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3 years ago

2/5 of a number is what percentage of that number?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

40%

Step-by-step explanation:

In order to find percent, you can set up the fraction 2/5 to the equation x/100.

$\frac{2}{5}=\frac{x}{100}$

Then solve using algebra to cross-multiply.

$(2*100)=(x*5)$

$200 = 5x$

$x = \frac{200}{5} = 40$

so the answer is 40%.

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The sum of two numbers is 15. Twice one number equals 3 times the other. Find both numbers

Dmitrij [34]

Answer:

9 & 6

Step-by-step explanation:

First, check if, by adding them (sum), they equal 15:

9 + 6 = 15

Next, check the greater number, by multiplying it by 2:

9 x 2 = 18

Check the lesser number, by multiplying it by 3:

6 x 3 = 18

Note that they both have 18 as an answer.

9 & 6 are your answers.

4 0

3 years ago

A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.

anastassius [24]

Hello,

$u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}$

7 0

2 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

2 years ago

Ray created the list of factors for 48 below.

noname [10]

48 Is the answer that should be removed !

4 0

3 years ago

Read 2 more answers