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miss Akunina [59]

2 years ago

12

WILL MAEK BRAINLIST A shop has 20 pens. 12 of them are red. What percent of them are red?

1 answer:

dlinn [17]2 years ago

4 0

Answer:

12/20×100percent

=12×5percent

=60percent answer

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the large Square above has area 9 is divided into 9 smaller squares of equal area what is the length of how strong and bold

Kay [80]

If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
9x^2 = 9
x^2 = 1
x = 1
therefore the smaller squares have sides of 1 unit

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3 years ago

Billy Bob made 16 quarts of lemon juice. How many liters of lemon juice did Billy Bob make?

pav-90 [236]

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15.14

Step-by-step explanation:

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2 years ago

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L(-5,-6) and M (3,8)<br>

leonid [27]

Answer:

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Step-by-step explanation:

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3 years ago

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Translate the following statement into an equation and solve for y: "y divided by 27 is-18."

Yanka [14]

Answer:

$y= -486$

Step-by-step explanation:

We first translate the statement into an equation:

$\frac{y}{27}=-18$

Then we simplify:

$y= -486$

8 0

2 years ago

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The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

2 years ago