You have $80 and your brother has $275 dollars. You save $10 of your allowance each week. Your brother spends his allowance plus $15 each week.


1. Write an equation to model this.


2. How long before you have as much money as your brother?


3. How much have you saved when you catch up to him?

Answers

Answer 1
You start with 80 and ADD 10 each week
----> 80 + 10x

Your brother starts with 275 and SUBTRACTS 15 each week
---> 275 - 15x

Set expressions equal to find out when you have same amount as your brother.

80 +10x = 275 -15x

Add 15x to both sides

80 +25x = 275

Subtract 80 from both sides

25x = 195

Divide by 25

x = 7.8  (Round up to 8)

This means in 8 weeks you will have caught up and if fact have more money than your brother.

Since you save 10 per week, in 8 weeks the Total saved = 10*8 = 80

Related Questions

You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent error.

Answers

20-16=4
16/4=4
1/4=.25
.25=25%

Answer:

It's mainly 25% as the percent error.

Step-by-step explanation:

PLEASE HELP

Which is a true statement about any two congruent chords in a circle?

A. They form an angle.
B. They are perpendicular.
C. They are parallel.
D. They are equidistant from the center of the circle.

Answers

D. They are equidistant from the center of the circle

In other words, they are the same distance away from the center

WriteTwo Equivalent Ratios For The Given Ratio 9/10
...?

Answers

Equivalent ratios both the numerator and denominator by the same value, e.g.
27/30
18/20

If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x)/g(x)
2x+3/x-2
2x-3/x+2
2x+3/x+2
2x-3/x-2

Answers

I hope this helps you

To find f(x)/g(x), we factor both f(x) and g(x), and then simplify by canceling common terms. The simplified result is 2x + 3 / x + 2.

To find the quotient of two functions, f(x) and g(x), we divide the first function by the second. In this case, we have f(x) = 2x² - x - 6 and g(x) = x² - 4. The process involves the following steps:

Write the division of the two functions: f(x)/g(x).Simplify the expressions, if possible, by factoring and reducing them.

We start by factoring both f(x) and g(x):

f(x) = (2x + 3)(x - 2)
g(x) = (x + 2)(x - 2)

Now we divide f(x) by g(x):

f(x)/g(x) = ((2x + 3)(x - 2)) / ((x + 2)(x - 2))

Notice that the term (x - 2) is common in both the numerator and the denominator, so we can reduce the expression by canceling out the common term, resulting in:

f(x)/g(x) = (2x + 3) / (x + 2)

The correct result is the second option: 2x + 3 / x + 2.

What is the formula that relates circumference and radius?

A. C = 2r
B. C = 2/r
C. C = 2D
D. C + 2 = r

Answers

All the options are incorrect, if you're talking about circle! which is most common
C = 2πr..... It is the relation for Circle's if you're considering something else, then, please mention!

Answer:

The formula that relates circumference and radius is [tex]C=2\pi r[/tex].

Step-by-step explanation:

The circumference of a circle is calculated by the formula

[tex]C=2\pi r[/tex]

Where,

C is circumference of the circle.

r is radius of the circle.

π is 22/7 or 3.14.

In the given options π is not missing. So, all the given options are incorrect.

Therefore the formula that relates circumference and radius is [tex]C=2\pi r[/tex].

When a number is divided by 5, the result is 50 more than if the number had been divided by 6. what is the number?

Answers

[tex] \frac{x}{5} -50= \frac{x}{6} [/tex]
[tex]30( \frac{x}{5} -50)= 30(\frac{x}{6})[/tex]
[tex]6x -1500=5x[/tex]
[tex]1500 = x[/tex]
x=number
x/5 is 50 more than x/6
x/5=50+x/6
6x/30=50+5x/30
minus 5x/30 from both sides
x/30=50
times 30 both sides
x=1500

the number is 1500

mx+4y=3t, Solve for the value of x

Answers

The answer is x = (3t - 4y)/m

mx + 4y = 3t
__________
Distract 4y from both sides of the equation:
mx = 3t - 4y
__________
Divide both sides of the equation by m:
x = (3t - 4y)/m
Final answer:

To solve mx+4y=3t for x, subtract 4y from both sides to isolate the x term, giving mx = 3t - 4y. Then, divide both sides by m to solve for x, resulting in x = (3t - 4y) / m.

Explanation:

To solve the equation mx+4y=3t for the value of x, follow these steps:

First, isolate the x term by moving the 4y to the other side of the equation. This gives us:mx = 3t - 4yNext, divide both sides of the equation by m to solve for x:x = (3t - 4y) / m

You can now plug in the known values for y, t, and m to find the value of x.

To get to work, matt walks 0.75 miles from his house to the bus stop and rides the bus 3.8 miles to his office. if he walks at a pace of 3.6 miles per hour and the bus drives at an average speed of 15 miles per hour, how long is with his commute?

