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Irina-Kira [14]
3 years ago
6

Rates unite rates and ratios 50 candles in 4 boxes

Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0
Unit rate is the quantity per one. In this case it is how many candles per 1 box.
You divide everything by 4 to get 12.5 candles per 1 box (or 12 candles in 4 boxes and 2 left over.)

The ratio between candles in boxes would just be 50 candles to 4 boxes, or 50:4. You can simplify it to the unit rate of 12.5 candles to 1 boxes, or 12.5:1
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Factor completely. 3x^2-3x-18 HINT: Factor out the greatest common factor first.
lubasha [3.4K]

Answer:

3(x - 3)(x + 2)

Step-by-step explanation:

take out a common factor of 3 from each term

= 3(x² - x - 6)

to factor the quadratic consider the factors of - 6 which sum to - 1

These are - 3 and + 2, hence

3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form


3 0
3 years ago
How do you solve this step by step?
mestny [16]

Answer:

x = 9

Step-by-step explanation:

3x - 5x + 8x = 4x + 18

- 2x + 8x = 4x + 18

6x = 4x + 18

2x = 18

x = 9

8 0
2 years ago
How many m are in 300 mm
Ksivusya [100]
There are 1,000 mm in a m. So with that said you would do 300/1000. This equals 0.3. 
So your answer is going to be 0.3
Hope this helps :)

5 0
3 years ago
Read 2 more answers
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
2 years ago
What is 6y and 6x equal to
ella [17]

Answer:

I believe the answer is 6yx.

Step-by-step explanation:

I'm sorry if this is wrong.

6 0
3 years ago
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