4 years, n=4*12 = 48 months,
the balance F is therefore
F = A((1+i)^n-1)/i
=100((1+0.07/12)^48-1)/(0.07/12)
=5520.92

Answer: the balance after 4 years at APR=7% with monthly payment of $100 is $5520.92 to the nearest cent.

a jar of jelly beans that weigh 4.25 ounces costs 2.89. what is the cost of one ounce of jelly

Answers

You have: 
Cost in dollars --> $2.89 
Total ounces --> 4.25 

But you want to know the per unit cost for *1* ounce. 

You have the right method. You want cost ($) per ounce so put the price over the amount in ounces. 
2.89 / 4.25 = x / 1 

If you notice, since the denominator is 1, this is simply: 
x = 2.89 / 4.25 

So the unit cost is just $2.89 divided by the number of ounces (4.25). 

Plug that into your calculator and you get: 
0.68 

That's in dollars. So if you want it in cents, move the decimal point 2 places to the right. 

Answer: 
$0.68 per ounce 
or 
68 cents per ounce

Choose all the doubles facts that can help you solve 8+7

Answers

the answer is 15 
if you do 8+7=15
i think it help

Answer: 7 + 7 = 14

8 + 8 = 16

Step-by-step explanation: doubles facts are simply additions where a number is added to it self. The strategy sums up two consecutive numbers when they are next to each other to give their result as given by the question above (8 + 7). We simply add the smaller number together then add one (double-plus-one) OR add the larger number together then subtract one (double-minus-one)

All doubles that can be used in solving 8 + 7 are:

A) 8 + 7 = 7 + (7 + 1) = (7 + 7) + 1 = 14 + 1 = 15 [double-plus-one]

B) 8 + 7 = (8 + 8) - 1 = 16 - 1 = 15 [double-minus-one]

The doubles fact makes use of the associative property of addition —changing the grouping of addends does not change the sum.

Find the slope of a line that passes through the points (-3,-1) and (0,-5)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ -1}})\quad % (c,d) &({{ 0}}\quad ,&{{ -5}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-5-(-1)}{0-(-3)}\implies \cfrac{-5+1}{0+3} \\\\\\ \cfrac{-4}{3}[/tex]

a law firm charges $100 per hour plus a $300 origination fee for its services find a function notation

Answers

F(t)= $100 x h + 300 A reasonable domain is (1,2,3) and the range is ($400,$500,$600)

The required function notations for the total law firm charges is expressed as f(t) = 100t + 300

Given the following

Law firm charges = $100 per hour

The amount of charge for "t" hours will be 100t hours

Also, the original fee = $300

In other to get the total charge using function notation;

f(t) = Law firm charges for "t" hours + Original fee

f(t) = 100t + 300

The required function notations for the total law firm charges is expressed as f(t) = 100t + 300

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The student body of a large university consists of 60% female students. a random sample of 8 students is selected. what is the probability that among the students in the sample at least 7 are female?

Answers

I believe it would be around 1%

The probability of selecting at least 7 female students from the sample of 8 students is  0.2797.

To solve this problem, we'll use the binomial probability formula, which calculates the probability of a certain number of successes (in this case, selecting female students) in a fixed number of trials (the sample size).

Given:

Probability of selecting a female student (success), ( p = 0.60 )

Probability of selecting a male student (failure), ( q = 1 - p = 0.40 )

Sample size, ( n = 8 )

We need to calculate the probability of selecting at least 7 female students from the sample.

Calculate the probability of selecting exactly 7 female students:

[tex]\[ P(X = 7) = \binom{8}{7} \times (0.60)^7 \times (0.40)^{8-7} \][/tex]

[tex]\[ = \frac{8!}{7!(8-7)!} \times (0.60)^7 \times (0.40)^{1} \][/tex]

[tex]\[ = 8 \times 0.60^7 \times 0.40 \][/tex]

[tex]\[ = 8 \times 0.0279936 \times 0.40 \][/tex]

[tex]\[ = 0.1119744 \][/tex]

Calculate the probability of selecting exactly 8 female students:

[tex]\[ P(X = 8) = \binom{8}{8} \times (0.60)^8 \times (0.40)^{8-8} \][/tex]

[tex]\[ = (0.60)^8 \][/tex]

[tex]\[ = 0.60^8 \][/tex]

[tex]\[ = 0.16777216 \][/tex]

Add the probabilities from Step 1 and Step 2 to get the final probability:

[tex]\[ P(X \geq 7) = P(X = 7) + P(X = 8) \][/tex]

[tex]\[ = 0.1119744 + 0.16777216 \][/tex]

[tex]\[ = 0.27974656 \][/tex]

So, the probability of selecting at least 7 female students from the sample of 8 students is  0.2797.

