The 1st , 3rd , 5th and 6th apply
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
Answer:
y = 3x + 2
Step-by-step explanation:
Let's identify two clear points on this line. I can see (0, 2) and (-1, -1)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-1 - 2) / (-1 - 0)
Simplify the parentheses.
= (-3) / (-1)
Simplify the fraction.
-3/-1
= 3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (0, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 3(0) + b
To find b, multiply the slope and the input of x(0)
2 = 0 + b
Now, we are left with 0 + b.
2 = b
Plug this into your standard equation.
y = 3x + 2
This is your equation.
Hope this helps!
Answer: 98
Step-by-step explanation:
Answer:
I'm pretty positive its (0, 0)
