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RideAnS [48]
3 years ago
8

Two friends, Hailey and Jenna bought two tickets to see a play at a local theater . Each ticket cost $17.25. Each friend donated

$1 to the theater's youth program. The friends paid a total of $40.50 which it also includes convenience . How much did each friend paid for the convenience fee?
Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0
If you let the convenience fee equal x, then...

(2×17.25)+(2×1)+(2×x)= 40.50

There are 2 girls so we multiply all the charges by 2. Add them together and you'll get 40.50. Now if we solve for x, we will get the amount of the convenience fee.

2×17.25 + 2×1 + 2x = 40.50
34.50 + 2 + 2x = 40.50
36.50 + 2x = 40.50
2x = 40.50 - 36.50
2x = 4
x = 2

Each girl paid a 2 dollar convenience fee.
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Last Saturday jay spent 6 hours playing games,studying, and talking with friends. He spent 2/5 of the time playing and 1/2 of th
LenaWriter [7]
Jay spent 3/7 hours talking with his friends
7 0
3 years ago
Answer...........................
Usimov [2.4K]

Answer:

9.9 years

Step-by-step explanation:

A = P e ^(rt)

Where A is the amount in the account

P is the amount invested

R is the interest rate

t is the time

P = 8500

r =7% = .07

A = 17000

Substituting into the equation

17000=8500 e^(.07t)

Divide each side by 8500

17000/8500=8500/8500 e^(.07t)

2 = e^(.07t)

Take the natural log of each side

ln (2) = ln e^(.07t)

ln(2) = .07t

Divide each side by .07

ln(2)/.07 = .07t/.07

ln(2)/.07 = t

9.902102579=t

Rounding to one decimal place

9.9 years

4 0
3 years ago
Read 2 more answers
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
Does x=3 make the equation 5x-3=12 true or false?
Kamila [148]
It would be false :)!
3 0
3 years ago
Read 2 more answers
Answer the question math
Lerok [7]

Answer:

7y-10

Step-by-step explanation:

9y-\frac{1}{2}\left(4y+20\right)

To simplify this expression, first use the distributive property to distribute \frac{1}{2}.

9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)

Simplify.

9y+-2y+-10

Combine like terms, 9y and -2y.

7y-10

The simplification of 9y-\frac{1}{2}(4y+20) is 7y-10.

I hope this helps ^^

Good luck

7 0
3 years ago
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