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Sholpan [36]
3 years ago
11

there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are  400 yellows balloons.
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Circle any equivalent ratios from the list below.
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Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second,  then third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2  and Ratio: 5: 10  

We apply the method of comparing the first term of both ratios ,  and the second term of both ratios.  We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

<u>So,  we can that the first ratio is equivalent to the second,  then, third ratio is equivalent to the forth.  </u>

Value of the Ratio:  The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  5/10 if we divide both sides by 5,  we can say  Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  6/16 if we divide both sides by 2,  we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4,  we can say the value is 3/ 8

<u>If the values are equivalent the ratios are equivalent.</u>

7 0
3 years ago
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How to simplify this expression??
sdas [7]

Answer :

1

Step-by-step-explanation :

{x}^{2}  + 4x + 5 -  {(x + 2)}^{2}  \\  {x}^{2}  + 4x + 5 - ( {x}^{2}  + 4x + 4)   \\

{x}^{2}  + 4x + 5 -  {x}^{2}  - 4x - 4 =  {x}^{2}  -  {x}^{2}  + 4x - 4x + 5 - 4 = 5 - 4 = 1

8 0
3 years ago
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8 0
2 years ago
The storage space of a moving truck is in the shape of a rectangular prism. The dimensions are 6 feet wide, 10 feet long, and 6
Karolina [17]
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3 years ago
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A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c
tensa zangetsu [6.8K]
Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.

The standard error is 
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The margin of error is
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Because the margin of error is given, there is no need to calculate it.
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Answer: 
The 95% confidence interval is between 6.1% and 9.1%.

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