MATHEMATICS COLLEGE

Jack has a summer job caddying at a golf course. Jack earns $120a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.

A) $700
B) $800
C) $1200
D) $1700

Answers

Answer 1
Answer: 1200 as you would round it down to 100 a week so you would do 100x12

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At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then, three times as much hay was removed from the first pit as was removed from the second pit. After that, there was half as much hay in the first pit as there was now in the second pit. How many tons of hay was taken from the first pit?

Answers

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

Check

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 21.352 feet, what is the volume of the sculpture? Use 3.14 for Pi

Answers

Answer:

Volume, V=96.79\ \text{feet}^3

Step-by-step explanation:

An artist creates a cone shaped sculpture for an art exhibit.

Height of sculpture is 8 feets

The circumference of base of the cone is 21.352 feet.

The base of a con is circular shaped. So,

2\pi r= 21.352

r is radius of cone

r= (21.352)/(2* 3.14) \n\nr=3.4\ ft

The volume of cone shaped sculpture is given by :

V=(1)/(3)\pi r^2 h\n\nV=(1)/(3)* 3.14* (3.4)^2 * 8\n\nV=96.79\ \text{feet}^3

So, the volume of the sculpture is 96.79\ \text{feet}^3.

a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

Answers

The angles of rotation that would not map the figure onto itself will not be the multiple of 40 and this can be determined by evaluating the possible angle of each rotation.

Given :

  • A nonagon is a nine-sided polygon.
  • A regular nonagon was rotated about its center point.

To determine angels of rotation that would not map the figure onto itself, first, evaluate the possible angle of each rotation.

To determine the possible angle of each rotation the following calculation can be used:

The possible angle of eachrotation is the ratio of the complete rotation to the number of sides.

\rm Each \;Rotation = (360^\circ)/(9)

Each Rotation = 40^\circ

So, the angles of rotation that would not map the figure onto itself will not be the multiple of 40.

For more information, refer to the link given below:

brainly.com/question/22051318

Answer:

See Explanation

Step-by-step explanation:

Given

Shape: Nonagon

Required

Angles of rotation that would not map the shape on itself

Side of a nonagon is:

Sides = 9

and a complete rotation is:

Complete\ Rotation = 360\°

To start with, we calculate a possible angle of each rotation:

This is calculated by dividing the complete rotation by number of sides

Each\ Rotation = (360)/(9)

Each\ Rotation = 40

The question lacks option; so, it's difficult to give a specific answer.

However, I'll give a generalized answer

For the nonagon to map on itself, the angle must be a multiple of the calculated angle of rotation (40)

i.e.

Possible\ Angles = 40,80,120,160,200,240,280,320,360......

Any angle different from the above listed angles (or any other multiple of 40 not listed above) answers the question.

15 points PLEASE HELPKirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?

Answers

Answer:

27.50(80) is 2,200

2,200-396-175-264= 1,365

I think this is how u do it correct me if I'm wrong

Suppose that vehicles taking a particular freeway exit can turnright (R), turn left (L), or go straight (S). Consider observingthe direction for each of three successive vehicles.a. List all outcomes in the event A that all three vehicles go inthe same direction.
b. List all outcomes in the event B that all three vehicles takedifferent directions.
c. list all outcomes in the event C that exactly two of the threevehicles turn right.
d. List all outcomes in the event C that exactly two of the threevehicles turn right.
e. List outcomes in D', C U D, and C D

Answers

Answer:

a.) A= [RRR, LLL, SSS]

b.) B=[RLS, RSL, SRL, SLR, LRS, LSR]

c.) C=[RRL, RRS, RSR, RLR, SRR, LRR]

e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]

Step-by-step explanation:

If three consecutive vehicles are considered with their direction as R, L and S, then

a.) when the three vehicles go in same direction, A= [RRR, LLL, SSS]

b.) When the three vehicles take the different direction, B=[RLS, RSL, SRL, SLR, LRS, LSR]

c.) when exactly two vehicles turn right, C=[RRL, RRS, RSR, RLR, SRR, LRR]

d.) repeated question of C above.

e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]

Answers to the question

Answers

Answer:

2=53 employees(m)

4=91 employees(m)

6=129 employees(m)

8=167 employees(m)

Step-by-step explanation:

19x2=38+15= 53

19x4=76+15= 91

19x6=114+15=129

19x8=152+15=167
brainly making me answer sorry
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Will give extra points and brainliest !! /: