Answer:
as a mixed fraction 6 2/3, improper fraction 20/3
All parallel lines have the same slope. So the product of the slopes of line AB n a line parallel to AB is m*m=m^2
72 is the answer you are looking for here
Answer:
Salad(x)=6, smoothie(y)=4
Step-by-step explanation:
Salad=x
Smoothie=y
2x+4y=28 (1)
3x+5y=38 (2)
To eliminate the x- variable ,equ(1) is multiplied by -3 and equ(2) is multiplied by 2
-6x-12y=-84 (3)
6x+10y=76 (4)
Add equ (3) and (4)
-2y=-8
y=-8/-2
y=4
Substitute y=4 into equ(1)
2x+4y=28
2x+4(4)=28
2x+16=28
2x=28-16
2x=12
x=12/2
=6
x=6, y=4
Answer:
- 5/6 > 2/4
- 4/10 < 7/8
- 3/12 = 1/4
Step-by-step explanation:
The comparison will be the same if you subtract the right side and compare to zero:
a/b ?? c/d . . . . . . . using ?? for the unknown comparison symbol
a/b - c/d ?? 0 . . . . subtract the fraction on the right
(ad -bc)/bd ?? 0 . . . combine the two fractions
ad - bc ?? 0 . . . . . . multiply by bd to make the job easier
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<u>5/6 and 2/5</u>
5(5) -6(2) = 25 -12 > 0 ⇒ 5/6 > 2/5
<u>4/10 and 7/8</u>
4(8) -10(7) = 48 - 70 < 0 ⇒ 4/10 < 7/8
<u>3/12 and 1/4</u>
3(4) -12(1) = 0 ⇒ 3/12 = 1/4
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Of course, you can use your calculator (or your memory) to change each of these to a decimal equivalent. The comparison should be easy at that point.
0.833 > 0.400
0.400 < 0.875
0.250 = 0.250