A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. How many text messages did you have? Write an equation using x as the variable and then solve the equation.
Answers
Answer: 2 text
Step-by-step explanation:
1 text costs a monthly fee + $0.25
monthly fee = $30.00
1 text = $30.00 + $0.25 =$30.25
Using proportion
1text = $30.25
X text = $59.50
Cross multiply
X × $30.25 = $59.50 × 1
Divide bothside by $30.25
X = $59.50 / $30.25
X = 1.966
X = 2 approximately
Therefore number of texts = 2
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After I explain the procedure in full detail, you'll be able to generate
your own work. Here it is.
To find the greatest common factor of two numbers:
1). List all of the factors of the first number.
2). List all of the factors of the second number.
3). Scan both lists, and find factors that are on BOTH lists.
These are the COMMON factors. Write them down in a short list.
4). Scan the short list. Find the biggest number on it.
That's the Greatest Common Factor.
OK, I'll go through the first one in your picture . . . 24 and 42 :
1). Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
2). Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
3). Short list: 1, 2, 3, 6
4). Biggest number on the short list: 6
number : answer
(1.) 6
(2.) 7
(3.) 4
(4.) 12
(5.) 3
(6.) 10
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When a function is in slope-intercept form, or y = mx + b form, the slope is always the number multiplied by x, or m, and the y intercept is always the number following the slope and x, or b.
In this case, the slope would be 1/3 and the y intercept would be -2.
Hope this helps!
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Answers
Answer:
(a) 3x -y = 7
(b) x +3y = 29
Step-by-step explanation:
(a) The standard form of the given line is ...
3x -y = 5
The parallel line will have a constant on the right that makes it go through (5, 8), so it will be ...
3x -y = 3(5) -(8)
3x -y = 7
__
(b) The perpendicular line will have coefficients for x and y swapped and one of them negated. Again, the constant is chosen to make it go through (5, 8).
x + 3y = (5) +3(8)
x + 3y = 29
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