Answer: 74 ft^2.
Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.
Answer:
The correct answer is 10.
Step-by-step explanation:
Faruq spends all of his income ($100) on tacos and milkshakes.
Price of tacos is $10, and the price of milkshakes is $2.
Let Faruq buy x number of tacos (horizontal axis) and y number of milkshakes (vertical axis).
Total expenditure of Faruq is given by 10 × x + 2 × y.
Since Faruq does not save anything, therefore his expenditure is equal to his income.
Thus his budget line is given by 10 × x + 2 × y = 100.
To calculate the horizontal intercept for Faruq's budget line we consider y = 0, i.e. we want to calculate how many tacos Faruq would buy when he does not buy any amount of milkshakes.
Thus taking y = 0, we get
10 × x = 100
⇒ x = 10
Thus the horizontal intercept for Faruq's budget line is 10.
Answer:
122.5
Step-by-step explanation:
Let the student normal score be 100
In the beginning score increased by 40%
Hence score at the beginning =100+40 = 140%
Now before end score decreased by 25%
Decrease = 25% of 140 = 35
Hence score at the end of month = 140-35 = 105
Average score for the month
= Total of scores of end and beginning month /2
= 
Answer:
Opt B.
Step-by-step explanation:
Remember that the equation of a line tells us that y=mx+b, where m is the slope (Which we have and is -8), just need to find b, for that, lets eval the given point (1,-5) in the above equation.
-5=-8*1+b
Where we obtain that b=3
Our line is written as y=-8x+3
And in standard form that would be (grouping variables in the same side of equality sign)
y+8x=3
Answer:
The number of vertices are 
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
so
substitute the values and solve for V
