Answer:
x=1
Step-by-step explanation:
7x+35=4x+32+6
7x-4x=32+6-35
3x=3
x=3/3
Answer:
A. Taivon runs 0,285 miles for every mile he rides his bike.
B. Yes
C. No
Step-by-step explanation:
So, Taivon is running 4 miles for every 14 miles he rides his bike. We can identify a ratio of 4:14. However, both numbers have a common multiple and can be reduced to 2:7; saying that taivon runs 4 miles for every 14 miles he rides his bike is the same to say he runs 2 miles for every 7 miles he rides his bike. To find the value of this ratio, we simply divide 2 miles that Taivon runs between 7 miles he rides his bike. The value of the ratio of miles he runs for miles he rides his bike is 0,285.
Once Taivon finished his training the ratio between the of total number of miles he ran to total number of miles he cycled was 80: 280. This is consistent with his training schedule, because if we divide 80 between 280, we obtain the same value of ratio previously calculated: 0,285. This means also that the total number of miles he ran and the miles he runs on one session are multiples; the same applies for the total number of miles he rode and the miles he rides on one session. If we divide 80 between 4, we obtain 20. Furthermore, if we multiply 20 times 14, we obtain 280. We can conclude then that Taivon trained 20 days in preparation to the Duathlon.
In one training session, Taivon ran 4 miles and cycled 7 miles. The ratio of the distance he ran to the distance he cycled in this session changes and for this session is 0,571. This training session does not represent an equivalent ratio of the distance he ran to the distance he cycled, since he actually fell short in the cycling by 7 miles to his usual 14 miles riding the bike.
Answer:
x = 13.
So the 3 angles are a = 44, b = 47 and c = 89 degrees.
Step-by-step explanation:
If these are the angles are the 3 angles of a triangle they sum to 180 degrees, so:
3x + 5 + 5x - 18 + 7x - 2 = 180
15x - 15 = 180
15x = 195
x = 195/15
x = 13.
<span>4 hours after they leave Houston.
Easiest way to solve this problem is to first calculate the relative velocities of the two buses. Since they're traveling in opposite directions, you simply need to add their respective velocities to see what the relative velocity is between them.
55 mi/h + 45 mi/h = 100 mi/h
That means that the buses will increase their distance apart from each other by 100 miles for every hour that they travel. So divide 400 miles by 100 miles/hour
400 miles / 100 miles/hour = 4 hours.
So 4 hours after the buses start moving, they will be 400 miles apart from each other.</span>
We can notice that : Line Passes through the Points (1 , 2) and (4 , -4)
Let us find the slope of the line in order to write the Equation of the Line.
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Points are (1 , 2) and (4 , -4)
here x₁ = 1 and x₂ = 4 and y₁ = 2 and y₂ = -4
Equation of the Line passing through (1 , 2) and having slope -2 is :
⇒ y - 2 = -2(x - 1)
⇒ y = -2x + 2 + 2
⇒ y = -2x + 4
