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kicyunya [14]
3 years ago
15

How many ways can you make a 3 letter arrangements out of the letters in the word trapezoid

Mathematics
1 answer:
seropon [69]3 years ago
7 0

504

i just googled an old lesson i had done

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You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f
Anastasy [175]

Answers:

one t-shirt costs  $10

one pair of shorts costs  $15

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

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

  • 13x-13x becomes 0x or just 0, and the x terms go away.
  • 17y-12y becomes 5y
  • 385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

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

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0
2 years ago
How to solve this with steps
LekaFEV [45]
I want to answer this, but I can't tell what the picture is. (please take a better photo)
4 0
3 years ago
Mandy is saving money to buy a new car. For the past 4 weeks, she has added $273 each week to her account. She also added $230 t
aleksley [76]

Answer:

$1654

Step-by-step explanation:

332+230= 562

273*4+562

1092+562

1654

4 0
3 years ago
I will give you 80 points If you help me please help me
Mnenie [13.5K]

Answer:

Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level

Step-by-step explanation:

Elevator one is moving up, so it means it's above ground level since it started on the ground

Elevator is moving negative floors, so it is moving below.

Let me know if you have any questions!

6 0
2 years ago
Consider this right angle
Zarrin [17]
To solve this problem you must apply the proccedure shown below:

 1. You have that the ratio of the tangent function is:

 tan(angle)=opposite/adjacent

 2. Keeping this on mind, you have:

 tan(A)=12/5

 Therefore, the answer is: 

 tan(A)=12/5
8 0
3 years ago
Read 2 more answers
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