Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

Buttercup starts with $10 in her savings account and adds $20 per week (y=10+20x)

After how many weeks will they have the same amount of money?

Answers

Answer 1

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

[tex]y=85+5x[/tex]

Buttercup starts with $10 and saves $20 per week. So:

[tex]y=10+20x[/tex]

When they have the same amount of money, the two equations will be equal to each other. Therefore:

[tex]85+5x=10+20x[/tex]

Solve for x. Subtract 10 from both sides:

[tex]75+5x=20x[/tex]

Subtract 5x from both sides:

[tex]75=15x[/tex]

Divide both sides by 15:

[tex]x=5[/tex]

Westley and Buttercup will have the same amount of money after 5 weeks.


Related Questions

Help please asap................

Answers

Answer:

Linear pair

Step-by-step explanation:

<1 and <2 lie on a straight line.

Angles that lie on a straight line are considered as linear pair angles.

Linear pair angles sum up to 180°, which is the measure of a straight line angle.

Please hurry. It’s due in 20 minutes

Answers

Answer:

root(x+6) +3

Step-by-step explanation:

so you see that it is moved 2 left and 5 up

so root (x+6) +3

can any one figure this out plz

Answers

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

There is a box of cards in front of you with 9 heart cards, 4 spade cards, 7 club
cards, and 8 diamond cards. What is the probability of selecting a heart, not
replacing it, then selecting a spade, not replacing it, and on the third pick,
selecting a card that is not diamond? *

Answers

Answer:

heart cards 9/28

spade cards 4/27

diamond card 18/26

Step-by-step explanation:

you have 9 heart cards in all and 28 in all

take one heart out and not replacing you have 27

you have a 4/27 chance of getting spade because you have 4 spades out of 27 cards

now you have 26 cards from taking the one spade & heart out you have a 8/26 chance of getting diamond but a 18/26 chance of getting any other card

im sorry i dont know

es perpendicular 3x+y-9=0 y pasa por el origen (0, 0).

Answers

Answer:

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

Step-by-step explanation:

Una recta que es perpendicular a la pendiente de una ecuación es la recíproco negativo. de l

a ecuación original.

Primero, este problema está en forma estándar, así que conviértalo a la forma de intersección de pendiente

[tex]3x + y - 9 = 0[/tex]

[tex]3x + y = 9[/tex]

[tex]y = 9 - 3x[/tex]

[tex]y = - 3x + 9[/tex]

Ahora encuentre el recíproco negativo de la pendiente que es -3x

[tex] \frac{ - 3}{1} [/tex]

[tex] - ( - \frac{3}{1} [/tex]

[tex] \frac{1}{3} [/tex]

La pendiente es 1/3, así que sepa que introduzca 0 para nuestro valor X para encontrar nuestro valor y

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

[tex]y = \frac{1}{3} (0)[/tex]

y=0

0,0

(6, -12), (15,-3)
slopeee

Answers

The answer is
M=1
Your welcome:)

Some people believe there are too many taxes and that tax rates
are too high. They refuse to file tax returns or pay taxes because
they disagree with how the government spends the money. Do you
agree with these arguments? Why or why not?

Answers

Answer:

Step-by-step explanation:

(This is technically a personal opinion question) In MY opinion all government run things from libraries to schools to the military come from taxes. If you don't agree with how the government spends the money that you pay in taxes yet enjoy/use government facilities then you have no room to complain and not pay your taxes.

Which expression is equivalent to 2(5 – 3x)? 10 - 5x B B) 10 - 6x 0 7 - 5x D) 7 - 6x​

Answers

Answer:

B) 10-6x is the answer ...

I am not understanding this topic in math and I have a huge test tomorrow, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️

Answers

Your answer is C y=1/2+9 since it is in y=Mx+b form. Hope this helps, and good look on your test!

Evaluate 42 – a² + ab for a = 6 and b = 5.

Answers

42-(6x6)+(6x5)
42-36+30
6+30
Answer: 36

Answer:

42-a²+ab

42-6²+6×5

42-36+30

6+30

36.

A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage?

Answers

Answer: The team needs to win 15 more games to get 90% winning percentage.

Step-by-step explanation:

80%=4/5  divide 15 by 5 and you get 3, which is 1/5 of 15, so you must multiply it by 4 to get 80% of 15 which is 3*4=12

If you want 90%(or 9/10) of 30, you do the same thing, and you get 27.

27-12=15.

