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ladessa [460]
3 years ago
12

Andre has 45 sheets of paper and needs to buy more. A store has 5 reams of paper, and each ream contains 500 sheets of paper. Th

e number of sheets of paper Andre has after purchasing x reams is represented by a function.f(x)=500x+45What is the practical domain of the function?
a. all integers from 1 to 5, inclusiveb. all real numbers from 1 to 5, inclusivec. {545, 1045, 1545, 2045, 2545}d. all real numbers
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

c. {545, 1045, 1545, 2045, 2545}

Step-by-step explanation:

Domain of a function is a set consisting of all the possible outcomes of the variable.

f(x)=500 x+45       where x= 1,2,3,4,5

the possible outcomes for this function are:

f(1)=500(1)+45= 545

f(2)=500(2)+45= 1045

f(3)=500(3)+45= 1545

f(4)=500(4)+45= 2045

f(5)=500(5)+45= 2545

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If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
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Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
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