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pychu [463]
3 years ago
10

Find two numbers that have 2, 3, and 5 as factors. What other factors do those two numbers have in common?

Mathematics
1 answer:
Advocard [28]3 years ago
4 0
To find the first number, just multiply the three numbers together.
2*3*5 \\ 6*5 \\ 30

To find the second number, multiply the three numbers together along with another number (this number can be anything).
2*3*5*4 \\ 6*5*4 \\ 30*4 \\ 120

<u>What They Have in Common:
</u><u />- All numbers will be even, since you are multiplying by 2.
- All numbers will end in a zero, since you are multiplying by 5 and also 2.

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
yarga [219]

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0
3 years ago
Joel is using a recipe to make cookies for a club bake sale.
olasank [31]

Answer:

3/4 cups → 1 batch

x cups    → 2 batches

x = 2(3/4) = 6/4 = 1 1/2 cups

 

3/4 cups → 1 batch

y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Need help with these two questions please
lisabon 2012 [21]
You can figure out the answer by doing this:

8% = 2300/x 

and do the same for the second one
(and solve)
4 0
3 years ago
Select the correct answer. adrianna works as a purchasing manager at a trading firm and earns a salary of $60,000. she has deduc
nignag [31]

Answer:

$46,000

Step-by-step explanation:

We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).

So here's what we get

$60,000 - $3,000 - $5,000 - $6,000 = $46,000

<em>P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!</em>

4 0
2 years ago
What is the equation of a line perpendicular to 3X+6Y= -3 and passes through the points (1,-5)
LenaWriter [7]

Answer:

Step-by-step explanation:

6y = -3x - 3

y = -1/2x - 1/2

perp. 2

y + 5 = 2(x - 1)

y + 5 = 2x - 2

y = 2x - 7

3 0
3 years ago
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