Answer:
3 tires
Step-by-step explanation:
56 minutes divided by 4 is 14. 42 minutes divided by 14 is 3 :)
Writing some equations out might help!
1) You know that a is 4/5 of b. This can be written as:

.
To find what b is equal to, multiply both sides by 5/4:

.
A is 5/4 B.
2) You know that a is 1/5 smaller than b. This can be written as:

.
To find b, just add 1/5 to both sides:

.
B is 1/5 bigger than a.
Answer:
(4/3,2/3) will the point on the line after dilation
Step-by-step explanation:
Dilation is a transformation in which every point on line is dilated or multiplied away by the scale factor. This means, that dilation either enlarges the figure or reduces it in size.
So that means, if a point A(1,1) lies on a line and this line is dilated by a factor 2. Then, the new line will be passing through point
A(1,1) ---> A'(2*1,2*1) = A'(2,2)
Given: point on line (4,2) and scale factor 1/3
Result: The point is transformed or dilated by factor 1/3
B(4,2) --> B'(4/3,2/3)
Answer:
Step-by-step explanation:
Given : The total number of programmers in the company = 30
The company wants to select a group of 6 programmers to work on a particular project.
Since the order of selecting them does not matters , therefore we use combinations.
The number of combinations of r things taken from n things is given by :-

here, n= 30 and r= 6
So the number of different ways to form they could select a group of 6 would be 

i.e. Total ways =593775
In terms of factorials , the number of total ways to form they could select a group of 6 is
.
Answer:
58
Step-by-step explanation:
1. let x be the unknown number
2. make an expression
x + 26/12 = 7/1
3. cross multiply
x +26 × 1 = x + 26
12 × 7 = 84
x + 26 = 84
4. move variables on one side and numbers on other side of the equal sign
x + 26 = 84
- 26 -26
x = 58