2(4x – 12) + 10 – 6x = 12

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Answer:

idk what the improper fraction would be but

8x-24+10-6x=12

2x-14=12

2x=26

x=13

Step-by-step explanation:

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Carly beat the school record for the 400 meter run by 1.3 seconds. if she ran the race in 55.7 seconds, what was the record

sp2606 [1]

If Carly broke the record by 1.3 seconds and Carly's time was 55.7 the old record would be Carly's time plus 1.3 seconds for the time that Carly broke the record by, so... 57 seconds was the old record

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3 years ago

A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

allsm [11]

Answer:

One piece is $\frac{43}{3}$ inches and another piece is $\frac{86}{3}$ inches

Step-by-step explanation:

Let smaller piece length be $s$

Let larger piece length be $l$

Since total of two pieces is 43, we can write:

$s+l=43$

Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

$l=2s$

Substituting equation 2 into equation one, we can solve for s:

$s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}$

Thus longer piece is:

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3 years ago

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crimeas [40]

Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
$A=\frac{a+b}{2} \times h$

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

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The area is 39 square units.