Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat

A motorcycle and a car leave an intersection at the same time. the motorcycle heads north at an average speed of 20 miles per h

satela [25.4K]

First, determine the distance of the motorcycle and the car from the start point. The distance could be determined using
$\boxed{d=v \times t}$
d stands for distance, v stands for speed, t stands for time

The car
d = 48 × t
d = 48t

The motorcycle
d = 20 × t
d = 20t

At the end of t hours, the car is 48t miles (east) from the start point and the motorcycle is 20t miles (north) from the start point.

Second, determine the distance between 48t miles at east and 20t miles at north using pythagoras
distance = $\sqrt{(48t)^{2}+(20t)^{2}}$
distance = $\sqrt{2304t^{2}+400t^{2}}$
distance = $\sqrt{2704t^{2}}$
distance = 52t

The expression for their distance apart at the end of t hours is 52t

7 0

2 years ago

Janet makes 67% of free throws in her basketball games. Her coach wants to know the probability that she will make 7 out of the

8_murik_8 [283]

The probability that Janet makes a free throw is given by:
P(f)=0.67
The simulation that will be used to design the possibility of her making 7 out of 8 free throws will be:

<span>D) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die eight times.
This is is because the probability of obtaining 1,2,3 or 4 from rolling a dice is
4/6=0.67 </span>

3 0

2 years ago

Read 2 more answers

Solve the inequality. c – 5 ≤ 6

Vilka [71]

Hello There!

Follow through:
c - 5 $\leq$ 6
Add 5 to both sides:
c - 5 + 5 ≤ 6 + 5
Simplify:
c ≤ 11

C is smaller than or equal to 11.

Hope This Helps You!
Good Luck :)

- Hannah ❤

3 0

2 years ago

Read 2 more answers

Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2?

Vikki [24]

D.
This is because the probability of getting a number greater than 2 is 4/6.
Therefore, simplifying the expression gives us the fraction 2/3.

6 0

2 years ago

Read 2 more answers

five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem

vladimir1956 [14]

The question asks for the rate of toys per hour.