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3 years ago

What is 1/5 of 75? And how do you get that answer?

1 answer:

7 0

Change the fraction to a percentage first. It'll be easier.

1/5 is equal to 20%.
"What is 20% of 75?" is now the question.

Now, we set up the problem.

$\frac{part}{whole} = \frac{percent}{100}$

The part will be 'x', since it is unknown, and 75 is the whole. 20% (1/5) will be the percent, obviously.

Here's a tip: If you can't find what the whole is, it usually follows 'of'.

Fill in the blanks.
$\frac{x}{75} = \frac{20}{100}\\\\cross\ multiply\\\\75\times20=1500\\100\times x=100x \\\\1500=100x\\x=15$

15 is 1/5 of 75.

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A garden has a length of 20 ft. It has a width of 12 ft. What is the area of the garden ?

Crazy boy [7]

Answer:

The answer for your problem is 240

Step-by-step explanation:

A=wl=12·20=240

for this problem all you had to do was multiply

12*20 to get your answer

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3 years ago

Consider the equation y = –3(x – 3) Which equation, when graphed with the given equation, will form a system with lines that ove

pentagon [3]

Answer:

y=-3x+9 (D)

Step-by-step explanation:

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3 years ago

Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the w

Kay [80]

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

$x\propto \frac{1}{y}$

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

$\therefore x \propto \frac{1}{y}$

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

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5 0

2 years ago

John is paid 5% commission on the value of photocopiers he sells. Last week he sold $24,000 worth of copiers. He decided to inve

allsm [11]

Answer:

5040

Step-by-step explanation:

24000-5%=1200

1200+5%=1260

1260x4=5040

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

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5 0

1 year ago