One number is half another number. The sum of the two numbers is 141. Find the numbers.Restate the applied problem.
You must translate the words into a system of equations for solving the problem.
Solve the system of equations for the answers. You must provide detailed step-by-step explanations on how you solved the problem.
Explain in detail how you would check your answers.
Answers
Answer:
x = 47
y = 94
Step-by-step explanation:
Givens
Let the larger number = y Note: y must be even. Why is that?
Let the smaller number = x
Equations
x = 1/2 y
x + y = 141
Solution
Substitute x from the first equation into the second equation
1/2 y + y = 141
Change 1/2 y to 0.5y
0.5y + y = 141
Combine the left
1.5y = 141
Divide both sides by 1.5
1.5y/1.5 = 141/1.5
Do the division
y = 94 And y is even.
================
x = 1/2y
x = 1/2*94
x = 47
Check
The smaller number is 1/2 the larger one This is correct.
47 + 94 = 141 and this also checks.
Answer:
x = 47
y = 94
Step-by-step explanation:
We know that one number is half another number and the sum of these two numbers is 141. We are to find the numbers.
Assuming and
to be the numbers, we can write it as:
--- (1)
--- (2)
Substituting the value of from (1) into (2) to get:
y = 94
Now substituting this value of in (1):
x = 47
Translating it in other words:
One number is double the other number and the sum of the two number is 141.
Checking answers:
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this means that the rope is 3/3 + 1/3 long,so it is 4/3 foot long,
you now want to get half of this number so that each person has an equal length of rope,so multiply the length of rope by a half,
4/3 x 1/2 = 4/6 , which if simplified = 2/3, this means that each friend gets 2/3 foot of rope.
You can draw this in a diagram by drawing the 1 foot of rope, and then dividing it up into 3 sections. Then add the 1/3 foot of rope into the drawing. It should then be easy to see that altogether there are 4 separate sections of rope and that if each friend has two sections then they will be sharing equal amounts, so consequently each friend has two of the thirds of rope, 2/3
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6.07 = decimal form
6.07 * 100 = 607%
x = 42.8 +
Answers
x + 6.9 = 42.8
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Answers
Answer:
it is 5/4
Step-by-step explanation:
if you add 5/4 but minus it you will see it stays the same
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Answers
The formula is
For
Take some point and put its coordinates into the equation to find