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Gelneren [198K]
3 years ago
8

A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration

should be combined to make 25 fl oz of 3.2% acid solution?
Mathematics
1 answer:
algol [13]3 years ago
7 0

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

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3 years ago
Please help me !!!!!!
navik [9.2K]

Answer:

The answer is the roman numeral ||.

Step-by-step explanation:

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8 0
3 years ago
Least the containers from least to greatest capacity; 1.73, 2.061, 1.59, 2.1
RSB [31]

Answer:

1.59 < 1.73 < 2.061 < 2.1

Step-by-step explanation:

Hello,

We know that 2 is higher than 1. So to pick the first ones we know it won't be the two numbers starting with a 2. We are left with two numbers : 1.73 and 1.59. <u>In this case we can multiply these two numbers by 100. We are allowed to do this only if we do it to all the numbers we are trying to figure out.</u> In this case, it is 1.73 and 1.59 (we are excluding the 2s). So we end up with : 173 and 159. This might help you. We obviously know that 173 is a larger number than 159.

So, we then proceed to the numbers starting with a 2. <u>In this case we can multiply both by 1,000 considering the fact that the number 2.061 has 3 digits after the dot.</u> This will make it easier for us. When we multiply both by 1,000 we end up with 2,061 and 2,100. We obviously know that 2,061 is smaller than 2,100.

I hope this helped

Kind regards,

Clém

7 0
3 years ago
Use the distributive property to create an equivalent expression to 7x divided by 56 use GCF
MAXImum [283]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
William is setting up for folding chairs for a meeting he arranges the chairs and seven rows of the same link he has three chair
DiKsa [7]

Answer:

William has a total of 66 chairs.

Step-by-step explanation:

Let the number of chairs in each row be 'x'.

Also let the Total number of chairs be 'y'.

Given:

If he arranges the chairs in seven rows of the same length he has three chairs left

Number of rows = 7

Number of chairs left = 3

Now we can say that;

Total number of chairs will be equal to number of chairs in each row multiplied by Number of rows plus Number of chairs left.

framing in equation form we get;

y=7x+3

Also Given:

If he arranges the chairs in five rows of the same length he has 21 chairs left

Number of rows = 5

Number of chairs left = 21

Now we can say that;

Total number of chairs will be equal to number of chairs in each row multiplied by Number of rows plus Number of chairs left.

framing in equation form we get;

y=5x+21

Now we know that Total number of chairs are same.

Hence we can say that both the equations are equal.

7x+3=5x+21

Combining like terms we get;

7x-5x=21-3\\\\2x= 18

Dividing both side by 2 we get;

\frac{2x}{2}=\frac{18}{2}\\\\x=9

So we can that there are 9 chairs in each row.

Now to find the total number of chairs he has we will substitute value of x in any of the equation we get;

y =7x+3\\\\y=7\times9+3\\\\y=63+3 =66

Hence William has a total of 66 chairs.

8 0
3 years ago
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