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REY [17]
3 years ago
8

What isn -5(3m + 6) = -3(4m - 2)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0
-5(3m + 6) = -3(4m - 2)

-15m - 30 = -12m + 6

-30 = -12m + 6 + 15m

-30 = 3m + 6

-30 - 6 = 3m

-36 = 3m

-36/3 = m

-12 = m

hope this helps, God bless!
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In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the a
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Answer:

923.1927 millibars

Step-by-step explanation:

The wind velocity is given by the function:

v(p)=5.7\sqrt{(998-p}

#We make p the subject of the formula:

v(p)=5.7\sqrt{(998-p}\\\\v=5.7\sqrt{(998-p}\\\\\frac{v}{5.7}=\sqrt{(998-p}\\\\\frac{v^2}{5.7^2}=998-p\\\\p=998-\frac{v^2}{5.7^2}

#Substitute the given values in the function above to solve for p;

p=998-\frac{v^2}{5.7^2}\\\\=998-\frac{49.3^2}{5.7^2}\\\\=923.1927\ millibars

Hence, the air pressure is 923.1927 millibars.

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3 years ago
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If $5000 is deposited at the beginning of every six months into an account that earns 8% compounded semiannually find the amount
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Step-by-step explanation:

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A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

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