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zmey [24]
3 years ago
6

Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After

2 hours, they are 232 miles apart. What is the speed of each car?
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
<span>Find the speed of each car.
Let a be the first car
Let b be the second car
=> a = x miles per hour
=> b = x + 12 miles per hour
=> 2 (x+ x + 12) = 232 miles per hour
=> 2x + 12 = 232
=> 2x + 12 = 116
=> 2x = 116 - 12
=> 2x / 2 = 104 / 2
=> x = 52 (speed of Car A)
=> 52 + 12 = 64 miles per hour (speed of Car B)</span>



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At the movie theatre, child admission is $5.10 and adult admission is $9.70. On Thursday, 128 tickets were sold for a total sale
kvv77 [185]

Answer:

53

Step-by-step explanation:

Let x be the number of children tickets sold and y be the number of adult tickets sold. Then

x+y=128.

The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so

5.10x+9.70y =896.60.

From the first equation,

x=128-y,

then

5.10(128-y)+9.70y=896.60,\\ \\652.80-5.10y+9.70y=896.60,\\ \\4.60y=243.8,\\ \\y=53.

53 adult tickets were sold.

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3 years ago
Graph the given equation: y=2x+1
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Ok I added the Pics to make it easy
Vitek1552 [10]

Answer:

Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh

Step-by-step explanation:

<u>Part 2: </u><u>Table Chart: </u>

Number of t-shirts: 2

Patty's cost: 43$

Sandra's cost: : 99$

Number of t-shirts: 4

Patty's cost: 86$

Sandra's cost: : 135$

Number of t-shirts: 6

Patty's cost: 129$

Sandra's cost: : 171$

Number of t-shirts: 8

Patty's cost: 172$

Sandra's cost: : 207$

Number of t-shirts: 10

Patty's cost: 215$

Sandra's cost: : 243$

Number of t-shirts: 12

Patty's cost: 258$

Sandra's cost: : 279$

Number of t-shirts: 14

Patty's cost: 301$

Sandra's cost: : 315$

Number of t-shirts: 16

Patty's cost: 344$

Sandra's cost: : 351$

Number of t-shirts: 18

Patty's cost: 387$

Sandra's cost: : 387$

<u>Part 3: Patty's Printing</u>

Linear equation = equation of a line= y=mx+b

y=21.5x

<u>Part 4: Sandra's Shirts:</u>

Linear equation = equation of a line= y=mx+b

y= 18x+63

<u>Part 5: Note to Jackie</u>

Dear Jackie, I recommend Sandra's shirts.

Write equations:

Sandra's Shirts = 18x+63

Patty's Printing = 21.5x

Sandra's Shirts: 495=18x+63 = 24 shirts

Patty's Printing: 495=21.5x = 23 shirts

<u>Part 6: Refute Jackie</u>

Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.

You should probably add to this, but I can't think of anything else.

<u>Part 7: Equality</u>

At 18 shirts (see table), the shirt cost is equal.

You should probably add to this, but I can't think of anything else.

18x+63=21.5x

Words of encouragement:

Good luck!

<u />

8 0
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Alenkinab [10]

Answer:

I = (70) x (0.03) x (12)

Step-by-step explanation:

The general formula of simple interest formula is:  I = PRT where I = simple interest, P = principal amount, R = interest rate, T = time (in years).  Given that the initial investment is $70, the interest rate is 3% (or 0.03 as a decimal) and the time is 12 years, you can form the following:  

I = (70) x (0.03) x (12)

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Find the volume of the cone. Use 3.14 for pi.
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Answer:

V≈157.08

Step-by-step explanation:

I hope this helps

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3 years ago
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