Answer:
yes
Step-by-step explanation:
6 is half of 12. 15 is half of 30. The ratios are equal, so the fractions are proportional.
Answer: yes
Also, you can reduce both fractions.
Divide the numerator and denominator of 6/12 by 6 to get 1/2.
Divide the numerator and denominator of 15/30 by 15 to get 1/2.
Since both fractions reduce to 1/2, 6/12 and 15/30 are equivalent fractions and are proportional.
List of the first few prime numbers greater than 3:
5, 7, 11, 13, 17, 19, 23, 29
Now find the combination that you can multiply and still have a 2 digit number:
5 x 7 = 35
5 x 11 = 55
5 x 13 = 65
5 x 17 = 85
5 x 19 = 95
5 x 23 = 115 ( 3 digit number, can't use).
7 x 5 = 35
7 x 11 = 77
7 x 13 = 91
7 x 19 = 133 ( 3 digit number, can't use).
The largest 2 digit number would be 5 x 19 = 95
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
<u>Then we get following equations:</u>
<u>First part</u>
- x - 50 = 3/7(y + 50)
- 7x -350 = 3y + 150
- 7x = 3y + 500
<u>Second part</u>
- x + 100 = 4(y - 100)
- x + 100 = 4y - 400
- x = 4y - 500
<u>Substitute x in first equation:</u>
- 7(4y - 500) = 3y + 500
- 28y - 3500 = 3y + 500
- 28y - 3y = 500 + 3500
- 25y = 4000
- y = 4000/25
- y = 160 ml
<u>Then finding x:</u>
- x = 4*160 - 500
- x = 640 - 500
- x = 140 ml
Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
Answer:
Step-by-step explanation:
Latin American Art: x
African American Art: x+18
European Art: x-15
x+x+18+x-15=78
3x+3=78
3x=75
x=25
Latin American Art: 25
African American Art: 43
European Art: 10
Multiply 9 books by 55% by doing
9 x .55 = 4.95
We can't have 4.95 books, though so it rounds down to 4 because you can't just add another .05.
