Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer:
8kg
Step-by-step explanation:
4m=2kg
16m=?
=16m×2
=32
=32÷4
=8kg
Hope this will help ya!
Answer:
See Below.
Step-by-step explanation:
We want to estimate the definite integral:

Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.
1)
The trapezoidal rule is given by:

Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:

Therefore, the trapezoidal approximation is:

Evaluate:

2)
The midpoint rule is given by:

Thus:

Simplify:

3)
Simpson's Rule is given by:

So:

Simplify:

<span>Since we need to convert “miles per second” to “miles per hour,” we first need to find out how many seconds there are in a hour.
We know that there are 60 seconds in a minute, and if we wanted to do an hour we would have to do 60 * 60 which is 3600 seconds, therefore,
</span>1 mi/57.1 sec = (1 mi/ 57.1 sec)(3600 sec/1 hour)
= (3600/57.1) mi/hours
<span> = 63.047 mi/hours</span>
Answer:
A and E
Step-by-step explanation:
Sqrt 3 times sqrt 3 is sqrt 9, which simplified is 3