2.
Factor the common factor out of each expression. Hint, divide the first one by -8.:
a. - 32x - 40
whats the first step

Answer:

14=7(2x-4)

0r, 14/7 = 2x-4

or, 2= 2x-4

0r,2x= 6

or x=3

14=7(2x-4)

14=14x -28

14x=42

x=42/14=3

Method 1

Divide both sides by 7 first to get

14 = 7(2x-4)

14/7 = 7(2x-4)/7

2 = 2x-4

Then add 4 to both sides

2+4 = 2x-4+4

6 = 2x

2x = 6

Finally, divide both sides by 2

2x/2 = 6/2

x = 3

which is the final answer

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Method 2

Distribute the 7 through to each term in the parenthesis

14 = 7(2x-4)

14 = 7*2x + 7*(-4)

14 = 14x - 28

Then we follow similar steps as done earlier. Add 28 to both sides

14+28 = 14x-28+28

42 = 14x

14x = 42

Then divide both sides by 14 to fully isolate x

14x/14 = 42/14

x = 3

Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.

The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.

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Checking the answer:

Plug x = 3 into the original equation. Simplify to get

14 = 7(2x-4)

14 = 7(2*3-4)

14 = 7(6-4)

14 = 7*2

14 = 14

This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.

Answer:

pit it on -4 because your reflecting it on x

Answer: 4

Step-by-step explanation:

Mean means to add up the values and divide it by the number of values there is so 9 + 1 + 8 + 3 + 2 + 1 = 24, then 24 / 6 is 4.

Answer:

The closest answer is 12.

Step-by-step explanation:

Since 12 multiplied by 35 is 420, it is the closest answer. 16.5 seconds is too much. 335 seconds is WAY too much to reach 407 meters. 8.15 seconds is too little. It is at least half of how much you want it to move.

Answer:

D. X = 7

Step-by-step explanation:

See image for explanation

Answer:

1,700 MG

Step-by-step explanation:

1, 360 / 2 = 40% of the daily amount since 20% is taken from the beans.

1360 / 2 = 680

680 (40%) / 2 = 340, which is 20%.

Then, add 20% (340) to 1, 360, which gives the full percentage.

Answer:

f(−1) = ✔ 2

f(1) = ✔ 6

f(2) = ✔ 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

If John's teacher bought three 64 ounce bottles of soda for a class party, the total weight of the soda bought will be 3*64 = 192 ounces of soda.

If 1/6 of the soda remained after the party, the amount of ounces that remained is expressed as;

amount of ounces that remained  = 1/6 * 192

amount of ounces that remained = 32 ounce

Hence amount of ounces that remained is 32 ounces

Hope it helped

Answer:

There is no decimal point, therefore, nothing to round.

Answer:

20 m

Step-by-step explanation:

The area of a triangle is 120 sq m

The length is 60 m

We are required to find the breadth

Therefore to find the breadth of the traingle the formular below will be applied

Area= length × breadth

120= 60 × breadth

Breadth= 120/60

= 20 m

Hence the breadth of the traingle is 20 m

Answer:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Step-by-step explanation:

These are the steps to copying an angle

I hope this helps you :)

Answer:

make a point p

hope this helps

Answer: A

Step-by-step explanation:

When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be [tex]\frac{1}{3}[/tex]. If it were to be [tex]\frac{1}{3}[/tex], the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be [tex]125^{\frac{1}{3}x }[/tex].

Answer:

The nuclear utility environment is one of strict cost control under prescriptive regulations and increasing public scrutiny. This paper presents the results of A Total Quality approach, by a dedicated team, that addresses the need for increased on-site spent fuel storage in this environment. Innovations to spent fuel pool reracking, driven by utilities' specific technical needs and shrinking budgets, have resulted in both product improvements and lower prices. A Total Quality approach to the entire turnkey project is taken, thereby creating synergism and process efficiency in each of the major phases of the project: design and analysis, licensing, fabrication, installation and disposal. Specific technical advances and the proven quality of the team members minimizes risk to the utility and its shareholders and provides a complete, cost effective service. Proper evaluation of spent fuel storage methods and vendors requires a full understanding of currently available customer driven initiatives that reduce cost while improving quality. In all phases of a spent fuel reracking project, from new rack design and analysis through old rack disposal, the integration of diverse experts, at all levels and throughout all phases of a reracking project, better serves utility needs. This Total Quality environment in conjunction with many technical improvements results in a higher quality product at a lower cost

