Answer:
1
Step-by-step explanation:
gradient=
Answer:
The pair (0,3) is not a solution to the equation
Step-by-step explanation:
This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:
By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:
3 = 5 - 2 (0)
3 = 5 - 0
3 = 5
which is NOT a true statement.
On the other hand, the other two pairs (2,1) and (1,3) render true statements:
1 = 5 - 2 (2)
1 = 5 - 4
1 = 1
and
3 = 5 - 2 (1)
3 = 5 - 2
3 = 3
The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row
If we pick row 1, then, speed = distance/time = 90/2 = 45
Row 2 says the same thing: 135/3 = 45
So does row 3: 225/5 = 45
and so on
Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.
You have the correct answer. Nice work.
Answer:
Adults $ 17
Students: $8
Step-by-step explanation:
Adults: x
Students: y
a) 25x + 31y = 673
b) 27x +31y = 707
Elimination:
a) -1(25x + 31y = 673) = -25 -31y = -673
a + b
= (-25 -31y = -673) + (27x + 31y = 707)
= 2x = 34
x = 34/2
x = 17
Substitution a or b:
a) 25(17) + 31y = 673
425 + 31y = 673
31y = 673 - 425
31y = 248
y = 248/31
y = 8
