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Alenkinab [10]
3 years ago
8

​'s car will go 310 miles on 15.5 gallons of gasoline in highway driving.

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer: a. 126.20 gallons.

               b. 2740 miles.


Step-by-step explanation:

We will use unitary method in this question.

a) ∵ 310 miles can be covered by a car with the help of 15.5 gallons of gasoline

   ∴ 1 mile can be covered = \frac{15.5}{310}gallons

   ∴2524 miles can be covered = \frac{15.5}{310}(2524) gallons

                                                     = 126.20 gallons

b). ∵ With 15.5 gallons of gasoline car can be driven = 310 miles

     ∴ With 1 gallon of gasoline car can go = 310/15.5 miles

     ∴ With 137 gallons can can go = (310×137)/15.5 miles

                                                         = 2740 miles.

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Wang Yong owes the bank
dusya [7]

Given:

Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.

To Find:

The amount of money he pays the bank every month and how long it will take him to pay off the full debt.

Answer:

Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.

Step-by-step explanation:

Wang Yong has borrows $8500 according to the question.

Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.

In 12 months, he would have paid the bank 12x.

But $6460 is still left out of the original $8500.

This means,

8500-12x=6460\\\\12x=8500-6460\\\\12x=2040\\\\x=170

That is, Wang Yong pays the bank $170 every month.

Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.

So, number of months = 8500 ÷ 170 = 50

That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.

6 0
3 years ago
A 3650​-year-old wooden chest is found by archaeologists. What percentage of the original Superscript 14 Baseline Upper C would
AfilCa [17]

Answer:

64.5%

Step-by-step explanation:

Initial amount N° = ?

Remaining amount after decay = N = ?

k = decay constant =  0.00012 yr^{-1}

t = time = 3650​ year

fraction remaining will be N/N°

From the decay equation, N = N°e^{-kt}

N/N° = e^{-kt}

N/N° = e^{-0.00012 x 3650 }

N/N° = e^{-0.438}

N/N° = 0.645 = 64.5%

6 0
3 years ago
Assumptions of a regression model can be evaluated by plotting and analyzing the ____________
Gala2k [10]

The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Important assumptions in regression model analysis are

  1. There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
  2. There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
  3. The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
  4. The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
  5. The error terms must be normally distributed.

Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Learn more about regression model here

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4 0
2 years ago
Fully explain why an inefficient resource allocation leads an economy to produce at a point inside its production possibilities
Stella [2.4K]
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy. 


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6 0
2 years ago
What is (9x 2/3) x 2/3
Montano1993 [528]

Answer:

4

Step-by-step explanation:

(9 x 2/3) x 2/3

9x 2 = 18

18/3 = 6

6 x 2 = 12

12/3 = 4

(9 x 2/3) x 2/3 = 4

6 0
2 years ago
Read 2 more answers
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