You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?

Answers

Answer 1

Answer:

$55

Step-by-step explanation:

Let w = the no. of weeks

35 + 2.50w = amount you will have in the account after w weeks

115 - 7.5w = amount cousin will have in the account after w weeks

You need to set these expressions equal to each other.

35 + 2.50w = 115 - 7.5w     Multiply thru the equation

                                            by 10  to remove the fractions

350 + 25w = 1150 - 75w

100w = 800

w = 8 weeks

35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55

115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55


Related Questions

Find the area of a rhombus, whose diagonals are 10cm and 5.2cm
step by step ​

Answers

The area of a rhombus is p x q divided by 2.

p and q are both the diagonals of the shape.

In this case, we would do 10 x 5.2 divided by 2, which gives us 26, so your answer is 26 cm^2 (squared).

Hope this helps!

a sweater is 15% off the regular price is $24 what is the price after the discount is taken off?​

Answers

Answer:

$3.6

Step-by-step explanation:

15x24=360 360/100=3.6

what does p equal please help me.

Answers

Answer: p < -3/5

Step-by-step explanation:

2p - 4 < -3p - 7

+3p       +3p

------------------------

5p - 4 < -7

     +4   +4

------------------------

5p < -3 (divide by 5)

p < -3/5

11. Carlos put $100 in a savings account at the beginning of the year. At the end of each month, he added $15 to the account. Ana put $400 in her savings account at the beginning of the year. At the end of each month, she took $35 out of her account. Let x represent the number of months which have passed and y represent the amount in each savings account.

a. Write an equation to represent the amount in Carlos' savings account.

b. Write an equation to represent the amount in Ana's savings account.

c. Copy and complete the input-output tables through 8 months.s

d. When will Carlos and Ana have the same amount in their savings accounts? How much will they each have at this time?​

Answers

Answer:

Step-by-step explanation:

8

Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.

Answers

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

A rectangular playground has a width of 54 feet and a length of 81 feet. Martina makes a scale model of the playground using a scale of 1 in:3 ft.

What are the dimensions of Martina’s scale model?

Answers

Answer:

72 and 108

Step-by-step explanation:

540/30= 18 *4 = 72

and

810/30= 27*4=108

1. ) Explain the error in this simplification
2.) Show your work as you correct the error

Answers

Answer:

Given equation:

1 - 2/(x - 2) = (x + 1)/(x + 2)

Correct solution:

(x - 2 - 2)/(x - 2) = (x + 1)/(x + 2)         complete the fraction on the left(x - 4)(x + 2) = (x + 1)(x - 2)                 cross-multiplyx² + 2x - 4x - 8 = x² - 2x + x - 2         open parenthesis-2x - 8 = -x - 2                                    simplify-x = 6x = -6

Errors

Step 1.  not counting 1 as part of equation. It wasn't included into fraction.Step 1.  not multiplying (x - 2) by 1.Step 4. - x + 2x = -2x is incorrect, it should be x

HURRY PLEASEEEEE I RLLY NEED THISSS

Answers

the answer is option 2

Answer:

Option 2

Step-by-step explanation:

Given function:

x=8 and y=6x=5 and y=20

Option 1: ×

Table one: y=8-6

if y is 6 then 8-6 can’t be 6 it is 2.

Option 2: √

Table one:

y=8-2

y would be 6 then this would be correct..

Table two:

y=4x

if y=20 then x would be 5 and if y is 16 then x=4.

Option 3:×

y=4x

this is wrong since table 2 is y=4x..

Option 4:×

Table one

y=x-4

if y is 6 and x is 8 then this is wrong..

Therefore, option 2 is correct..

2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =
45
у
о
Help

Answers

(5,7) because when you divide that’s the answer you get

Six less than the quotient of a number and 7 is 8.



Help

Answers

Answer:

X ÷ 7 - 6 = 8

Is your expression.

7964/52-6896:2662 is the best game for me and i i i i i i i the best app store in my

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pls help i beg u

Answers

Answer:

its less than <

Step-by-step explanation:

........

Answer:

>

Step-by-step explanation:

[tex]12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} [/tex]

HELPPPPPP!!!!! ASAPPPPPPP!!!!!!!!

Which of the following expressions is correctly written in scientific notation?

