Answer:
See explanation
Step-by-step explanation:
1. Find the GCF of 40 and 44:

So,

2. Find the GCF of 13 and 52:

So,

3. Find the GCF of 15 and 81:

So,

4. Find the GCF of 64 and 28:

So,

Answer:
<em>The answer to your question is</em> <em>C.n ≥ 7</em>
Step-by-step explanation:
<u><em>I hope this helps and have a good day!</em></u>
Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) = 
= 
m(∠CAE) = 
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° = 
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, total height of the silo is 18 ft.
Answer:
If x= 4 then f(x) = 4x -5 is 11.
Step-by-step explanation:
f(x) = 4x -5
We need to find the domain value that corresponds to the output f(x) = 11
In this question, we need to solve the expression for value of x such that the answer is 11.
if x= 3
f(3) = 4(3) -5
= 12 -5
= 7
Since we want the answer 11 so we cannot take x= 3
if x = 4
f(4) = 4(4)-5
= 16 - 5
= 11
So, if x= 4 then f(x) = 4x -5 is 11.
Answer: the group rented 11 Person tubes and 4 cooler tubes
Step-by-step explanation:
There are two types of tubes, Person tube and cooler tube.
Let P represent number of Person tubes that the group rented.
Let C represent number of Cooler tubes that the group rented.
The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information
P + C = 15 - - - - - - - 1
20P + 12.5C = 270 - - - -- - - 2
Substituting P = 15 - C into equation 2,
It becomes
20(15-C) + 12.5C = 270
300 - 20C + 12.5C = 270
- 20C + 12.5C = 270 -300
7.5C = - 30
C = 30/7.5 = 4
P = 15 - C
P = 15 - 4 = 11