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3 years ago

Expand and simplify 5(x-1)-3(x+4)

2 answers:

5 0

Question:

Expand and simplify 5(x - 1) - 3(x + 4)

Answer:

1.) Use the distributive property to solve this equation:

5(x - 1) = 5x - 5

3(x + 4) = 3x + 12

2.) Put it in the equation:

5x - 5 - 3x + 12

3.) Group them:

5x - 3x - 5 + 12

4.) Simplify:

2x - 7
which is the answer.

Hope this helped! :))

shepuryov [24]3 years ago

5 0

So first it’s 5x-5-3x-12( got this using distributive property)
Now we simplify by combining like terms so 5x-3x=2x
And -5-12=-17
Ending to be 2x-17

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A three inch diameter pulley on an electric motor that runs at 1800

Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

$V=R\omega$

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

$\omega_1 R_1 = \omega_2 R_2\\$

$\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM$

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

$\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}$

$\omega_2 = 5654.7 \frac{radians}{min}$

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0

3 years ago

7x/z=10-r<br><br> solve for x

baherus [9]

Answer is:

x= 10z/7 - rz/7

4 0

2 years ago

You need to find the width of the stream. You cannot measure the width directly, so you draw a diagram showing lengths that you

MAXImum [283]

There is no diagram, therefore we can't answer the question.

4 0

2 years ago

If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi. one whole side is 28 in

morpeh [17]

<em>What you need to find is the extra amount of plywood. To do that, you must find the area of the square and the area of the circle and subtract them to find the answer.</em>

Formulas:
area of a square: A = bh
area of a circle: A = $\pi r^2$

square measurements:
b = 28
h = 28

circle measurements:
$\pi$ (≈3.14)
r = 14

A = (28)(28)
A = 784
area of square = 784 in^2

A = 3.14 ( $14^{2}$ )
A = 3.14 (196)
A = 615.44 in^2

784 - 615.44 = 168.56
The amount of plywood left over is 168.56 in^2.

6 0

2 years ago

Convert 6500 ounces to liters. plz show work

yuradex [85]

Answer:

About 192.22775 liters

Step-by-step explanation:

1 ounce = 0.0295735 litre

=> 6500 ounces = 0.0295735 x 6500 = 192.22775 litres

7 0

3 years ago