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vodomira [7]
3 years ago
6

gary mixes a solution using two types of concentration of sale: .70 gallons of 5% and .30 gallons of 22% salt. what is the conce

ntration of the mixed solutions
Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

10.1%

Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

0.7 + 0.3 = 1

Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

x * 1 = 0.7 * 0.05 + 0.3 * 0.22

x = 0.035 + 0.066

x = 0.101

That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)

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A recipe calls for 2 1/2 cups of sugar. You have 2 2/3 cups of sugar. Do you have enough sugar? If not, how much more sugar is n
Karo-lina-s [1.5K]

The difference between the cups of sugar is 1/6, hence you have enough sugar.

<h3>Difference and sum of fractions</h3>

Fractions are written as a ratio of two integers, For instance, a/b is a fraction where a and b are integers.

According to the question, a recipe calls for 2 1/2 cups of sugar. If have 2 2/3 cups of sugar;

Difference of cups of sugar = 2 2/3 - 2 1/2

Convert to improper fraction

Difference = 8/3 -  5/2

Difference = 16-15/6

Difference = 1/6

Since the difference between the cups of sugar is 1/6, hence you have enough sugar.

Learn more on fraction here: brainly.com/question/17220365

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3 0
2 years ago
Which fraction represents the decimal 0.12<br> a) 1/12<br> b) 3/25<br> c) 4/33 <br> d ) 33/4
almond37 [142]

Answer:

The fraction that represents the decimal  0.12  is  3/25

Step-by-step explanation:

step 1: find the  place value  of the last digit in 0.12

Since they are 2 digits in 0.12 the   place  value  of last  digit is  the  100 th, therefore  0.12 is the same as  12/100

step 2: simplify 12/100  by dividing both the denominator and numerator  by 4

that is   <u>1</u><em><u>2 divide by 4   = 3  and 100 divide by 4  =25</u></em>

therefore  the fraction = 3/25


5 0
4 years ago
Read 2 more answers
What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!
Nutka1998 [239]

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

2x. = 4

Divide both sides by 2:

x. = 2

Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.

So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

5 0
3 years ago
Read 2 more answers
The variable Z is directly proportional to X. When X is 10, Z has the value 190.
irina [24]
Since z is proportion to the x
z = a x
190 = a 10
a = 19

when x = 13
z = a x
z = 19 * 13
z = 247
7 0
4 years ago
What is the least common<br> multiple of 15a² and 3a2?<br> 1.3a2<br> 2.3a3<br> 3.15a2<br> 4.15a3
AveGali [126]

Answer:

1. 3a2

Step-by-step explanation:

5 0
3 years ago
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