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Elis [28]
3 years ago
11

6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00 dollars. Each plate costs the same amount as the other pl

ates, each cup costs the same amount as the other cups. What is the cost of one plate? What is the cost of 1 cup?
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28  equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60  equation 3

42p + 36c = 168  equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4)  = 23.80

p = (23.80 - 7) / 6

p = 2.8

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If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace
valina [46]

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}

or about $1.46 per game.

3 0
3 years ago
Can someone help me with theeseeeeeeee
Whitepunk [10]
Wait but that is a test don't you need to look at a book or something insteadt of waiting for the answers
8 0
3 years ago
Read 2 more answers
(10-3)*2+(5-14/2 help
Dafna11 [192]
2(10-3) distribute = 2*10 is 20 and 2*3 is 6
20-6+(5-14/2)
now 20-6 is 14
14+(5-14/2)
now 14/2 is 7
14+(5-7)
now 5-7 is -2
14+-2
is 12 
the answer is 12
but if you want to you can do 12/3 to get the greatest common factor 
which is 4
hope i help you :P 
6 0
3 years ago
Read 2 more answers
I don´t understand this: Lin’s father is paying for a $20 meal. a) He has a 15%-off coupon for the meal. How much is the discoun
Naddika [18.5K]

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Pls give brainiest

7 0
3 years ago
I think the answer is c can someone check me
Katen [24]

Answer:

D

Step-by-step explanation:

you first have to find the domain by finding where the expression is defined

so the answer would be x>5

6 0
3 years ago
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