X + 68 with a remainder of (-592)
Answer:
Length of the base is 16 yards.
Step-by-step explanation:
We are given that,
Area of the triangle = 80 yd²
Height of the triangle = 10 yards
Since, we know,
Area of a triangle = 
So, we get,
i.e. 
i.e. 
i.e. Base = 16 yards
Thus, the length of the base is 16 yards.
Domain: all real numbers, since no number can make this function undefined
Range: since this an upward opening parabola(because the quadratic coefficient is positive), and the minimum point is 23, the range is going to be any number equal or greater than 23.
Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Answer:
Step-by-step explanation:
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