Answer:
. Name all horizontal and vertical intercepts of the graph.
Step-by-step explanation:
Let x = speed of the first car
the second car is 12 km slower so the seconds car speed is x-12
they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x
2x+2(x-12) = 360
2x + 2x-24 = 360
4x-24 = 360
4x = 384
x = 384/4
x = 96
1st car drove at 96 km per hour
slower car drove at 96-12 = 84 km per hour
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
You said that n = 5m
AND n = m + 36 .
Well then, if those two quantities are both equal to 'n', then
they must be equal to each other, and we can write
5m = m + 36
Subtract 'm' from each side: 4m = 36
Divide each side by 4 : m = 9 .
OK. We're half done.
Way back at the beginning, the first thing you told me
was that 'n' is 5 times the value of 'm'.
n = 5 (m)
Well ! Now we know what 'm' is, so
n = 5 (9) = 45 .
Answer:
The third side will also be 60 as it is an equilateral triangle