Answer:
Step-by-step explanation:
x = the number
x + 1/6x + 2 1/2x + 7 = 12 1/2
3 + (1/6 + 1/2)x = 12 1/2 - 7
3 + (1/6 + 3/6)x = 5 1/2
3 2/3x = 5 1/2
x = (11/2) / (11/3)
x = 11 / 2 * 3 / 11
x = 3/2
x = 1 1/2
Answer:
Probability that a randomly selected student plays sport and is in band = 1/50
Step-by-step explanation:
Total number of students= 1900
Percentage of those that play sport and are in band = 2%
Hence those that play sport and are in band = 2/100 x 1900 = 38 students
Probability that a randomly selected student plays sport and is in band = 38/1900 = 1/50
Answer:
Step-by-step explanation:
The formula one would use for finding the volume of a rectangular prism is as follows:
- Volume = length × width × height ,
With this in mind, let's plug in the given variables in the question for this formula.
?
- We don't know the height, but that's just fine. We will plug in all our values and isolate
.
- I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.
- Notice, that the units on the left side cancel out, leaving only the unit
left next to the solution. In the same way, the units on the right side cancel out too, leaving only , height.
If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
