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Gwar [14]
3 years ago
11

Mr. frankel bought 7 tickets to a puppet show and spent $24. he bought a combination of child tickets for $2 each and adult tick

ets for $4 each. which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought
Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
Let x be the number of child tickets he bought
Let y be the number of adult tickers he bought

① x+y=7 (child tickets+adult ticket=7 tickets in total)
② 2x+4y=24 (price of child tickets+price of adult tickets=$24 in total)

We may simply the second equation since all of the coefficients are divisible by 2.

① x+y=7
② x+2y=12

We can now use elimination by multiplying the second equation by -1.

② -(x+2y=12)
② -x-2y=-12

① x+y=7
② -x-2y=-12

Now putting the equations together,
-y=-5
y=5
x=2

Therefore he bought 2 child tickets and 5 adult tickets
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Artemon [7]

For this case, we must indicate the fraction that is equivalent to 0.53.

It is observed that the decimal is rolled twice to the left, that tells us to divide by 100.

Thus, dividing the whole number "53" among 100 we have:

\frac {53} {100} = 0.53

Answer:

\frac {53} {100}


6 0
3 years ago
Question 7
Alja [10]

Answer: x=3.2     AC= 42.8

Step-by-step explanation:

As point B lies at segment AC      AC=AB+BC

Otherwise we can write the equation

5x+9x-2=11x+7.6

14x-2=11x+7.6

14x-2+2=11x+7.6+2

14x=11x+9.6

14x-11x=11x-11x+9.6

3x=9.6

x=9.6:3

x=3.2

AC= 11*x+7.6= 11*3.2+7.6=35.2+7.6=42.8

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3 years ago
HELP AGIAN PLEASEEEEEEEEEEEEEE
marusya05 [52]

Step-by-step explanation:

y=mx+b

6 -8

9 -7

- 8 = 6m + b \\  - 7 = 9m + b \\   - 7 + 8 = 9m - 6m \\  3m= 1 \\ m =  \frac{1}{3}  \\

- 8 = 6 \frac{1}{ 3}  + b \\  b =  - 8 - 2 \\ b =  - 10 \\ y = 0.333x - 10 \\ y =  \frac{x}{ 3 }  - 10

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