One month Abdul rented 3 movies and 5 video games for a total of . The next month he rented 6 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.

Answers

Answer 1

Answer:

Video Games = $5.25

Movies = $1.25

Step-by-step explanation:

(3x + 5y = 30)2

6x + 2y = 18

                                           Video Games (y) = 5.25

  6x + 10y = 60

-  6x + 2y = 18  

      (8y)/8 = (42)/8

                                                                               

6x + 2(5.25) = 18

6x + 10.5 = 18

6x = 7.5

x = 1.25

Double Check by plugging in the numbers


Related Questions

Is 4.565656.... Rational or Irrational

Answers

Answer:

Rational

Step-by-step explanation:

4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.

4.5656565656... = [tex]4\frac{56}{99}[/tex]

Hope this helps.

PLZ HELP ME PLZZZZZ 50 points & brainleist to first person PLZ HELP ME

Answers

x=12 and t=9 GOOD LUCKKK

Evaluate the following: 6+ (5 + 1).

Answers

6+(5+1)
(5+1)=6
6(6)
6x6= 36

Answer:12

Step-by-step explanation:6+(5+1)

5+1=6

6+(6)=12

find equation of the line shown​

Answers

Answer:

[tex]\huge\boxed{y=-x+9}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

From the graph we have the y-intercept (0, 9) → b = 9.

Substitute it to the equation of a line:

[tex]y=mx+9[/tex]

From the graph we have the x-intercept (9, 0) → x = 9, y = 0.

Substitute to the equation:

[tex]0=9m+9[/tex]          subtract 9 from both sides

[tex]-9=9m[/tex]         divide both sides by 9

[tex]-1=m\to m=-1[/tex]

Finally:

[tex]y=-1x+9[/tex]

Kendra took out a loan for $8,000 for 3 years with a compound interest rate of 1.75%. How much will she owe

Answers

Answer:

She will owe approximately $8,427.40 after three years.

Step-by-step explanation:

The compound interest formula is

A = P(1 + r/n)^(nt)

where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.

By substituting the values in and assuming that the interest is compounded every year, we get:

A = 8,000(1 + 0.0175)^((1)(3))

8,000(1.0175)^3

8,000(1.05342411)

8,427.40.

Identify if the following sequence is arithmetic or geometric.
-5, 0, 5, 10, 15, 20, ...
Arithmetic
Geometric

Answers

Answer:

Arithmetic

Step-by-step explanation:

  Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.

Hope This Helped :)

SOMEBODY HELP ASAP!! 33 POINTS!

Answers

X is greater dan or equal to 14 because x-6 greater than or equal to 8

Who is at the trail start at 9:00 a.m.?

Answers

Answer:

please add a picture or the rest pf the question and i might be able to help thank you :)

Step-by-step explanation:

me obviouslyyyy silly

PLEASE HELP ME!!!!!!!

Answers

Answer:

:))

Step-by-step explanation:

Collect like terms, keeping the integer rules in mind

5. 5a + 9b - 3a + 2b + 4a

   5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)

   6a + 11b

6. 7m + 3n - 8m + 2n + 10m

   7m + 10m - 8m + 3n + 2n

   9m + 5n

10. 10m²n + 5mn + 9m²n - 2mn

     10m²n + 9m²n + 5mn - 2mn

     19m²n + 3mn

Try to do the rest on your own :)

PLEASE HELP 15 points

Answers

Answer:

a

Step-by-step explanation:

PLEASE HELP 15 points

solve for x
-4(-x -1) + 2x + 3 = 43​

Answers

Answer:

x=36

Step-by-step explanation:

-4(-x-1)+2x+3=43

or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)

or, 4x+2x+4+3=43( arranging the like terms)

or, 6x+7=43( adding both numbers)

or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)

or, 6x=36(substracting the numbers)

or, x=36/6(when there is multiply in one side there will be divide)

or, x=6

Hope it is helpful for you

If the endpoints of segment AB are A(-4,5) and B(2,-5),

please help! ​

Answers

Answer:

[tex]d = \sqrt[2]{34}[/tex]

Step-by-step explanation:

We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).

Use the following distance formula:

[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]

Let:

Point B(2 , -5) = (x₁ , y₁)

Point A(-4 , 5) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables.

[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]

Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.

[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]

Simplify:

[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]

[tex]d = \sqrt[2]{34}[/tex] is your answer.

~

What is the surface area, in square inches, of a prism with a length of 12 inches, a width of 9 inches, and a height of 2 inches?

Answers

Answer:

Surface Area would be 200² inches.

Step-by-step explanation:

SA=2(12*9)+2(9*2)+2(12*2)

SA=2(108)+2(18)+2(24)

SA=216+36+48

SA=200² in.

If r = 5 units and h = 7 units, what is the volume of the cylinder shown above? Use 3.14 for .

Answers

Answer:

549.5

Step-by-step explanation:

The formula for the Volume of a right cylinder is V= π r² h. First you are going to substitute the 5 with the r and the 7 with the h. V= (3.14)5²(7). 5²= 25.

3.14 (25)=78.5

78.5 (7)=549.5

Answer is 549.5

PLEASE HELP ME WITH ALL THE QUESTION BE HONEST PLEASE URGENT!

Answers

Answer:

59

Step-by-step explanation:

1. -35

2. +9

3. -23

4. +3

5. +5

6. -7

7. +125

8. -18

Add them all up in a calculator and you get 59

Water flows through a pipe at a rate of 9300 pints per year. Express this rate of flow in milliliters per hour. Round your answer to the nearest whole number

Answers

Answer:

Water flows through a pipe at a rate of about 502 milliliters per hour.

