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3 years ago

Distributing the - sign outside the parentheses -(6y-9.6z+3)

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

4 0

Answer:−6y+9.6z−3

Step-by-step explanation:−(6y−9.6z+3)

−6y+9.6z−3

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago

Determine which statements are true about the extrema of the graphed fourth degree polynomial. Select all that apply.

dusya [7]

C and D are the answers

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3 years ago

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The hourly wage of workers was raised from $11.50 to 13.67 in 7 years

neonofarm [45]

Answer:

$13.67 - $11.50

So the raise over 7 years was $2.17

So to find the annual raise in the wage:

$2.17 / 7 = 0.31

His wage was raised .31 every year.

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3 years ago

The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store

tangare [24]

Answer: $d(x)=-750x^2-3750x-10500$

Step-by-step explanation:

Given: The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store, in dollars, where x represents the number of months from September.

$d(x)=-750(x^2-5x-14)$

To rewrite this hat reveals the store's opening inventory of down comforters in the month of September, multiply -750 on the bracket, we get

$d(x)=-750x^2-3750x-10500$

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3 years ago

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Find Sin A, Cos A, and Tan A given the following triangle.

Solnce55 [7]

Answer:

Step-by-step explanation:

sin A=(opposite side)/hypotenuse=a/c

cos A=(adjacent side)/hypotenuse=b/c

tan A=(opposite side)/(adjacent side)=a/b

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3 years ago