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3 years ago

Gail is throwing a party. The caterer charges $10 per guest for

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Answer:

27 guests

Step-by-step explanation:

$10 per guest for food and $5 per guest for drink.

Additional $145

Total: $550

Equation: Let x represent the amt of guests.

10x+5x+145=550

15x+145=550

15x=405

x=27

Therefore, Gail can feed 27 guests.

I hope this helped and have a good rest of your day!

lisov135 [29]3 years ago

3 0

Answer:

If Gail can spend $550 on the cater (food), then she can feed 27 guests.

Step-by-step explanation:

1. Let's set up an equation to represent this problem.

15x + 145 = 550

2. Subtract 145 from 550

15x = 405

3. Divide 15 from 405

x = 27

4. Since we now know that x is equal to 27, then we also know that Gail can feed up to 27 guests.

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2 years ago

Linda throws a dart that hits the square shown below: A square is drawn. A circle of radius 9 units touches the sides of the squ

nataly862011 [7]

Probability helps us to know the chances of an event occurring. The probability of Linda's dart hitting the circle is 0.7857.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As it is given that the circle touches the sides of the square. therefore, the length of the side of the square is the diameter of the circle.

Now, in order to calculate the probability that the dart hits a point in the circle we need to calculate the area of the circle and the area of the square.

Area of the circle with a given radius of 9 units,

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$\rm = \pi \times (9^2)\\\\= 81\pi\ units^2$

Area of the square with sides equal to the diameter of the circle,

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Now, the probability that the dart hits a point in the circle can be written as,

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Area of the circle}}{\text{Area of square}}\\\\\\Probability=\dfrac{81 \pi}{324} = 0.7857$

Hence, the probability of Linda's dart hitting the circle is 0.7857.

Learn more about Probability:

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2 years ago

What is true about the following expression 5•1/4

umka21 [38]

Hi.

I'm not 100% familiar with rational and irrational numbers, but I did a quick search.

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Cheers~

3 0

3 years ago

Read 2 more answers

Find the value of x and the value of y.

fomenos

Answer:

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

7 0

3 years ago