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4 years ago

Simplify the following expression: -8 (5b + 2) -7 ( b-5)

Mathematics

2 answers:

loris [4]4 years ago

5 0

-47b + 19 would be your answer

RUDIKE [14]4 years ago

3 0

Answer:

-8(5b+2)-7(b-5)

first, use distributive property to get:

-40b-16-7b+35

then, use combine like terms to simplify:

-47b+19

that's your answer!

:)))))))))

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Factoring a polynomial is essentially dividing.

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3 years ago

Marc is half as old as Tony and three times as old as Ben. If the sum of their ages is 40, how old is Marc?

Murljashka [212]

Answer:

Marc's age is 12

Step-by-step explanation:

Let

x ----> Marc's age

y ---> Tony's age

z ---> Ben's age

we know that

the sum of their ages is 40

$x+y+z=40$ -----> equation A

Marc is half as old as Tony

$x=\frac{y}{2}$

$y=2x$ ----> equation B

Marc is three times as old as Ben

$x=3z$

$z=\frac{x}{3}$ ----> equation C

substitute equation B and equation C in equation A

$x+2x+\frac{x}{3}=40$

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Marc's age is 12

3 0

3 years ago

A chemist has 200 mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The percent concentration, y, of the fi

user100 [1]

Answer:

The chemist needs to add 400mL of 40% solution.

Step-by-step explanation:

The equation

$y=\frac{0.1(200)+0.4x}{200+x} *100$

gives the percent concentration $y$ of the final mixture, when $x$ mL of the 40% solution are added.

Now we are asked, how many milliliters $x$ of the 40% solution should the chemist add to get final percent concentration $y=30$ ; this is just a matter of solving the equation

$30=\frac{0.1(200)+0.4x}{200+x} *100$

and we solve it the following way:

$30=\frac{0.1(200)+0.4x}{200+x} *100\\\\0.3 =\frac{0.1(200)+0.4x}{200+x}\\\\0.3(200+x)=0.1(200)+0.4x\\\\60+0.3x=20+0.4x\\\\40=0.1x\\\\x=\frac{40}{0.1} \\\\\boxed{x=400\:mL}$

Thus, the chemist needs 400mL of 40% solution to get 30% concentration of the final mixture.

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4 years ago

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IrinaK [193]

Answer:

4.25

Step-by-step explanation:

17/4

= 4.25

I hope it helps! Have a great day!

Muffin ^^

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