Answer:
(0,0) and (7,10)
Step-by-step explanation:
recall that the slope - intercept form of a linear equation can be given as
y = mx + b
where m = slope and b = y intercept
in our case, we are given that slope, m = 10/7, hence our equation becomes
y = (10/7) x + b
since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.
We pick b = 0, hence the equation simplifies to:
y = (10/7) x ----- eq 1
we can see immediately that if x = 0, y must also = 0
proof if x = 0:
y = (10/7)(0) =0
since 0 is an integer, then (0,0) must be the first point.
we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:
y = (10/7) x 7
y = 10
hence (7,10) is the second point.
Answer: 1/7
Step-by-step explanation:
26+6+10=42
6/42=1/7
Answer:
Zero Solutions
Step-by-step explanation:
3x+3-5=3x-2
3x-3x= -2+5
0= 3
0 does not equal 3, so zero solutions.
Answer:
6.12
1.39
4.12
12
Step-by-step explanation:
If y ∝ x, then y = kx.
So, the constant of proportionality is given by
Case 1:
$18.36 for 3 pizzas
Therefore, the constant of proportionality is
Case 2:
$4.17 for 3 pounds of bananas.
Hence, the constant of proportionality is
Case 3:
$16.48 for 4 pounds of potatoes.
Hence, the constant of proportionality is
Case 4:
2 cups of flour to make 24 cookies.
Hence, the constant of proportionality is
(Answer)
Hi there!
The word "of" is the same thing as a multiplication sign.
1)
20% = 0.2
0.2 × 20 = 4
2)
? × 30 = 15
divide each side of the equation by 30
? = 0.5
0.5 = 50%
3)
50% = 0.5
0.5 × ? = 50
divide each side of the equation by 0.5
? = 100
There you go! I really hope this helped, if there's anything just let me know! :)