So, you want to get the mixed number, 3 3/4, as a fraction. Multiply 3 by 4 and add it to the top of the fraction, getting you the fraction 15/4. Multiply the top and bottom by 2, getting the denominator to 8 and the numerator to 30. Now, you have two fractions, 30/8 and 3/8, with common denominators. Divide 30 by 3, you get 10. 10 books for the first part. Using this explanation you'll find that the new shelf can hold 14 books.
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
There are different kinds of math problem. There will be 11 rats in sewer #1.
<h3>What are word problem?</h3>
The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
Learn more about Word Problems from
brainly.com/question/21405634
Answer:
II and III ( 2 and 3)
Step-by-step explanation:
The quadrants are numbered counter clockwise, with the top right being number I
II I
III IV
The ones having negative x values are II and III ( 2 and 3)
Answer:
x = 12
Step-by-step explanation:
Angle 1 = 8x - 17
Angle 2 = 5x + 19
These are congruent which means they are the same so the equation is:
8x - 17 = 5x + 19
3x - 17 = 19
3x = 36
x = 12
