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4 years ago

14

Jordan wrote the following description: Three fewer than one four of x is 12. write an equation to represent the description.

2 answers:

tigry1 [53]4 years ago

8 0

The correct way to write this equation is .25x-3=12. The .25 is interchangeable with $\frac{1}{4}$

Kaylis [27]4 years ago

5 0

Start first with the coefficient of x, which will be 1/4 as you want to find 1/4 of x. Now, minus 3 to that to give you 3 fewer than 1/4x. You know this equates to 12, so your expression is:
1/4x - 3 = 12
Or you can write it like this if you want to use brackets:
1/4(x-12)=12

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Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

<u>1) Find the slope (</u> $m$ <u>)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

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

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

<u>2) Find the y-intercept (</u> $b$ <u>)</u>

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

3 0

3 years ago

Draw an equilateral triangle of perimeter 10 centimetres.

3241004551 [841]

Answer:

See attachment for triangle

<em></em>

Step-by-step explanation:

Given

Shape: Equilateral triangle

$Perimeter = 10cm$

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

$Perimeter = 3 * Length$

So, we have:

$10= 3 * Length$

Solve for Length

$Length = \frac{10}{3}$

$Length = 3.33$

<em>See attachment for triangle</em>

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3 years ago

A sphere has a radius 14 units. What is the surface area of the sphere

morpeh [17]

Answer:

2463.009

radius squared x 4 x pi is the formula

14 x 14 = 196 x 4 = 784 x pi = 2463.00864

Step-by-step explanation:

4 0

3 years ago

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The ratio 60 : 48 in its simplest form

Zolol [24]

Answer:

5 : 4

Step-by-step explanation:

To simplify the ratio , find the greatest common factor of 60 and 48, then divide both parts of the ratio by it

the greatest common factor of 60 and 48 is 12, hence

60 ÷ 12 : 48 : 12 = 5 : 4 ← in simplest form

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Colt1911 [192]

The paper should cost about $1.33

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3 years ago

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