Answer:
Step-by-step explanation:
Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;
AO+OB = AB
(-OA)+OB = AB
-50+104 = AB
AB = 54
If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5
AP = 54/6
AP = 9
PB = 54-9
PB = 45
Hence the point P is located at 9 units from A and 45 units from B
The simplified form of the fraction 31/33 is 31/33.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
A fraction,
31/33.
A fraction that can not be factorized further is the simplest form of the fraction.
31 and 33 both numbers do not have a common divisor other than 1.
Therefore, 31/33 is in the simplest form.
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9514 1404 393
Answer:
(a) 360 inches cubed
Step-by-step explanation:
The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.
(1/3)(1080 in³) = 360 in³ . . . . the pyramid volume
y = 40 + 90x. Which statement represents the meaning of each part
of the function?
(1) y is the total cost, x is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.
(2) y is the total cost, x is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(3) x is the total cost, y is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(4) x is the total cost, y is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.
Answer:
Option (2).
Step-by-step explanation:
A satellite T.V. company charges one time installation fees along with monthly service charge.
Total cost is modeled by the function y = 40 + 90x
Here y = Total cost charged by the company
A one time installation charges = $40
Service charge for a month = $90
and number of months for which service was used = x months
Therefore, Option (2) explains the function well.