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Amanda [17]
3 years ago
15

You have $30 to spend on gas for your vehicle this week. If gas costs $2.42 per gallon, how many gallons of gas can you buy? Rou

nd your answer to the nearest gallon.
Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

12 gallons of gas can be bought from $30 where gas costs $2.42 per gallon.

<u>Solution:</u>

The gallons of gas bought can be calculated by dividing the total amount possessed by cost of gas per gallon.

Here total amount possesses is $30 and cost of gas per gallon is $2.42.

Gallons of gas bought = \frac{Total\ amount\ possessed}{Cost\ of\ gas\ per\ gallon}

\bold{\frac{30}{2.42} = 12.3966 = 12}

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soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

C( \dfrac{x+3}{2}, \dfrac{y+2}{2})

Also, product of slope will be -1 .( Since, they are parallel )

\dfrac{y-2}{x-3} \times -2  = -1\\\\2y - 4 = x - 3\\\\2y - x = 1

x = 2y - 1

So, C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})

Also, C satisfy given line :

2\times ( \dfrac{2y + 2}{2})  + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}

Also,

x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}

Therefore, the symmetric points isA'(\dfrac{31}{5}, \dfrac{18}{5}) .

7 0
3 years ago
In Cary’s basketball career, he’s made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, wha
bogdanovich [222]

Answer: 150-170 free throws

Step-by-step explanation:

200 times 80% or .8 will give you 160

5% of 200 is 10 so add and subtract that to/from 160 and you'll get your range

4 0
3 years ago
If 20% of a number is 8, find 10% of that number.
Gemiola [76]

Answer:

20%=8

10%=?

by cross multiplications,

10×8=80

80÷20=4

Hence the answer is 4.

3 0
2 years ago
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3. What is slope of the line above?<br> 4. What is slope of the line above?<br><br><br> help!
Olin [163]
The answer is

3.) -1/2
4.) 4/3
3 0
3 years ago
Help please , thanks I need help please please help ?
nikdorinn [45]

Answer:

6 1/4

Step-by-step explanation:

When you look at the bar graph at the top, you will see that there are 5 of 1 1/4.

If you multiply 5 by 5/4 (which is 1 1/4 converted to an improper fraction), you get 25/4. To convert that to a mixed number, divide 25 by 4 and put the remainder over 4. The final answer should be 6 1/4.

For the X's, just count how many of each number is in the graph above. For example, there should be 2 X's over 1, 5 X's over 1 1/4, 2 X's over 1 1/2, and 2 X's over 1 3/4.

7 0
2 years ago
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