The tip would increase by $0.44. If you find how much the tip would be originally and compare it to the tip after the coupon is used, it would be $9.76 - $9.32 = $0.44. Richards method would give an extra $0.44 as a tip.
Answer: Either <u>angle DAB</u> or <u>angle BAD</u>
Explanation:
The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.
Answer:
Step-by-step explanation:
We are asked to find the slope of a line that passes through 2 points. The slope tells us the steepness and direction of a line. It is calculated using the following formula:
In this formula, (x₁ , y₁) and (x₂, y₂) are the points the line passes through. The points are (4,4) and (10,7). If we match the value and the corresponding variable we see that:
- x₁ = 4
- y₁= 4
- x₂ = 10
- y₂= 7
Substitute the values into the formula.
Solve the numerator.
Solve the denominator.
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
The slope of the line that passes through (4,4) and (10,7) is <u>1/2.</u>
Answer:
Step-by-step explanation:
Let x represent his average walking speed.
If the average speed on the bike is 8 mph faster than his walking speed,it means that his biking speed is (x + 8) mph
Distance = speed × time
Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is
0.5(x + 8)
He walks back over the same route in 1.5 hours. This means that the distance covered is
1.5x
Since the distance covered is the same, then
1.5x = 0.5(x + 8)
1.5x = 0.5x + 4
1.5x - 0.5x = 4
x = 4 mph
Therefore, the distanceof Alex's house from his friend's house is
4 × 1.5 = 6 miles
