Answer:
x = 80
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 30 + 70 = 180, that is
x + 100 = 180 ( subtract 100 from both sides )
x = 80
Answer: 7 7/8 hours long
Step-by-step explanation:
April worked 1 1/2 times as long as Carl did. 1 1/2 can be rewritten as 3/2. Number of Hours April worked on math project 3/2 times the Number of Hours Carl worked on Math project. Which Carl worked 5 1/4 hours long, which can be rewritten as 21/4
The <em><u>correct answer</u></em> is:
15 bicycles and 6 skateboards.
Explanation:
Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then
x+y = 21, since there are 21 total items in the shop.
Each bicycle has 2 tires and each skateboard has 4; this gives us the equation
2x+4y=54 (because they are ordering 54 tires).
This makes our system

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:

Now we will subtract the second equation from the first one:

Divide both sides by -2:
-2y/-2 = -12/-2
y = 6
There were 6 skateboards. Substituting this into the first equation,
x+6 = 21
Subtract 6 from each side:
x+6-6 = 21-6
x = 15
There were 15 bicycles.
In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.
1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60
Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.