You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
If I am wrong I am sorry >_<
Answer:
I think it's 8
Step-by-step explanation:
Because it's half of it, you can tell by the image. RT is 16 and RU is 8
Answer:
90/23
Step-by-step explanation:
First, you want to start in the parentheses. 5-6=-1, then multiply it by -2. Since a negative multiplied by a negative is a positive, -2*-1=2. -3^2=-9. 2+8=10. Then -9 times 10= -90. Then, we move on to the bottom. 5--2=7. 4^2=16, and -2(2)=-4. So -5(7) + 16-4=-23. Now, the equation should look like this, -90/-23. Put the negatives together and you get 90/23.
I think its A. I hope this helps :)
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:
![First = 23](https://tex.z-dn.net/?f=First%20%3D%2023)
![Second = 29](https://tex.z-dn.net/?f=Second%20%3D%2029)
![Third = 31](https://tex.z-dn.net/?f=Third%20%3D%2031)
Calculate the total number of beads used for all three designs
![Total =First + Second + Third](https://tex.z-dn.net/?f=Total%20%3DFirst%20%2B%20Second%20%2B%20Third)
![Total =23 + 29 + 31](https://tex.z-dn.net/?f=Total%20%3D23%20%2B%2029%20%2B%2031)
![Total =83](https://tex.z-dn.net/?f=Total%20%3D83)
The number of available beads is:
![Available = 750](https://tex.z-dn.net/?f=Available%20%3D%20750)
Divide 750 by 83, to get the total number of designs
![n = \frac{750}{83}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B750%7D%7B83%7D)
![n =9.03](https://tex.z-dn.net/?f=n%20%3D9.03)
Remove decimal (do not approximate)
![n = 9](https://tex.z-dn.net/?f=n%20%3D%209)
The number of beads remaining is calculated using:
![Remaining =Available -n \times Total](https://tex.z-dn.net/?f=Remaining%20%3DAvailable%20-n%20%5Ctimes%20Total)
![Remaining =750 -9 \times 83](https://tex.z-dn.net/?f=Remaining%20%3D750%20-9%20%5Ctimes%2083)
![Remaining =3](https://tex.z-dn.net/?f=Remaining%20%3D3)
Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536