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3 years ago

Solve for x, 5(x - 5) = 4x + 2* Your answer

Mathematics

1 answer:

Tamiku [17]3 years ago

5 0

Answer:

x=27

Step-by-step explanation:

In order to solve for the variable, x, let us first expand the left side to get rid of the parenthesis:

$5*x-5*5 =4x+2\\5x-25=4x+2$

Now, let us get all the variables of x on one side, and all the numerical values on the other in order to <u>isolate the variable</u>, x.

$5x-4x=2+25\\x=27$

<em>I hope this helps! Please let me know if you have any further questions :)</em>

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The surface area of a cube is increasing at a rate of 15 square meters per hour. At a certain instant, the surface area is 24 sq

algol13

Answer:

The volume of cube is increasing at a rate 7.5 cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

Surface area of cube = 24 square meters.

Let l be the edge of cube.

Surface area of cube =

$6l^2 = 24\\l^2 = 4\\l = 2$

Thus, at that instant the edge of cube is 2 meters.

$\dfrac{dS}{dt} = 15\text{ square meters per hour}\\\\\dfrac{d(6l^2)}{dt} = 15\\\\12l\dfrac{dl}{dt} = 15\\\\\dfrac{dl}{dt} = \dfrac{15}{12\times 2} = \dfrac{15}{24}$

We have to find the rate of change in volume.

Volume of cube =

$l^3$

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d(l^3)}{dt} = 3l^2\dfrac{dl}{dt}\\\\\dfrac{dV}{dt} = 3(2)^2\times \dfrac{15}{24} \\\\\dfrac{dV}{dt} = 7.5\text{ cubic meter per hour}$

Thus, the volume of cube is increasing at a rate 7.5 cubic meter per hour.

4 0

3 years ago

Can I get someone to help me on this please

Vera_Pavlovna [14]

i think its the second graph

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4 years ago

Round to the nearest cent $6.51

son4ous [18]

Answer: $6.50
If the number is below 5 (so 1-4) you round down. If its above 5 (5-9), you round up.
E.G. 78.89
Round this to the nearest 10th, you'll get 78.90

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4 years ago

We want to use a half liter of water. How many milliliters would that be?

natta225 [31]

500 milliliters because 1 liter=1000 milliliters

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3 years ago

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Simplify -2x x 3x x -x

OverLord2011 [107]

Answer:

Step-by-step explanation: