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Naily [24]
3 years ago
12

The Paint Factory has 500 different colors of interior paint from which to choose. Generate an equivalent expression using prime

factorization for the number 500.
a)2 x 2 x 5 x 25
b)4 x 5 x 25
c)2 x 2 x 5 x 5 x 5
please hurry
Mathematics
2 answers:
Alina [70]3 years ago
8 0

Answer:

c)2 x 2 x 5 x 5 x 5

500 \\  \frac{500}{5}  = 100 \\  \frac{100}{5}  = 20 \\  \frac{20}{2}  = 10 \\  \frac{10}{2}  = 5 \\   \frac{5}{5}  = 1\\

Rewrite the denominators

2 x 2 x 5 x 5 x 5

belka [17]3 years ago
6 0

Answer:

The answer is C.

Step-by-step explanation:

The simplest form is C.

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45 points for first most detailed / accurate answer:
Bas_tet [7]
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions. 

I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.

With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:

V=pi(r^2)(h)

we then solve the corresponding height per candle. Let us let the value of pi be 3.14.

Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for 

r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in

b. each candle should sell for $15.00 each

($20+$100)/8=$15.00

c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
7 0
3 years ago
Hurry Plsssss answer!
Bogdan [553]

Answer:

Perpendicular...They have opposite slopes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour
irakobra [83]
Recall d  = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t

so, at that speed the whole driving time is 9 hours then.  Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph?  d = rt ---> d = 56 * 7

that many miles he drove yesterday.
8 0
3 years ago
The equation y = 0.035x shows the relationship between the grams and ounces.
scoundrel [369]
The equation y = 0.035x where x is in grams, and y is ounces, then 22 grams would be 0.035 x 22 = 0.77 ounces
4 0
3 years ago
ANOTHER ONE TO TAKE A LOOK AT DOUBLE OR NOTHING
Nutka1998 [239]

Answer:

The answer is 3rd point

Step-by-step explanation:

By looking at the table :

10-10.99,

$15.95 (1 dot)

20-29.99,

$21.52, $25.55, $27.78, $29.90 (4 dots)

30-39.99,

$33.98, $36.77 (2 dots)

40-49.99,

$43.44 (1 dot)

50-59.99,

$51.25 (1 dot)

60-69.99,

$60.54, $64.56, $67.89 (3 dots)

Then you can determine number of dots in each range.

8 0
3 years ago
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