Answer:
Treat the lesser than sign as an equal sign. What you do to one side, you do to the other. Isolate the variable x. Do the opposite of PEMDAS.
PEMDAS = Parenthesis, Exponents ( & roots), Multiplication, Division, Addition, Subtraction.
<u>Solve -6x + 14 < -28</u>
First, subtract 14 from both sides:
-6x + 14 (-14) < -28 (-14)
-6x < -42
Next, divide -6 from both sides to isolate the variable x. Note that when you divide (or multiply) by a negative number, you must flip the greater than or less than sign.
(-6x)/-6 < (-42)/-6
x > (-42)/(-6)
x > 7
x > 7 is your answer.
<u>Solve 3x + 28 < 25</u>
First, subtract 28 from both sides.
3x + 28 (-28) < 25 (-28)
3x < -3
Isolate the variable x. Divide 3 from both sides. Note that because you aren't dividing by a negative number (rather a positive 3), you do not flip the sign.
(3x)/3 < (-3)/3
x < (-3)/(3)
x < -1
x < -1 is your answer.
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Answer:
x = (7,0)
y = (0,1)
Step-by-step explanation:
Answer:
The profit he made was $109
Step-by-step explanation: 125-16=109
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
The ordered pairs are: (100, 135) and (500, 375)
The first number is the number of minutes of usage and the second number is the charge of the month.
The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
