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Free_Kalibri [48]
3 years ago
15

HELP!!!! Choose the correct answer. Which expression, when evaluated,

Mathematics
1 answer:
blagie [28]3 years ago
8 0

We will check each options and verify it

(a)

18-2m

we can plug m=2

18-2\times 2

18-4

14

so, this is FALSE

(b)

7x-\frac{x}{3} >19

we can plug x=3

7\times 3-\frac{3}{3} >19

21-1 >19

20 >19

so, this is TRUE

(c)

6x-1>4x+5

we can plug x=3

6\times 3-1>4\times 3+5

18-1>12+5

17>17

so, this is FALSE

(d)

2x^2-3x+1

now, we can plug x=2

2(2)^2-3(2)+1

8-6+1

3

So, this is FALSE

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Answer: A

Step-by-step explanation:

  • Open circle means that x does not equal that number. For example, the open circle on C is on 8, so that shows x is not equal to 8.
  • Closed circle means that x does equal that number. For example on A, there is a closed circle on 8, so x could equal 8.

First, we need to solve the equation.

  1. Subtract 200 frim 1200 -> 125x ≥ 1000.
  2. Divide 125 from 1000 to isolate the x -> x ≥ 8

So, that means x is bigger than or equal to 8.

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If y varies inversely to x and y=9 when x=-6 find x when y=3
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Answer: y =21

Step-by-step explanati

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Which expression simplifies to 5√3?<br> OA. √30<br> OB. 45<br> OC. √75<br> OD. 15<br> Re
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Option C

Let's see how

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Verified

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Question 1: An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You buy an
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Answer:

10 + m  ≥ 30

You must spend AT MOST $20 or more

Step-by-step explanation:

Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be  ≥ or the inequality will not be true.

10 + m  ≥ 30

10 - 10 + m  ≥ 30 - 10     ( subtract 10 from each side to isolate m)

m  ≥ 20     ( we are left with this )

The answer is :

m  ≥ 20

You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D

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3 years ago
Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
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Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

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