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3 years ago

if 1/2 a lemon will make1/3 of a gallon of lemonade, how many lemons will it take to make a full gallon of lemonade?

Mathematics

2 answers:

AnnyKZ [126]3 years ago

5 0

1/2 = 1/3g
x = 1g
1/2*3 = x
Therefore, it will take 3/2 or 1.5 or 1 1/2 lemons.

mihalych1998 [28]3 years ago

3 0

It will take 1 1/2 lemons to make a full gallon, how I got my answer.

I multiplied 1/2×3=1 1/2 because it takes 3/3 to make a full gallon.

I hope this helps.

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The cost of renting roller blades is $4 plus $3.50 for each hour that the roller blades are rented. Write an expression to repre

Pavel [41]

Answer:

The expression is equal to $3.50h+4$

Step-by-step explanation:

Let

x ----> the number of hours that the roller blades are rented

y ----> the cost of renting roller blades in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope is equal to

$m=\$3.50\ per\ hour$

The y-intercept is equal to

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substitute

$y=3.50x+4$

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$y=3.50h+4$

3 0

3 years ago

Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product

AlladinOne [14]

(a) 95 = (x+7)*(x-7)

(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
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7 0

3 years ago

Solve the inequality <br> 5x+2 < 32

AnnyKZ [126]

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x

30 ÷ 5 = 6

The solution to your inequality is:

x ‹ 6

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