Hello!
We know that mike can bind 109 flowers per hour.
Lets create an equation to remember this.
<u>Mikes equation: </u>
<u>109x = y</u>
<u />
<x is representing per hour in this math problem>
We know that John can bind 116 flowers per hour, here is his equation.
<u>Johns equation:</u>
<u>116x = y</u>
<u />
Question: If they work together for 5 hours, how many flowers can they bind?
First, plug in the number five in both equations.
Second, solve the equation by multiplying.
Mikes:
109(5) = y
109 times 5 is 545
y = 545
Johns:
116(5) = y
116 times 5 is 580
y = 580
We want to know how many flowers can they bind if they work together.
This means we need to add the answers of the equations from both mike's and john's together.
545 + 580 = 1,125
The answer is 1,125
Midpoint formula: (x1+x2)/2, (y1+y2)/2
(1+5)/2 = 6/2 = 3 for x
(5+2)/2 = 7/2 = 3.5 for y
Midpoint: (3,3.5)
Answer: Correct two digit number= 24
Step-by-step explanation:
Let
x= tens digit (wrong one)
and y= zeroes digit
and z= tens digit (right one)
Now according to the statement,
(10x+y)² - (10z+y)² = 2340
Simplifying this we get
(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13
So it could either be
x-z=1 or x-z=3
If we take the x-z=1
then 5x+y+5z=117
which is not possible as maximum value we can get from this is 99.
This leaves us with x-z=3
so 5x+y+5z= 39
Put x=3+z
We get,
y+10z= 24
Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.
Put z=2 in x=3+z , we get x=5
So the numbers become 10x+y= 54
and 10z+y= 24
Their sum is 54+24=78
Check
54²-24²= 2340 so it is correct.
Sled $99.50 X 0.95= $94.525
$94.525+ $99.50 = $194.025
Answer is $194.03
C because 9 x 12 is 108 and so it’s c but I’m sorry if this is wrong