Read the following statement: Line segment CD is congruent to line segment XY.

Which of the following is an equivalent statement?

-CD overbar is similar to XY overbar

- CD overbar is congruent to XY overbar

-CD overbar equals XY overbar

-CD overbar is an element of XY overbar

SOMEONE PLEASE HELP I HAVE A TEST IN 5 MIN!!

Answers

CD overbar is congruent to XY overbar

The statement which is equivalent to line segment CD is congruent to line segment XY is CD overbar is congruent to XY overbar.

What is a line?

A line is made up of an infinite no. of points it can extend in both directions indefinitely.

We know a line has two subsets they are a ray and a line segment.

A ray is a type of line that has one initial point and the other end can extend indefinitely and a line segment is a type of line which has two endpoints.

Given a line, segment CD is congruent to line segment XY.

∴ [tex]\overline{CD}[/tex] ≅ [tex]\overline{XY}[/tex].

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For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range.
The vertex is (3, −1), the domain is all real numbers, and the range is y ≥ −1.
The vertex is (3, −1), the domain is all real numbers, and the range is y ≤ −1.
The vertex is (−3, −1), the domain is all real numbers, and the range is y ≤ −1.
The vertex is (−3, −1), the domain is all real numbers, and the range is y ≥ −1.

Answers

"For the function f(x) = −2(x + 3)^2 − 1, identify the vertex, domain, and range. "

Note:  You meant x^2, not x2.  "^" indicates exponentiation.

This is a quadratic function of the form f(x) = ax^2 + bx + c.  Its graph is a vertical parabola that opens down.  We know this because a is negative 1 here, and the highest power of x is 2.

We can identify the vertex as being (-3, -1).  

The domain of all quadratic functions is "the set of all real numbers."

You must find the maximum value of this function, which will represent the upper limit of the range (-infinity, y-value at vertex).  Know how to do this?  If not, please ask.

Answer:

C. The vertex is [tex](-3,-1)[/tex], the domain is all real numbers, and the range is [tex]y\leq -1[/tex].

Step-by-step explanation:

We have been given a function [tex]f(x)=-2(x+3)^2-1[/tex]. We are asked to identify the vertex, domain and range of the given function.

We can see that our given parabola is in vertex form [tex]y=a(x-h)^2+k[/tex], where [tex](h,k)[/tex] represents vertex of parabola.

We can rewrite our given equation as:

[tex]f(x)=-2(x-(-3))^2-1[/tex]

Therefore, the vertex of our given parabola would be [tex](-3,-1)[/tex].

We know that parabola is a quadratic function and the domain of a quadratic function is all real numbers.

We know that range of a quadratic function in form [tex]f(x)=a(x-h)^2+k[/tex] is:

[tex]f(x)\leq k[/tex], when [tex]a<0[/tex] and,

[tex]f(x)\geq k[/tex], when [tex]a>0[/tex]

Upon looking at our given function, we can see that [tex]a=-2[/tex], which is less than 0, therefore, the range of our given function would be [tex]y\leq -1[/tex].

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3427 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 65.75 feet per second and Plane B is gaining altitude at 35.5 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when they're at the same altitude.

Answers

3427 + 65.75s = 5000 + 35.5s
65.75s - 35.5s = 5000 - 3427
30.25s = 1573
s = 1573 / 30.25
s = 52 seconds <== they are the same at 52 seconds

3427 + 65.75(52) = 6846
5000 + 35.5(52) = 6846

and their altitude is 6846 <===
lane A, 5000+40.5x
Plane B, 4467+50.75x
x is number of seconds of time. 


When altitudes equal?
5000+40+1/2x=4467+50+.75x
5000-4467=10.25x

x=53.3 seconds.
Use either formula for altitude of a plane to find what the altitude would be.

A girl is now one-third as old as her mother. In three years, she will be two-fifths as old as her mother will be. What are their present ages?

