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lyudmila [28]
2 years ago
6

Devon started a bike race at 11:30 a.m and finished at 3:17p.m how long did it take him to finish the race

Mathematics
2 answers:
ICE Princess25 [194]2 years ago
8 0

Answer:

3 hours 47 minutes

Step-by-step explanation:

Convert to minutes:

  1 hour = 60 minutes

 

  11:30 AM to 2:30 PM = 180 minutes = 3 hours

  2:30 PM to 3:17 PM = 47 minutes

3 hours and 47 minutes

Digiron [165]2 years ago
3 0

Answer:

3 hours 47 minutes

Step-by-step explanation:

It takes 30 minutes to get from 11:30 am to 12:00 pm, and 3 hours and 17 minutes to get to 3:17 pm from 12:00 pm. There are 60 minutes in a hour.

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Evgen [1.6K]

2 ( x + 1 ) = 12

Use distributive property:

2x + 2 = 12

Subtract 2 from both sides:

2x = 10

Divide both sides by 2:

X = 5

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3 years ago
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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.
LenaWriter [7]
6x-5=4x+5
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3 years ago
Simplify (125)^-2/3 with positive exponents and no radicals <br>show all work.<br>PLEASE HELP
Reptile [31]
For this case, what you should keep in mind are the following considerations:

 1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.

 2) Simplify the expression as much as possible.

 Answer:
 See attached image.

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3 years ago
Plz help will be marked BRAINLIEST! <br> Thanks
blagie [28]

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

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