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Sophie [7]
3 years ago
5

A car is traveling at a rate of 90 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil

l the car travel in 20
minutes? Do not round your answers.
Mathematics
1 answer:
loris [4]3 years ago
4 0

90k/60minutes, the car travels 3/2 kilometers in a minute. 20 x 3/2 is 30 kilometers that the car travels in 20 minutes.

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If s varies inversely as<br>t^2, and s = 10 when t=2, find s when t is 10.​
shepuryov [24]

We apply our knowledge in variation.

The solution can be seen in the photo

6 0
3 years ago
Please help ASAP! <br> X= <br><br> A) 4<br> B) 7<br> C) 9
melisa1 [442]

Answer:

C) x = 9

Step-by-step explanation:

When two segments intersect in a circle like so, the product of the two parts of one segment will be equal to the product of the two parts of the other segment.

So,<em> 3 * 6 = x * 2</em>

Multiply: 18 = x * 2

Divide: x = 9

8 0
3 years ago
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HELPPPP ASAPPP PLEASSSSEE
kolezko [41]

Let dimes = d and quarters =q

D + q = 50

D= 50-q

0.10d + 0.25Q = 7.70

Replace d with 50-q:

0.10(50-q) + 0.25q = 7.70

Simplify:

5 -0.10q + 0.25q = 7.70

5 + 0.15q = 7.70

Subtract 5 from both sides:

0.15q = 2.70

Divide both sides by 0.15:

Q = 2.70 / 0.15

Q = 18

D = 50-18 = 32

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3 years ago
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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
Why is it important to be able to write a fraction is simplest form?
ziro4ka [17]
Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form. 
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