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Lunna [17]
3 years ago
15

Javier's fuel tank holds 12 3/4 gallons of gasoline when completely full. He had some gas in the tank and added 10.3 gallons of

gasoline to fill it completely.
Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Answer:

2.45 gallons of gasoline were in the tank before.

Step-by-step explanation:

Consider the provided information.

The tank can hold 12\frac{3}{4} gallons of gasoline when completely full. He had some gas in the tank and added 10.3 gallons of gasoline to fill it completely.

We need to find: How many gallons of gasoline were in the tank before Javier added some?

For this, we need to subtract added gallons of gasoline from the capacity of the tank.

12\frac{3}{4}-10.3=\frac{51}{4}-10.3

=12.75-10.3

=2.45

Hence, 2.45 gallons of gasoline were in the tank before.

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Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

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4 years ago
Every employee works 7 hours per day. every employee works 5 days per week. every employee works 49 weeks per year. how many day
andriy [413]
To determine the number of days that an employee work in a week, we simply use dimensional analysis and multiplying the number of works per week with the number of weeks in total for a year. That is,
                         employee works = (5 days per week)(49 weeks per year) 
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4 0
3 years ago
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Do problem 6 show work i will give brainliest if ur correct.
aliina [53]

Step-by-step explanation:

they forget the last step which is to take the square root of the sum

7) a = 4

b = 17

a² + b² = c²

4²+ 17² = c²

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305 = c²

√305 = c

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3 years ago
HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m
Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
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In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

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P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}

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More can be learned about the monthly payments formula at brainly.com/question/26267630

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2 years ago
The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets ad
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The cost of each cavity is represented as 100x, because each cavity costs $100. x represents the number of cavities, as we do not know how many cavities there are.
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3 years ago
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