Answer:
210 stamps
Step-by-step explanation:
<u>Given:</u>
- Arthur ⇒ a = 3 k
- Yusuf ⇒ y = 5k
- Bill ⇒ b = 6k
<u>Yusuf gave </u><u>x</u><u> stamps to Arthur, then:</u>
<u>Bill gave Arthur 42 stamps more than Yusuf gave to Arthur, then:</u>
- b = 6k - (x+42)
- a = 3k + x + x + 42
<u>Now all 3 have same amount of stamps:</u>
- 5k -x = 6k - x - 42 = 3k + 2x + 42
<u>From the first part of the equation we get:</u>
- 6k - 5k = 42 + x - x
- k = 42
<u>How many stamps did Yusuf have at first?</u>
- y = 5k
- y =5*42
- y = 210 stamps
Yusuf had 210 stamps at first
Answer: The answer is 76
Step-by-step explanation:
Answer:
Step-by-step explanation:
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Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
Answer:
x = -6
Step-by-step explanation:
10x = 6x - 24
Subtract 6x from both sides.
4x = -24
Divide both sides by 4.
x = -6