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stepladder [879]
3 years ago
8

Seventeen members of Tim's family are going to an amusement park during the week of their family reunion. Adult tickets cost $34

each and child tickets cost $31.50 each. If the total cost for admission to the part is $558, how many adults went to the park? a 7 b 8 c 9 d 10
Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

c.

Step-by-step explanation:

Let x be the number of adults in Tim's family. Then (17 - x) is the number of children in Tim's family.

We have $34x + $31.5(17 - x) = $558.

$34x + $31.5(17 - x) = $558

$34x + $535.5 - $31.5x = $558

$2.5x = $22.5

x = 9

Hence the answer is c.

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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

\frac{AD}{BD}=\frac{BD}{DC}

Where BD is the altitude.

Cross multiply:

BD^2=AD*DC

Plug in the values and solve for x:

\begin{gathered} (x+3)^2=3*27 \\  \\ (x+3)^2=81 \end{gathered}

Take the square root of both sides:

\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\  \\ x+3=9 \\  \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\  \\ x=6 \end{gathered}

Therefore, the value of x is 6 .

ANSWER:

d. 6

4 0
1 year ago
ASAP!!!!!!!!!!!!!!!!
Vladimir [108]
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4 0
3 years ago
If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,
jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

Q_d = 48 - 9P

Q_s = 12 + 6P

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

Q_d = Q_s

This gives:

48 -9P = 12 + 6P

Collect Like Terms

-9P - 6P = 12 - 48

-15P = -36

Solve for P

P = \frac{-36}{-15}

P =2.4

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

Q_d = 48 - 9P

Q_d = 48 - 9 * 2.4

Q_d = 26.4

<em>Hence, the equilibrium quantity is 26.4</em>

7 0
3 years ago
28 divided by 5 what is the quotient and the remainder?
Inessa [10]

Answer:

Quotient is 5

Remainder is 6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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