What is the slope of the graph of 4x-16y=15

Answers

Answer 1

Answer: $4x-16y=15\ \ \ /-4x\n\n-16y=-4x+15\ \ \ \ /:(-16)\n\ny=(-4)/(-16)x+(15)/(-16)\n\ny=(1)/(4)x-(15)/(16)\n\n\n\nthe\ slope\ is\ (1)/(4)$

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Nine is 4% of what number

Answers

Let's call the number we are looking for x

9 = 4% * x

9 = 4/100 * x

9 = 0.04 * x

x = 9/0.04

x = 225

Nine is 4% of 225.

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)

A Cart at the top of a 300m hill has a mass of 40kg. what is the carts gravitational potential energy?

Answers

Answer:

The cart gravitational potential energy is 117,600 Joule

Step-by-step explanation:

First lets define what a gravitational potential energy is.

A gravitational potential energy is the energy stored in an object that rise above a certain height surface.

The formula for calculating the gravitational potential energy(P.E) is m×g×h, where m is the mass of the object measured in kilograms(kg), g is the acceleration due to gravity measured in *(m/s²). It is a constant and always equal to 9.8 m/s² on the earth surface and h is the height of the object above the surface in (m).

The gravitational potential energy is measured in Joules(J).

From the question, mass(m) is given as 40 kg and the height(h) is 300m

and g=9.8m/s²

Gravitational Potential Energy(P.E) = m×g×h

=40 ×9.8 ×300

=117,600 Joules.

Therefore the cart gravitational potential energy is 117,600 Joules.

g.p.e = mgh
m for mass = 40 kg
g for gravitational field strength = 10 N/kg
h for height = 300m

Plug them in:
g.p.e = 40 × 10 × 300
= 120000 J
In terms of kilo joule:
1 kJ = 1000 J
so 120000 J = 120 kJ

The four largest railway tunnels in the world are seikan in Japan 33.5 miles simplon no 1 and 2 in Switzerland and Italy 12 miles the English channel tunnel 31 miles and dai-shimizu in Japan 14 miles what is the difference in the length between the longest and the shortest of these tunnels

Answers

33.5 (longest) - 12 (shortest) = 21.5

If 14 people feeds on 3 cups of rice. how much rice feeds 17 people

Answers

The answer is:

17*(3/14)

More detailed;

3/14 gives us how many it takes to feed 1 person, then we times the amount it takes to feed one person by 17 (to get 17 people)

3.6 cups <br />dividing 3 by 14 gives you the answer for each person then just times by 17.

Katie bought 4 sweaters that cost the same amout and 1 skirt that cost $20.the items she bought cost a total of $160 before tax was added.what was the cost of each sweater

Answers

The answer would be each sweater costed $35.

Total= $160
-$20 (for the skirt)
______________
=$140 divided by 4 for each sweater = $35

What is the percent of change?
initial value:30
final value:180

Answers

600% 30 is 1/6 of 180

600% I looked it up and multiplied 30 by 600 and it equals 180.

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