Answer:
7 candidates passed maths only
6 candidates passed physics only
23 students sat in examination
Step-by-step explanation:
Answer:
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Answer:
The smaller angle is 18 degrees
The larger angle is 72 degrees
Step-by-step explanation:
x = smaller angle
y = larger angle
y = 4x ---> one angle is 4 times larger than other one.
y + x = 90 ----> the sum of complementary angles is 90 degrees
4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve
5x = 90
x = 18 ----> the smaller angle is 18 degrees
y = 90 - 18
y = 72 ----> the larger angle is 72 degrees
The answer is 12,662 books in the math section.
Since the science section represents 1/3 of the total books, divide 75,972 by 3.
75,972 ÷ 3 = 25,324 books in the science section.
Now, subtract 25,324 science books from the total number of books.
75,972 - 25,324 = 50,648 remaining books.
Divide the remaining books by 4 and then multiply by 3.
50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.
Add the science books and business books together.
25,324 + 37,986 = 63,310 science and business books.
Subtract 63,310 from 75,972.
75,972 - 63,310 = 12,662 books in the math section.
Hope I helped!
Answer: her swimming speed = 1.875 mph
Speed of current = 0.625 mph
Step-by-step explanation:
Let x represent her swimming speed.
Let y represent the speed of the current.
Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph
Distance = speed × time
Therefore,
5 = 2(x + y)
dividing both sides by 2, it becomes
2.5 = x + y- - - - - - -1
It takes her 4 hours to swim the same 5 miles back to her original destination against the
same current. It means that her total speed was (x - y) mph
Distance covered would be
5 = 4(x - y)
Dividing both sides by 4, it becomes
1.25 = x - y- - - - - - - 2
Adding equation 1 to equation 2, it becomes
3.75 = 2x
x = 3.75/2
x = 1.875
Substituting x = 1.875 into equation 1, it becomes
2.5 = 1.875 + y
y = 2.5 - 1.875
y = 0.625