Answers

Answer:

The third one

Step-by-step explanation:

what is the distance between (0.-3) and (9.6)

Answers

Answer:

d = 12.7  when rounded to the nearest tenths

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (0, -3) and (9, 6)

d=√((9-0)²+(6-(-3))²)

d=√((9))²+(6+3))²)

d=√(81 + (9)²)

d = √162

d = 12.727...

d = 12.7  when rounded to the nearest tenths

Is 5 a solution to -2 - x -15 = 27? Why or why not?

Answers

My simplyfied answer is -44, when adding 17 to both sides and it is simplify it becomes -x = 44

Two groups of students were asked how far they lived from their school. The table shows the distances in miles:


Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.

Answers

Answer:

B

Step-by-step explanation

add all numbers then divide by the number of numbers and you get the means

Answer:

B

Step-by-step explanation:

8(5g+5−2) Distributive Property to simplify the expression.​

Answers

Answer:

= 40g -24

Step-by-step explanation:

you would multiply everything in the bracket by 8 to expand this

e.g.

(8x5g )+ (8x5 )+ (8 x -2)

= 40g + 40 - 16

now simplify by subtracting the like terms

= 40g -24

Are these triangles congruent by ASA (Angle-Side-Angle)? *
yes
or
No

Answers

Answer:

Yes, they just flipped the second one around.

Step-by-step explanation:

On a horizontal number line, –43 is located to the left of –35.
Enter an inequality that represents this statement.

Answers

Answer:

-43 <-35

Step-by-step explanation:

hope it helps.................

A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?

Answers

Answer:

y=10x-10

Hope this helped <3

what's the value of y ?

[tex]y = ( { - 2 })^{2} [/tex]

Answers

y=-4
because -2 squared would be -4

Write in point-slope form an equation of the line that passes through the point (9, 8) with slope -6 .

Answers

Answer:

y= -6x+62

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-6(x-9)

y-8=-6x+54

+8        +8

y= -6x+62

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no
less than $1 combined. At least 2 of the coins are nickels and at least 9 of the
coins are dimes. Solve this system of inequalities graphically and determine
one possible solution.

Answers

9514 1404 393

Answer:

 2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

  (2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

__

Three solutions are shown:

  (x, y) = (2, 9), (3, 10), (4, 11)

Helpppppp PLEASEEEEEEEEE MATH SUCKS AND I NEED YOUR BRAIN FOR HELP


pls number them by

6.
7.
8.
9.







:)

Answers

Answer:

Question 6: 3

Question 7: $1750

Question 8: 45 minutes

Question 9: $48

Step-by-step explanation:

Please help. Will give Brainliest

Answers

Answer:

A dilation

Step-by-step explanation:

I did this in math

Hope I helped! Have a nice day! Plz mar as brainliest!!! :D

-XxDeathshotxX

Answer:

This is a nonrigid transformation called a dilation.

Step-by-step explanation:

A dilation is when a pre-image's dimensions are altered in proportion with the pre-image. The image has a proportional relationship with the pre-image. The shape can get larger or smaller in size.

A circle has a radius of 9 cm.
Work out the area of the circle.
Give your answer in terms of pi.

Answers

Radius = 9cm

So,

Area of circle = πr²

= π(9)²

= π × 81 cm²

= 81π cm²

Answer:

254.469 cm

Step-by-step explanation:

area = πr^2

π × 81 = 254.469005 rounded to 254.469 cm

in other terms, 81π cm^2

Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.

Answers

Answer:

A

Step-by-step explanation:

His speed change is the slope or -15, decreases by 15 miles/hour

when he starts, his speed is 0*-15+60 = 60 miles/hour

Answer:

a

Step-by-step explanation:

Solve for X. Please help ASAP! I have no idea how to do this and it’s due really soon!

Answers

Answer:

2

Step-by-step explanation:

5x+6=7x-2

5x+4=7x

4=2x

4/2

2

Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length. Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

A side of the triangle must be shorter than the sum of the remaining two sides.

He cannot make a triangle with 3, 4, and 8.

The graph of the equation y = - 3/4X - 3 has what slope?

Answers

Answer: 3/4x

Step-by-step explanation:

y = mx + b

m = slope b = y - intercept

y= 3/4x -3

help plssssssssssssssss
one question

Answers

A. Hope this helped
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