MATHEMATICS COLLEGE

What is the area of a circular pool with a diameter of 36 ft?

Answers

Answer 1

Answer:

Answer:

1,017.36ft^2

Explanation:

Area of the circular pool = \pi r^2

r is the radius of the pool

Given

r = d/2

r = 36/2

r = 18ft

Area of the circular pool = 3.14(18)^2

Area of the circular pool = 3.14 * 324

Area of the circular pool = 1,017.36ft^2

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34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work

Answers

Answer:

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

Step-by-step explanation:

Given that:

Original price of video game = $28.50

Discount on original price = 35%

Sales tax = 10%

Money available with Pat and Henri = $21 each

First of all, let us find out the price as per Pat's method.

Step 1:

Taking 35% of $28.50

$\Rightarrow (35)/(100)* \$28.50 = \$9.975$

Step 2:

Subtract from $28.50 to find the sale price:

$28.50 - $9.975 = $18.525

Step 3:

Take 10% of sale price:

$\$18.525* (10)/(100) = \$1.8525$

Step 4:

Add to sale price to get the final amount to be paid:

$18.525 + $1.8525 = $20.3775

Now, let us use Henri's method:

Step 1:

Find 65% of original price:

$(65)/(100)* $28.50 = \$18.525$

Step 2:

Find 110%:

$(110)/(100)* \$18.525 = \bold{\$20.3775}$

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

6 X 9 =
6 X (5 + 4)
6 X 9 = (6 X 5) + (6 X 4)
6 X 9 =
6 X 9 =
54

Answers

You gave us the answer it will be 54.

Answer:

Step-by-step explanation:

9(6)=54

6(9)=54

54=(30)+(24) 54=54 so it is true

9x6=54

Given the equation: 3x − 4y = 8,a) write an equation of a line parallel that passes through the point (-16, 4).

b) write an equation of a line perpendicular that passes through the point (9, -7).

Answers

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16 answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign. so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b

Rewrite the following using the GCF and Distributive properly ?

63 + 27

Answers

the GCF is 90

Distributive property can be written as
(9)(7) + (9)(3)
or
9(7 + 3)

45 is the GCF I’m pretty sure

I would appreciate if you solved number 2

Answers

Answer:

the answer for #2 is 6

Step-by-step explanation:

Formula for a triangle:

Area = Base x Height ÷ 2

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Answers

Answer:

Here's what I get

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.

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Sanderson Manufacturing produces ornate, decorative wood frame doors and windows. Each item produced goes through three manufacturing processes: cutting, sanding, and finishing. Each door produced requires 1 hour in cutting, 30 minutes in sanding, and 30 minutes in finishing. Each window requires 30 minutes in cutting, 45 minutes in sanding, and 1 hour in finishing. In the coming week Sanderson has 40 hours of cutting capacity available, 40 hours of sanding capacity, and 60 hours of finishing capacity. Assume all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400.Required:a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?

The number of rows in a movie theater can be represented by the function f(x) = 12x.The number of seats in each row in the theater can be represented by the function g(x) = x + 9.Which function represents the total number of seats, h(x) = f(x)g(x)?h(x) = 12x + 108h(x) = 12x2 + 108xh(x) = 12x – 108h(x) = 12x2 + 108

Does anyone know how to do this? I’m lost

WRITE A LINEAR EQUATION FOR THE TABLE BELOW. A) WHAT IS THE Y-INTERCEPT OF THIS TABLE? WHAT PATTERN IN THE TABLE CAN YOU USE TO HELP YOU FIND THE Y-INTERCEPT? B) WHATS THE SLOPE OF THIS TABLE? USE THE SLOPE FORMULA. C) WHAT IS THE EQUATION OF THIS TABLE? USE YOUR SLOPE (M) AND Y-INTERCEPT (B) TO WRITE THE EQUATION IN Y=MX+B FORM.