Answer:
Step-by-step explanation:
First lets prime factorize each number
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
45 = 3 x 3 x 5
GCF = 3 (3 is the only common prime number factor in the 3 numbers)
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 24 x 3 x 5
= 72 x 5
= 360
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Answer: the employee worked for 41 hours
Step-by-step explanation:
Let x represent the total number of hours that the employee worked. An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hour over 35. Let y represent the amount earned for x hours. Therefore
y = 7×35 + 10.5(x - 35)
y = 245 + 10.5x - 367.5
One week's paycheck (before deduction) was for $308.00. This means that y = $308.00. Therefore,
308 =245 + 10.5x - 367.5
308 = 10.5x - 122.5
10.5x = 308 + 122.5 = 430.5
x = 430.5/10.5
x = 41
Answer is C
x 《 N and x is a multiple of 5
Answer:
3y+6
Step-by-step explanation:
Simplify step-by-step.
8y+10−4−5y
=8y+10+−4+−5y
Combine like terms:
=8y+10+−4+−5y
=(8y+−5y)+(10+−4)
=3y+6
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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