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MA_775_DIABLO [31]
3 years ago
14

The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether

the Fullers can reach the national park. Show your work or explain your answer.
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

The Fullers can reach the national park

Step-by-step explanation:

<u><em>The complete question is</em></u>

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles

Compare with the distance to the national park

520\ miles>515\ miles

therefore

The Fullers can reach the national park

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UkoKoshka [18]
If the gum costs 75 cents today, which is 3 cents less than three times what the pack cost 20 years ago, we just need to arrange what we know into an equation.
We know that the price of gum today is 75 cents, so we can leave that on one side of the equation as a constant. Also, since we are dealing only with cents and not dollars, there is no need to shift the decimal point to the left.

? = 75

Now, we can work the equation.

The problem tells us that 75 is 3 cents less than three times the old cost. So, if x is the old cost, we can work out the equation based on that.
It says that it's 3 cents less than 3 times x. The question is basically the equation in word form.

3x - 3 = 75

'3x' being the "three times the old cost" part, '- 3' being the "3 cents less" part, and '75' of course being the current price of a pack of gum.
Option C is your correct answer.

BTW if we were to solve this, we would see that the old price of a pack of gum is:

3x - 3 = 75
   + 3      + 3

3x = 78
/3      /3

x = 26

20 years ago, a 75-cent pack of gum cost 26 cents.
Hope that helped! =)
7 0
3 years ago
Read 2 more answers
-25-6= -25 + -6 = -31
VashaNatasha [74]

30 + 40 1- 40 = 69

Step-by-step explanation:

4 0
3 years ago
Which is the graph of the function f(x) = 1/2x2 + 2x - 6?
Morgarella [4.7K]

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2

The only one to do that is diagram A

Step-by-step explanation:

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2 years ago
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Where is the figure KingBroski?
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3 years ago
Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are ther
damaskus [11]

Answer:

14 quarters and 28 nickels

Step-by-step explanation:

System of Equations where x = number of quarters and y = number of nickels

(1) equation with value of each coin

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(2) total number of coins

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Solve system of equations using either substitution or elimination

(elimination multiplying equation 2 by -0.5)

.25(x) + 0.05(y) = 4.90

-0.05(x) - 0.05(y) = 42 * (-0.05)

(3) Resulting equation

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x = 14

plug x into equation 2

14 + y = 42

y = 28

There are 14 quarters and 28 nickels in Mary's collection.

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