The team needs to win 15 more games to get 90% winning percentage

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

x = 70

Step-by-step explanation:

As the problem states, ∠ABD and ∠DBC are supplementary angles. This means they have a sum of 180°. Since we know this, we can set up an equation to solve for x.

x + 110 = 180

x = 70

Solve 136 = 17b.
The solution is b=

Answers

Answer:

8

Step-by-step explanation:

136=17b

b=136/17

b=8

I’m pretty sure 8 is the answer

The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

Answers

Answer:

The constant of proportionality is 225

Step-by-step explanation:

Given

[tex]y = 225x[/tex]

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

[tex]y = kx[/tex]

Where k is the constant of proportionality

By comparing:

[tex]y = kx[/tex] to [tex]y = 225x[/tex]

Hence:

[tex]k = 225[/tex]

simplify the numerical expression, expressing the answer in reduced form:

3/5*5/7+2/3*3/5-1/7*2/5=

Answers

27/35 will be your answer

state whether the linear equations in each pair are parallel, perpendicular,or neither.
y=6
x= - 2

Answers

Answer:

If you put it on a graphing calculator, they are perpendicular

Alice draws a histogram of a data set and finds that it is skewed to the right. What can be most likely concluded about the data set?
The median is less than the mean.
The median is greater than the mean.
The interquartile range is greater than the range.
The data set has no outliers.

Answers

Answer:

llllllllllllllllllll

Is this non linear or linear sorry i couldn't fit the whole thing​

Answers

linear.. as x increases by one, y increases by one

One of the oldest elephants on record lived for 130 yr. How many minutes is this? (use: 1 yr = 365 d)

Answers

Answer:

68,328,000

Step-by-step explanation:

take the minutes by the hours then by the amount of days in a year then by the amount of years and multiply it all

Last week Tom earned $4.50 for every car he washed.
He washed cars over the weekend and now has $63.
Which equation shows x, the number of cars he washed?
Ο Α.
$6x = $4.50
$4.50x = $63
O B.
O C.
O D.
x = $4.50 = $63
$4.50 $63 = x
Plz help

Answers

Answer:

4.50x=63

Step-by-step explanation:

in sum 14 cars washed

It B 4.50 that the answer

1/3 (9x-10) = 4 I need the answer and how you solve it

Answers

Answer:

X=22/9

Step-by-step explanation:

Multiply both sides by 3

Giving u 9x-10=12

Put x on one side

9x=12+10

9x=22

Divide both sides by 9 :)

absolute value for |27 1/4|

Answers

Answer:

27 1/4

Step-by-step explanation:

What does the caste system stand for?

Answers

A caste system is a class structure that is determined by birth. Loosely, it means that in some societies, if your parents are poor, you're going to be poor too. The same goes for the rich.

5) Brayden traveled 3 miles by'a bus, 25 miles by a train, 9 miles by a van, 30 miles
a car, 9 miles by a bike and walked 2 miles to visit few historical monuments..
Mean:
Median :
Mode :
Range :

Answers

Answer:

answer in explanation

Step-by-step explanation:

Mean: 13

Median: 9

Mode: 9

Range: 28

The mean,median,mode and range of the data will be 13,9,9 and 28.

How to find the mean of a data set?

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]

[tex]\rm Mean= \frac{3+25+9+30+9+2}{6} \\\\ Mean=13[/tex]

Arrange the data in the ascending order;

2,3,9,9,25,30

The median of the data set is;

[tex]\rm Median = \frac{9+9}{2} \\\\ Median =9[/tex]

Mode is the value appear most of the time in the data set;

9 is the number repeat two times in the data set.

Mode = 9

Range of the data is the difference of the maximum and the minimum value;

Range=30-2

Range=28

Hence,the mean,median,mode and range of the data will be 13,9,9 and 28.

Learn more about mean refer;

https://brainly.com/question/16118626

#SPJ2

Let me know if I’m correct or not !! I’m giving branliest for the correct answer!

Answers

I agree with poor,

But it’s poor because most of the points are below the line (two are on and none are above)

The none being above the line is the big give away

Please help me, I just need a refresher on the method to finding the answer.

Thanks!

Answers

Answer:

2.5%

Step-by-step explanation:

part over whole = part over whole

0.5/20 = p/100

then cross multiply

(0.5)(100) = 20p

50 = 20p

then divide both sides by 20

2.5 = p

To check, change 2.5% to a decimal by dividing by 100, (=0.025) then multiply by 20.

20 x 0.025 = 0.5

Please help


What is the circumference of a circle with a diameter of 14 centimeters?
centimeters
(Use 3.14 for Pi.)

Answers

Answer:

43.96 cm

Step-by-step explanation:

Given

diameter (d) = 14 cm

Circumference (C)

= πd

= 3.14 * 14

= 43.96 cm

What is the distance from X to Y?

A. 15 units
B. 3 units
C. 225 units
D. 21 units​

Answers

Answer:

15, A

Step-by-step explanation:

(0,6) (9,-6)

distance formula =

[tex]d= \sqrt{(x_2-x_1)²+(y_2-y_1)² }[/tex]

lets put our numbers

[tex]d= \sqrt{(0 - 9)²+(6+ 6)² }[/tex]

so answer will be = 15, A

The answer is A 15 units

Calculate the volume. Use a ~ 3.14 and round to the nearest whole number​

Answers

Answer:

answer is 283 in^3

Step-by-step explanation:

the exponent portion of a scientific number can be less than 1 true or false​

Answers

Answer:

True

have a nice day!!

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