A girl is 9; mom is 27
B girl is 18; mom is 54
C girl is 25; mom is 75

Answers

I really want to say A, I mean all of these would fit for the one third of their ages but the two-fifths is kinda tricky. But I am sticking with A.
Answer:

Option: A is the correct answer.

        A girl is 9; mom is 27

Step-by-step explanation:

A girl is now one-third as old as her mother.

i.e. if x is the present age of girl.

and y is the present age of her mother.

Then,

[tex]x=\dfrac{1}{3}y[/tex]

i.e.

[tex]y=3x-----------(1)[/tex]

In three years, she will be two-fifths as old as her mother will be.

This means after three years.

The age of girl will be: x+3

and the age of her mother will be: y+3

This means that:

[tex](x+3)=\dfrac{2}{5}\times (y+3)[/tex]

[tex]5(x+3)=2(y+3)\\\\i.e.\\\\5x+15=2y+6[/tex]

i.e.

[tex]5x+15=2\times 3x+6[/tex]

( since on using equation (1) )

i.e.

[tex]5x+15=6x+6\\\\i.e.\\\\6x-5x=15-6\\\\i.e.\\\\x=9[/tex]

and the value of y from equation (1) is:

[tex]y=27[/tex]

The school cafeteria is baking cookies for lunch. each student gets 3 cookies with their lunch. if there are 231 children buying lunch, how many cookies do they have to make?

Answers

3 cookies per student
Multiply students x cookies per student

231 students x 3 cookies= 693 cookies

The degree of the Boolean function given by f(x,y,z,w) = xy + yz + zw is........

Answers

The degree of the Boolean function given by f(x, y, z, w) = xy + yz + zw is 1. Booleans are supposedly simple in that they can result in only two possible answers: yes/no, true/false, or 0/1.

The formula for any arithmetic sequence is a n = a 1 + d(n - 1), where a n represents the value of the nth term, a 1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the arithmetic sequence -7, -3, 1, 5, ...?
Plz help

Answers

 -7, -3, 1, 5, .....    from -7 to -3, is +4, from -3 to 1, is +4.

so, is really just adding 4 to get the next term's value, thus the "common difference" is 4, and notice, the first term is -7.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-7\\ d=4 \end{cases} \\\\\\ a_n=-7+(n-1)4[/tex]

Complete the square

Answers

I belivee the answer is (x-3)^2= 21

Three consecutive integers have a sum of 297 . Find the integers.

Answers

297 /3 = 99

99-1 = 98

99 +1 = 100

98 + 99 + 100 = 297

 the numbers are 98, 99 , 100

We will put X to the first integer. Since they're consecutive (meaning that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 297) Here is how you can write the equation.
X+X+1+X+2 = 297
To solve for X, you have to add the integers together and the X variables together. Then, you must subtract 3 from each side and then dividing by 3 on each side.
X + X + 1 + X + 2 = 297
3X + 3 = 297
3X + 3 - 3 = 297 - 3
3X = 294
3X/3 = 294/3
X = 98
Which means that the first number is 98, the second number is 98+1 and third number is 98+2. Which give us three consecutive integers that add up to 297.
98+99+100= 297

Find the probability of a couple having a baby boy when their fourth child is​ born, given that the first three children were all boys. assume boys and girls are equally likely. is the result the same as the probability of getting sall boys among four ​children

Answers

The probability of having a baby boy on the fourth child, given that the first three children were all boys, is 0.5. This result is not the same as the probability of getting all boys among four children, which is 0.0625. The conditional probability accounts for the information about the first three births.

To solve this probability problem, let's break it down step by step.

Probability of Having a Boy on the Fourth Child:

Assuming boys and girls are equally likely, the probability of having a boy or a girl is 1/2 or 0.5. When considering each child's gender independently, the probability of having a boy on the fourth child is 0.5, regardless of the genders of the previous children.

However, the question specifies that the first three children were all boys. This information is crucial for the conditional probability calculation.

Conditional Probability:

The probability of having a boy on the fourth child given that the first three children were all boys is denoted as [tex]\( P(B_4 | B_1, B_2, B_3) \)[/tex].

Since the events are assumed to be independent (the gender of one child does not affect the gender of another), the conditional probability is the same as the probability of having a boy on any single birth: 0.5.

Comparison with Getting All Boys:

The probability of getting all boys among four children [tex](\( P(B_1 \cap B_2 \cap B_3 \cap B_4) \))[/tex] is the product of the probabilities of having a boy for each birth.

