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olchik [2.2K]
3 years ago
13

-5(t + 6) + 7t = 100

Mathematics
1 answer:
Mila [183]3 years ago
3 0
Use distribution
-5t - 30 + 7t = 100
Combine like terms
2t - 30 = 100
Add 30 to both sides
2t = 130, t = 65
Solution: t = 65
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Which is the correct way to write 602, 200,000,000,000,000,000,000 in scientific notation?
scoundrel [369]
Scientific notation is
n times 10^x
where 1≤n<10 and x is the number of places the decimal place moved (if it moved to the right, x is negative, if it moved to the left, x is positive)


602, 200,000,000,000,000,000,000.0
we see we need to move decimal to the left 23 spaces to here
6.022 times 10^23

answer is 6.022*10^{23}


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3 years ago
Find value of x for 7(3x+4)+2=156
mr_godi [17]
21x + 28 = 156 - 2
21x = 154 - 28
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4 0
3 years ago
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Step-by-step explanation:

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7 0
2 years ago
7. If the volume of a cylinder, where the height is 3 times the radius, is 247, find the surface area of the cylinder.
lakkis [162]

Answer:

3.87987×10^5

Step-by-step explanation:

surface area of the cylinder =2πrh+2πr²

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=3.87987×10^5

7 0
3 years ago
While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at
tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)

simplifying the equation, we get

23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)

23(2.8+2.8)/29=2.8^2-x^2

x^2=(2.8)^2-(23*5.6)/29)=3.4

x=\sqrt{3.4}=1.84m/s

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

To learn more about Speed refer to:

brainly.com/question/4931057

#SPJ4

4 0
2 years ago
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