3 years ago

If 6 people share 1/2 of a cake, how much of the whole cake will each person get? Show your work.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

1/12 for each person

Step-by-step explanation:

draw a cake then cut it in half then make sure each side has six

then count all the total then each person gets 1 piece of the cake

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Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many

prisoha [69]

divide total ounces by the amount each cup can hold

678 / 8 = 84.75

so they can fill 84 cups

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Step-by-step explanation:

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3 years ago

Which expression is equivalent to (8a-3b+7)-(2a+b-4)?

pogonyaev

8a-3b+7-2a-b+4=6a-4b+11

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3 years ago

Determine whether each pair of functions are inverse functions. 1) f(x) = 8x – 10, g(x) = (x + 10) 2) f(x) = 4x + 5, g(x) = 4x –

Y_Kistochka [10]

Answer:

Step-by-step explanation:

To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.

So I'll do the first one.

f(x) = 8x-10

y=8x-10 Now switch x and y

x = 8y-10 Now solve for y.

x+10=8y

(x+10)/8 = y

g(x) is not that, so it is not the inverse. Can you figure out the second one?

6 0

3 years ago

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If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?

ivolga24 [154]

Answer:

- $\sqrt{5}$

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

One answer with positive square root
One answer with negative square root

For example, for the equation:

$x^{2}=3$

If we take the square root of both sides, the answers will be:

$x=\sqrt{3} \text{ or } x= -\sqrt{3}$

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and $\sqrt{5}$ . Therefore, the 3rd root of the polynomial function f(x) had to be - $\sqrt{5}$

It seems you made error while writing option B, it should be - square root of 5.

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3 years ago