Please help asapp it's for a test

Mike drank more than half the juice in his glass. what fraction of the juice could Mike have drunk?

maxonik [38]

He drank more than half of his drink... So we need to look for fractions greater than 1/2.

First, lets find equivalents of 1/2

$\frac{1}{2}= \frac{2}{4} = \frac{3}{6}= \frac{4}{8}$

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.

2 +1 3
__= ___
4 4

3/4 is greater than 1/2

Mike could have drunken 3/4 of the juice

4/6>1/2 Mike could have drunken 4/6 of the juice

5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.

Answer=3/4, 4/6, 5/8 and many more possible fractions

4 0

3 years ago

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8% of a number is 20

Gnoma [55]

To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!

3 0

3 years ago

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago

1/2(8a+200b) Is the answer 4a+100b?

kaheart [24]

Answer:

you are correct it is, 4a+100b

Step-by-step explanation:

4 0

2 years ago

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Refer the homework helper what is the diffrence between the greatest green bean weight and the least green bean weight?

QveST [7]

Answer:

3/4 pounds

Step-by-step explanation:

Given the weights :

weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.

Greatest weight = 1 pound

Least weight = 1/4 pound

Difference = greatest weight - Least weight

Difference = (1 - 1/4) pound

Difference in weight = 3/4 pounds

6 0

3 years ago