Answer:
d. 3x + 6 = 26
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive even integers</u>
Let x be the first even integer.
As there is a <u>difference of 2</u> between <u>consecutive even integers</u>, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
Answer:
10 persons
Step-by-step explanation:
Step one:
given data
We are told that they have a total of $275
also, they want to spend $5 on packing space
and a ticket cost $27 per person.
Step two:
let the number of persons be x
and let the total amount to be spent be y
hence the inequality is
y≤ 5+ 27x
now for y= $275, let us find x
Substitute into the inequality we have
275≤5+27x
275-5≤27x
270≤27x
Divide both sides by 27
x ≤ 270/27
x ≤ 10
Hence the number of persons should not be more than 10
Answer:
y = −55x + 275
The initial value is 5
Mike's distance from home when he begins cycling
Step-by-step explanation:
The equation of a line is
y= mx+b where m is the slope and b is the y intercept
The y intercept is 275
Two points are (0,275) and (5,0)
The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55
y = -55x+275
The initial value is when x = 0
When x = 0 , y = 5
y = 12-2x
Rewriting
y = -2x+12
This is in the form y = mx +b where the slope is -2 and the y intercept is 12
12 is the initial value or when x = 0. It would be the distance that he needs to cover. He needs to go from the library to his house.
Answer:
6/30
Step-by-step explanation:
20 percent of 30 is 6 ^_^
