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Sergeeva-Olga [200]
2 years ago
9

READ THE PROBLEM WITH UNDERSTANDING AND SHOW THE SOLUTION

Mathematics
1 answer:
liq [111]2 years ago
7 0

Answer:

Step-by-step explanation:

1)  the equation would be:

(2x+4)x(5x+1) because if the amount of ballpens are (2x+4) and the ballpens are $(5x+1) each, you would multiply them.

this is the expanded version of (2x+4)(5x+1)
{10x^2 + 2x + 20x + 4

10x^2 + 22x + 4}


2) (x^2 +1)(x+2) are multiplied to find the volume of the box

So when expanded it looks like this:

{x^3 + 2x^2 + x + 2}


3) (15a^2b^3) would be multiplied with (2a). This is because to find the total you would times the numbers.
so when expanded:

(15a^2b^3)(2a)

{(15a^3)(2ab^3)}


4) 5X(x+8)=33

5x+40=33

5x=33-40

5x=-7

X= -7/5


5) x-8=8x

8x-x = -8

7x=-8

X=-8/7


Hope this helps :)

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Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

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The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

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l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
At midnight, the temperatures is -4 degrees Celsius. At noon, the temperature is 20 degrees Celsius. By how many more degrees Ce
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3 years ago
Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The
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The speed of one car is 'S'.  The speed of the other car is (S + 10).

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Since they're going in opposite directions, the distance between them at any time
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500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>
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