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Vlad1618 [11]
3 years ago
5

Nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

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Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua
Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630    Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

Dividing both sides by 35

\frac{35x}{35}=\frac{490}{35}\\x=14

Putting x=14 in Eqn 2

y=14+14\\y=28

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

#LearnwithBrainly

4 0
3 years ago
Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the
nadezda [96]

The line needs to be 8.06 m long

Explanation

Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.

The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.

base=4m

height=7m

hypotenuse can be determined using pythagoras law

b^{2} +h^{2} =H^{2} \\x^{2} 4^{2}+ 7^{2}= H^{2} \\16+49=H^{2} \\H=\sqrt{65} \\=8.06 m

4 0
3 years ago
suppose you are in your last semester of college and have a 2.75 GPA after 105 credit hours if you are taking 15 credit hours in
Valentin [98]

Answer:

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Step-by-step explanation:

Given,

CGPA = 2.75

Credit hours = 105

Last semester GPA = 4

Last semester credit hours = 15

CGPA = \frac{sum of (Credit hours of each subject * GPA of each subject)}{Total credit hours}credit hours * gpa

in our case, it would be:

CGPA = \frac{(2.75*105)+(4*15}{105+15}

=> \frac{(288.75)+(60)}{120}

=> \frac{348.75}{120}

=> 2.90

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

7 0
3 years ago
Original price: $? Discount: 20% Sale Price: $75​
Bad White [126]

Answer:

the answer is 60

Step-by-step explanation:

so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60

5 0
2 years ago
What is the area of the triangle below? Please explain too.
Neko [114]

Answer:

144 ft^2

Step-by-step explanation:

property of 45-45-90 triangle: side lengths are 12rt2

12rt2*12rt2/2=144

5 0
3 years ago
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