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Nutka1998 [239]
3 years ago
14

Mr. Thompson has been asked to partition some space in a garage for storage. He estimates 6 square feet per individual will be r

equired to meet the needs of 15 people. If the storage space takes up 5% of the garage, what is the size of the garage?
Mathematics
2 answers:
gogolik [260]3 years ago
4 0
The garage is 1800 sq feet.
MariettaO [177]3 years ago
3 0

Answer:

1800 sq ft.

Step-by-step explanation:

Let x represent the amount of space in the garage.

We know that he is estimating 6 sq ft per person, for 15 people; this gives us

6(15) = 90 sq ft.

This is 5% of the total, x; 5% = 5/100 = 0.05; this gives us 0.05x.

Together these give us the equation

0.05x = 90

Divide both sides by 0.05:

0.05x/0.05 = 90/0.05

x = 1800

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Given the graph below state whether or not the relation is a function, and give the domain and
Svetllana [295]

Answer:

  • NOT a function
  • domain: [-2, 2]
  • range: [-4, 4]

Step-by-step explanation:

A vertical line intersects the graph twice, so the relation is not a function. It is only allowed to intersect once if the relation is a function.

The domain is the horizontal extent, which is from -2 to +2.

The range is the vertical extent, which is -4 to +4.

5 0
4 years ago
What is the probability that a random sample of 1414 second grade students from the city results in a mean reading rate of more
Sonbull [250]

Answer with explanation:

Number of second grade students who are considered for sample =1414

Number of words that is being read in a Minute = 9292 words per minute

If number of students will be more than half of 1414, that is if, they can read or their reading rate is more than 9292 words per​ minute, then we can say that the sample chosen is Appropriate.

⇒Required Probability,that sample of 1414 students can read  9292 words per​ minute

                   =\frac{707+x}{1414} \text{Where }, [1 \leq x\leq 707]      

5 0
3 years ago
What is the equivalent fraction for 4/8
solmaris [256]
You are able to divide or mutiply both so let's divide. Divide each by four to get1/2. hope this helped.
5 0
3 years ago
Read 2 more answers
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
AlekseyPX

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

x: \text{opposite side of the angle of 45\º}

5: \text{hypotenuse of the right triangle}

$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $

$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $

$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2}  $

You can just remember that 5 is the diagonal of a square of side length x.

$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $

5 0
4 years ago
What is the units digit of 7^282
Stolb23 [73]
Hello,

Let's assume the last digit given by the function last(x).

last(7^0)=1
last(7)=7
last(7^2)=last(49)=9
last(7^3)=last(last(7^2)*7)=last(9*7)=last(63)=3
last(7^4)=1

If the exponent n is 0,4,8,12,.... a multiple of 4 last(7^n)=1
If the exponent n is 1,5,9,13,.... a multiple of 4 + 1  last(7^n)=7
If the exponent n is 2,6,10,14,.... a multiple of 4 + 2  last(7^n)=9
If the exponent n is 3,7,11,15,.... a multiple of 4 + 3  last(7^n)=37

Here exponent is 282=70*4+2
last(7^282)=9



6 0
3 years ago
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