MATHEMATICS
HIGH SCHOOL

Answer: Delia took a break at 10.35am after working for 45 minutes

⇒ count back 45 minutes from 10.35am

45 mins before 10.35am = 9.50am

⇒ count back 45 minutes from 10.35am

45 mins before 10.35am = 9.50am

COLLEGE

Th local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16 bikes in the bike racks. What expression shows the total number of empty spaces in the bike racks?

4 * 15 bike storage capacity

16 spaces are occupied

This leaves 60 - 16, or 44, spaces available.

16 spaces are occupied

This leaves 60 - 16, or 44, spaces available.

HIGH SCHOOL

What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3) B. (-1, 3)

C. (1, -3)

D. (1, 3)

ANSWER

The turning point is

EXPLANATION

The function given to us is

At turning point,

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,

We equate this to zero to obtain,

We divide through by 3.

We solve for x to get,

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

Therefore the turning point is

C is the correct answer.

The turning point is

EXPLANATION

The function given to us is

At turning point,

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,

We equate this to zero to obtain,

We divide through by 3.

We solve for x to get,

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

Therefore the turning point is

C is the correct answer.

Answer: C. (1, -3)

Step-by-step explanation:

Given function,

-------(1)

By differentiating the above equation with respect to x,

At the turning point of the function f(x),

f'(x) = 0

⇒

⇒

⇒

⇒

By substituting this value in equation (1),

We get,

f(x) = - 3

Hence, the turning point of the function f(x) is (1,-3).

⇒ Option C is correct.

MIDDLE SCHOOL

Barry is given $0.40 and $0.90 from his parents. he adds this to the $6.30 in his piggy bank how much money does he have in totoal

Answer:

$7.30

Step-by-step explanation:

If you add .40 + .60 you'll get 1 and if you add that to the 6.30 then you'll get $7.30

HIGH SCHOOL

A circular garden is bordered by a walkway. The radius of the garden is 6 feet, and the walkway is 2 1/2 feet wide. Rose wants to put a fence around the garden, between the garden and the walkway. How many feet of fencing will she need to buy? C= πd π= 22/7 A.) 6^2 π

B.) 6 π

C.) 8 1/2 π

D.) (8 1/2)^2 π

E.) None of the above

From the selections given, select

E) None of the above

E) None of the above

HIGH SCHOOL

A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car. What is the length of the radius of the Ferris wheel

Answer:

20 m

Step-by-step explanation:

The distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.

COLLEGE

A small grocery store had 10 cartons of milk, 2 of which were sour. If you are going to buy the 6th carton of milk sold that day at random, find the probability of selecting a carton of sour milk.

Answer:

The probability that the sixth customer buys sour milk is .

Step-by-step explanation:

The grocery store has a total of 10 cartons of milk.

The number of cartons of milk that are sour is, 2.

- If none of the sour cartons of milk were bought by the first 5 buyers, then the probability of this event is:

P (Both the sour cartons are available to be sold to the sixth customer)

=

- If only one sour carton of milk is sold to the first 5 buyers then the probability is:

P (Only one sour cartons is available to be sold to the sixth customer)

=

- If both the sour carton of milk is sold to the first 5 buyers then the probability is:

P (None of the sour cartons is available to be sold to the sixth customer)

=

Compute the probability that the sixth customer buys sour milk:

= P (Both sour milk is available for the 6th customer) +

P (Only one sour milk is available for the 6th customer) +

P (None of the sour milk is available for the 6th customer)

Thus, the probability that the sixth customer buys sour milk is .

HIGH SCHOOL

Amery drives 60 miles in one hour. how many miles does he drive in 3.35 hours?

H = hours

1h = 60 miles

3.35h = ? miles

fill in h for 60, 3.35(60) = 201

therefore, 201 miles in 3.35 hours!

1h = 60 miles

3.35h = ? miles

fill in h for 60, 3.35(60) = 201

therefore, 201 miles in 3.35 hours!

MIDDLE SCHOOL

If 3 3/4 pounds of candy cost $20.25, how much is 1 pound of candy

3 and 3/4lb=20.25

what you should do is divide both sides by 3 and 3/4 but that isnt nice

convert 3 and 3/4 to improper

3 and 3/4=3+3/4=12/4+3/4=15/4

15/4lb=20.25

times 4/15 to both sides (15/4 times 4/15=60/60=1)

1lb=81/15

1lb=5.4

answer is

1lb=$5.40

what you should do is divide both sides by 3 and 3/4 but that isnt nice

convert 3 and 3/4 to improper

3 and 3/4=3+3/4=12/4+3/4=15/4

15/4lb=20.25

times 4/15 to both sides (15/4 times 4/15=60/60=1)

1lb=81/15

1lb=5.4

answer is

1lb=$5.40

MIDDLE SCHOOL

in a rowing race, the distance between the teams in first place and second place is 5.7 meters. The distance between the teams in second and third place is one third that distance. How much farther ahead is the team in first place than in third?

Answer:7.6

Step-by-step explanation:

Given

Distance between first team place and second place is 5.7 meters

And distance between the teams in second and third place is one third that distance i.e.

so the distance between the first team and the third team is

5.7+1.9=7.6 m

Distance between 1st and 2nd is 5.7 meters

Distance between 2nd and 3rd is (1/3) of 5.7 meters.

So the distance between 1st and 3rd is:

5.7 + (1/3)(5.7) = 5.7 + 1.9 = 7.6 meters

Distance between 2nd and 3rd is (1/3) of 5.7 meters.

So the distance between 1st and 3rd is:

5.7 + (1/3)(5.7) = 5.7 + 1.9 = 7.6 meters