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Alex Ar [27]
4 years ago
7

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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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

so

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

Marc is half as old as Tony

so

x=\frac{y}{2}

y=2x ----> equation B

Marc is three times as old as Ben

so

x=3z

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

substitute equation B and equation C in equation A

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

solve for x

\frac{10x}{3}=40

x=40(3)/10\\x=12\ years

therefore

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.

7 0
4 years ago
17 feet in 4 minutes<br><br>pls hurry
IrinaK [193]

Answer:

4.25

Step-by-step explanation:

17/4

= 4.25


I hope it helps! Have a great day!

Muffin ^^

8 0
2 years ago
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