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creativ13 [48]
2 years ago
8

Find the value of X for both

Mathematics
1 answer:
love history [14]2 years ago
6 0

Answer:

1) 25

2) 20

Step-by-step explanation:

1)

Since these are vertical angles, they are congruent. Therefore, 3x=75, and x=25 degrees.

2)

Once again, these are vertical angles.

2+3x=62

3x=60

x=20 degrees

Hope this helps!

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Theresa Morgan a chemist has a 10% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each shou
prisoha [69]

<u>ANSWER: </u>

170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

<u>SOLUTION: </u>

First, set up a table. Fill in the unknowns with variables x and y. The table is attached below

From this, we can easily set up the two equations.  

Sum of values of two acids = Value of mixture  

0.1x + 0.65y = 1122  

For convenience, we'll multiply the entire equation by 100,

10x + 65y = 112200   ------ (1)  

Now, Sum of amounts of each acid = Amount of mixture  

x + y = 1870  ---------(2)

multiply (2) with 10 for easy calculation and derive the equation into one variable.

10x + 10y = 18700  

Subtracting equation (2) from (1),  

( + ) 10x + 65y = 112200

( − ) 10x + 10y = 18700

we get the solution as,

0 + 55y = 93500

Thus, 55y = 93500

y = 1700

Substituting y = 1700 in (2),

x + 1700 = 1870  

x  = 1870 - 1700  

x  = 170  

So, we have x = 170 and y = 1700

We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution  to obtain 1870 liters of 60% solution.

4 0
3 years ago
A recipe for cake needs ¾ of a cup of milk. You are making ½ of the recipe. How much milk do you need?
Bad White [126]
Multply across the fraction so
1/2 * 3/4= (1*3)/(2*4)=3\8
7 0
2 years ago
Read 2 more answers
What is 4.293 in expanded notation
fenix001 [56]
4 + 0.2 + 0.09 + 0.003
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Is -2.54 greater or less than -2 and 27/50
zloy xaker [14]
-2.54 is equal to -2 27/50
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Rational numbers with distribute property
Svetradugi [14.3K]

I'm not sure what this means. If you have choices you should list them.

(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.

1. Use the distributive property.

1/2*1/4 + 1/2* 1/6

1/8 + 1/12 Which can be added using the LCD of 24

3/24 + 2/24 = 5/24

Method 2

Add what is inside the brackets first.

1/2 ( 1/4 + 1/6)

1/2(3/12 + 2/12 = 5/12

Now multiply by 1/2

1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.

4 0
2 years ago
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