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3 years ago

8

Mika can eat 21 hot dogs in 66 minutes. She wants to know how many minutes it would take her to eat 35 hot dogs if she can keep

up the same pace.

1 answer:

Ierofanga [76]2 years ago

6 0

Answer:

110 minutes

Step-by-step explanation:

66÷21=3.14

35×3.14=110

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2 years ago

Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =

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Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:

f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.

Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).

Then -0 + 0 - 0 + c = 18, so c = 18 and

f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.

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3 years ago

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3 years ago

There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

<u>1) Translate the information into equations</u>

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

<u>2) Use substitution to solve for the smaller number</u>

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

<u>3) Use substitution to solve for the greater number</u>

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

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3 years ago