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Kisachek [45]
3 years ago
5

The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?

Mathematics
2 answers:
horrorfan [7]3 years ago
8 0
The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75
LuckyWell [14K]3 years ago
3 0

Answer

d. 13.5 ft by 4.5 ft

Step-by-step explanation:

Let height of rectangle be x ft

Therefore, width = 3x ft

area \: of \: rectangle = 60.75 \:  {ft}^{2}  \\  \therefore \: lw = 60.75 \\  \therefore \: 3x \times x = 60.75 \\ \therefore \: 3x^{2}  = 60.75 \\  \therefore \: x^{2}  = \frac{60.75}{3}  \\  \therefore \: x^{2}  = 20.25 \\  \therefore \:x =  \sqrt{20.25}  \\  \therefore \:x = 4.5  \: ft\\ \therefore \:3x =3 \times  4.5  = 13.5 \: ft

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What is the remainder of 715 divided by 9
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Answer:

79 R 4 or 79 R 4/9

Step-by-step explanation:

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3 years ago
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Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

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4 0
3 years ago
Please help Explanation will be appreciated thanks,
Genrish500 [490]

Answer: A; 6.3%

Step-by-step explanation:

Problem 1

For the first problem, we first want to find y so that we can plug it into the expression.

We can use elimination method for the system of equations to solve.

3x+3y=21

3x-y=5

We subtract both equations to eliminate x.

4y=16                                        [divide both sides by 4]

y=4

Now that we know y, we can plug it into the expression.

\frac{4}{2} -3                                         [divide]

2-3                                         [subtract]

-1

We know that the answer is A.

--------------------------------------------------------------------------------------------------------

Problem 2

For the second problem, we need to know how to calculate percent error. The formula for precent error is \frac{|measured-exact|}{exact} *100%. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.

\frac{|75-80|}{80} *100%                               [subtract]

\frac{|-5|}{80} *100%                                   [solve absolue value]

\frac{5}{80} *100%                                     [divide]

0.0625*100%                               [multiply]

6.25

Since the problem said to round to one decimal place, we know that the answer is 6.3%.

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2 years ago
What is the value of x in the equation 2x + 3y = 36, when y = 6?
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X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X
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Mobile users in India have gone up by 20% percent in a year. There are 540 million mobile users today.
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432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer
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