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1 year ago

Solve the equation. Round answers to the nearest hundredth when necessary. 4x^2 = 100

1 answer:

8 0

To solve 4(x-2)^2 = 16
divide each side by 4 to have (x-2)^2 = 4
take the square root of both sides
x-2 = -2 or x-2 = 2
add 2 to each side
x = 0 or x = 4
4 ( 0-2)^2 = 16
4 (-2)^2 = 16
4 (4) = 16 true
4 ( 4-2)^2 = 16
4 (2)^2 = 16
4 (4) = 16 true.
the values for x are 0 and 4.

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Convert €85.10 to pounds. Give your answer rounded to 2 DP.

lbvjy [14]

Answer:

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Step-by-step explanation:

Has not been rounded

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4 years ago

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4 years ago

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3 years ago

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

$x= \frac{2}{3}$

Hence, the number is $\frac{2}{3}$

7 0

4 years ago

Molly is baking oatmeal raisin cookies and chocolate chip cookies. She has no more than 10 cups of flour. A batch of oatmeal rai

IrinaVladis [17]

Answer:

d. 3/2r+2c ≤ 10

Step-by-step explanation:

The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...

3/2r

The amount of flour Molly needs for c batches of chocolate chip cookies is ...

The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...

3/2r + 2c ≤ 10

_____

Comment on the question

The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as f ≤ 10.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.

3 0

3 years ago