Ajay's car used 314 gallons of gas on a trip to the beach. Assume 1 gallon = 3.8 liters. What is the best estimate of the number of liters Ajay's car used?

Answers

Answer 1
Answer:

Answer

Find out the what is the best estimate of the number of liters Ajay's car used .

To prove

As given

Ajay's car used 314 gallons of gas on a trip to the beach.

Assume 1 gallon = 3.8 liters

Than

The number of liters Ajay's car used = 314 × 3.8

                                                             = 1193.2 litres

Therefore 1193.2 litres Ajay's car used .


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How do I teach my 4th grader to divide with two digits. Example 672/32 what are the steps?

Answers

Answer/Work:
672 divided by 32
is 21 with remainder 0
= 21 R 0
= 21 0/32

Show Work:
(There are a few files that should help you see the steps of this problem, and examples (of)
 and how to do it) I hope this helps! If not, please let me know. :)


 
ok so it's simple this is the way i learned it.
     ____
32 |672  first see how many times 32 goes into 6 which is 0 so put a 0 above 6

     _0___
32 |672   now you take the remainder from the last one which is 6 and combine it with the 7 so then you see how many times how many times 32 goes into 67 which is 2 so put a 2 over it.
     _02__
32 |672    next once again take the remainder which is 1 and combine it with the next number which is 2 to make 12 then find out how many times that goes into 32 

you basically do that till you get a number without a remainder and when you run out of numbers just put a decimal and zeros after it

In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and $18 per hour washing cars. You need to earn at least $600 during the month of November.1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking.
2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars.
3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November.
4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print..
5.Use the graph and algebraic model to answer the following:
a.Why does the graph exist only in the first quadrant?
b.Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph?
c.Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph?
d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print..
6.How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model .
7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use?
8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?

Answers

#1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x.
#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.
#3. 12x+18y \geq 600

Answer:

1.

x= number of dog walking hours; x≈300

2.

y= number of car washing hours; y≈300

3.

Ax+By≥600

4.

The download

5.

a- The graph can only exist in the first quadrant because you cannot work a negative amount of hours and/or get a negative amount of money.

b- You are able to earn a exact $600 if you work 23 hours of dog walking and 18 hours of car washing.

23x12=276     18x18=324     276+324=600

c- It is possible to earn greter than $600.

30x12=360     22x18=396     360+396>600

all combinations that occur on the graph are in quadrant one

d- If you work for 10 hours walking dogs and 10 hours washing cars, you will not have enough money.

10x12=120     10x18=180     120+180=300     300<600

(10,10) is not on the line therefore it is not a possible solution for the equation

6.

The model would be changed from Ax+By≥600 to Ax+By>600 becuase you need to earn MORE than 600 so there should not be a line under the symbol. The graph of the model would not be changed because you still are earning $12 and/or $18 an hour. A dotted line and the shaded area under the line represents more than.

7.

The difference between a dotted line and a solid line is that a dotted line is either more than or less than, while a solid line is more than or equal to and less than or equal to. When graphing, you would use a dotted line for equations that are not equal to or more or less.

8.

You determine whether or not that a shaded area is either he solution to a problem or not the solution.

What is y^4-36 in simplest factored form?

Answers

y^4-36=(y^2)^2-6^2=(y^2-6)(y^2+6)=[y^2-(\sqrt6)^2](y^2+6)\n\n=(y-\sqrt6)(y+\sqrt6)(y^2+6)\n\n\n\n\na^2-b^2=(a-b)(a+b)

The basic price for an annual dental checkup and cleaning is $50. If the dentist finds any cavities in there will be an additional charge of $100 for each cavity tour dentist will have to find. Write an expression to describe the cost of the visit if the dentist finds n cavities

Answers

Answer:

100n+50

Step-by-step explanation:

the dentist charges $100 dollars per cavity found. Perindicates multiplication. Since there is an additionalfee, we add $50 to the $100n, which will make the expression

$100n+50

Simplify .
7g - 12 = 3 + 7/3g

Answers

Hey there, first we simplify, 7g-12=7/3G+3, second, we subtract 7/3G from both sides, 7g-12-7/3g=7/3G+3-7/3g=14/3g-12=3, third, we add 12 to both sides, 14/3g-12+12=3+12=14/3g=15, now, we multiply both sides by 3/14, 3/14*14/3g=3/14*15=g=45/14. Therefore, the answer is g=45/14

Imogene is baking a cake that requires two and one half cups of sugar and three and one sixth cups of flour. What are these amounts as improper fractions? :PA. 4 1/6 sugar, 2 1/2 flour
B. 19/16 sugar, 5/2 flour
C. 5/2 sugar, 19/6 flour
D. 2 1/2 sugar, 3 1/6 flour

Answers

Answer:

2 1/2 = 5/2, 3 1/6 = 19/6

The correct answer is C.