Answer:
Mariya is 1 year old
Vikram is 7 years old
Step-by-step explanation:
Here, we want to know the present ages of Mariya and Vikram.
Let the present age of Mariya be M and the present age of Vikram be V
From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now
Thus, mathematically;
M + 6 = V ••••••(i)
Furthermore , in 2 years time Vikram will be 3 time older than Mariya
Mathematically;
( V + 2) = 3( M + 2)
V + 2 = 3M + 6
V = 3M + 6-2
V = 3M + 4 •••••••(ii)
So let’s equate the V
3m + 4 = m + 6
3m -m = 6-4
2m = 2
m = 1
But V = m + 6
V = 1 + 6
V = 7
First you have to figure out the length of the track:
r is the half of the diameter:
200ft : 2 = 100ft
= 200
≈
628,31
The athlete has to run ca. 5280ft for one mile:
5280 : 628,31≈8,4
The athlete has to run 8,4 laps
Answer:
y=3/2(x) -1, or y = 1.5x - 1
Step-by-step explanation:
To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:
y=mx+b.
For this particular line, you would write:
-8 = 3/2(-6)+b
-8 = -18/2 + b
-8 = -9 + b
add 9 to both sides to isolate the b
-1 = b.
Now that you have the answer for b (-1), you can write the equation as:
y=3/2(x) -1
Answer:
13 white cars
Step-by-step explanation:
Let us represent:
Number of
Red cars = x
Blue cars = y
White cars = z
Sharon has 23 toy car that are colored red, blue, and white.
x + y + z = 23
x = 4
2 fewer blue cars than red
y - 2 = x
y - 2 = 4
y = 4 + 2
y = 6
Hence,
x + y + z = 23
4 +
Number of white cars is calculated as:
23 - (6 + 4)
23 - 10
= 13 white cars
