F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
A. 32 g
B. 3670 g
Step-by-step explanation:
Basket + 25 bars: 1110 g
Basket: 310 g
25 bars: 1110 g - 310 g = 800 g
1 bar: 800 g / 25 = 32 g
105 bars: 105 × 32 g = 3360 g
Basket + 105 bars: 310 g + 3360 g = 3670 g
Answer:
A. 32 g
B. 3670 g
Answer:
D. x= -1 and x = -9
Step-by-step explanation:
Hope it helps :)
Answer:
-10d⁴ + 17d²s - 6s²
Step-by-step explanation:
Multiply using FOIL
First
-2d² * 5d² = -10d⁴
Outer
-2d² * -6s = 12d²s
Inner
s * 5d² = 5d²s
Last
s * -6s = -6s²
-------------------------
Together
-10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms
-10d⁴ + 17d²s - 6s²
