Answer:
30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet.
Step-by-step explanation:
Draw two number lines:
- One number line to represent number of students from 0 to 150. For convenience, divide the number line into intervals of 15 so that 30 is also present on the line.
- Second number line to represent percentage and divide it in intervals from 1 to 100.
Now, place the other number line just below the other number line and draw a vertical line as shown the attached figure.
We find out that 30 is at 20% of 150.
It means that 20% (30 of total 150) of total 150 students in the marching band, play trumpet.
<h3>
Answer: -√46 is between -7 and -6</h3>
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Explanation:
List out the perfect squares
- 1^2 = 1
- 2^2 = 4
- 3^3 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- 7^2 = 49
- 8^2 = 64
and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
DE = 4 units.
Step-by-step explanation:
By the chord intersection theorem:
BE * CE = DE * FE
But FE = DE + 5 so:
BE * CE = DE * (DE + 5)
6 * 6 = DE^2 + 5DE
DE^2 + 5DE - 36 = 0
(DE + 9)(DE - 4) = 0
So DE = -9 or 4
It can't be negative so DE = 4.
24 minutes. Assuming that 2 people who will repair a refrigerator equally fast will do it twice as fast when working together:
Jannete repairs 1/60 refrigerator per minute.
Lisa repairs 1/40 refrigerator per minute.
Togheter they repair 1/60+1/40= 1/60 + 1,5/60 = 2,5/60=5/120=1/24 refrigerator per minute
thus it will take them 24 minutes
