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Anna11 [10]
3 years ago
13

Four times a number is three times the difference of that number and one

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer: the number is -3

Step-by-step explanation:

Four times a number is three times the difference of that number and one

Let the number be x. Four times the number means 4×x = 4x

three times the difference of that number and one. This means

Difference of the number and one is (x-1). Three times the difference of the number and one would be 3(x-)

Four times a number = three times the difference of that number and one. Therefore,

4x = 3(x-1)

Opening the bracket

4x = 3x -3

4x-3x = -3

x =-3

Check

4×-3 =3(-3-1)

-12 = -3×4

-12 = -12

So the number is -3

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PLEASE HELP!!<br> Solve for x and y<br> 1/3x-2=1/3x+3
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Step-by-step explanation:

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To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she
olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than  32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

A=s^2

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

P=4s

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula  A=s^2 and find its value:

A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in

Substituting the value of "s" into the formula P=4s, we get that the perimeter of the photo is:

P=4(2\sqrt{15}in)=30.98in

Therefore, since Alicia has 32 inches of trim and 30.98in, we can conclude that she will have enough trim for all four sides of the square.

8 0
3 years ago
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
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Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

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