Answer:
and 
Step-by-step explanation:
First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":
(1)
Then, we are told "he sum of the two numbers is 18":
(2)
At this point we have our system of equations and now we are able to find the values of 
and 
.
So, let's begin by isolating from (2):
(3)
Substituting (3) in (1):
(4)
Finding :
(5) This is the value of
Substituting (5) in (1):
(6)
Finding :
(7)
(8) This is the value of
Answer:
The answer to your question is:
Packages of pencils = 6
Packages of erasers = 5
Step-by-step explanation:
Data
Pencils = 10/package
Erasers = 12 / package
Process
Find the least common factor of 10 and 12
10 12 2
5 6 2
5 3 3
5 1 5
1
LCF = 2 x 2 x 3 x 5 = 60
Finally divide 60 by the number of pencils or erasers in each package
Packages of pencils = 60/10 = 6
Packages of erasers = 60/12 = 5
Answer:
Step-by-step explanation:
Slope: -3
y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)
Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.
The most expensive car Dean can buy is the <span>4-door hatchback.
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22500 x .06 = 13501350 + 22500 = 23850
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Answer:
-30, 210 and 330 degrees
Step-by-step explanation:
Given the expression Sin x = - 1/2
x = arcsin(-1/2)
x = -30 degrees
Since sin is negative in the third and fourth quadrant
x = 180 + 30
x = 210 degrees
In the fourth quadrant
x = 360 - 30
x = 330
Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees
