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SashulF [63]
2 years ago
15

At a theme park, the admission price for children is $7 and the admission price for adults is $21. The total amount the theme pa

rk collects in admissions for the day is $5439. The total number of visitors is 305. let c be the number of children and let y be the number of adults. which system represent the situation
21x+7y=5439
x+y=305

7x+21y=5439
x+y=305

x+y=5439
21x+7y=305

x+y=5439
7x+21y=305
Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

Answer:

7x+21y=5439

x+y=305

Step-by-step explanation:

it's pretty self explanatory, right?

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Factor Trinomials:
notka56 [123]

Answer:

1. 2(x+2)(x+5)

2. 8(x+4)^{2}

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

GCF = 2

2. Factor out the GCF and simplify.

2(x^{2} +7x+10)

3. Factor x^{2} +7x+10

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

(x+2)(x+5)

4. Done!

2(x+2)(x+5)

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

GCF=8

2. Factor out the GCF and simplify.

8(x^{2} +8x+16)

3. Use the perfect square formula. a^{2} +2ab+b^{2} =(a+b)^{2}

a = x\\b=4

(x+4)^{2}

4. Done!

8(x+4)^{2}

8 0
2 years ago
Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%
Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is = P(1+ \frac{R}{100})^t

                                          = 2665 (1+ \frac{24.36}{100})^1.5

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

P = \frac{r(Pv)}{1 - (1+ r)^{-n}}

p = monthly payment

Pv = present value = 3695.88

r =rate per period = \frac{24.36}{12} = 0.020

n = number of period = 12\times 3 = 36

plugging all value in the above formula

P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}

P = $ 144.99

5 0
2 years ago
Need help on problem 10
Shkiper50 [21]
The Perimeter of Triangle ABC would be 60.
You can solve this by setting up proportions.

3 0
3 years ago
Divide x to the 1 half power divided by x to the 2 sevenths power.
juin [17]

\frac{x^\frac{1}{2} }{x^\frac{2}{7}}

According to the rule of exponents \frac{a^m}{a^n} = a^{(m-n)} , i.e. when two terms are in division with same base , we subtract the exponents

So

\frac{x^\frac{1}{2} }{x^\frac{2}{7}} = x^{(\frac{1}{2}) - (\frac{2}{7})}

=x^\frac{3}{14}

Or

x to the 3 fourteenths power

5 0
3 years ago
Combine terms: 12a + 26b -4b – 16a.
anzhelika [568]

Answer:

-4a +22b

Step-by-step explanation:

add the ones with same variable

5 0
3 years ago
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