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Bess [88]
3 years ago
8

Use the distributive property and combine like terms to simplify: u(v−10)

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:

uv - 10u

Step-by-step explanation:

To distribute a problem, you have to multiply what is on the outside of the parenthesis with what is on the inside.

u · v = uv

u · -10 = -10u

Combined, u(v - 10) = uv - 10u.

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Find 6 rational numbers between -2/3 and 1/2?
a_sh-v [17]

Answer:

-3/6 -2/6 -1/6 0/6 1/6 2/6

4 0
3 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
Can someone help me please
I am Lyosha [343]

Answer:

The answer is 25 cm.

Step-by-step explanation:

8 0
3 years ago
Square of 5x+1 by 5x​
gayaneshka [121]

Answer:

5x​(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

6 0
3 years ago
Find the solution of the system of equations. 6x -y= 21. -5x + y= -18​
Lapatulllka [165]
First one is -6 and the second one is -3
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