Step-by-step explanation:
x = downstream speed in mph
4 hours × (x-10) + 3 hours × x = 58 miles
4x - 40 + 3x = 58
7x = 98
x = 14 mph downstream speed
and as extra :
therefore his upstream speed was 14 - 10 = 4 mph
Answer:
The answer is B.
Step-by-step explanation:
We want 1/6 of 144, so we divide 144/6=24 students.
Then, only 2/3 of those 24 students will make it to the final round. So, we want to know how many students are in three (2/<u>3</u>) groups and we want two (<u>2</u>/3) of those groups. So, we divide those 24 students by 3 to know each group has 8 students and then we want 2 of those groups (remember <u>2</u>/3), so we multiply 2x8=16 students in the final round.
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Answer:
C
Step-by-step explanation:
Express - 1 as an improper fraction, that is
- x = 9 ( multiply both sides by 5 )
- 9x = 45 ( divide both sides by - 9 )
x = - 5 → C
Answer:
The total number of text messages sent was 27.
Step-by-step explanation:
The monthly cost of the cell phone plan, in function of the number of text messages sent(s) and the number of messages received(r), is given by:
In this question, we have that:
We put this into the equation to find the value of s. So
The total number of text messages sent was 27.