Question:
You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?
Answer: 4 miles
Step-by-step explanation:
Let distance between start to first checkpoint = x
First checkpoint to second checkpoint = 2/5 of x
Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)
Distance of start to checkpoint 2 = (1/4 of start to finish)
If start to checkpoint 2 = 1/4 of start to finish
Then,
Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)
Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish
Entire race = 40 miles = distance from start to finish
1/ 10 of 40
= ( 1/10) × 40
= 4 miles
Answer:
Answer:
y = \frac{x}{36}y=
36
x
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
y = x\ inchesy=x inches
Divide x by 36 to get equivalent in yards
y = \frac{1}{36} * xy=
36
1
∗x
y = \frac{x}{36}y=
36
x
Hence, the equivalent in yards is \frac{x}{36}
36
x
Answer:
Greatest: Denmark
Least: U.S.
Step-by-step explanation:
The population density is calculated by dividing the population by the area.
U.S.
Population density = 272,648,000/9,364,520 = 29.1
Denmark
Population density = 5,248,000/42,077 = 124.7
Ghana
Population density = 18,339,000/237,533 = 77.2
Greatest: Denmark
Least: U.S.
Answer:
6.4 m
Step-by-step explanation:
We have 2 expressions here. The first one is the fact that r = y. That's one of 2 equations. The second one involves whats' left after cutting off certain lengths of each color string. We cut 2.5 m from red, we cut 3.8 m from yellow. We know that what's left of red is 1.5 times the length of what's left of yellow. What's left of red is r - 2.5; what's left of yellow is y - 3.8. We know that r = 1.5y, so filling that in with our corresponding expressions gives us
r - 2.5 = 1.5(y - 3.8)
Distribute to get
r - 25 = 1.5y - 3.2
Now from the first expression, r = y, so fill in y for r to get an equation in one variable:
y - 2.5 = 1.5y - 3.2
Combine like terms:
-.5y = -3.2 and divide to get
y = 6.4
Check it to make sure it works. What's left of red should be 1.5 times the length of what's left of yellow and y = 6.4:
What's left of red: 6.4 - 2.5 = 3.9
What's left of yellow: 6.4 - 3.8 = 2.6
1.5 x 2.6 = 3.9, just like it should!
Answer:
the answer is VY
Step-by-step explanation:
Between each pair of letters there is 1 missing letter, between each letter in a pair there are 2 missing letters.
I've denoted the missing letters with parentheses:
(A) B(CD)E
(F) G(HI)J
(K) L(MN)O
(P) Q(RS)T
(U) V(WX)Y
