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3 years ago

If you have a quarter of a pie and cut it in half, what fraction of a pie would each slice represent?

1 answer:

7 0

1/8; say you have one whole pie, cut into fourths, than take one fourth, or one quarter, and cut that in half, it's the same as if you cut the whole pie in half than cut those halfs in half, making quaters, than cutting them in half, making a pie thats cut in eights, each slice is 1/8, one eight

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A block of cheese has a volume of 189 cm3 and a mass of 150 g.

vesna_86 [32]

Answer:

0.79 g/cm3

Step-by-step explanation:

Divide the mass by the volume

4 0

3 years ago

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Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

3 years ago

What is the root 81/289 1/2 9/17 -1/2 -9/17

Usimov [2.4K]

Divide 81/289 and see the decimals value
then check each answer choice and the one with the same decimals value as your question is your answer

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3 years ago

Sean is paid 10.75 per hour . He work 30 hours last week . Find his gross pay

jenyasd209 [6]

He got payed 322.50 last week

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4 years ago

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Write about a real-world situation that can be solved using a two-step equation. Then write the question and solve the problem

givi [52]

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3 years ago