The three even integers are 80, 82, and 84.
The sum of the first (80) and the third (84) integers = 80 + 84 = 164, verifying our answer.
A simple way to figure this out is to divide 164 by 2, which gives you 82. From this answer, if we subtract 2 to get the first integer and add 2 to get the third integer while keeping 82 as the second integer, we end up with the correct sum of 164.
Hope this helps!
Answer:50
Step-by-step explanation: I took the test
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
The rule of thumb for this kind of problem is that you must first determine the limiting variable in your situation. We know that for a single sandwich, 50 grams bread greatly exceeds the 9 grams of ham requirement. We also know that there will be a greater supply of ham since 1 kg is relatively close in amount to 1.2 kg. This means that we only need to look at the bread for calculation purposes. We can get the total number of sandwiches to be 1200 / 50 = 24 sandwiches.
Answer:
1). 
2). 
Step-by-step explanation:
In this question we have to write the fractions in the factored form.
Rational expressions are 
and 
.
1).
Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x + 3)(x - 4)
Therefore.
2).
Factored form of the denominator (x² - 16) = (x - 4)(x + 4)
[Since (a²- b²) = (a - b)(a + b)]
Therefore,
