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sweet-ann [11.9K]
3 years ago
8

Estimate 416x9 then find thw product

Mathematics
1 answer:
Alla [95]3 years ago
4 0
3771,
Estimate: Calculate
Product: Answer
416 x 9 = 3771.
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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
Plz help 7(4x - 3) = 4x
Vika [28.1K]

Answer:

x= 7/ 8 is the answer

If you wanted to simplify

5 0
3 years ago
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PLEASE HELP WILL MARK BRAINLIEST
ANTONII [103]

Answer:

8 lb of flounder at $2.50/lb

4 lb of shrimp at $5.00/lb

Step-by-step explanation:

Let A be the pounds of shrimp

Let B be the pounds of flounder

Let C be the cost per pound of flounder

A + B = 12

A = 12 - B

        BC = 20

    A(2C) = 20

BC =  A(2C)

BC =  (12 - B)(2C)

BC =  24C - 2BC

3BC =  24C

  3B =  24

    B = 8 lb

A + 8 = 12

    A = 4 lb

5 0
3 years ago
A card is selected at random from a deck of 52 playing cards, the probability that a face card selected is ______________
ratelena [41]

Answer:

A

Step-by-step explanation:

There are 12 face cards in a deck out of 52, so 12/52 would be the probability

hope this helps :)

7 0
3 years ago
Maria has a cube shaped box that measures 9 inches along each edge. Can she fit 1,000 square-inch cubes inside the box?
astra-53 [7]
No, the volume would be 9(9)(9), which is only 729 cubes
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