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4 years ago

What are the common factors of 18 and 30? What do they represent?

1 answer:

5 0

Factor out 18.

The factors for 18 are as listed:

1, 2, 3, 6, 9, 18

Now factor out 30.

The factors for 30 are as listed:

1, 2, 3, 5, 6, 10, 15, 30

Now look at the factors that are both factors for 18 and 30.

So, the common factors are 2, 3, and 6.

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

3 years ago

Linear Equations<br> Question 2<br> What is the y-intercept in the equation y = 4x - 3?

viktelen [127]

The y intercept is -3

4 0

3 years ago

Read 2 more answers

a cell phone store sells the basic model of a phone for $30 and the upgraded model for $100 when a customer signs a two-year agr

alisha [4.7K]

30b + 100u = 900
5b + 25u = 200....multiply by -6
------------------
30b + 100u = 900
-30b - 150u = - 1200 (result of multiplying by -6)
------------------add
-50u = - 300
u = 6 <== upgrated phones sold

30b + 100u = 900
30b + 100(6) = 900
30b + 600 = 900
30b = 900 - 600
30b = 300
b = 10 <== basic phones sold

8 0

3 years ago

Read 2 more answers

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles

kirza4 [7]

Answer:

The equation for this should be 1.49x + 1.25y = 100

Barbara needed to find the total of iced teas AND the total of water bottles that sells.

Step-by-step explanation:

7 0

3 years ago

Missing numbrr of unit rate for 32/8= ?/1