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NeX [460]
2 years ago
5

At a college, 7 out of 10 students work either a full-time or a part-time job in addition to their studies. If 4900 students wer

e involved at college, how many students do not have a full-time or part-time job
Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

1470 students do not have a full-time or part-time job

Step-by-step explanation:

We have a relationship between students who have a part-time job and those who do not. The ratio is 7 out of 10 students.

Then we use this relationship as a conversion factor.

If of 10 students, 7 of them have a job, then of 4900 students, how many of them have a job?

4900 * \frac{7}{10}=3430 students

Finally, those who do not have a job are:

4900- 3430 = 1470

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2<br> Find the Surface area of the prism.<br> (2 Points)<br> 5 in<br> 3 in<br> 8 in<br> 4 in
MrRa [10]

Answer:

The surface area of the prism is 108 square in.

3 0
3 years ago
The ten's digit of a two digit number is 1 more than 4 times the units' digit. if 63 is subtracted from the number, the order of
ser-zykov [4K]
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1

<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63

x = 4y + 1 ------------ (1)
9x - 9y = 63  ---------- (2)

Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)

x = 4(2) + 1 = 9

x = 9, y = 2
The number is 92

3 0
3 years ago
Find the midsegment of triangle ABC so that it is parallel to side BC and label it as segment EG on the graph.
Lelechka [254]

Answer:

Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)

Parallel: slopes both = -1/3

1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.

I will show the work for both the problems down below.

Step-by-step explanation:

Finding coordinates:

1+(-5)/2=-2  5+1/2=3

(-2,3)

1+4/2= 2.5   5+(-2)/2= 1.5

(2.5,1.5)

Show work verifying the EG and BC are parallel:

You can do this by finding the slope

Slop formula (y2-y1)/(x2-x1)

(1.5-3)/(2.5-(-2))

Then simplify

-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.

Show work verifying that EG and BC are parallel:

Use distance formula to find how long each line is

√(x2-x1)^2+(y2-y1)^2

√(2.5-(-2)^2)+(1.5-3)^2

Simplify

√4.5+(1.5)=3

Do the same thing with BC and you will get 6






7 0
3 years ago
The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are paint
AnnZ [28]

Answer:

226.08 square inches

Step-by-step explanation:

Area of a circle is given by

A=\pi r^{2}

Where r is the radius and r is the area.

For this case, since one half is painted yellow and another red, then the area for each paint will be given by

A=0.5\pi r^{2}

Substituting 12 inches for r then

A=0.5\pi 12^{2}=226.08 in^{2}

Therefore, each paint occupies approximately 226.08 square inches

3 0
3 years ago
Write <br> 0.33<br><br> as a fraction in simplest form.
GREYUIT [131]

Answer:

33/100

Step-by-step explanation:

6 0
2 years ago
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