Step-by-step explanation:

1 Pint is equal to 473.176 Milliliter

There are 8,760 Hous in a Year

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

9,300 Pints is about 4,400,541 Milliliters

4,400,541 divided by 8,760 is 502.344863014

Thats about 502 Milliliters

:)

The perimeter of a rectangle is 16cm. If the length is doubled, the perimeter is 26. What are the length and width of the rectangle? Please explain all steps required, thanks ahead of time!

Answers

Answer:

Length is 5, width is 3.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where P is the perimeter, l is the length, and w is the width.

With the original length and width, the perimeter is 16, thus:

[tex]16=2l+2w[/tex]

Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:

[tex]26=4l+2w[/tex]

Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:

[tex]16=2l+2w\\-16=-2l-2w[/tex]

Now, add the equations:

[tex]-16=-2l-2w\\26=4l+2w[/tex]

-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:

[tex]10=2l[/tex]

Divide both sides by 2:

[tex]l=5[/tex]

So, the original length was 5.

To find the original width, substitute 5 back into the first equation:

[tex]16=2(5)+2w[/tex]

Multiply:

[tex]16=10+2w[/tex]

Subtract 10 from both sides:

[tex]2w=6[/tex]

Divide both sides by 2:

[tex]w=3[/tex]

So, the original width was 3.

And we're done!

Checking:

Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.

After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!

Answer:

Let's assume that length be L and width be B.

Perimeter of rectangle is given by,

Perimeter = 2( L + B)

So,

⇒ 16 cm = 2 ( L + B )

⇒ 8cm = L + B _______( Say equation 1)

Now, we are given that when length is doubled perimeter is 26.

So,

⇒ 26 cm = 2 ( 2 L + B )

⇒ 13 cm = 2 L + B

⇒ 13 cm = L + L + B

Now use equation-1

⇒13 cm = L + 8cm

⇒13 cm - 8 cm = L

⇒5 cm = L

Therefore length is 5cm.

Now substitute this value in equation 1

⇒L + B = 8 cm

⇒5cm + B = 8 cm

⇒B = 8 cm - 5 cm

⇒B = 3 cm

Therefore breadth is 3 cm.

Write 5.48 repeating as a mixed number in simplest form

Answers

Answer:5 12/25

Step-by-step explanation:

48-24-12

over

100-50-25

the answer is 12/25

1/7x + 3= 15 what is x?

Answers

Answer:

x=84

Step-by-step explanation:

1/7x +3=15

1/7x=15-3

1/7x=12

divide by 1/7

X=84

GEOMETRY HELP PLEASE, ITS URGENT

Answers

You have to measure the lines with a ruler.

Simply a3 • a4
And (2a) (5ab)

Answers

Answer:

a^3 (a^4) = a^7

(2a)(5ab) = 10a^2b

Step-by-step explanation:

What is the distance between (9,-4) and (-22, 8)?

Answers

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]

   = [tex]\sqrt{(-31)^2+12^2}[/tex]

   = [tex]\sqrt{961+144}[/tex]

    = [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )

dilations help me please

Answers

Answer:

D'(1, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of D by [tex]\frac{1}{2}[/tex] , that is

D(2, - 2 ) → D'([tex]\frac{1}{2}[/tex] (2) , [tex]\frac{1}{2}[/tex] (- 2) ) → D'(1, - 1 )

how do you write 0.00000072 in scientific notation​

Answers

Answer:0.00007=7×10−5

Step-by-step explanation:

A vendor sells fifteen sweatshirts for $15 each, thirty t-shirts for $10 each, and forty hats for $8 each. What is the average price of an item sold that day?

Answers

I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.

matthew opened a checking account with 150. On monday, he bought lunch for 9.30 and wrote a check for 25.75. He deposited 75 on wednesday, and 65.18 was deducted for his car insurance on thursday. How mch money was remaining in his account

Answers

Answer:

124.77

Step-by-step explanation:

Matthew opened a checking account with 150

On Monday he bought lunch for 9.30 and wrote a check for 25.75

He deposited 75 on Wednesday

On thursday 65.18 was deducted from the account for his car insurance

The total expenses incurred on Monday can be calculated as follows

=9.30+25.75

= 35.05

This means that 35.05 will be debited from his account

On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account

On thursday, 65.18 was removed from his account for car insurance

Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows

= 150-35.05+75-65.18

= 124.77

Hence the money remaining in Matthew's account is 124.77

Answer:

The answer is 124.77

Step-by-step explanation

Each day for a week, Paul swims 20 laps of a 50 metre pool. One lap is from one end of the pool to the other. He wants to know if he keeps this up, how many laps he will have completed after 5 weeks and how far he would have swum in that time. (a) How many laps does Paul swim in one week?

Answers

Answer:

140 laps and 7,000 idk on this tho

Step-by-step explanation:


Please help I have a test tomorrow

Answers

Answer:

The answer is 24

Step-by-step explanation:

Simplify 12A + 2 + A - 1.

Answers

Answer:

13a+1

Step-by-step explanation:

Answer:

13A + 1  Hope this helped:)

Given: g(z)=5z+2.1

1. What is the value of g(z) if z= -4?

2. What is the value of g(z) if z= -7?

3. What is g(-8)?

Answers

Answer/Step-by-step explanation:

Given the function, [tex] g(z) = 5z + 2.1 [/tex], the table can be completed by substituting the given value of z as follows:

Question 2: z = -7

[tex] g(-7) = 5(-7) + 2.1 [/tex]

[tex] g(-7) = -35 + 2.1 [/tex]

[tex] g(-7) = 32.9 [/tex]

Question 3: z = -8

[tex] g(-7) = 5(-8) + 2.1 [/tex]

[tex] g(-7) = -40 + 2.1 [/tex]

[tex] g(-7) = 37.9 [/tex]

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