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4 years ago

1/3k+80=1/2k+120 k=??

Mathematics

1 answer:

Sati [7]4 years ago

3 0

Answer:

The value of k is 240

Step-by-step explanation:

$\frac{1}{3}k + 80 = \frac{1}{2}k + 120$

Or, 120 - 80 = $\frac{k}{2} - \frac{k}{3}$

Or, 40 = $\frac{k}{6}$

So. k = 40 × 6 = 240

Hence The value of k is 240 Answer

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Which of these cylinders has the same volume as one with a radius of 4 ft and a height of 9 ft?

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Answer:

Step-by-step explanation:

V=π4²×9=144π

for B

V=π3²×16=144π

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3 years ago

Solve the following systems of equations by graphing. Write your answer in the form of (x, y).

EastWind [94]

Answer:

(x,y) = (1,9)

Step-by-step explanation:

y = x + 8 and y = 5x + 4

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3 years ago

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

4 years ago

1. An account is opened with a balance of $2800earning 4.25% simple interest. What will be thebalance in the account in 30 years

JulijaS [17]

Answer:

$6370

Explanation:

The simple interest formula gives us the final amount A given the principal amount P:

$A=P(1+rt)$

where r is the interest rate and t is the time interval.

Now in our case we have

P = 2800

r = 4.25/100

t = 30 years

therefore, the above formula gives

$A=2800(1+\frac{4.25}{100}\cdot30)$

which simplifies to give

$\boxed{A=\$6370}$

Hence, the account balance after 30 years will be $6370.

7 0

1 year ago

A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters

Ket [755]

Answer:

8 Minutes

Step-by-step explanation:

since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.

666-562 = 104

Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.

104 / 13 = 8

4 0

3 years ago