Answer:
Malcom's maximum speed is 200 km/h
Ravi's maximum speed is 320 km/h
Step-by-step explanation:
First we have to make two equations one that represents the maximum average speed of the 2 together and another that represents the relationship between their maximum speeds
R = Ravi's maximum speed
M = Malcom's maximum speed
(R + M) /2 = 260 km/h
2M = R + 80 km/h
we are going to solve for M in the first equation
(R + M) /2 = 260 km/h
(R + M) = 260 * 2
M = 520 - R
we replace M with (520 - R) in the second equation
2M = R + 80 km/h
2(520 - R) = R + 80
1040 - 2R = R + 80
1040 - 80 = R + 2R
960 = 3R
960/3 = R
320 = R
replace R with its value in the first equation
M = 520 - R
M = 520 - 320
M = 200
Malcom's maximum speed is 200 km/h
Ravi's maximum speed is 320 km/h
Answer:
13.5 = 9.5 + x
x=4
Step-by-step explanation:
In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.
Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.
(1/2) > (1/3) > (1/5)
0.1 < 0.15 < 0.2
Answer:
Option A - 10
Step-by-step explanation:
Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.
To find : How many color patterns are possible?
Solution :
Total number of chips = 5
So, 5 chips can be arranged in 5! ways.
There are 3 red chips and 2 blue chips.
So, choosing 3 red chips in 3! ways
and choosing 2 blue chips in 2! ways.
As changing the places of similar chip will not create new pattern.
The total pattern is given by,
Therefore, color patterns are possible are 10.
Option A is correct.
So, we know the perimeter is 24 cm. and the top part is the left part, (x) + 2, but remember, we need to have it be a number that, multiplied by 2, is 24. So, using this formula, the length, (top / bottom) is 7, and x = 5. Because 5 + 5 = 10, and when length is +2, it adds up to 14. 10 + 14 = 24. So, length is 7, width, (left, right) is 5.
