Savings Accounts
Alyssa starts with $30 and saves $5 each week. Bill has $16 and saves $7 each
week. At what week will Alyssa and Bill have the same amount of money?

Answers

Answer 1

Answer:

7  weeks

Step-by-step explanation:

Given data

Alyssa starts with $30 and saves $5 each week

let the number of weeks be x

y= 30+5x----------1

Bill has $16 and saves $7 each

week.

y= 16+7x----------------2

equate 1 and 2

30+5x= 16+7x

30-16= 7x-5x

14= 2x

x= 14/2

x= 7  weeks


Related Questions

- 11 2/3 x (-4 1/5)=?

Answers

if you use photomath and show your question its easier but i got 49

Help me please! Thank you =D

Answers

Answer:

2A=A+A

Step-by-step explanation:

2A=A*A, not A+A

2A = A + A

hope this helps :)

what is 3/4b>15 solution

Answers

The solution set of the given inequality is  {b| b > 20}.

How to solve the inequality?

Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.

And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:

(4/3)*(3/4)*b > 15*(4/3)

b > 20

Then the solution set can be written as {b| b > 20}

That is the set of all values larger than 20.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

The ratio of Ali's to Beth's score is 5:3. Ali
scored 10 more marks than Beth. Clare scored
7 more than Ali. Find the score of all three.

Answers

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

Help guys I really need it​

Answers

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.

Answers

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

2x - 2 = x-5
I’ll give 35 points plz help

Answers

Answer:

x = -3

Step-by-step explanation:

2x-x=-5+2

x = -3

a reflection of the pink triangle is shown. which transformation makes this reflection

Answers

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

earth takes 6 seconds to travel 114 miles around the sun. How fast does the earth travel around the sun in miles per second

Answers

Answer: 19

Step-by-Step explanation:

So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.

Determine whether the graph represents a function. Explain.

Answers

Answer:

it does not represent a function

Step-by-step explanation:

it is not liner

Answer:yes

Step-by-step explanation:

each x value has one y value

3x + 7 + -X - 13
plz help

Answers

Hope this helps and if it doesn’t I’m sry

Answer:

3x+7-x-13

3x-6-x

=2x

pls mark brilliance if im right

There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)

Answers

Answer:

A. (3,2) . I recommend using desmos to find the coordinates

9514 1404 393

Answer:

  A.  (3, 2)

Step-by-step explanation:

The midpoints of the diagonals are the same point, so you have ...

  X = (A +C)/2 = (B +D)/2

  A +C = B +D . . . . . . . multiply by 2

  A +C -B = D . . . . . . . subtract B

The coordinates of D are ...

  D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)

  D = (3, 2)

Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?

Answers

Answer:

I don't know.

Step-by-step explanation:

7 times m help helpp

Answers

7*m = 7m i think this is right
Yes 7 x m is equal to 7m

HELP MEEEEEEEEEEEEE!!!!!!!!!!!!!!!!

Answers

Answer:

linear or Quadratic

i hope it works

answer: quadratic

you know it’s a quadratic when the second difference is the same number
so

the first difference is:
0 to -3 is -3
-3 to -4 is -1
-4 to -3 is +1
-3 to 0 is + 3

the second difference is:
-3 to -1 is +2
-1 to 1 is +2
1 to 3 is +2

since the second difference is always +2
the function is QUADRATIC

What is the solution to the following system of equations:

7x+2y=24
8x+2y=30

Answers

Answer:

(6,-9)

Step-by-step explanation:

Answer:

x=6 y=-9

Step-by-step explanation:

Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?

A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base

Answers

Answer:

I tried A.

Step-by-step explanation:

It's all like a fraction & multiplication type answer im if wrong correct me!

Answer:

i feel like it would be B

Step-by-step explanation:

Hopefully this helps!!!

Would it be better to have a higher interest rate on a loan or on an investment? Explain.

Answers

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

Scott can you help I am confused... Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from 2.25 to 2.50 per gallon each week. Write a compound inequality to model all of the possibilities amount of money (m) Naviah spends on gas each week.

Answers

Answer:

Amount of money Naviah spends each week  is ranged from 18 to 30

( 18 ≤ m ≤ 30 )

Step-by-step explanation:

Let Naviah buys gas each week = x gallons

As given,

Naviah buys at least 8 but no more than 12 gallons of gas each week.

⇒8 ≤ x ≤ 12

Now,

Let the price of gas each week  = p

As given,

The price of gas ranged from 2.25 to 2.50 per gallon each week.

⇒2.25 ≤ y ≤ 2.50

Now,

Amount of money spend (m) = (Total gas buy)(Price of gas)

                                              = xy

⇒ m = xy

Now,

we have

8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50

Multiply both the inequality , we get

8×2.25 ≤ x.y ≤ 12×2.50

⇒18 ≤ xy ≤ 30

⇒18 ≤ m ≤ 30

∴ we get

Amount of money Naviah spends each week  is ranged from 18 to 30.

Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.

Answers

Answer: 12%

Step-by-step explanation:

Pls help find x in both

Answers

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

......................help

Answers

Answer:

its 2.4

Step-by-step explanation:

three to the fifth power
answer please​

Answers

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies

Answers

Answer:

1/2 of the class

give brainliest if it helps

Wesley drives 12 miles to work every day. During his drive to work he sees 18 billboards. Which ratio shows miles driven to billboards seen by Wesley?

Answers

Answer:

2:3

Step-by-step explanation:

divide both by 6.

Find the slope of the line that passes through K(-4,4), L(5,4)

Answers

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

1/4=something 8 plz help me

Answers

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

Cuanto da la siguiente operación matemática : 5√225 ?

Answers

the answer is 75 .....

Answer:

75

Step-by-step explanation:

pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers

Answers

13 nehrdjyyk ivihudkihpyvkjj ty

Answer:

i would ask someone else sorry

Step-by-step explanation:

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