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PilotLPTM [1.2K]
2 years ago
13

the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day car

e write an expression for the total cost of this week day care then evaluate the expression
Mathematics
1 answer:
drek231 [11]2 years ago
7 0

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

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There are 7 math books, 9 science books and 5 literature books. Student has to select 2 books from each set.

This is a combination problem.

Number of ways to select 2 math books from 7 books = 7C2 = 21
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Total number of ways to select 2 books from each set = 21 x 36 x 10 = 7560 ways.

So there are 7560 ways to select 2 books from each set of seven math books, nine science books, and five literature books
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A=8
B=10

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In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a
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Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

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5 0
3 years ago
Solve the linear system of equations using the linear combination method.<br><br> {8a−4b=205a−8b=62
11Alexandr11 [23.1K]
Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem. 

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40. 

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D 

So there you have your first answer. 

a = -2 

Now we're going to use the first answer to help us find b. 

For the second equation, all you're going to do is plug in that a. 

5 (-2)-8b=62 

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10 

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Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72 

The final step is to simplify. -72/11 = -9

b = -9 

Hope this makes sense! Also I had the same question on my test and I got it right. :)

6 0
4 years ago
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