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tamaranim1 [39]
3 years ago
10

Could someone help me please?

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

a. 7.2

b. 6

Step-by-step explanation:

Since the side lengths of similar polygons are proportional to each other, therefore:

\frac{b}{10} = \frac{9}{15} = \frac{a}{12}

Thus, let's find b using:

\frac{b}{10} = \frac{9}{15}

Cross multiply

b*15 = 10*9

15b = 90

Divide both sides by 15

b = 6

Let's find a using:

\frac{9}{15} = \frac{a}{12}

Cross multiply

9*12 = 15*a

108 = 15a

Divide both sides by 15

a = 7.2

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4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets
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Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

4 0
3 years ago
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