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3 years ago

5(2x - 8) + 15 = -15 what is the solution? what are the steps to find the solution?

1 answer:

5 0

So first you will use the distributive property and get 10x-40+15=-15 then combine like terms making it 10x-25=-15 then use the addition property of equality to get 10x=10 and then divide each side by 10 to find that x=1

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Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less th

Elden [556K]

Answer:

Step-by-step explanation:

25/100 x 80/1 = 20/1

80 - 20 = 60

30/100 x 80/1 = 24/1

80 - 24 = 56

60-56=4

6 0

3 years ago

Solve the equations <br> 14 + 5/7x - 20 = 4/7x -4

gulaghasi [49]

Answer:

$x = 14$

Step-by-step explanation:

5/7x-4/7x=20-14-4

1/7x=2

x=14

8 0

3 years ago

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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

Find the volume of the solid to the nearest unit.

kondaur [170]

Area of the cross section (Trapezium) :

1/2 (6 + 11) x 3 = 25.5 cm²

Volume = area x height = 25.5 x 3 = 76.5 cm³

6 0

3 years ago

A line has a rise of 6 and a slope of 1/20. What is the run?

mr Goodwill [35]

Answer:

120

Step-by-step explanation:

Slope = rise / run

1/20 = 6 / run

run = 120

8 0

3 years ago

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