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3 years ago

Eight times the difference of a number and seventeen is thirty"?

1 answer:

5 0

"The number" is first, do an example, to find out how, like pick any number under 17. Let's do 14. Their difference is 3. 8*3=24. that;s not quite 30. We have to find a number to equal 30, let's pick 15 and 17. Their difference is 2. 2*8=16. Not quite. Now, check the multiplication table for 8. Do any of them equal 30? No. So now you can see that the answer is going to have a decimal place. Divide 30 by 8. That equals to 3.75. Now do 17 minus 3.75. That is 13.25. The difference between 13.25 and 17 is 3.25. Now, do 8*3.75. That is 26. Oops. I am not in high school, but keep going like that and YOU'LL FIND IT! I BELIEVE IN YOU!

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sukhopar [10]

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3 years ago

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Which of the following is the quotient of the rational expressions shown here?

svetoff [14.1K]

For this case we must find the quotient of the following expression:

$\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}$

Applying double C we have the following expression:

$\frac {x (x + 1)} {x-1} =$

Applying distributive property to the terms within the parentheses of the numerator we have:

$\frac {x ^ 2 + x} {x-1}$

Thus, the quotient is given by option A

Answer:

Option A

3 0

2 years ago

Read 2 more answers

What is the volume of the prism?

GREYUIT [131]

let's firstly conver the mixed fractions to improper fractions and then get their product.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{2}\cdot \cfrac{5}{2}\cdot 6\implies \cfrac{270}{2}\implies 135$

hmmm I take it that one can write that mixed as $135\frac{0}{2}$ .

is valid, not that it makes any sense.

5 0

2 years ago

What is the solution to the equation x + 7.5 = 21.5? A.x = 2.9 B.x = 7.8 C.x = 14 D.x = 29

dedylja [7]

X+7.5=21.5
Subtract 7.5 from both sides
X=14 which is C
hope this helps good luck have a nice day

8 0

2 years ago

Read 2 more answers

HELP PLEASE someone its importent

elena-s [515]

Answer:

Step-by-step explanation:

Expression on the board :

$12.2x + 50.6 y + 3(1.4x - 2.6y)\\\\= 12.2x + 50.6y + 4.2x - 7.8y\\\\= 16.4x + 42.8y$

Expression by the student :

Expression 1 :

$4 ( 4.1x + 10.7 y ) \\\\= ( 4 \times 4.1x ) + ( 4 \times 10.7 y)\\\\= 16.4x + 42.8y\\\\$

The expression 1 is equivalent to the expression on the board. Because the coefficients of x and y are same on both.

Expression 2 :

$2 ( 6.1x + 25.3 y + 2.1x -3.9y)\\\\= 2 ( 8.2x + 21.4y)\\\\=( 2 \times 8.2x ) + (2 \times 21.4y)\\\\= 16.4x + 42.8y$

The expression 2 is also equivalent to the expression on the board. Because the coefficients of x and y are the same.

5 0

2 years ago