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3 years ago

Simplify the expression.

Mathematics

1 answer:

Nana76 [90]3 years ago

6 0

The answer is the A. I hope this helps!

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The number of lines of reflection about which the combined figure can reflect onto itself is ____

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3 years ago

Tia and her 5 friends are going to the ice skating ring. Each person pays $5 for admission and $5 for food. Write a numerical ex

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3 years ago

Read 2 more answers

Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball

dem82 [27]

Answer: Aproximately 2,525 balloons

Step-by-step explanation:

1. Find the volume of a balloon with the formula given in the problem, where $r$ is the radius ( $r=\frac{0.3m}{2}=0.15m$ ), then:

$V=4(0.15m)^{3}=0.0135m^{3}$

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

$V=0.0135m^{3}*1000=13.5L$

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

$(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs$

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

$\frac{75lb*1L}{0.0022lb}=34,090.90L$

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call $n$ ), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

$n=\frac{34,090.90L}{13.5L}$

$n=2,525.25$ ≈2,525 balloons.

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3 years ago

Mr.rodrigues invests half his money in land, a tenth in stocks and a twentieth in bonds . He puts the remaining 35,000 in his sa

Natali5045456 [20]

Let's say <span>Mr.rodrigues's total amount of money is x. 1/2 of his money is in land, 1/10 of his money is in stocks, and 1/20 of his money is in bonds. The remaining is in his savings. Therefore, 1-1/2-1/20-/10 = fraction of money in savings account = 35/100 = 7/20. If 7/20 of his money =35000, then we can say that (7/20)x=35000, and 35000*20=7x, then getting (35000*20/7)=x, which equals (5000*20)=100,000 dollars.</span>

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3 years ago