Answer:
-58, -57, -56
Step-by-step explanation:
if the first integer is x,
the second integer must be x + 1 (because it's consecutive)
and the third must be x + 2
Therefore:
3 times the sum of the first and third integers is -342:
3 * (x + (x+2) ) = -342
Combine like terms in parentheses
3 * (2x + 2) = -342
Distribute the 3 to the 2x and the 2:
6x + 6 = -342
Subtract 6 on both sides
6x = -348
Divide by 6 on both sides
x = -58
x + 1 = -57
x + 2 = -56
-58, -57, -56
Check:
3 * (-58 + -56) = 3 * -114 = -342
Answer
B, i think
Step-by-step explanation:
Answer:
All whole numbers are rational numbers.
<u>False</u>
All integers are whole numbers.
<u>True</u>
<u />
There are integers that are not rational numbers.
<u>True</u>
There are whole numbers that are not integers.
<u>True.</u>
Answer:
13 hours
Step-by-step explanation:
Average speed = Distance traveled / time taken
⇒ Distance = Average speed × Time
d = s × t
For the first trip;
Average speed = 280 mph
d₁ = 280t₁ ------(1)
where;
d₁ is the distance covered to get to the destination
t₁ is the time taken to get to the destination
For the second trip;
Average speed = 240 mph
d₂= 240t₂ ------(2)
where;
d₂ is the distance covered on the way back
t₂ is the time taken on the way back
The trip is the same distance to and fro. Therefore,
d₁ = d₂
Substituting the equation for d₁ and d₂
280t₁ = 240t₂ ------(3)
It took one hour less time to get there than it did to get back, then,
t₁ = t₂ - 1
t₂ = t₁ + 1 ------(4)
Substituting equation (4) into equation (3)
280t₁ = 240(t₁ + 1)
280t₁ = 240t₁ + 240
280t₁ - 240t₁ = 240
40t₁ = 240
t₁ = 240/40
t₁ = 6 hours
From equation (4)
t₂ = t₁ + 1
t₂ = 6 + 1
t₂ = 7 hours
The total time for the trip is t₁ + t₂ = 6 + 7
= 13 hours
Answer:
3/500
Step-by-step explanation:
.6% = .006 = 6/1000 = 3/500