Answers

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round to the nearest integer).
FIRST GRAPH
A) 20 units^2
B) 30 units^2
C) 40 units^2
D) 50 units^2

Answers

Since you haven't provided the data to answer the problem, I have my notes here that might guide you solve the problem on your own:

Now, consider a triangle that’s graphed in the coordinate plane. You can always use the distance formula, find the lengths of the three sides, and then apply Heron’s formula. But there’s an even better choice, based on the determinant of a matrix.

Here’s a formula to use, based on the counterclockwise entry of the coordinates of the vertices of the triangle
 
(x1, y1), (x2, y2), (x3, y3) or (2, 1), (8, 9), (1, 8): A = x1y2 + x2y3 + x3y1 – x1y3 – x2y1 – x3y2.

Solve the equation. 
 
–2 3/7 + b = 6 1/7



 
A.
b = 3 5/7


 
B.
b = 4 2/7


 
C.
b = 8 2/7


 
D.
b = 8 4/7

Answers

Correct answer is 8 4/7

Which input value produces the same output value for the two functions on the graph?

x = -3
x = -2
x = -1
x = 3

Answers

I hope this helps you

what is the correct expansion of the binomial (x+y)^5

Answers

This is the answer to your problem.

Answer: The correct expansion is,

[tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

Step-by-step explanation:

Since, by the binomial expansion,

[tex](p+q)^n=\sum_{r=0}^{n} ^nC_r (p)^{n-r}(q)^r[/tex]

Where,

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Here, p = x and q = y and n = 5,

By substituting values,

[tex](x+y)^5=\sum_{r=0}^{5} ^5C_r (x)^{n-r}(y)^r[/tex]

[tex] =^5C_0(x)^{5-0}(y)^0+^5C_1 (x)^{5-1}(y)^1+^5C_2 (x)^{5-2}(y)^2+^5C_3 (x)^{5-3}(y)^3+^5C_4 (x)^{5-4}(y)^4+^5C_5(x)^{5-5}(y)^{5}[/tex]

[tex]=1(x)^5(y)^0+\frac{5!}{4!(5-4)!}x^4y^1+\frac{5!}{3!(5-3)!}x^3y^2+\frac{5!}{2!(5-2)!}x^2y^3+\frac{5!}{1!(5-1)!}xy^4+\frac{5!}{5!(5-5)!}x^0y^5[/tex]

[tex]=x^5+\frac{5!}{4!1!}x^4y^1+\frac{5!}{3!2!}x^3y^2+\frac{5!}{2!3!}x^2y^3+\frac{5!}{1!4!}x^1y^4+\frac{5!}{5!0!}x^0y^5[/tex]

[tex]=x^5+\frac{5\times 4!}{4!}x^4y^1+\frac{5\times 4\times 3!}{3!2!}x^3y^2+\frac{5\times 4\times 3!}{2!3!}x^2y^3+\frac{5\times 4!}{4!}x^1y^4+\frac{5!}{5!}y^5[/tex]

[tex]=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

Which is the required expansion.

PLEASE ANYONE HELP MEEE!!!!

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

A.

26 cm
B.

52 cm
C.

75 cm
D.

100 cm"

Answers

Well, as the  apothem is  = s/2*Tan(180/n). 
5 = S/2*Tan(180/3), S = 17.32 cm. 
P = 17.32 + 17.32 + 17.32 = 52 cm.
So your option will be the second one: B. 52 cm.
Hope this is useful

How many pounds does 64 ounces weigh?

Answers

Answer:

4 lbs

Step-by-step explanation:

There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds.  64 ÷ 16 = 4 lbs

Suppose you deposited $10 into your savings account each month, as indicated in the table. Your account pays 4%, compounded monthly. How much will you have in your account at the end of 15 years? a. $2,908 c. $3,668 b. $2,461 d. $1,800 Please select the best answer from the choices provided

Answers

I think its D. $1,800 because 10.4 multiplied by twelve is 124.8 and if you multiply that by 15 you get $1.872. 

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

The independent variable, the input, is the variable d, representing distance.

The distance traveled depends on the amount of time Marlene rides her bike.

The initial value of the scenario is 16 miles per hour
.
The equation t = d + 16 represents the scenario
.
The function f(t) = 16t represents the scenario.

there can be more then one answer

Answers

The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) - 16t

Both of these statements describe the relationship.

Answer:

B and E are the answers

Step-by-step explanation:

Enjoy! <3

Am I able to evaluate sin(cos^1(7/11)) without a calculator? If yes, how? ...?

Answers

Final answer:

Yes, you can evaluate sin(cos^-1(7/11)) without a calculator. The result can be simplified to √(72/121).

Explanation:

Yes, you can evaluate sin(cos-1(7/11)) without a calculator. Let's break it down step by step:

cos-1(7/11) represents the inverse cosine of 7/11. Inverse cosine is the angle whose cosine is equal to the given value. So, cos-1(7/11) is the angle whose cosine is 7/11.To evaluate sin(cos-1(7/11)), we need to find the sine of the angle we found in the previous step.Since we know that sin2(θ) + cos2(θ) = 1, we can use this relationship to find sin(θ) when we know cos(θ).Let's assume the angle we found in step 1 is θ. We know that cos(θ) = 7/11, so we can substitute this value into the equation sin2(θ) + (7/11)2 = 1 and solve for sin(θ).By solving the equation, we find that sin(θ) = √(1 - (7/11)2).Finally, we can simplify the expression sin(θ) = √(1 - (49/121)) or sin(θ) = √(72/121).

