Let x be the rate of the slower bicyclist and
x + 4 be the rate of the faster bicyclist
Since the bicyclists are headed towards opposite directions, the sum of the distances they covered traveling for one hour and 15 minutes should be equal to 40 km based on the given conditions above. This may be expressed as,
(x)(1.25) + (x + 4)(1.25) = 40
Calculating gives x = 14
Thus, the rate of the bicyclists are 14 km/h and 18 km/h.
Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)
Number of possible outcomes = 75, number of total outcomes = 290
Probability (75 rolls are needed to get this sum) = 75/290 = 0.259
Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741
Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1
The average salary is $18,725
To find the answer add up each job's salary then divide by the number of jobs.
28,700 + 18,600 + 14,66 + 13,00 = 74,900
Then divide 74,900 by 4 ( added 4 numbers )
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Answer:
The x-value is -2
Step-by-step explanation:
U can substitute any of the equations for y
-5x + (-9) = 2x + 5
-9 = 7x + 5
-14 = 7x
-2 = x
x = 2
