Answer: The number is 0.75 or 3/4
Step-by-step explanation:
let x = the number.
Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)
Then, that equals 3 more than the number (x) = x+3
So the equation is x-(-4x)=x+3.
Then, solve the equation!
x-(-4x)=x+3
x+4x=x+3 (Distribute the negative to the parentheses)
5x=x+3 (Combine like terms)
4x=3 (Get the Xs on one side by subtracting x from both sides)
x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)
<span>A) y = 3x because the slope (rate of change) is 3. The y-intercept is 0 so we don't necessarily need to add anything else.
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Answer:
Theatre C.
Step-by-step explanation:
Theatre A:
60 of the 80 seats are taken.
% seats taken = seats taken/total seats * 100
= 60/80 * 100
= 75%
Theatre B:
Total seats = number of seats taken + number of empty seats
= 42 + 18
= 60
% seats taken = seats taken/total seats * 100
= 42/60 * 100
= 70%
Theatre C:
Total seats = number of seats taken + number of empty seats
90 = X + 18
X = 72
% seats taken = seats taken/total seats * 100
= 72/90 * 100
= 80%
Theatre C with 80% of seats taken.
The correct answer is is D) If the group sells 15 prints they will loose $85.
To figure out which statement is true, we have to evaluate the function ,
for all the values given in options (A)-(D). A negative output represents a loss and a positive output will represent a profit.
In A 
so 
. In this case we gather that if they sell 12 prints, they will make a loss of $136. This tells us that option A is wrong.
In B, 
so 
. In this case we gather that if they sell 28 prints, they make a profit of $136. This tells us that option B is wrong.
In C, 
so 
. In this case we gather that if they sell 35 prints, they make a profit of $225. This tells us that option C is wrong.
Lastly, 
so 
. In this case we gather that if they sell 28 prints, they make a loss of 85 dollars. From this we gather that D is the correct option.
