Answer:
1. 7:1
2. 1:8
Step-by-step explanation:
1. Start by counting the number of triangles. We see: 56 triangles. Then, count the hearts. We see: 8 hearts.
So, the ratio of triangles to hearts is 56:8 which we simplify to get: 7:1.
2. Start by adding triangles to hearts. We get: 56+8 which equals 64.
The amount of hearts equals 8 so the ratio of hearts to (hearts + triangle) is! 8:64 which equals 1:8.
The y-intercept is 10 hours and it represents the number of hours it took to empty one tank
Answer:$11.5
Step-by-step explanation:
Admission = $9 charged once
each ride = $2.5x (x=number of rides)
Total cost for x rides
=2.5x+9
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.
When we are attempting limits questions, there are several tests we attempt first.
1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)


4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.
For example:
1)

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>Substitute x = 0 to the function.


<em>Method 2: Rearranging the function
</em>We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.



Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
Answer:
658 + 342 = 1000.
Step-by-step explanation:
Let x be the multiple of 47 and y be the multiple of 19 which gives 1000 while adding.Hence 47x + 19y = 1000On multiplying, find x and yX=14 and y=18So, 47*14= 658 and 19*18= 342 On adding, 658+342=1000Therefore, 658 and 342 are the two parts of 1000.
in simple way
47a + 19b = 1000
a = 14, b = 18
check: 14 x 47 = 658, 18 x 19 = 342, 658 + 342 = 1000.