Remove parentheses.
-3/8 -1/6
Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.
LCD=24
Make the denominators the same as the LCD.
- 3x3/8x3 - 1x4/6x4
Simplify. Denominators are now the same
-9/24 - 4/24
Join the denominators
-9-4/24
Simplify
-13/24
Answer: 22
Step-by-step explanation:
From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.
The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:
802.50 + 25p = 1352.50
25p = 1352.50 - 802.50
25p = 550
p = 550/25
p = 22
They can bring 22 players to the tournament
First, let's break the worded equation up into two parts:
- "<span>4 times a number less than 6'
This is 4 * (6-x)
- "</span><span>8 more than twice that number"
This is 2x+8
Now combine these two expressions:
</span>4 * (6-x) = 2x+8
4 * (6-x) = 2 * (x+4)
2 * (6-x) = x+4
12-2x = x+4
-3x = -8
x = 8/3
If you have any questions, please leave it in the comment section below.
Hope this helps!
You should look to units of measure when setting up problems. when math is done correctly, the units cancel out just as numbers and variables do.
(miles / hr) * hr = miles
Speed = (miles / hr)
So if the Train W is traveling at x miles/hr
Then Train E is traveling (x+14) miles/hr
The combined distance they two trains travel is 320 miles
2x + 2(x+14) = 320
2x + 2x + 28 = 320
4x + 28 = 320
4x = 292
x = 292/4
x = 73 miles/hr
remember we set x as the speed for Train W
so Train E is going 73 + 14 = 87 miles/hr
What is the question we're supposed to be answering?
