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Mashutka [201]
2 years ago
12

Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many

balloons are there total?
Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

Total number of balloons= 160

Step-by-step explanation:

Giving the following information:

Number of balloons inflated by Zoey= 24

Proportion of balloons inflated= 15%

<u>To calculate the total number of balloons, we need to use the following formula:</u>

Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated

Total number of balloons= 24 / 0.15

Total number of balloons= 160

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What is the length of s?​
vovangra [49]

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

  • 0.70710678118 = \frac{12}{s}, and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

  • \frac{0.70710678118}{1} =\frac{12}{s}

Cross multiply.

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Divide both sides by sine(45 degrees).

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The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

  • (12)^2 + (12)^2 = c^2

Evaluate the exponents.

  • 144 + 144 = c^2

Add them together.

  • 288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

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3 years ago
Please help answer by putting <br> "question ___ is option ___"
Juliette [100K]

Answer:

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Step-by-step explanation:

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2 years ago
Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original pric
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Answer:

3/4 times 18= 13.5

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It cost 13.5 for the blouse as opposed to the original price of 18 dollars.

18(skirt)+13.5(blouse)=31.5

If you set up a proportion to find the original price of the skirt you will get the answer.  

18/x=75/100

75x=18 times 100

75x=1800

75x/75=1800/75

x=24  

The original price of the skirt is 24 dollars.

Step-by-step explanation:

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3 years ago
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The answer for this is X+2g= 0
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