Answer:
Slope: -7/2
y-intercept: 5/2
y = -7/2x + 5/2
Step-by-step explanation:
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
Answer:
x=65
other angle= 165
Step-by-step explanation:
quadrilaterals always have a total of 360 degrees
because of this you can set up an equation and solve
360=90+40+x+(4x-95)
360=130+5x-95
360=35+5x
325=5x
65=x
plug this in to find missing angle
4(65)-95=165
Answer: 40 divided by 6 is equal to 6 with a remainder of 4: 40 / 6 = 6 R.
Step-by-step explanation:Start by setting it up with the divisor 6 on the left side and the dividend 40 on the right side like this:
6 ⟌ 4 0
The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
6 ⟌ 4 0
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
0
6 ⟌ 4 0
0
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
6 ⟌ 4 0
- 0
4
Move down the 2nd digit of the dividend (0) like this:
0
6 ⟌ 4 0
- 0
4 0
The divisor (6) goes into the bottom number (40), 6 time(s). Therefore, put 6 on top:
0 6
6 ⟌ 4 0
- 0
4 0
Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:
0 6
6 ⟌ 4 0
- 0
4 0
3 6
Subtract the result in the previous step from the number written above it. (40 - 36 = 4) and write the answer at the bottom.
0 6
6 ⟌ 4 0
- 0
4 0
- 3 6
4
You are done, because there are no more digits to move down from the dividend. The answer is the top number and the remainder is the bottom number. Therefore, the answer to 40 divided by 6 calculated using Long Division is: 6
4 Remainder
