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Ket [755]
3 years ago
9

If Michael drove 135 miles on 6 gallons of gas, how far can he drive on 15 gallons of gas?

Mathematics
1 answer:
laiz [17]3 years ago
6 0

Answer:337.5 miles

Step-by-step explanation:

Find the unit rate 135/6 = 22.5/1

He can drive 22.5 miles on 1 gallon of gas

Then multiply by 15

22.5x15= 337.5

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What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac –8
Elena-2011 [213]

Answer:

32

Step-by-step explanati

everyone knows that

3 0
2 years ago
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Find the sum and express it in the simplest form.(2y^2+9y+4)+(-3y^2-3y-9)
vampirchik [111]
Since the operation between the two sets of parentheses is addition, we don't have to do anything with it, and can remove the parentheses.
Our new expression is: 2y^2+9y+4-3y^2-3y-9

Now, we just add like terms together to solve for the simplest form of the expression.
2y^2+9y+4-3y^2-3y-9
(2-3)y^2+(9-3)y+(4-9)
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Our final answer is -y^2+6y-5.
8 0
3 years ago
21 Maria sold small boxes of candy for $1 and
Anna35 [415]

Answer:

There where 10 <u>more</u> Small boxes sold than Large boxes.

Step-by-step explanation:

<u>This is a typical question that can be solved by obtaining a system of two linear equations and solving for each variable. </u>

In principle Linear Equations are algebraic expressions denoting a relationship between a Dependent variable y and an Independent variable x. In a system of Two Linear equations we have<u> two equations</u> of the same variable sets (thus Two Independent variables) so in this case both y and x will be variable terms.

Now with respect to the question and the given information, here our two Variable terms will be the small and the large boxes.

<u>Given Information:</u>

  • Small Boxes (lets call them s) cost $1 per box
  • Large Boxes (lets call them l) cost $4 per box
  • Total Number of Boxes sold is 30
  • Total Profit from sold Boxes is $60

Thus from the above we can obtain one equation denoting the Total Number of Boxes sold and one equation denoting the Total Profit from sold boxes, respectively, as follow:

s+l=30        Eqn(1): Total Number of Boxes

1s+4l=60     Eqn(2): Total Profit from sold boxes

Now we have a system of two linear equations which we can solve and find the number of small and large boxes, s and l respectively.

From Eqn(1) we see that

s=30-l      Eqn(3).

Plugging Eqn(3) in Eqn(2) we can solve for l as:

1(30-l)+4l=60

30-l+4l=60       Factored out bracket

3l=60-30          Gather similar terms on each side and simplify

3l=30

l=\frac{30}{3}

l=10

Plugging in the value for l=10 in Eqn(3) we have

s=30-10\\s=20

So we know that they were<u> 10 Large Boxes and 20 Small Boxes sold</u>, thus to answer our question, there where 10 more Small boxes sold than Large boxes.

5 0
3 years ago
A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. Th
zysi [14]

Answer:

196 tickets

Step-by-step explanation:

The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:

5x ≥ 980

Dividing through by 5:

x ≥ 980

x ≥ 980/5

x ≥ 196

Therefore the producer must sell at least 196 tickets so as to make a profit

3 0
3 years ago
What is 700070.07 is standard form??
mojhsa [17]
The standard form is
8 0
3 years ago
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