Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
Answer: 1350
Step-by-step explanation:
Here is the correct question.
Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?
Rick's word per minute= 73
Raquel's word per minute= 63
Ricks word in 135minute= 73×135 = 9855
Raquel's word in 135 minutes=63×135 = 8505
=9855 - 8505
= 1350
Rick can type 1350 more words than Raquel in 135 minutes.
Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.
Answer:
$38.40
Step-by-step explanation:
to get your total you multiply
48 x 20% =9.60
then you subtract 48.00 - 9.60 = $38.40
of the candy is not m&m's.
Step-by-step explanation:
Given,
Total pieces of candy = 140
Number of m&m's = 35
Fraction = 
Fraction = 
Both 35 and 140 are multiples of 7, therefore,
Fraction of m&m's = 
As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore
fraction of m&m's + fraction of not m&m's = 1
fraction of not m&m's = 1 - fraction of m&m's
fraction of not m&m's = 
fraction of not m&m's = 
of the candy is not m&m's.
Keywords: fraction, subtraction
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Let us start subtracting 3 cos theta both sides so that we may get all theta terms on left side only
It is now : 4 cos theta - 3 cos theta = - (sqrt3)/ 2
1 cos theta = -( sqrt 3 ) /2
we know cos (pi-x)= - cos x And cos (pi+ x)= - cos (x)
********* let us first use :
- Cos ( pi - theta) = - ( sqrt 3 )/2
this implies cos (pi- theta )= (sqrt 3) /2
cos ( pi - theta )= cos (pi /6)
pi- theta = pi/6
pi- pi/6 = theta
5 pi/6 = theta
one of teh answer is 5 pi/6 . another value of theta would be :
(2pi - 5pi/6)= 7pi/6
Answer: 5 pi/6 and 7 pi/6