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3 years ago

What is this 8x+17=2x+35

1 answer:

7 0

Solve for x:
8 x + 17 = 2 x + 35
Subtract 2 x from both sides:
(8 x - 2 x) + 17 = (2 x - 2 x) + 35
8 x - 2 x = 6 x:
6 x + 17 = (2 x - 2 x) + 35
2 x - 2 x = 0:
6 x + 17 = 35
Subtract 17 from both sides:
6 x + (17 - 17) = 35 - 17
17 - 17 = 0:
6 x = 35 - 17
35 - 17 = 18:
6 x = 18
Divide both sides of 6 x = 18 by 6:
(6 x)/6 = 18/6
6/6 = 1:
x = 18/6
The gcd of 18 and 6 is 6, so 18/6 = (6×3)/(6×1) = 6/6×3 = 3:
Answer: x = 3

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The force, F, needed to break a board in a martial arts class varies inversely with the length, L, of the board. If it takes 24

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Answer:

it would take 40 pounds of pressure to break the board.

Step-by-step explanation:

$F = \frac{x}{L}$

Now we plug in the numbers of force and length

$24 =\frac{k}{2.5}$

Now we multiply both sides by 2.5 to get rid of the fraction.

$60=x$

Now we plug in our variation constant

$F=\frac{60}{L}$

So we convert the length of 2.5 feet into inches. This is 18 inches. Since there are 12 inches in one foot, we have that 18 inches is equal to 18 divided by 12.

18÷12=1.5

We get that 18 inches is equal to 1.5 feet

we plug L = 1.5 into our inverse variation equation and solve for F.

$F=\frac{60}{1.5}$

This simplifies to F = 40

If you have any questions feel free to ask in the comments - Mark

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4 years ago

colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the num

kaheart [24]

To get started, we will use the general formula for bacteria growth/decay problems:

$A_{f} = A_{i} ( e^{kt} )$

where:
A_{f} = Final amount
A_{i} = Initial amount
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t = time

For doubling problems, the general formula can be shortened to:

$kt = ln(2)$

Now, we can use the shortened formula to calculate the growth rate constant of both bacteria:

Colby (1):
$k_{1} = ln(2)/t$
$k_{1} = ln(2)/2 = 0.34657$ per hour

Jaquan (2):
$k_{2} = ln(2)/t$
$k_{2} = ln(2)/3 = 0.23105$ per hour

Using Colby's rate constant, we can use the general formula to calculate for Colby's final amount after 1 day (24 hours).

Note: All units must be constant, so convert day to hours.

$A_{f1} = 50( e^{0.34657(24)})$
$A_{f1} = 204,800$

Remember that the final amount for both bacteria must be the same after 24 hours. Again, using the general formula, we can calculate the initial amount of bacteria that Jaquan needs:

$A_{f2} = 204,800 = A_{i2} ( e^{0.23105(24)} )$
$A_{i2} = 800$

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3 years ago

A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 51 miles a

EleoNora [17]

Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles

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3 years ago

Read 2 more answers

Solve the equation x=3y for y

alina1380 [7]

Step-by-step explanation:

x-3y=3y-3y