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pickupchik [31]
3 years ago
5

Robert wants to have his birthday party at a bowling alley with a few friends, but he can spend no more than $80. The bowling al

ley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling.
A. Write an inequality that represents the total cost of Roberts' birthday party given his budget.

B. How many people can Robert pay for (including himself) while staying within the limitations of his budget?
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0
The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.

This is the form of the inequality:

(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
  $45  + $5.50 x                                            [less than or equal to] $80

Simplify.  To do this, subtract $45 from both sides of this inequality.

Divide both sides of the resulting inequality by $5.50.

What is the restriction on x?
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Answer:

1) 4 bottles

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3) $5.25

Step-by-step explanation:

1)9/3 = 3 so you must divide 12 by 3

12/3=<u>4 bottles</u>

2)12/1=12

divide 9 by 12

9/12 =<u>$0.75</u>

3)12/7 =\frac{12}{7} (The actually number is too long to write so just leave it in fraction form)

9÷12/7=<u>$5.25</u>

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2 years ago
When you shift a function, you are _______ it
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3 years ago
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What set of angles can form a line
Kamila [148]

Answer:

Did u mean triangle? There are no angles on a line.

Or do you mean two angles of 90 degrees?

Step-by-step explanation:

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2 years ago
HELP PLEASEEE
jeka94

The exact circumference of the circle is 7 \frac{49}{150} k m

The approximate circumference of the circle is 7.33 k m

Explanation:

The diameter of the circle is 2 \frac{1}{3} \mathrm{km}

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

C=\pi d

Where C is the circumference , \pi is 3.14 and d=2 \frac{1}{3} \mathrm is the diameter of the circle.

The exact circumference of the circle is given by

\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}

Multiply both numerator and denominator by 100, we get,

C=\frac{2198}{300} \\C=\frac{1099}{150}

Converting \frac{1099}{150} into mixed fraction, we get,

C=7 \frac{49}{150}

Thus, the exact circumference of the circle is 7 \frac{49}{150} k m

The approximate value of the circumference can be determined by dividing the value \frac{1099}{150}

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3 years ago
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const2013 [10]

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

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C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

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2 years ago
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