Step-by-step explanation:
Old Railroad Car:
- 1 day of coal in 15 hours
- 1/15 days of coal in 1 hour
New Railroad Car:
- 1 day of coal in 10 hours
- 1/10 days of coal in 1 hour
Total number of days of coal in 1 hour
= 1/15 + 1/10 = 1/6.
Since there is 1/6 days of coal in 1 hour,
there will be 1 day of coal in 6 hours.
It will take them 6 hours to transport the supply.
7. We know that they must all add up together to get 90 degrees because of the symbol show the right angle.
We can use this to form and solve an equation:
2x +1x + 30 = 90
3x+30 = 90 (add the x's together)
3x = 60 (subtract both sides by 30 to get the x's alone)
x =20 (divide by 3 to get what 1x is equal to)
(The next question is very similar)
8. To solve this, we need to know what all the x's together are equal to.
Since angles on a straight line add up to 180 degrees -we can make an equation:
4x+x+30 = 180
5x + 30 +180 (add all the x's together)
5x = 150 (subtract both sides by 30 to get what 5x is equal to)
x = 30 (divide by 5 to get what just 1x is)
Hoped this helped - please ask if anything doesn't make sense!
Y= 11-2x
Substitute in:
5x-2(11-2x)=-13
5x-22+4x=-13(combine like-terms)
9x-22=-13
9x=-13+22
9x=9
x=1
I would say the third one (h) because it goes c,b,a except is has the letter in front for angle
Two times four
Eight divide in half
Eight
Six times four
Twenty four
Eight plus twenty four
Thirty two
When you have a triangle just multiply the sides then divide that total by half that will be the area for that