The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
Answer:The equation that models the solution will be
33 = 22k / 6
Step-by-step explanation:
The two types of variation involved in this problem are direct variation and inverse variation.
In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.
In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.
From the information given,
c varies directly with b
If we introduce a direct proportionality constant, k, then,
c = kb
c also varies inversely with a
If we introduce an inverse proportionality constant, k, then,
c = k/b
Therefore, c = kb / a
When a=6 , b=22 and c=33.
The equation that models the solution will be
33 = 22k / 6
Answer:
1 1/4
Step-by-step explanation:
Answer:
3d + 4p = $37.25
5d + 2p = $38.75
Actual Answer:
Bag of popcorn is $5
A drink is $5.75
Step-by-step explanation:
Let drinks = d
Let popcorn = p
Noah: 3d + 4p = $37.25
Other: 5d + 2p = $38.75
Choose a variable to eliminate (We'll choose p)
3d + 4p = $37.25
(5d + 2p = $38.75) -2
Distribute
-10d - 4p = -77.5
The -4p cancels out the 4p, then we combine
-7d = -40.25
Divide both sides by -7
-7d/-7 = -40.25/-7
d = 5.75
Back to 3d + 4p = $37.25
Substitute d with 5.75
3(5.75) + 4p = $37.25
17.25 + 4p = 37.25
Move the constant to the other side
17.25 + 4p = 37.25
-17.25 -17.25
4p = 20
Divide both sides by 4
4p/4 = 20/4
p = 5
