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Grace [21]
3 years ago
6

2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters

of each solution should the chemist use? Write your answer as a complete sentence Be sure to: (a) Define your variable and expressions for the quantities. (b) Write an equation that models the problem. (c) Solve the equation. (d) State the answer in a complete sentence Please help and explain
Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
( * = multiplication/multiply/times ) 
Let x - liters of 10% acid solution needed
4-x = liters of 4% acid solution needed

.1x + .04*(4-x)
-------------------- = .07
           4

.1x + .04*(4-x) = 4*.07
.1x + .16 - .04x = .28
.06x = .12
x=2
4-x=2

2 liters of 10% acid solution are needed
2 liters of 4% acid solution are needed

If you're still uncertain, we can check our work as so: 

.1x + .04*(4-x)
--------------------- = .07
            4

.1 * 2 + .04 * (4-2)
------------------------ = .07
             4

.2 + .08
------------ = .07
     4

.28 = .07 * 4
.28 = .28 

Hope I helped. 
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3 years ago
The sum of three consecutive even numbers is 54 . find the numbers . ​
victus00 [196]
<h3>Answer :- </h3>

  • Let the three consecutive numbers be x -2 , x and x + 2
  • Their sum = ( x - 2 ) + ( x + 2 ) = 3x
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  • 3x = 54 or x = 54/3
  • x = 18

<em>Thus </em><em>,</em><em> </em><em>the </em><em>required </em><em>numbers </em><em>are </em><em>1</em><em>6</em><em> </em><em>,</em><em> </em><em>1</em><em>8</em><em> </em><em>,</em><em> </em><em>2</em><em>0</em><em> </em>

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2 years ago
Based on the triangle given, determine the trig ratio of the cos 0
likoan [24]

Answer:

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Step-by-step explanation:

Since this is a right triangle

Cos theta = opp side/ hypotenuse

Cos theta = 8/10

cos theta = 4/5

4 0
3 years ago
PLS HELP I NEED HELP NOW<br> I BEG
stepan [7]
Hello there! The area of the triangle portion is 11 square units, the area of the rectangle portion is 77 square units, and the area of the entire figure is 88 square units.

To find the area of the triangle, we can follow the formula:

A = LW/2 (which means length x width divided by 2)

Given the formula:

2 • 11 = 22

22 divided by 2 gives us 11 square units.

To find the area of the rectangle portion, we can follow the area formula:

A = LW (which means area = length x width)

Given the formula:

7 • 11 = 77 square units

To find the area of the whole figure, we add the areas of both isolated shapes:

11 + 77 = 88 square units.

Therefore, our area for the entire figure is 88 square units. If you need any extra help, let me know and I will gladly assist you.
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1 year ago
Is 6.64x10-²³ greater than 6.65x10-²⁴​
hram777 [196]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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