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2 years ago

Solve 5x + 3x - 6 = 42

Mathematics

1 answer:

xxMikexx [17]2 years ago

8 0

Answer:

The answer to your question is x = 6

Step-by-step explanation:

Equation 5x + 3x - 6 = 42

Process

Step 1. Add 6 units in both sides

5x + 3x - 6 + 6 = 42 + 6

Step 2. Simplify

5x + 3x = 48

Step 3. Simplify like terms

8x = 48

Step 4. Divide by 8 both sides

8x/8 = 48/8

Step 5. Simplify

x = 6

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At a local clothing store you can purchase 3 t shirts for 18.00$ at that rate how much would it cost to purchase 7 t shirts

Ksju [112]

3t shirts cost $18

1 shirt will cost 18/3t = 6/t

7t shirts will then cost = (6/t)*7t = 42

7t shirts will cost $42.00

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3 years ago

Find the value of "a" if you knew the perimeter was 47 meters long. Here is the experssion 7a-2

Aneli [31]

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2 years ago

A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen

Darina [25.2K]

Answer:

$100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy$ ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving $y=x^2$ about y axis in the interval $0\leq x\leq 3$ .

Density of the fluid in the tank, $D=100\ lbs/ft^3$

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, $y(0)=0^2=0$

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in $x=3$ in the parabolic equation . This gives,

$H=3^2=9\ ft$

So, the height of top of tank is, $y(3)=H=9\ ft$

Now, 5 ft above 'H' means $H+5=9+5=14$

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

$\Delta y=(14-y)$ ft

Now, area of cross section of the tank is given as:

$A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section$

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, $y=x^2$

So, $x=\sqrt y$

Therefore, radius, $r=\sqrt y$

Now, area of cross section is, $A(y)=\pi (\sqrt y)^2$

Work done in pumping the contents to 5 feet above is given as:

$W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy$

Plug in all the values. This gives,

$W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}$

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2 years ago

Which expression is equal to 6(-3m)^4

miskamm [114]

<span>6(-3m)^4
= 6(-3)^4 m^4
= 6(81) m^4
= 486 m^4

on your options answer is </span><span>C.6(-3)^4m^4</span>

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2 years ago

Love you guys thanks for the help :D

Studentka2010 [4]

Answer:

^_^(❁´◡`❁)

Step-by-step explanation:

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2 years ago

Read 2 more answers

Solve 5x + 3x - 6 = 42​

Solve 5x + 3x - 6 = 42