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Artyom0805 [142]
3 years ago
7

A concert is being held in your hometown. 1500 tickets are sold. Adult tickets are $10.50 and child's tickets are $7.50. If a to

tal of $13950 worth of tickets were sold, determine how many adult tickets and how many child tickets were sold. 1st equation: 2nd equation: Solution: x = and y =
Mathematics
1 answer:
velikii [3]3 years ago
5 0

Answer:

x+y=1500

10.50x+7.50y=13950

multiply the first one by -7.5 to eliminate y

-7.5x-7.5y=-11250

3x=2700

x=900 adults for $9450

y=600 children for $450

Step-by-step explanation:

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Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

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⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

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The correct statement is AngleL = 25° AngleL' = 25°.

We have given that,

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We have to choose the correct option.

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The following information should be considered:

In a rigid transformation, the image & pre-image are congruent.

Reflection, translation, and rotation are rigid transformations.

In a non-rigid transformation, the image and pre-image are similar.

Dilation is a non rigid transformation.

In a rigid or nonrigid transformation, the corresponding angles are the same.

If the corresponding sides are the same, then it is a rigid transformation.

If the corresponding sides are proportional, then it is a nonrigid transformation.

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