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sdas [7]
3 years ago
11

An amusement park charges $25 per adult ticket and $15 per child ticket. A group of 10 people paid $180 to enter the park. How m

any adults were in the group? How many children were in the group? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.
Let ​ =
# of adults


​Let =
# of children


​Cost:




​# of people:




​

​Solve, then complete the following sentence.

In the group, there were

3
adults and

7
children that went to the amusement park​​.​
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

Step-by-step explanation:

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Which expression is equivalent to (4 x cubed) (2 x) Superscript negative 4? StartFraction 1 Over 4 x EndFraction StartFraction 4
evablogger [386]

Option c: \frac{1}{4 x}

Step-by-step explanation:

The expression is (4x^{3})(2x)^{-4}

Applying the exponent rule, we have,

\frac{4x^{3} }{(2x)^{4} }

Multiplying the denominator,

\frac{4x^{3} }{2^{4} x^{4} }

Rewriting this expression,

\frac{4x^{3} }{16 x^{4} }

Cancelling the common terms, we have,

\frac{1 }{4x }

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6 0
3 years ago
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What is 2 5/8 estimated to the nearest whole number
mamaluj [8]

Answer:

the answer to your question is 3

Step-by-step explanation:

2 and 5/8 is 2.625 rounding gives you 3

6 0
4 years ago
What is the best approximation of the length of segment QS? (Note: cos 80° = 0.17)
LuckyWell [14K]

Answer:

Length of the segment QS = 11.76 cm

Step-by-step explanation:

We are given with right angle triangle QRS

Angle S is 80 degree and RS = 2 cm

We need to find out QS

RS is adjacent to angle S, so we use cos formula

Cos (A) = \frac{adjacent}{hypotenuse}

Cos (S) = \frac{RS}{QS}

Plug in the angle and RS

Cos (80) = \frac{2}{QS}

Given cos(80) = 0.17

0.17= \frac{2}{QS}

Multiply by QS on both sides

0.17 * QS = 2

Divide by 0.17 on both sides

QS= 11.76470588

Length of the segment QS = 11.76 cm

6 0
3 years ago
(x)=6x+2 g(x)=−5x−9 Find the product of f and g. Select one: a. −30x2+64x−18 b. −30x2−18 c. −30x2−44x−18 d. −30x2−64x−18
Hunter-Best [27]

Answer:

D) -30x^2 -64x -18

Step-by-step explanation:

Given:

f(x) = 6x +2 and g(x) = -5x - 9

f(x).g(x) = (6x + 2) (-5x - 9)

Use distributive property

= 6x(-5x -9) + 2(-5x - 9)

= -30x^2 - 54x - 10x -18

= -30x^2 -64x - 18

Answer: d) -30x^2 -64x -18

Thank you.

7 0
3 years ago
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