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.
Answer:6
Step-by-step explanation:
4(2)^4 − 2(7)^2 + 40
4(16)-2(7)^2+40
64-2(49)+40
64-98+40
-34+40
6
8/36 because:
8+16+12=36
and if you simplify it the answer will be 4/18 2/9
Answer:
50%
Step-by-step explanation:
45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!
Answer:
94 cm
Step-by-step explanation:
Set up and solve an equation of ratios:
wingspan length
60 meters 70.5 m
----------------- = ----------------
80 cm x
Cross multiplying:
(60 m)x = (70.5 m)(80 cm)
Solve for x by dividing both sides of this equation by 60 m:
x = (70.5 m)(80 cm) / (60 m) = 94 cm
The length of the model should be 94 cm.
