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3 years ago

The sum of three consecutive numbers is 96. What are the smallest of these numbers? Write and Solve an Equation.

Mathematics

2 answers:

zlopas [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96 Remove the brackets

Solution

x - 1 + x + x + 1 = 96 Combine like terms

3x = 96 Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

vichka [17]3 years ago

4 0

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

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Write the standard form of the line that passes through the given points (6,1) and (5,4)

Serggg [28]

The standard form:

$Ax+By=C$

The point-slope form:

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

m - slope

The formula of a slope:

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

We have the points (6, 1) and (5, 4). Substitute:

$m=\dfrac{4-1}{5-6}=\dfrac{3}{-1}=-3$

$y-1=-3(x-1)$ <em>use distributive property</em>

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$y=-3x+4$ <em>add 3x to both sides</em>

$\boxed{3x+y=4}$

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3 years ago

5) Consider the equation : y=7x+8

vekshin1

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest y-intercept.

<h3>How to Interpret the Function Table?</h3>

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

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Looking at the given options, only options that are correct are Options B and C.

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9 months ago

Sketch the graph: y=1/3x+2

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The slope of the line is 1/3and the y-intercept is at the (0, 2) as shown in the graph below.

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A linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:

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b is the y-intercept

Given the following equation

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The slope of the line is 1/3 and the y-intercept is at the(0,2) as shown in the graph below.

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1 year ago

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tekilochka [14]

Answer:

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Step-by-step explanation:

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3 years ago

Dr. David Smith lived 1/13 of his life as a child. He spent 4/39 of his life preparing for an outstanding

stich3 [128]

Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

$13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)$

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So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

$13(\frac{78}{25}) = l$

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2 years ago