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3 years ago

Simplify the expression. 4x^10y^-3/12x^-2y

Mathematics

1 answer:

pogonyaev3 years ago

6 0

Answer:

x^8/3y^2

Step-by-step explanation:

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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

2 years ago

Please help me create a function Correct answer gets brainiest :)

slega [8]

Let y be Justin base pay, w% be commission,
y + w%*600=350-----(1)
y+w%*900= 425-----(2)
From equation (1),
y = 350- w%*600 = 350-6w-------(3)
Substitute equation (3) into (2),
350-6w+9w=425
3w = 425-350= 75
w= 25
y = 350-6w= 350-6(25)= 200
so the function is base pay +25%of merchandise
Final answer is $ (200 + 0.25x)

4 0

2 years ago

Write a linear equation for a line that passes through point(2, 3) with a slope of 1/2

aalyn [17]

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = 1/2x + b

3 = 1/2(2) + b

3 = 1 + b

2 = b

8 0

2 years ago

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

leva [86]

Let x= number of board games
20x=10410+2.65x 
-2.65 -2.65 
17.35x=10410 
/17.35 /17.35 
x=600 
You would need to sell at least 600 board games to break even

3 0

2 years ago

CHOOSE, see the attachment Help me PLZZ. It's urgent.

Sergeu [11.5K]

Answer:

f)-2

thats the right answer

I am sure

hope it helps

4 0

2 years ago