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Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
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<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
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<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
Answer:
h=5
Step-by-step explanation:
5h +2 -h = 22
4h+2=22
4h=20
h=5
4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2
Anna007 [38]
Answer:
<u>Given data:</u>
- 4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2
<u>Put the data in the ascending order:</u>
- 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8
<u>Mean, the average:</u>
- (1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5
<u>Median, average of middle two numbers:</u>
<u>Mode, the most repeated number:</u>
Mean is normally the best measure of central tendency, same applies to this data.
9 times 5 equals 45 so yes
Answer:
Area of ΔPQR = 25 units
Step-by-step explanation:
We will use the following formula to calculate the area of triangle ΔPQR:
A = 1/2 | x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂) | = 1/2 |(-6(1+3) +2(-3-7) +(-1)((7-1)| =
A = 1/2 |-6 · 4 + 2 · (-10) + (-1) · 6| = 1/2 | -24-20-6| = 1/2 | -50| = 1/2 · 50 = 25
A = 25 units
God with you!!!
