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Hunter-Best [27]
4 years ago
6

Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 1

00 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue consuming that same number of calories per day. In how many days will that be?
Mathematics
1 answer:
GenaCL600 [577]4 years ago
4 0
C is Celia's calorie count and R is Ryan's. d = days
C = 1200 + 100d
R = 3230 - 190d
Since you want to find when they will consume the <em>same</em> amount of calories, you set the two equations equal to each other: 1200 + 100d = 3230 - 190d.
Then, subtract 1200 from both sides: 100d = 2030 - 190d. Next, add 190d to both sides: 290d = 2030. Therefore, the number of days is eqal to 2030/290, which is 7.
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mote1985 [20]
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6 0
4 years ago
When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function
CaHeK987 [17]

Answer:

M(B(h))=78.18025h

Step-by-step explanation:

First we have the following equations:

L(h) = 28.75h         eq. 1

B(L) = 1.78L            eq. 2

M(B) = 1.43B           eq. 3

To find the selling price based on the estimated number of hours, we need to start replacing equation 1 in equation 2 as:

B(L) = 1.78*B  

B(L(h)) = 1.78*(28.75h)

B(L(h)) = B(h) = 51.175h       eq. 4

Finally, if we weplace equation 4 in equation 3, we get:

M(B) = 1.43B

M(B(h)) = 1.43*(51.175h)

M(B(h)) = 73.18025h

So, the composite function that can be used to find the selling price for the labor portion of a bid based on the estimated number of hours is:

M(B(h)) = 73.18025h

4 0
4 years ago
The cost of drinks and a pizza for three people is $14.90 before tax.
Maurinko [17]

Answer:

2.235 $

Step-by-step explanation:

total cost of food = 14.9

15% of 14.9 is 2.235$

7 0
3 years ago
Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many stu
Nikolay [14]

Answer:

456 students

Step-by-step explanation:

In order to find 95% of the 480 students, you can set up the equation below:

\frac{students}{total} = \frac{percent}{100percent}

\frac{x}{480students} =\frac{95percent}{100 percent}

x * 100 = 480 * 95

x = 45600 / 100 = 456

95% of 480 students is 456 students.

5 0
3 years ago
#9 i need help it would really be appreciated
son4ous [18]
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.

40 ÷ 5 = 8

It makes 8 copies every minute. 

Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13. 

8 • 12 = 96
8 • 13 = 104

Since those answers match up with the chart, it must be correct.

The photocopier makes 8 copies every minute. Hope that helps!


4 0
3 years ago
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