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3 years ago

6

What is the value of x X/200x30/25?

1 answer:

BigorU [14]3 years ago

8 0

X = x/200 x 30/25 cross multiply
25x = 6000
x = 240

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The value of varies directly with . If = 4, then = 12. What is the value of when = 6?

kodGreya [7K]

Write the correct equation. Direct variation problems are solved using the equation y = kx. When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the direct variation equation, such as squares, cubes, or square roots.

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2 years ago

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.

balu736 [363]

Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
12x - 9 = 63
12x = 72, x = 6

Solution: x = 6

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2 years ago

Amy is solving the equation using the steps shown.

Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

$\mathbf{(x^2 - 16)(x + 2) = 0}$

The possible next steps are:

1. Expand the equation as follows

$\mathbf{x^3+2x^2-16x-32 = 0}$

2. Express x^2 -16 as a difference of two squares as follows

$\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

Read more about equations at:

brainly.com/question/7674413

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2 years ago

Divide. −36/−8 Enter your answer as a mixed number, in simplified form, in the box.

Pavel [41]

Answer:

= 4 whole 1/2

Step-by-step explanation:

Given that:

= −36/−8

"-" signs will be cancelled out with each other so

= 36/8

By reducing to lowest term

= 9/2

When writing into mixed form:

quotient = 4, remainder = 1, divisor = 2 so:

= 4 1/2

i hope it will help you!

8 0

3 years ago

When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 973 co

HACTEHA [7]

Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

$N(t)=N0*e^{kt}$ where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

$1,000,000=N0*e^{k*0}$

$1,000,000=N0$

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

$973,635=1,000,000*e^{k*365}$

$ln(973,635/1,000,000)/365=k$

$-0.0000732=k$

A. atoms decayed in a day:

$N(t)=1,000,000*e^{-0.0000732t}$

$N(1)=1,000,000*e^{-0.0000732*1}$

$N(1)= 999,926.803$

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

4 0

3 years ago