Answer:
16 quarts
Step-by-step explanation:
Let's say x is the volume of water.
Initially, the amount of antifreeze is the concentration times the volume: 0.90 (8).
After the water is added, the amount of antifreeze is the new concentration times the new volume: 0.30 (8 + x).
Since the amount of antifreeze doesn't change, we can set these equal and solve for x.
0.90 (8) = 0.30 (8 + x)
7.2 = 2.4 + 0.30 x
4.8 = 0.30 x
x = 16
16 quarts of water should be added.
A: 8 x 1/4 = 2, so Roger ran 2 miles. 5280 x 2 = 10560, so Roger ran 10560 feet.
B. Roger already ran 2 miles, so he needs to run 8 more miles to reach his goal. 1 lap = 1/4 mile, so divide 1/4 from 8 to get 32. Roger needs to run 32 more laps this week.
The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.
h(t) = 35 - 16t²
h(t) = 6 + 18t + 16t²
At t = 0, Then we have
h(0) = 35 - 16(0)²
h(0) = 35
And
h(0) = 6 + 18(0) + 16(0)²
h(0) = 6
The height of the baseball is 6 feet at the moment the player begins to leap.
More about the function link is given below.
brainly.com/question/5245372
amount spent = y
pounds of potatoes = x
dollars per pound = m
other ingredients cost = b
y=mx+b
