Answer:
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
Step by step explanation:
The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).
Answer:
1. 8.85 quarts
2. 44.25%
Step-by-step explanation:
In 15 quarts of a solution with percentage of antifreeze = 35%
Amount of antifreeze = 35% × 15
= 0.35 × 15
= 5.25 quarts
that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%
Amount of antifreeze = 72% × 5
= 0.72 × 5
= 3.6 quarts
Total amount of mixture = 15 quarts + 5 quarts = 20 quarts
1. Now we will calculate the total amount of antifreeze in the resulting mixture.
= 5.25 + 3.6 = 8.85 quarts
2. The percentage of the resulting mixture is antifreeze
= 
= 44.25%
1. total amount of antifreeze is 8.85 quarts
2. the percentage of antifreeze is 44.25%
Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
Answer:
d.
Step-by-step explanation:
First, you want to add together the amount of money she spent on purses ($24), and then consider the amount of scarves (5+n). To solve, you would subtract 24 from 39, and then divide that answer by 5
