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Amiraneli [1.4K]
3 years ago
9

Alan needs to drive 400 miles to reach Madison. He is driving at a constant speed of 55 miles per hour. The function y = 400 − 5

5x represents Alan’s distance in miles from Madison in terms of the number of hours he drives. Andrew is also driving at a constant speed to reach Madison. The table represents Andrew’s distance in miles from Madison in terms of the number of hours he drives.
Which statements about this situation are true?
A. Alan is driving at a faster speed.
B. Andrew is driving at a faster speed.
C. Alan and Andrew are driving at the same speed.
D. Alan was farther away from Madison when he started driving.
E. Andrew was farther away from Madison when he started driving.
F. Alan and Andrew started the same distance from Madison.
Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

At a constant speed Alan is traveling 7.27 repeating.


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Solve 2.5=x/6. <br><br> I’m confused
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Answer:

X = 15

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2.5 = x/6

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HELP ASAP!!!
Lostsunrise [7]

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5

Step-by-step explanation:

The triangle is an isosceles triangle meaning it has two equal sides and two equal base angles. 52 and y are the base angles. This means y=52.

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52+52+14x+6=180

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3 0
3 years ago
Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest
lidiya [134]
Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31   (1)

Area: A=bh   (2)

Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b   (3)

Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2

To maximize the area:
A'=0

A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b

A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
31/2=2b/2
31/2=b
b=31/2=15.5

Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2

The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
The area with these dimensions is: A=(15.5 ft)(15.5 ft)→A=240.25 ft^2

These dimensions are not in the options

1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2

The third option has the largest area.

Answer: Third option  
 
4 0
3 years ago
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