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4 years ago

3(x+2)=5x in backtracking method

Mathematics

1 answer:

zvonat [6]4 years ago

3 0

I don't know what the backtracking method is, sorry.

3(x + 2) = 5x

3x + 6 = 5x

6 = 5x - 3x = 2x

x = 6/2 = 3

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Mr. Williams can grade 50 essays in 7 hours. His assistant, Mr. Wilfred, can do the same job in 14 hours. His other assistant, M

Elza [17]

Answer:

13.44 or 13 11/25 hours

Step-by-step explanation:

First use this format: number of essays/hours

- they are asking if all three work together, how many hours would it take, so this means addition:

50/7 + 50/14 + 25/6 = 200/x

Second, solve:

- least common multiple: 42

300/42 + 150/42 + 175/6 = 200/x

625/42 = 200/x

- cross-multiply

625x = 8,400

x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)

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3 years ago

When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected

jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

$N=\frac{12.36}{0.03+0.55^t}$

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

$N=\frac{12.36}{0.33+0.55^0}$

$N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12$

A. Initially, there were 12 deer.

B. $N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380$

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. $N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410$

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

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3 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Loc

MrMuchimi

Answer:

Step-by-step explanation:

7 1

3 years ago

you plan to cover the entire surface area of a cylindrical dart board with cork. find the surface area of the dart board if the

Assoli18 [71]

So the amount needed=area of circle times height
area formula=pi times radius^2
height=3/4

so
pi=aprox 3.14
radius=7
3.14 times 7^2
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times 3/4
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answer is 115.4 cubic inches

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3 years ago

What does expression equivalent mean?

Studentka2010 [4]

Answer:

Step-by-step explanation:

Equivalent expressions are expressions that are the same,even though they might look different. If you plug in the same variable value into equivalent expressions they will each give you the same value when you simplify.

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3 years ago