Answer:
7
Step-by-step explanation:
Divide 7/8 by 1/4. (You divide the "supply" of raisins into 1/4 cup "parts".)
Multiply 7/8 by the reciprocal of 1/4 ("flip" the 1/4).
The result is 28/8, which can be simplified ("reduced") to 7.
Answer:
Step-by-step explanation:
5.
point = (x, y)
A = (
, 12)
B = (
, 20)
C = (3, 24)
D = (
, 28)
y/x ratios
24/3
6.
(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2
(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2
(3, 7) = 7 ÷ 3 = 2 1/3
(4 1/2, 9) = 9 ÷ 4 1/2 = 2
The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.
The other ratios are equal to each other and are therefore in proportion.
7. yes
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
