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dem82 [27]
2 years ago
13

One number is one less than five times another. if their sum is decreased by three, the result is eight. find the numbers.

Mathematics
1 answer:
Anestetic [448]2 years ago
5 0

<span>One number is one less than five times another ....
</span>Let one number be x<span>
The other number is 5x - 1

Their sum ... 
x + 5x - 1 = 6x - 1

Their sum is decreased by 3
6x - 1 - 3 = 6x - 4

The result is eight
6x - 4 = 8
6x = 8 + 4
6x = 12
x = 2

x = 2
</span>5x - 1 = 5(2) - 1 = 9<span>
One number is 2 and the other is 9.</span>
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<img src="https://tex.z-dn.net/?f=3y%20-%205x%20%3D%2010" id="TexFormula1" title="3y - 5x = 10" alt="3y - 5x = 10" align="absmid
kompoz [17]

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

7 0
1 year ago
Read 2 more answers
Using the following diagram below, please answer the following:
Colt1911 [192]
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2

The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.

The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
7 0
2 years ago
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evablogger [386]
A+b=82
2a+4b=324

Solve for a and b. a is the # of borogoves, b is the # of mome raths.
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3 years ago
If the dimensions of a square pyramid are measured in yards, then the volume of the pyramid is measured in
Leona [35]
Yd * yd * yd = yd^3

The volume is measured in cubic yards.
8 0
3 years ago
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Sean missed 8 questions when he took his quiz for the first time. when he took it the second time he only missed 3 questions. By
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Answer:

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