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vaieri [72.5K]
3 years ago
8

By what number must you multiply a quantity in order to increase it by 25% in a single step?

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

5/4

Step-by-step explanation:

Lets suppose a quantity A that has a value of x

A = x

25% of A is = x/4

now adding this 25% to get 25% increase in the original value

A' = x+ x/4

    A' = 5x/4

    A' = 5*A/4

This means that , in order to increase the value by 25%  in a single step we must multiply the the original value by 5/4.

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A spheres radius is multiplied by 2. How is it’s surface area affected
dexar [7]

Answer:

The surface area is multiplied by 3.

Step-by-step explanation:

If r is the radius of a sphere its surface area = 4(pi)r^2. If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2. So the surface area becomes 4-fold or the increase in surface area is 300%.

3 0
3 years ago
A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate
matrenka [14]

a. Distance moved by effort = 1 meter

b. Work done by effort = 80 Joules

c. Losses in energy = 18 Joules

<h3>How to determine the parameters</h3>

a. Note that velocity ratio is defined as the ratio of a distance through which any part of a machine moves to the distance moved by its parts

Velocity ratio = distance moved by the effort/distance moved by the body

Where velocity ratio = 5

vertical distance = 20cm

Distance moved by effort = 5 × 0. 20 = 1 meter

b. Formula for work done is given as ;

Work done = Effort × distance moved by effort

Work done = 80 × 1

Work done = 80 Newtons

c. First, let's find the work output

Work output = m g h

Work output = 50 × 9.8 × 0. 20

Work output = 98 Joules

Losses in energy = Work output - work done

Losses in energy = 98 - 80

Losses in energy = 18 Joules

Learn more about work done here:

brainly.com/question/25573309

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7 0
2 years ago
Write a quadratic function that will reflect over x-axis and shift down 8
tino4ka555 [31]

Answer:

y=-x^2-8

Step-by-step explanation:

Tell me if you need explanation

8 0
2 years ago
What is an inequality for this graph?
shtirl [24]

Answer:

  B. y ≤ |x – 2| + 4

Step-by-step explanation:

Shading is <em>below</em> the <em>solid</em> line, so the appropriate relation symbol is "less than or equal to" (≤).

Shading is <em>below</em> when y values less than those on the line are part of the solution set.

The line is <em>solid</em> when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values <em>equal to</em> those on the line are solutions to the inequality.

4 0
3 years ago
Find the value of each variable
mina [271]

Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

7 0
2 years ago
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