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oksian1 [2.3K]
3 years ago
11

Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?

Mathematics
2 answers:
rodikova [14]3 years ago
8 0
<h2><u>Answer:</u></h2><h2><u></u>\boxed{\boxed{\sf{Yes,~7d+15=7d+15}}}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Solve \bold{4d+(15+3d)}:</h3>
  • Combine 4d and 3d: =7d+15
<h3 /><h3 /><h3>2.) Solve \bold{(4d+15)+3d}:</h3>
  • Combine 4d and 3d: =7d+15
<h3 />

<h3>3.) Compare:</h3>
  • 7d+15=7d+15
<h3 />

So your answer \bold{7d+15=7d+15}.

<h3 />

______________________________

<h3 />

Akimi4 [234]3 years ago
3 0

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

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4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe
erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

5 0
4 years ago
Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spe
bazaltina [42]

Answer:

$(x - 1425)/3

Step-by-step explanation:

Let total monthly budget be x

Amount spent on mortgage = $1425

Remaining balance after spending on mortgage = x - $1425

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Expressing amount spent on recreational activities as an equation will give;

Amount spent on recreational activities = 1/3 of x - $1425

= 1/3 × ( x - $1425)

= ( x - $1425)/3

Hence the required equation is;

R = $(x - 1425)/3

R means recreational activities

3 0
3 years ago
Please help! I will give points for helpng.
xenn [34]
I think 19 i pretty sure
4 0
3 years ago
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n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,
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Answer:

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Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

A = Pe^{rt}

Where,

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r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

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Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

A=2400 e^{0.0168\times 20}

=2400 e^{0.336}

= 3358.4136

\approx 3358

6 0
3 years ago
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Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet

Step-by-step explanation:

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