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Lena [83]
3 years ago
9

Help me ASAP please

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer:

\large\boxed{7^{-8}}

Step-by-step explanation:

7^{-1}\cdot7^{-7}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=7^{-1+(-7)}=7^{-8}

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Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to
Alinara [238K]

Answer:

It'll take 25 hours to get to the auto shop

Step-by-step explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

Speed = \frac{Distance}{Time}

Substitute values for Speed and Distance

\frac{1056 ft}{hr} = \frac{5 miles}{Time}

1 mile = 5280 feet;

So:

\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}

\frac{1056 ft}{hr} = \frac{26400ft}{Time}

Cross Multiply

Time * 1056ft = 26400ft * hr

Divide both sides by 1056ft

Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}

Time = \frac{26400ft * hr}{1056ft}

Time = 25hr

<em>Hence, it'll take 25 hours to get to the auto shop</em>

3 0
4 years ago
If 12^2+5x-4=12^2x+6
kow [346]
If\ 12^{2+5x-4}=12^{2x+6}\ then\ 2+5x-4=2x+6\\\\5x-2=2x+6\ \ \ |+2\\\\5x=2x+8\ \ \ \ |-2x\\\\3x=8\ \ \ \ |:3\\\\x=\dfrac{8}{3}
3 0
3 years ago
PLEASE HELP!! I WILL GIVE BRAINLIEST
sattari [20]

Answer: (a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5  

(b) The unit rate is 3.5 cm/s since the rate is constant.

(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Almost done. I need help with this part
valentina_108 [34]

Answer:

\%Percent = 14.3\%

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

\%Percent = \frac{15}{105} * 100\%

\%Percent = \frac{15*100}{105}\%

\%Percent = \frac{1500}{105}\%

\%Percent = 14.3\% --- approximated

8 0
3 years ago
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.2 × 105
Oliga [24]

The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2  hours.

<h3>How many hours would it take to type 3.2 x 10^5 words?</h3>

Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: 1 x 10² is equivalent to 100

The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³

The second step is to divide 3.2 x 10^5 words by 2.4 x 10³

3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)

1.33 x 10^2  hours

To learn more about standard form, please check: brainly.com/question/25334755

#SPJ1

3 0
2 years ago
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