[tex]\[ P(B_1 \cap B_2 \cap B_3 \cap B_4) = P(B_1) \times P(B_2) \times P(B_3) \times P(B_4) \][/tex]

Given that [tex]\( P(B_4) = 0.5 \)[/tex] and the previous births are all boys, [tex]\( P(B_1 \cap B_2 \cap B_3 \cap B_4) = (0.5)^4 = 0.0625 \)[/tex].

The question probable may be:

Find the probability of a couple having a baby boy when their fourth child is born, given that the first three children were all boys. Assume boys and girls are equally likely. Is the result the same as the probability of getting all boys among four children?

What is the justification for each step in solving the inequality?

−2(x+1)≥3x+8−2(x+1)≥3x+8
Select from the drop-down menus to correctly justify each step.

2nd picture is the dropdown box answers

Answers

The given is: −2(x+1)≥3x+8
The first step is getting rid of the brackets using the distributive property.
The second and third steps is isolating the term containing the x on one side of the inequality using addition or subtraction property of order
The last step is getting rid of the coefficient of the x using the multiplication or division property of order.

So, the correct order of choices is:
1- distributive property.
2- addition or subtraction property of order
3- addition or subtraction property of order
4- multiplication or division property of order.

First step is : Distributive property, as -2 is being distributed over x and 1.

Second step: Addition property of order, because we are adding 2 to both sides  (or Subtraction: we are subtracting -2 to both sides)

Third step: Subtraction property of order, because we are subtracting 3x to both sides of the inequality.

Fourth step: Division property of order, as we are dividing both sides by -5.
(or multiplication property of order: we are multiplying both sides by -1/5

A store sells toaster ovenstoaster ovens for ​$4646 ​each, retail price. The wholesale cost to stock the ovensovens is $ 28$28 each. The fixed cost associated with acquiring the ovensovens​, storing them in​ inventory, using shelf​ space, and advertising the ovensovens for sale is ​$25002500. a. Write a function for the total cost of stocking the ovensovens for sale. b. Write a function for the total revenue received from selling the ovensovens. c. Write a system of equations and determine the number of ovensovens that must be sold to break even.

Answers

Selling price = $46 per toaster

Stocking cost = $28 per toaster
Fixed cost = $2500

a) Let the number of toasters be 'x'
    The total cost of stocking for sale = 28x + 2500

b) Let the number of toasters be 'x'
    Total revenue received from selling the toasters = 46x

c) Break-even is when the cost of production is equal to profit made
    So, we can set up the break-even equation as:
    Production cost = Revenue cost
    28x + 2500 = 46x
    2500 = 46x - 28x
    2500 = 18x
    x = 138.9 ⇒ Rounded to 139 ovens

what is the approximate value of the square root of 8

Answers

2.828427 for your information

Answer:

2.828427

Step-by-step explanation:

I looked it up

A sample of 12 measurements has a mean of 8.5 and a sample of 20 measurements has a mean of 7.5. Find the mean of all 32 measurements.

Answers

multiply 8.5 by 12, multiply 7.5 by 20, add them together to get 252, then divide that by 32 to get 7.875. 7.875 is the mean of all 32 measurements

Value of the expression

Answers

[tex]\bf \cfrac{1}{4}\div \cfrac{4}{10}~~+~~\cfrac{5}{7}\div \cfrac{5}{7}\implies \cfrac{1}{4}\cdot \cfrac{10}{4}~~+~~\cfrac{5}{7}\cdot \cfrac{7}{5}\implies \cfrac{1\cdot 10}{4\cdot 4}+\cfrac{5\cdot 7}{7\cdot 5} \\\\\\ \cfrac{10}{16}+\cfrac{35}{35}\implies \cfrac{10}{16}+1\implies \cfrac{(1\cdot 10)~+~16}{16}\implies \cfrac{26}{16}\implies \cfrac{13}{8}\implies 1\frac{5}{8}[/tex]
1/4 ÷ 4/10 + 5/7 ÷ 5/7

Note: 5/7 ÷ 5/7 = 1

This brings us to

1/4 ÷ 4/10 + 1

1/4 * 10/4 + 1

10/16 + 1

5/8 + 1

Answer: 13/8

Solve the Pythagorean Theorem for the variable a.
c²=a²+b²

Answers

you need the values of A, B, and C to solve the problem

a = sqrt (c-b)
Subtract the b value
Take the square root

Determine the inverse of f(x) = x^3 - x^2 - 2x show steps

Answers

Switch the x and y values to find the inverse.

y=x−3x+2

The inverse is given by

x=y−3y+2

Solve for y now:

x(y+2)=y−3

xy+2x=y−3

2x+3=y−xy

2x+3=y(1−x)

2x+31−x=y

The inverse, f−1(x), is given by f−1(x)=2x+31−x.

