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3 years ago

PLEASE HELP! The table defines a function (x:7,10,13,16) (y:21,30,39,48)

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Answer:

(x:21,30,39,48)(y:7,10,13,16)

Step-by-step explanation:

For an inverse, the x value becomes the output and the y values becomes the input

(x:21,30,39,48)(y:7,10,13,16)

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You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1

Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is $368\ ft^2$

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) $\$75$

Part 5) The area of the floor is $126\ ft^2$

Part 6) $\$850.5$

Part 7) $\$1,008$

Part 8) $\$472.5$

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

The perimeter of the floor is

$P=2(9+14)=46\ ft$

The area of the walls is

$46(8)=368\ ft^2$

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

$368(2)=736\ ft^2$

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

$3(25)=\$75$

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

$A=(9)(14)=126\ ft^2$

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

$126(6.75)=\$850.5$

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

$126(8.00)=\$1,008$

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

$126(3.75)=\$472.5$

5 0

3 years ago

What is 1/2+9/10+M=2, what is M and how

Mashcka [7]

1/2+ 9/10+ M= 2
⇒ 7/5+ M= 2
⇒ M= 2- 7/5
⇒ M= 3/5

M= 3/5~

4 0

3 years ago

What is the relationship between 0.04 and 0.004?

umka21 [38]

Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.

7 0

2 years ago

Read 2 more answers

$1400 principal earning 6%, compounded semi-annually, after 10 years?

Alina [70]

Assuming future value of the principal is required.

P=1400
i=0.06/2=0.03
n=10*2=20
Future value
=P(1+i)^n
=1400(1.03)^30
=2528.56

6 0

3 years ago

In AXYZ, the angle measures are in the ratio 2:4:6. What are the measures of the angles?

Andrej [43]

Answer:

Please check the explanation.

Step-by-step explanation:

Given that the measures of the Angles of the triangle ΔXYZ are in the ratio 2:4:6.

As the angles are in the proportion 2:4:6. Thus, the measure of the angles will have the same scale factor x.

Also, the sum of the measure of angles in a triangle is 180°.

2x + 4x + 6x = 180

Add similar elements: 2x + 4x + 6x = 12x

12x = 180

Divide both sides by 12

12x/12 = 180/12

Simplify

x = 15

Therefore, the measure of the angles of a triangle will be:

2x = 2(15) = 30

4x = 4(15) = 60

6x = 6(15) = 90

Verification:

30 + 60 + 90 = 180

180 = 180

8 0

3 years ago