12 people ⇒8 cups
1 person ⇒ 8/12 = 2/3 cup
7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups
Answer: She should use 4 2/3 cups of sugar.
Answer:
x = 47
Step-by-step explanation:
86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka
86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)
2x = 94 (divide both sides by 2 to get x by itself)
x = 47
ANSWER
y = 2/3x + 15
Explanation:
Equation used: y - y1 = m( x - x1 )
y - 9 = 2/3 ( x - -9 )
y - 9 = 2/3x + 6 ( distribution )
y - 9 = 2/3x + 6 ( add 9 to 6 )
y = 2/3x + 15
Answer: -3
Step-by-step explanation:
-4
+ 
can be written as
x 
which is the same as 2
Also ,
can be written as
x
, which is the same as 5
Substituting into the main question , we have
-4 (2
) + 5
= -8
+ 5
= -3
Lets x = width
height = 2x - 4
A = 1/2 b h
63 = 1/2 (x)(2x-4)
126 = 2x^2 - 4x
2(x^2 - 2x - 63) = 0
2(x - 9)(x + 7) = 0
x - 9 = 0; x = 9
x + 7 = 0; x = -7
so width = 9
height = 2(9) - 4 = 18 - 4 = 14
answer
width = 9 in
height = 14 in