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saul85 [17]
3 years ago
7

When Richards solved the equation 2(x - 5) = 56 + 6(x - 5), he used the distributive property in step one to write an equivalent

equation. What equation did Richard write?
Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

The equivalent equation after applying distributive property will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)

Further explanation:

Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.

a(b+c) = a*b + a*c

So the given equation is:

2(x - 5) = 56 + 6(x - 5)

2 will be distributed to x-5 and 6 will be distributed to x-5

The equivalent equation will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9

Keywords: Equations, Distributive property

Learn more about distributive property at:

  • brainly.com/question/5639299
  • brainly.com/question/2369634

#LearnwithBrainly

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Answer:

your answer is line plot D.

Step-by-step explanation:

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A study of 420,090 cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to the study o
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In un trapezio rettangolo la base minore, il lato obliquo e l'altezza misurano rispettivamente 60 cm. 95 cm è 76 cm. Calcola il
KengaRu [80]

Answer:

2p=348 cm\: S=6726 cm^{2}

Step-by-step explanation:

Ciao, come stai?

1) Per prima cosa, dobbiamo trovare la misura della base più grande. Scomponendo la figura possiamo visualizzare un triangolo e un quadrato. Ci sono somiglianze con gli angoli. Quindi è un triangolo rettangolo. Applichiamo il teorema di Pitagora:

a^2=b^2+c^2\\95^2=b^2+76^2\\57=b

2) Perimetro:

2p=60+57+76+60+95\\2p=348 cm

3) L' area

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8 0
4 years ago
Which point is on the line that passes through (0,6) and is parallel to the given line? plzz helppp!
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Points on given line = (-12,-2) and (0,-4) because you can see them on the graph.  Then draw a parallel line thru (0,6)

To get from (0,-4) to (0,6) your x stays constant and your y coordinate increased by 10.  So your new point will do the same in relation to (-12,-2)  the x will stay constant at -12 and your y will increase by 10 to +8.  

So the answer is A (-12,8)

You can check this because parallel lines have the same slope so

y2-y1/x2-x1 should be equal for both lines.

Line 1:  -4 - (-2) / 0 - (-12) = -2/12 = -1/6

Line 2:  6 - 8 / 0 - (-12) = -2/12 = -1/6


5 0
3 years ago
Consumer products are required by law to contain at least as much as the amount printed on the package. For example, a bag of po
Troyanec [42]

Answer:

The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

Step-by-step explanation:

We are given that

Standard deviation, \sigma=0.2ounces

We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

P(x\geq 10)=0.99

Assume the bag weight distribution is bell-shaped

Therefore,

P(\frac{x-\mu}{\sigma}\geq 10)=0.99

We know that

z=\frac{x-\mu}{\sigma}

Using the value of z

Now,

\frac{10-\mu}{0.2}=0.99

10-\mu=0.99\times 0.2

\mu=10-0.99\times 0.2

\mu=9.802

Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

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