Malcolm and Ravi raced each other.
The average of their maximum speeds was 260 km/h. If doubled, Malcolm's maximum speed would be
80 km/h more than Ravi's maximum speed.
What were Malcolm's and Ravi's maximum speeds?
Malcolm's maximum speed was
km/h and Ravi's maximum speed was
km/h.

The problem can be represented by two equations:

The average of the two speeds are 260 km/hr.  ->   1/2(X + Y) = 260

Twice Malcom's speeds is 80 more than Ravi's speed -> 2X - Y = 80

where X = Malcom's maximum speed, Y = Ravi's maximum speed.

This is two equations in two unknowns:

1)X + Y = 520

2)2X - Y = 80

add equations 1 and 2

3X = 600

X = 200,

Plug X back into equation 1.

200 + Y = 520 -> Y = 320.

Malcom's maximum speed is 200 km/hr.

Ravi's maximum speed is 320 km/hr.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).