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3 years ago

What value of x is in the solution set of 3(x-4)greater than or equal to 5x+2

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

3(x-4)>= 5x+2

Distributing 3 on x-4

3(x)-3(4)>=5x+2

3x-12>=5x+2

Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides

-2x >=14

Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is

x<=-7

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Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. T

kirill115 [55]

I can only half answer this question, as it doesn't tell what form of distance is used

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g
d=15(1)
d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

Answer:The constant of proportionality is 15.

4 0

3 years ago

Use a calculator to find the standard deviation of this data set:

Rashid [163]

Answer:

3.5

Hope this helps!

4 0

2 years ago

Read 2 more answers

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respecctively. After Kaye gave Alberto 10 of her stamps

masha68 [24]

Answer: The correct option is

(D) 60.

Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.

We are to find the number of stamps that Kaye had more than Alberto.

Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.

Then, according to the given information, we have

$(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.$

So, the number of stamps that Kaye had = 5 × 30 = 150

and

the number of stamps that Alberto had = 3 × 30 = 90.

Therefore, the number of stamps that Kaye had more than Alberto is

$150-90=60.$

Thus, Kaye had 60 stamps more than Alberto.

Option (D) is CORRECT.

7 0

3 years ago

Is 2x-4x = -7x+10 a no solution? infinite solution? or one solution?

nikitadnepr [17]

Answer:

One solution, x = 4.

Step-by-step explanation:

2x-4x = -7x+10

-2x = -7x + 10

7x - 2x = 10

5x = 10

x = 2.

6 0

3 years ago

Urgent answer please!!! :)

Zepler [3.9K]

Answer:

a and b are relative on maxima interval x =-4,x=0

5 0

3 years ago