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Marat540 [252]
3 years ago
7

Write the phrase as an expression. THEN SIMPLIFY THE EXPRESSION. 7 plus sum of a number x and 5. please help.

Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

Expression = 7 + x + 5

Simplified = 12 + x

Step-by-step explanation:

Required:

Write as an expression and simplify

The sum of a number, x and 5 can be represented as: x + 5

So, the expression becomes: 7 + x + 5

Expression = 7 + x + 5

Solving further:

Collect Like terms

Expression = 7 + 5 + x

Add like terms

Expression = 12 + x

Hence, the simplified expression is: 12 + x

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Answer:

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Step-by-step explanation:

After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...

  V = x(12 -2x)(10 -2x)

The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.

5 0
3 years ago
How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded mont
Margarita [4]
You're looking for the time t that it takes for the principal P to double, so A=2P. Dividing both sides of the formula by P leaves you with

2=\left(1+\dfrac rn\right)^{nt}

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2=\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=\ln\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=12t\ln\left(1+\dfrac{0.0075}{12}\right)
t=\dfrac{\ln2}{12\ln\left(1+\dfrac{0.0075}{12}\right)}\approx92.45
8 0
3 years ago
Which is the equation of a line that has a slope of -2/3 and passes through
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answer

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Step-by-step explanation:

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Cerrena [4.2K]

Answer:

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(please mark brainliest)

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OverLord2011 [107]

Answer:

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Step-by-step explanation:

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3 years ago
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