Answer:
d = 5t + 20
Step-by-step explanation:
d represents the distance and t represents the time, in hours
Let he equation which model this situation ⇒ d = a t + b
Where a and b are constant.
Let the gas station is the starting point
So, at gas station t = 0 , d = 20
∴ 20 = 0 * a + b ⇒ b = 20
When he reaches home 2 hours later notes that he has traveled 30 miles.
and with substituting with b = 20
∴ 30 = 2 * a + 20
2a = 30 - 20 = 10 ⇒ a = 10/2 = 5
∴ d = 5t + 20
The equations that can be used to model this situation <u>d = 5t + 20</u>
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
<u>The equivalent fractions with common denominator are:</u>
- 5/8 = 9*5/(9*8) = 45/72
- 7/9 = 8*7/(8*9) = 56/72
<u>Now we can compare the fractions:</u>
- 45/72 < 56/72, since 45 < 56
This expression represents the total distance that this car drives.
Answer:
6.75
Step-by-step explanation:
use the proportion:
1) 20:9=15:x
2) 20x=135
3) x=6.75
Answer:
25
Step-by-step explanation:
(2x+2)+(3+5x)= 180 ( straight angle )
2x+5x+2+5 =180
7x+7= 180
7×= 173
x= 25°
I hope that was helpful
