We first write the fractions in their decimal forms and find out the ratio.
2 1/4 is equivalent to 2.25, and 1 1/3 is equivalent to 1.33
Ratio will be 2.25 / 1.33 = 1.69 or 1.7 rounded off. Since it cannot be simplified further, then the ratio of mulch to gravel will be 1.7: 1
Quantity of mulch sold → 1.7/2.7 of 172 →0.629 ×172 = 108.2 pounds
Quantity of gravel sold will be 172 -108. 2 = 63 .8 pounds
Yes. Since neither are rounded, 46.2 would be greater.
In the given problem the best hint that is given for getting to the answer is that Evan's family drove at the same speed each day.
Then
On the first day the speed of the car = Distance/time
= 300/6
= 50 miles/hour
Then for calculating the distance traveled on the third day = speed * time
= 50 * 3
= 150 miles
Then on the third day they arrived at the park by driving 150 miles in 3 hours. So the correct option is option "C".
Answer:
Please check the explanation.
Step-by-step explanation:
Given
f(x) = 3x + x³
Taking differentiate



solving






now solving




Thus, the expression becomes


Thus,
f'(x) = 3 + 3x²
Given that f'(x) = 15
substituting the value f'(x) = 15 in f'(x) = 3 + 3x²
f'(x) = 3 + 3x²
15 = 3 + 3x²
switch sides
3 + 3x² = 15
3x² = 15-3
3x² = 12
Divide both sides by 3
x² = 4



Thus, the value of x will be:

Answer:

More than 6.8 yards per game.
Step-by-step explanation:
Let x be the possible number of yards per play for the winning team.
We have been given that the winning team had 80 offensive plays, so the number of possible yards in 80 offensive plays will be 80x.
We have been given that a winning football team more than doubled the offensive yards gained by its opponent.
We can represents this information in an inequality as:

Therefore, the inequality
can be used to find the possible number of x of yards per play for the winning team.
Let us solve for x.

Let us divide both sides of our inequality by 80.


Therefore, the winning team will score more than 6.8 yards per play.