Answer:
32 and 35
Step-by-step explanation:
I am going to use x for the smaller number and y for the larger one.
The sum of both these numbers is 67, so the equation should be:x+y=67
Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.
x+3=y
To solve the equation, simply plug in
x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→
Subtract 3 from each side, combine like termsx=32→
Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.
32+3=yy=35
The two numbers are 32 and 35
Hello from MrBillDoesMath!
The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is, for a given positive x value the graph of y= 2x appears above the black line which is not the case for the blue line shown.
The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.
y = -x. Now here we can say NO! That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.
Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.
Regards, MrB.
Answer:
Step-by-step explanation:
m∠1 = m∠2 {r ║s , so, corresponding angles are equal}
60 – 2x = 70 – 4x
4x - 2x = 70 -60
2x = 10
x = 10/2
x = 5
500/373 is already displayed as a (improper) fraction
and as a decimal that would be: 1.340483
First let's solve the numerator:
27 - 21 = 6
Denominator:
15 + 9 = 24
Knowing this:
6/24 = 1/4