The prediction of minor actinides amounts accumulated in the spent fuel in China

International Nuclear Information System (INIS)

Zhou Peide

2000-01-01

The amounts of the Minor Actinides accumulated in the spent fuel are predicted according to the Nuclear Power Plant development plan envisaged in China. The Minor Actinides generated in the spent fuel unloaded from a typical PWR per year are calculated. The decay characteristics of the Minor Actinides during storage and cooling period are also calculated. At last, the Minor Actinides amounts accumulated in all spent fuel which were unloaded before sometime are given

Answer:

-9t

Step-by-step explanation:

(r-s) 3 × t × r

(-3- -4) 3 × t × -3

3 × t × -3

-9t

[tex]\text {Hi! Let's Solve this Problem!}[/tex]

[tex]\text {So the problem we have here is 3/28*8}[/tex]

[tex]\text {We see that 8 is by itself. So we add a 1 underneath 8.}[/tex][tex]\text {So 8 is the numerator and 1 is the denominator.}[/tex]

[tex]\text {Now we Multiply:}[/tex]

[tex]\text {3*8=24}\\\text {20*1=20}[/tex]

[tex]\text {Your answer would be:}[/tex]

[tex]\fbox {24/20}[/tex]

[tex]\text {You can Simplify that by dividing 4 which gets you}[/tex]

[tex]\fbox {6/5}[/tex]

[tex]\text {Now we convert that Improper Fraction to a Mixed Number}[/tex]

[tex]\text {Your final answer would be:}[/tex]

[tex]\fbox{1 1/5}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

-7n - .9

Step-by-step explanation:

By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.

Answer:

eg;-3302/1000

Step-by-step explanation:

no because it can be written in p/q form

Answer:

-19

Step-by-step explanation:

Think of it this way, Lets say you have 25 dollars in debt right? and you add 6 dollars to the area where there was debt. how much are you in debt now? 19 dollars still in Debt.

Answer:

I think it is 4.5/6.5

Step-by-step explanation:

Answer:

48 items

Step-by-step explanation:

6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48

Answer:

48

Step-by-step explanation:

Answer:

360 feet.

Step-by-step explanation:

Let x = length, then the width is 4x/9 feet.

So we have the equation:

x * 4x/9 = 57600

4x^2 / 9 = 57600

4x^2 = 57600 * 9

x^2 = 57600 * 9 / 4

x = √57600 * 3 / 2

x = 240* 3/2

x = 360 feet.

Answer: It is A

Step-by-step explanation:

In the given figure D) DC/BC has the same ratio as AB/BC.

The interior angle bisector theorem states that in a triangle the angle bisector of an angle divides the opposite side to the angle in the ratio of the remaining two sides.

In ΔABC m∠A = 28° and the ratio is taken for the sides which is opposite to the given angle BC and the side which not base AB.

Given the ratio AB/BC.

∴ In ΔBCD in which m∠B is also 28° we have to take the same sides opposite side is DC and the side which is not the base BC.

So, in the triangles ABC and ABD The ratio which has the same value as AB/BC is BC/DC.

learn more about the exterior angle theorem of a triangle here :

https://brainly.com/question/18806624

#SPJ2

Answer:

Simplify the expression.

Exact Form:

37/40

Decimal Form:

0.925

Step-by-step explanation:

The value of (27/8)-2/3 is..

Exact Form: 65/24

Decimal Form: 2.7083...…

Mixed Number Form: 2 17/24

Answer: 65/24 decimal form: 2.7

Step-by-step explanation: (27/8)-2/3

(3^3/2^3)-2/3

3(3^)+8(-2)/2^3.3