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3 years ago

5

A bowling alley charges each person $6 to play a game and $4.50 to rent a pair of bowling shoes. Write an expression to show how

much the bowling alley will charge f friends if they each play 3 games and all but one of them rents shoes.

1 answer:

loris [4]3 years ago

3 0

Write an expression to show how much the bowling alley

cost = f($6 x 3) + (f - 1) x $4.50

c=9f+4.5*(f-1)

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Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is <em>x</em>.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

<em>For the triangle ABD</em>:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

<em>For the triangle ACD:</em>

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

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Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

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Step-by-step explanation:

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Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James

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Blake saved $\bold{\$ 433.80}$

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.

Blake already has some money saved.

Let the amount saved by Blake be $\$ n$ .

She earns $\$96$ more by working overtime.

Then, total amount by Blake $=\$(n+96)$

James has $\$ 53$ more than 4 times the amount of money that Blake has saved.

Then, total amount by James will be $\$ 53+4 \times \$ n=\$(4 n+53)$

If they have $\$2,318$ in all, we have to find how much money had Blake originally saved

Now, total amount = $\$2318$

$\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}$

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Step-by-step explanation:

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