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3 years ago

Calculate the unit rate. Label your work properly. Show your fraction work.

Mathematics

2 answers:

likoan [24]3 years ago

5 0

Answer:

(9/10) of a pizza per hour.

Step-by-step explanation:

(3/4)*4=3

(5/6)*4= 3hr 20 mins

[3 (1/3)] / [3 (1/3)]=1

3 / [3 (1/3)]= 0.9

yawa3891 [41]3 years ago

4 0

3/4. 5/6 hr
x. 1hr
x=3/4 •1 ÷ 5/6
x=3/4 • 6/5
x=18/20
x=9/10
Rate is 9/10 of pizza in one hour

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determine if the ordered pair is a solution of the equation is (2 4) a solution of y = -3× - 2? true or false

vesna_86 [32]

Answer:

False

Step-by-step explanation:

y = -3× - 2

4 = -3(2) - 2

4 = -6 - 2

4 = -8

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3 years ago

Please help explain good luck

Tcecarenko [31]

Answer:

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

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3 years ago

Read 2 more answers

4 ( 2x-2 ) +2 = 4 ( x- 2 )

IRINA_888 [86]

Answer:

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

Step-by-step explanation:

$4(2x-2)+2=4(x-2)$

First, let's go over the <em>distributive property </em>in math. When you have any expression within a parenthesis being multiplied by any expression outside a parenthesis, you are distributing the values outside onto the values inside, like so:
$a(b+c)$ ⇒ $ab+ac$
Hopefully this helps you break down how distribution works, but if you're still having trouble comprehending it, looking at examples will help. Now, back to the problem. Let's try this idea of distribution on the left side of the equation.

$4(2x-2)+2=4(x-2)\\((4)2x-(4)2)+2=4(x-2)\\(8x-8)+2=4(x-2)$

Hopefully you could follow this math, but if not, there are plenty of materials online and in books on this. Be sure to look at those if you still have trouble.
Now that we have done all the multiplication we can on the left side and only addition and subtraction remain, we can get rid of the parentheses.

$(8x-8)+2=4(x-2)\\8x-8+2=4(x-2)\\8x-6=4(x-2)$

Now let's do distribution for the other side as well. Doing this will help us easily isolate $x$ on one side after.

$8x-6=4(x-2)\\8x-6=((4)x-(4)2)\\8x-6=4x-8$

Now, using addition and subtraction, let's move all our $x$ values to one side of our equation and all other values to the other. It doesn't matter which side you choose.

$8x-6=4x-8\\4x=-2\\\frac{4x}{4}=\frac{-2}{4}$

In case you're confused by the last step there, what I did was divide both sides by the coefficient in front of our $x$ values. This will cancel the coefficient out and leave us with our solution.

$\frac{4x}{4}=\frac{-2}{4}\\x=\frac{-1}{2}=-\frac{1}{2}$

The fraction $\frac{-2}{4}$ is technically correct, but it isn't simplified. $\frac{-2}{4}$ can be simplified to $-\frac{1}{2}$ , so $-\frac{1}{2}$ is our final answer.