One angle of a triangle is 3 times the second the third angle is 72 degrees
2 answers:
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The total number of cookies baked by grandma = 96
Number of grandchildren = 8
As given, all cookies were evenly divided among 8 children, let us assume that everyone except Cindy got equal share. So on being divided equally, it becomes, cookies per children.
But, as mentioned that Cindy received 'c' cookies less, so let us suppose Cindy received 'x' cookies.
Expression becomes:
Hence, Cindy received 12-c cookies.
Answer:
30 miles
Step-by-step explanation:
Given: Drive to work in 45 min.
Bus would take to travel= 1 hr 15 min
Average rate on the bus is 16 mph slower than his driving rate.
Lets assume the average driving rate be "x" mph.
∴ Average rate of bus=
Now converting unit of time taken to travel to work.
Remember; 1 hours= 60 minutes.
Time taken for drive to work=
Time taken in bus to work= 1 hour and 15 minutes=
∴ Time taken in bus to work in hours=
Considering the distance remain constant to travel for work.
Next, forming an equation to find the value of x.
As we know,
⇒
Using distributive property of multiplication.
⇒
Adding both side by 20
⇒
Subtracting both side by 0.75x
⇒
Dividing both side by 0.5
⇒
∴
Hence the average rate for drive to work is 40mph.
Now, subtitiuting the value of x to find the distance travelled to work.
Distance travelled=
Hence, distance travelled to work is 30 miles.
Answer:
Step-by-step explanation:
Given information:
- Total number of pupils = 20
- 3 pupils play the flute
- 6 pupils play the piano only
- 6 play both instruments
We can assume that 3 pupils play the flute <u>only</u> as we have also been told that 6 pupils play both instruments.
To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:
⇒ total number of pupils - pupils who play instruments
⇒ 20 - (3 + 6 + 6)
⇒ 20 - 15
⇒ 5
Therefore, 5 pupils do not play the piano and/or flute.
To calculate probability:
Therefore: