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viva [34]
3 years ago
12

What is 2/3(9+x)=5(4-x)

Mathematics
2 answers:
Elza [17]3 years ago
7 0

\frac{2}{3}<span>(9+x)=<span>5(4−x)</span></span>Simplify: 
(\frac{2}{3})(9)+(\frac{2}{3})(x)=(5)(4)+(5)(−x)(Distribute)
6+\frac{2}{3}<span>x=<span>20+−5x</span></span>\frac{2}{3}<span>x+6=<span><span>−5x</span>+<span>20
</span></span></span>Step 2: Add 5x to both sides.
\frac{2}{3}x+6+5x=−5x+20+5x
\frac{17}{3}x+6=<span>20
</span>Step 3: Subtract 6 from both sides.\frac{17}{3}<span><span><span>x+6</span>−6</span>=20−6</span>\frac{17}{3}<span>x=<span>14

</span></span><span>Step 4: Multiply both sides by </span>\frac{3}{17}<span>.
</span>(\frac{3}{17} ) · (\frac{17}{3}x ) = (\frac{3}{17})·(14) 
 Answer = (\frac{42}{17}
choli [55]3 years ago
3 0
The answer should be 6. hope this helped
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Talja [164]
2/15 and 3/5 share 15 as the least common denominator, hence, added up, it equals 11/15. Lindsay has 4/15 votes.

7 0
2 years ago
WILL GIVE BRAINLIEST, RATING, AND THANKS!
Mashutka [201]

-10(-2)+y = 4

20 + y = 4

y = -16

----------------

-10(-1)+y = 4

10 + y = 4

y = -6

----------------

-10(0) + y = 4

0 + y = 4

y = -4

----------------

-10(1)+y = 4

-10 + y = 4

y = 14

----------------

-10(2)+y = 4

-20 + y = 4

y = 24

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I hope thi helps

-ayden

6 0
2 years ago
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Help!! Lots of points
murzikaleks [220]

\frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2}) }^{2}
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

\frac{ {5}^{2} }{ {2}^{2} } =  \frac{5 \times 5}{2 \times 2}   =  \frac{25}{4}  = 6.25\\  \frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2} )}^{2}  = 2.5 \times 2.5 = 6.25
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.
3 0
3 years ago
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-9x+8=26 i need help
Flura [38]

The answer is -2.

im sorry if the work is messy.

4 0
2 years ago
In the diagram B is the midpoint of a A and C. B is also the midpoint or E and F. C is the midpoint of A and D.
aivan3 [116]

Answer:

AD = 84

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 2x - 5

Since C is the midpoint of AD then AC = CD, thus

AB + BC = CD, that is

2x - 5 + 2x - 5 = x + 29

4x - 10 = x + 29 ( subtract x from both sides )

3x - 10 = 29 ( add 10 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Hence

AD = AB + BC + CD

     = 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus

AD = (5 × 13) + 19 = 65 + 19 = 84

6 0
3 years ago
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