<span>40 <= x =<100 inequality shows the right answer.
Explanation:-
Since she has to reach the $200 mark by selling cakes at the rate of $5 each.
So, the minimum number of cakes should be 200/5 which is equals to 40.
Hence minimum value of number of cakes (x) = 40
It is given that She has 100 cakes this implies that maximum value of x can be 100.
hence X can be any value between 40 to 100 both inclusive.</span>
Answer:
Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:
Further notes:
In interval notation, this is:
![(-\infty,0]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C0%5D)
Answer:
x= -8
Step-by-step explanation:
you combined the two equations to equal 180 since CIA are supplementary and the you solve the equation.
Answer:
x = 16
y = 116
Step-by-step explanation:
Given is a figure of isosceles trapezoid. One pair of opposite sides are parallel and non-parallel sides acts as it's transversals.
Therefore,
4x° + (6x + 20)° = 180° ( interior angles on the same side of transversal)
(6x + 20 + 4x)° = 180°
(10x + 20)° = 180°
10x + 20 = 180
10x = 180 - 20
10x = 160
x = 160/10
x = 16
Measure of base angles of an isosceles trapezoid are equal.
Therefore,
y° = (6x + 20)°
y = 6x + 20
y = 6*16 + 20
y = 96 + 20
y = 116
Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
