Let the extra matches they need to play be x, then:-
total they will win = 3 + 2/3 x
so
3 + 2/3 x = 3/5(x + 10)
3 + 2/3 x = 3/5 x + 6
1/15 x = 3
x = 3*15 = 45
Answer they need to play 45 more matches.
Answer:
For 1 miles distance: 7/10 of a mile she runs and 3/10 she walks.
For 4 miles distance (4 times the previous distance) she will run:
4*(7/10) = 18/20 = 2.8 miles
and walk:
4*(3/10) = 12/10 = 1.2 miles.
Answer:
y = 1/2x + 5
Step-by-step explanation:
The line has a slope of one half. If you look at the dots made, take a look at the dot on the y-axis. Then, if you move up one space from that point, and move two spaces to the right of the point, you reach the second dot. This determines the slope which would be written as 1/2x. Then, if you look back to where the line passes through the y axis, you'll see it landed on positive five. This means 5 will be added to the end of the equation. So, y equals the slope plus the y-intercept. y = 1/2x + 5
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = - 
and c = 6, hence
y = - x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m = 
= 
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = - + c → c = 3 + = 
y = x + ← equation of line
