<span>
<u><em>The correct answer is: </em></u>green and blue.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We want to see which fractions </span></span>
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is a multiple of. We know that
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is a multiple of
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
, because
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
*3=
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
.
We can divide fractions to determine if
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is a multiple of
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
:
![\frac{ \frac{3}{4}}{ \frac{1}{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B3%7D%7B4%7D%7D%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20)
;
in order to divide fractions, flip the second one and multiply:
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
)*
![\frac{2}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B1%7D%20)
=
![\frac{6}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B4%7D%20)
=1
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
.
This did not divide evenly, so
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is not a multiple of 1/2.
Checking to see if
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is a multiple of
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
,
![\frac{ \frac{3}{4}}{ \frac{1}{8}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B3%7D%7B4%7D%7D%7B%20%5Cfrac%7B1%7D%7B8%7D%7D%20)
;
flip the second one and multiply:
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
*
![\frac{8}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B1%7D%20)
=
![\frac{24}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B4%7D%20)
=6.
This divided evenly, so
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
is a multiple of
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
.
Step-by-step explanation:
DG is the total measurement of the line. M is a point inbetween D & G
2x + x - 2 = 7
Simplify. Combine likke terms
(2x + x) - 2 = 7
3x - 2 = 7
Isolate the x. First, add 2 to both sides
3x - 2 (+2) = 7 (+2)
3x = 9
Isolate the x. Divide 3 from both sides
(3x)/3 = (9)/3
x = 9/3
x = 3
-------------------------------------------------------------------------------------------------
3 is your answer for x
--------------------------------------------------------------------------------------------------
~<em>Where the Good Way Lies, Hope Unfolds</em>
Answer:
400
Step-by-step explanation:
437.6 is closer to 400 the 500
Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
Your welcome