The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
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Answer:1.5 hours
Step-by-step explanation:
$8.50 is for 1/2 hour
In $25.50, the can use for (25.5*.5)/8.5 = 1.5 hours
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
= 
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer:
You will put 1220.83ft³ of water in the pool
Step-by-step explanation:
radius = half of diameter
d = 18ft
r = 18ft / 2 = 9ft
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 6ft
π = 3.14
r = radius = 9ft
v = (π * r²) * h
we replace with the known values
v = (3.14 * (9ft)²) * 6ft
v = (3.14 * 81ft²) * 6ft
v = 254.34ft² * 6ft
v = 1526.04ft³
The volume of the cylinder is 1526.04ft³
If it is filled to 80% then we have to multiply the volume by 80/100
1526.04ft³ * 80/100 = 1220.83ft³
You will put 1220.83ft³ of water in the pool
The prime factors are: 2 x 2 x 2 x 2 x 2 x 3 x 5
