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AleksandrR [38]
3 years ago
14

Please help me with this question

Mathematics
2 answers:
Lorico [155]3 years ago
8 0
This is what I got I hope it helps

tamaranim1 [39]3 years ago
7 0

Step-by-step explanation:

We need to simply like terms. Let's break this out into four different problems that are easy to solve, then we can put it all back together for the final answer.

There are four like terms in both the numerator (top) and denominator (bottom) of the fraction. Numbers, m, p, and v. We will look at each of these seperately.

What is 45/15? Easy right, just 3.

Let's move on to the harder parts.

\frac{m^{-6}}{m^{-2}}

Remember that negavite exponents mean to divide.

For example, 2^{-2} = \frac{1}{2^2} = 1/4

So we just need to apply this rule to both of these exponents to get,

\frac{m^2}{m^6}

Now remember that when dividing by exponents, the exponents subtract from each other\frac{x^y}{x^z} = x^{y-z}

So we get, m^{2-6} = m^{-4} = \frac{1}{m^4}

So far we have

\frac{3}{m^4}

Keep applying the same rules for the other two terms. Reply back if you need more help and I can keep working through with you.

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A car run 3/4 mile per minute another car can run 4/5 mile per minute.what is the difference in speed in miles per hour?
dybincka [34]

Answer:

3 miles per hour

Step-by-step explanation:

We need to subtract the two numbers to find the difference in speeds

4/5 - 3/4

We need to get a common denominator of 20

4/5 *4/4 - 3/4 *5/5

16/20 - 15/20

1/20  

The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.

The question asks for miles per hour, not miles per minute.  We know  that there are 60 minutes per hour.

1/20 miles per minute * 60 minutes / hour

60/20 miles/hour

3 miles/ hour

The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.

3 0
3 years ago
a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?
viktelen [127]

Answer:

<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>

Step-by-step explanation:

<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>

Area = \frac{a*b}{2}

<u><em>Area = (a*b) / 2</em></u>

<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>

<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>

<u><em>a is 20 cenimeters</em></u>

<u><em>b is 10 centimeters</em></u>

<u><em>Therefore :</em></u>

Area = \frac{200}{2}

Area = 100

<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>

4 0
2 years ago
You have $30 to spend on gas for your vehicle this week. If gas costs $2.42 per gallon, how many gallons of gas can you buy? Rou
BartSMP [9]

Answer:

you can get 12 gallons on gas

Step-by-step explanation:

x/30=1/2.42

step 1) cross multiply

x * 2.42 = 1 * 30

2.42x=30

step 2) divide both sides by 2.42

2.42x/2.42 = 30/2.42

= 12.396694

round to the nearest gallon

≈12 gallons

5 0
3 years ago
2 1/2 * 1 1/6=???<br>I need help can someone explain this for me?
Dovator [93]

Answer:

35/12

Step-by-step explanation:

2 1/2 is 5/2

1 1/6 is 7/6

Multiply these together to get (5*7)/(2*6) or 35/12.

5 0
3 years ago
Read 2 more answers
Please help!!!
Alex Ar [27]

Answer:

Check bolded below

Step-by-step explanation:

1)radius = 10 in (given), diameter = 2*radius = 2(10 in) = 20 in

formula for circumference => 2πr => 2π(10)

circumference = 20π in

2)diameter = 12 ft (given), radius = 1/2*diameter = 1/2(12 ft) = 6 ft

formula for circumference => 2πr => 2π(6)

circumference = 12π ft

3)radius = 3 m (given), diameter = 2*radius = 2(3 m) = 6 m

formula for circumference => 2πr => 2π(3)

circumference = 6π m

4)diameter = 18 cm (given), radius = 1/2*diameter = 1/2(18 cm) = 9 cm

formula for circumference => 2πr => 2π(9)

circumference = 18π cm

6 0
3 years ago
Read 2 more answers
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