Problema Solution
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.
Answer:
10.24
Step-by-step explanation:
Area of a circle=sides²
Area of a circle=(3.2)²=3.2(3.2)=10.24
Answer:
Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Step-by-step explanation:
The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.
The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Answer:
Reflect over the y-axis
Step-by-step explanation:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).
Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.
The reflection of the point (x,y) across
the y-axis is the point (-x,y).
Answer:
Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.
Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.
According to the context clues provided by the author, what is a pesticide?
Group of answer choices
Step-by-step explanation:
Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.
Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.
According to the context clues provided by the author, what is a pesticide?
Group of answer choices
