Answer:
15 minutes or 1/4 hour
Step-by-step explanation:
3 hours = 60*3=180
180/12=15
Answer and Step-by-step explanation:
In the equation y = 25x + 100, the format of y = mx + b is being used. This is a very commonly used base for equations in math, especially when it comes to graphing.
In the equation, the m stands for the slope in the equation, and the b stands for the y intercept. Slope can also be found by taking the rise/run of a graph.
So, the slope of this line is 25, and the y-intercept 100.
I have also included the this equation on a graph as well.
I hope that this helps.
D. 1/2
We have 4 different suits and we want to know probability of getting a heart or diamond.
We have 2/4 or 1/2 or 50% chance to pick up a heart or diamond card.
Answer:
P(5, 1)
Step-by-step explanation:
Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.
AP/PB = 5/3
By algebra:
PB/AP = 3/5
By a rule of proportions:
(PB + AP)/AP = (3 + 5)/5
PB + AP = AP + PB = AB
AB/AP = 8/5
AP/AB = 5/8
The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.
Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.
x-coordinate:
difference in coordinates: |14 - (-10)| = |14 + 10| = 24
5/8 of 24 = 5/8 * 24 = 15
Add 15 to the x-coordinate of point A: -10 + 15 = 5
x-coordinate of point P: 5
y-coordinate:
difference in coordinates: |4 - (-4)| = |4 + 4| = 8
5/8 of 8 = 5/8 * 8 = 5
Add 5 to the y-coordinate of point A: -4 + 5 = 1
y-coordinate of point P: 1
Answer: P(5, 1)
Answer: 74
Step-by-step explanation:
Substitute x=6 into the expression
(x+4) . 2^3 -6
Add the numbers
(6+4) . 2^3- 6
10 x 2^3 -6
Evaluate the power
10 x 2^3 -6
10 x 8-6
Multiply the numbers
10 x 8-6
80-6
Subtract the numbers
80-6
74
