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yanalaym [24]
3 years ago
11

Solve for x:  (x − 2) = 4x. (1 point)​

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Steps:

(x-2)=4x

Pretend that there is a one in front of x-2

1(x-2)=4x

Multiply the bracket by 1

x-2=4x

Move x to the other side .Whenever you move a number or letter the sign changes.

x-x-2=4x-x

-2=3x

Divide by 3 for -2 and 3

-2/3=3/3 x

x=-2/3

Check answer by using substitution method

(-2/3-2)=4(-2/3)

(-2/3-6/3)=-8/3

-8/3=-8/3

Answer is -2/3

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The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and
seropon [69]

Answer:

The maximum profit is reached with 4 deluxe units and 6 economy units.

Step-by-step explanation:

This is a linear programming problem.

We have to optimize a function (maximize profits). This function is given by:

P=98D+72E

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: 3D+2E\leq24

- Paint hours: 0.5D+1E\leq8

Also, both quantities have to be positive:

D\geq 0\\\\E\geq0

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

(8;0) \rightarrow  P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824

The maximum profit is reached with 4 deluxe units and 6 economy units.

4 0
3 years ago
12. The net for a right
aivan3 [116]

Answer:

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7 0
3 years ago
15 out of 25 students play video games. what percnt play video games
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Answer:

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4 0
3 years ago
Read 2 more answers
Write the integers -7, 4, -2 and 5 in order from least to greatest. Explain how you decided.
Dafna11 [192]

Answer:

-7, -2, 4, 5

Step-by-step explanation:

Integers with a dash in the front of them signify a negative. With negative numbers, the higher the value of the accompanying number, the lower value it has as a negative number, so, of course the negative integers would go from the "least" end of the spectrum. Because 7 has a higher positive value than 2, it has a lower negative value, putting -7 on the lower end, following it with the -2. As 5 has a higher positive value than 4, 5 is put on the highest end on the spectrum, with 4 right behind it. With all of these integers settled, we can organize the numbers in the order of -7, then -2, then 4, then 5.

6 0
3 years ago
Read 2 more answers
What is 4p-p+8=2p-5.
pogonyaev

Answer:

p= -13

Step-by-step explanation:

First step to this equation is to add(or subtract) the variables.

4p-p= 3p

3p+8= 2p-5

Then, you have to move the variable to one side.

3p+8= 2p-5

-2p      -2p

Now that you have done this, subtract 8 to both sides.

1p+8= -5

   -8   -8

Since a negative minus a negative equals a negative, -5-8= -13.

1p= -13

Divide to both sides by 1.

<u>1p</u>= <u>-13</u>

1       1

p= -13

5 0
3 years ago
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