3 years ago

Write the comparison as a ratio in the simplest form using a colon. 8 pounds to 10 pounds .

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

4:5 . Divide by two to reduce it down .

pantera1 [17]3 years ago

3 0

Answer:

4:5

Step by step explanation:

~ 8:10, we need to find the gcf of these numbers which would be 2.

~ Now we will divide 8:10 by 2 which should give you 4:5

~ And that’s how you do it

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Limit of x^2-81/x+9<br> As x goes toward -9

Semmy [17]

Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18

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Sarah used 3/4 pound of blueberries to make 1/2cup of jam. How many pounds would she need to make 1 cup of jam

topjm [15]

Sarah will need 1/4 cup of blueberries to make a cup of jam.

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