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dybincka [34]
3 years ago
13

Can someone help me with number 21. Please show steps

Mathematics
2 answers:
Finger [1]3 years ago
7 0

Answer:

39

Step-by-step explanation:

You need to solve the exponents first

3[64÷(25 -9)+9]

Then you can do the parenthesis

3[64÷ 16 +9]

Then divide 64 by 16 which equals 4

3[4+9]

Then you do the brackets

3 x 13

Which equals 39

aalyn [17]3 years ago
6 0

Answer:

39

Step-by-step explanation:

Use PEMDAS.

Starting equation:

3[8^{2}/(5^{2}-3^{2} )+9]

Start with evaluating the Exponents inside the innermost Parentheses:

3[8^{2} /(25-9)+9]

Evaluate the Subtraction inside the innermost Parentheses:

3[8^{2} /(16)+9]

Now that we have solved the first set of Parentheses, we need to solve the second, starting with the Exponents:

3[64/16+9]

Next, we need to evaluate the Division inside the Parentheses:

3[4+9]

After that, evaluate the Addition inside the Parentheses:

3[13]

Finally, evaluate the Multiplication:

3[13]=39

The answer is 39.

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

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31h + 26(10 - h) = 285

Open bracket

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Collect like terms

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5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

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