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OLga [1]
2 years ago
10

A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 3 miles to the roa

d each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 39 days.
Mathematics
1 answer:
patriot [66]2 years ago
6 0
53+3(D) = L

53 + 3(38) =L

53 +114 = L

167=L
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(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the
Vanyuwa [196]

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

6 0
2 years ago
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFra
Natasha_Volkova [10]

Answer:

B or (-1)(1/2)(-1)(1)

Step-by-step explanation:

-4/5 is closest to (-1)

3/5 is closest to 1/2

-6/7 is closest to (-1)

5/6 is closest to 1

hope this helps

7 0
2 years ago
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
4. Samantha is studying the geometric design of roads. She uses a surveying tool to measure the angles
algol13

Answer: the value of x is 8, the measure of angle A is 42, angles A and B are same side interior angles.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
8(5021)(3054)+(-8)(-5021)(-3054)+3
kifflom [539]

Answer:

3

Step-by-step explanation:

first two terms cancel eachother out!

5 0
2 years ago
Read 2 more answers
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