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ella [17]
3 years ago
5

Tom has read the first 40 pages of a book. He plans to read another 12 pages each day Write an equation that represents the rela

tionship between the total number of pages, p, and the number of days he has been reading , d.
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

p=12d+40

Step-by-step explanation:

-This is a linear relationship problem modeled as:

y=mx+c

where:

  • y is the quantity at variable x
  • m is the slope
  • c is the constant of increment or decrement.
  • x is the variation variable.

Given the constant 40, and 12 pages per day as the rate of change we substitute our variables in the form of the formula above as:

p=12d+40

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An old truck has a fuel efficiency rating of 12 mpg. What is the cost
andrew-mc [135]

Answer:

The cost of 5 gallons of fuel would be 5x assuming the cost of 1 gallon to be x.

Step-by-step explanation:

An old truck has a fuel efficiency rating of 12 mpg.

We have to find the cost of gasoline that will be used up after we drive 60 miles.

To drive 60 miles , it uses 5 gallons.

let the cost of 1 gallon of fuel be x.

We have to find the cost of 5 gallons of fuel.

So the cost of 5 gallons of fuel = 5\times coat of 1 gallon of fuel

                                                      = 5x

5 0
3 years ago
The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in
Juliette [100K]

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

4 0
3 years ago
What is the unit value of the 6 in 216
Ierofanga [76]
The unit value if the 6 is the ones place
6 0
3 years ago
Is algebra.
Ket [755]

Answer:

6(x-10)(x+9)

Step-by-step explanation:

First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression 6(x^{2} +x-90). Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, 6(x-10)(x+9).

5 0
3 years ago
The length of a rectangular garden is 3 yards greater than the width of the garden. If the garden measures 15 yards diagonally,
aliina [53]

15 x 3= 45 so therefore 45 is the length hope that help!

4 0
3 years ago
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