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jekas [21]
3 years ago
12

12.   Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type o

f shirt did he buy? 
       A. 3 tee shirts and 6 long sleeve shirts   B. 5 tee shirts and 4 long sleeve shirts   C. 7 tee shirts and 2 long sleeve shirts   D. 4 tee shirts and 5 long sleeve shirts
Mathematics
2 answers:
MaRussiya [10]3 years ago
7 0

The correct answer is.  A. 3 tee shirts and 6 long sleeve shirts.

iragen [17]3 years ago
3 0
6 camisas de manga larga y 3 camisetas



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The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
Determine the length of the longest metal rod which could be stored in a rectangle box 20 cm by 50 cm by 30 cm.
navik [9.2K]

Answer:

61.64 cm

Step-by-step explanation:

The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:

\therefore \: length \: of \:metal \: rod  \\  =  \sqrt{ {l}^{2} +  {b}^{2}   +  {h}^{2} }  \\  =  \sqrt{ {20}^{2} +  {50}^{2}  +  {30}^{2}  }  \\  =  \sqrt{400 + 2500 + 900}  \\  =  \sqrt{3800}  \\  = 61.64414 \\  = 61.64 \: cm

5 0
3 years ago
Read 2 more answers
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Anuta_ua [19.1K]

Answer:

Fish A is 4 inches.

Fish B is 5 inches.

Step-by-step explanation:

22=3a+2b

and

32=3a+4b

So,

a=4 and b=5

7 0
3 years ago
Under his cell phone plan, Cameron pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 pe
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Answer- 512 (hope this helps)
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A + b + c =-10 <br> x + y + z =-10<br><br> what is <br> −6c−6b+6z+6x+6y−6a?
shutvik [7]
I’m not to sure I was wondering the same thing
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