Therefore, sin(cos-1(7/11)) can be evaluated as √(72/121).

What is the resulting ordered pair if the value of the independent variable is x=-3?f(x) = –2x-3

Answers

I hope this helps you




x= -3



f (-3)= -2.(-3)-3


f (-3)= 6-3


f (-3)=3

How many atoms of oxygen are in one formula unit of Ca(No3)2?

Answers

The answer here would be 6 atoms
The given compound is Calcium Nitrate, which is formed by combing Calcium, Oxygen and Nitrogen atoms.

In the compound [tex]Ca(NO_3 )_2[/tex],the subscript, 3 implies that, there are three atoms of oxygen in the parenthesis.

The 2 outside the parenthesis tells us the nitrate[tex](NO_3)[/tex] is doubled and that each atom is also doubled.

In order to obtain the number of oxygen atoms in the compound, we have to multiply the subscript, [tex]3[/tex] of oxygen, by the subscript [tex]2[/tex] which is outside the parenthesis.

This implies that,

The number of oxygen atoms [tex]=3\times2=6[/tex]

Therefore there are [tex]6[/tex] oxygen atoms in the given compound.

Word Problem help please

1. The magician said "The average of seven numbers is 49. If 1 is added to the fisr number, 2 is added to the second number, 3 is added to the third number and so on up to seventh number". what is the new average ? ...?

Answers

11 is the average...that i get.

Jeremiah has a batting average of 0.312 this baseball season. Express his average as a fraction in lowest terms.

Answers

Express it as 0.312/1 then multiply top and bottom by 10 until you have a fraction:

0.312/1 * 1000/1000 = 312/1000
Then simplify:

39/125

A quadrilateral has angles that measure 74°, 93°, and 117°.

Answers

We know the sum of all the angles in a quadilateral is equal to 360. so,
it would be: 360 - (74+93+117)

 = 360 - 284
 = 76 degrees

So, Your final answer is 76 degrees.

Hope this helps!

there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape soda? Give your answer as a ration in its lowest terms.

Answers

To calculate probability take the events / the outcome.

3 grape sodas / total drinks

You will need to add all the drinks together to get the total drinks
(5 + 3 + 7 + 8 = 23)

3 / 23 is your probability

This ratio cannot be simplified into lowest terms
3 out 23 because add all the numbers of soda and grape has 3 sodas so 3 out of 23

-2i over 1+i ... help :(

Answers

If you're evaluating, then multiply by the conjugate and simplify.
= -1 -i
The answer would be the same even if you divided...and or, wrote it in simplest form.
The answer to your question is  -l - i 

1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither

Answers

I am gonna guess it is C. Both for this one.

Find the measure of

Answers

The measure of what?
the measure of what ??

11 less than the product of a number y and -2 is z

Answers

maybe -14 not for sure

Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.

B.if a polygon is a rhombus, then it is a square.

C.if a polygon is a rhombus, then it is a parallelogram.

D.if a polygon has four congruent sides, then it is a square.

Answers

D.if a polygon has four congruent sides, then it is a square.

Answer:

Step-by-step explanation:

How to simplify and expression by combining like terms?

Answers

You simplify a expression using like terms by taking the 2 with the exact same variable and combining them.And the 2 (or more)constants and combine them. For example: 2x+6-2x+1= 2x combined with 2x equals 4x And positive 6 plus positive 1 equals positive 7. Hoped this helps

Rate of Change , you are given the dollar value of a product in 2004 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value (v) of the product in terms of the year
(Let t=0 represent 2000.)

2004 value= $156 with $4.50 increase per year
...?

Answers

when t=4, v = 156the equation of linear liney = mx+bm=slopeb = y-intercept or initial valueapply it to this problemv = 4.5t + bto solve for b, use given info (v=156 when t=4)156 = 4.5(4) + bb = 156 - 4.5(4)b = 156 - 18b = 138
Linear equation:v = 4.5t +138this means the product had value of $138 in 2000

Answer:

The linear equation is v = 4.5t +138

The product had value of $138 in 2000.

Step-by-step explanation:

In 2004, dollar value(v) = $156 and rate of change (m) = $4.50

The linear equation is in the form of y = mx + b, where "m" is slope or rate of change, b is the y-intercept.

We can rewrite the equation as v = m(t) + b.

Now let's find the value of b, when t = 4, m = 4.5, v = 156

156 = 4.5(4) + b

b = 156 - 4.5(4)

b = 156 - 18

b = 138

So, the linear equation is v = 4.5t +138

When t=0, the dollar value (v) = 4.5(0) + 138

v = $138

So, the product had value of $138 in 2000

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