Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
(5√2-4√3)(5√2-4√3)=
(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)
=25*2+16*3-10√2*4√3
=50+48-10√2*4√3
=98-10√2*4√3 is the answer
The answer to your question is Y
Answer:
2 stalls
Step-by-step explanation:
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
1 stall = 4 bundles
4 bundles = 1 stall
11 bundles = x
Cross Multiply
4x = 11
x = 11/4
x = 2 3/4 stalls
The greatest number of stalls he can build is 2 stalls
A clock is a circle which is 360 degrees.
There are 12 hours -----> 360/12 = 30 degrees.
Going clockwise, add 30 degrees for every hour the hour hand is at.
There are 60 minutes -----> 360/60 = 6 degrees.
Add 6 degrees for every minute the minute hand is at.
Find position of both hour hand and minute hand, then take the difference.
Time is 5:15.
Hour hand is at 5 plus 15/60 or 5.25.
Multiply by 30. 30*5.25 = 157.5
Minute hand is at 15.
Multiply by 6. 15*6 = 90
157.5 - 90 = 67.5 degrees.
