Answer:
it is 5.6
Step-by-step explanation:
Multiple all the sides
Hello from MrBillDoesMath!
Answer:
The first marker is labeled 208708; the second (consecutive) one 208709
Discussion:
Call the first mile marker "m". Then
m + (m+1) = 417417 => combine like terms
2m + 1 = 417417 => subtract 1 from both sides
2m = 417416 => divide both sides by 2
m = 417416/2 = 208708
Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.
Thank you,
MrB
It must be ≤ instead of ≥.
y ≤ - 3·x + 4
Answer:
232 cars
Step-by-step explanation:
Let's say the number of cars that entered is c.
At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:
64/(88 + c) = 1/5
Cross-multiply:
88 + c = 64 * 5 = 320
c = 320 - 88 = 232
Thus, the answer is 232 cars.
Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.
<em>~ an aesthetics lover</em>
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