The function can be graphed using knowledge of asymptotes, invariant points, and intercepts. Prepare a table of values for f(x). Recall that f−1(x) is simply a transformation of(x) over the line y=x, so f−1(x) has a table of values where X and y are inverted relative to f(x).

For example, if the point (2,3) belongs on the graph of f(x), the point (3,2) belongs on f−1(x).


Replace F(X)FX with yy.y=X3+2X−3Xy=X3+2X-3XInterchange the variables.X=y3+2y−3yX=y3+2y-3y

Which of the following terms, when added to the given polynomial, will change the end behavior?

y = –2x7 + 5x6 – 24

a)–x8

b)–3x5

c)5x7

d)1,000

e)–300

Answers

Answer:

1.A  

2.C

Step-by-step explanation:

The end behaviour of the polynomial function y = -2x⁷ + 56x⁶ - 24 will change for a) - x⁸ and c) 5x⁷.

What is the end behavior of a polynomial?

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

Given, a polynomial function y = -2x⁷ + 56x⁶ - 24.

So, the given polynomial function has a degree of 7 and its end behavior will be changed by adding or subtracting terms that are of degree 7 and higher.

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Find the point in the first octant where the tangent plane to x2+116y2+14z2=1 is parallel to the plane x+y+z=10

Answers

2x+3=yx bc it makes the most sence

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun? (1 point)
Select one:
a. 5.2 ⋅ 107 kilometers
b. 4.7 ⋅ 108 kilometers
c. 5.2 ⋅ 108 kilometers
d. 5.7 ⋅ 109 kilometers

Answers

a  5.2.107 kilometers

Answer:

a) 5.2 *10^7 km

Step-by-step explanation:

If we could describe our Solar System, in order of appearance nearer the Sun, it would be like this:

Sun --- Mercury --- Venus --- Earth

Sun --------------------- Venus

1.1 * 10^8 km

Sun -------Mercury

5.8 * 10^7 Km

To find out how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun, all we have to do is simply subtract the distance Sun ---Venus minus Sun ---Mercury

So,

1.1 * 10^8 - 5.8 * 10^7 =

Adjusting the first distance to the same power

110*10^7- 5.8*10^7 =

Subtracting the factors

5.2 * 10^7

       

tina wants to save money for school. tina invests 1100 in an account that pays an interest of 7.25%. how many years will it take the account to reach 6600?

Answers

Final answer:

It would take approximately 19 years for Tina's investment to grow from $1100 to $6600 with an annual interest rate of 7.25% if the interest is compounded annually.

Explanation:

This problem deals with the concept of compound interest. To find out how many years it will take for Tina's investment to grow from $1100 to $6600 with an interest rate of 7.25%, we would use the formula for compound interest: A = P(1 + r/n)_(nt), where A is the final amount, P is the principal amount (initial investment), r is the annual interest rate (in decimal form), n is the number of times interest is compounded per time unit (year), t is the time the money is invested for in years.

In Tina's case, she does not make additional contributions, so we assume the interest is compounded once per year (n=1). Our formula becomes A = P*(1 + r)_t. Arranging for t, we get t = log(A/P) / log(1+r).

Using these values: A=$6600, P=$1100, r=7.25/100=0.0725, we can find t = log(6600/1100) / log(1+0.0725). Calculating this, you would get around 19 years.

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A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?

Answers

He would use 9 bills, and 5 coins. (fours $10, one $5, four $1. three quarters, one dime, and one penny). I calculated it all to make sure the total came out as 49.86
 

Look at the triangle what is the value of sin X ?

Answers

the sin of an angle is the opposite ÷ hypotenuse

The side opposite angle x is 5cm, and the hypotenuse is 13 cm. 
So, the sin (x) = 5 ÷13 
Other Questions
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