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Ad libitum [116K]
3 years ago
15

You are installing new carpeting in a family room. The room is rectangular with dimensions 20 1/2 feet × 13 1/8 feet. You intend

to install baseboards around the entire perimeter of the room except for a 3 1/2-foot opening into the kitchen. How many linear feet of board must you purchase?
Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

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Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900
FrozenT [24]

Answer:

<em />Average = \$873<em />

<em />

Step-by-step explanation:

Given

$1000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for other days

Required

Compute the daily average

First, we need to compute the number of days her balance is $900

Assuming the billing cycle is 30 days;

Number\ of\ days = 30 - (9 + 10 + 4)

Number\ of\ days = 30 - 23

Number\ of\ days = 7

The Average is then calculates using:

Average = \frac{\sum fx}{x}

Average = \frac{1000 * 9 + 750 * 10 + 850 * 4 + 900 * 7}{9 + 10 + 4+ 7}

Average = \frac{26200}{30}

Average = 873.333333333

<em />Average = \$873<em> --- Approximated</em>

3 0
3 years ago
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor function
Jet001 [13]

Answer:

A. neither a relation nor a function

Step-by-step explanation:

A relation between two sets is a collection of ordered pairs containing one object from each set.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Quadratic equations are not functions. Quadratic equations are not a function because they touch two points that is on the same y-axis. Furthermore, if they are two points that have the same x axis, then it is not a function either. It doesn't have a relation either because there are two outputs that are the same by the x axis for 3x^2 - 9x + 20. Those are x = 1 and x = 2. For proof, you can plug both of them in.

3(1)^2 - 9(1) + 20 = 14

3(2)^2 - 9(2)+ 20 = 14

Both answers have 14 as the y-axis/output. This proves that this quadratic equation is not a relation either. Therefore, this equation is neither a relation nor a function.

4 0
3 years ago
Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is t
Rashid [163]

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

4 0
3 years ago
Which of the following is the best estimate of the square root of 160
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Answer:

12-13

Step-by-step explanation:

the actual number is 12.64 whether your round up or down is up to you

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Answer: A

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