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Viefleur [7K]
3 years ago
8

Ahmed is taking orders for lunch. A slice

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

  • x+y=7; 2.5x+3.5y=21.5
  • (x, y) = (3, 4)

Step-by-step explanation:

Perhaps you want a system of equations and their solution.

You have defined the variables, so you just need to write the relationships.

  x + y = 7 . . . . we assume one order per person

  2.50x + 3.50y = 21.50 . . . . we assume Ahmed collected just enough

__

Multiplying the first equation by 2.5 and subtracting that from the second equation, we get ...

  (2.50x +3.50y) -2.5(x +y) = (21.50) -2.5(7)

  y = 4

  x = 7 -4 = 3

There were 3 pizza orders and 4 sandwich orders.

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Jotham needs 70 liters of a 50% alcohol solution. He has a 30% solution and an 80% solution available. How many liters of
Nuetrik [128]

x+y=70. (30x+80y)/(100x+100y)=50/100

6 0
3 years ago
Read 2 more answers
i have 30 coins, all nickels, dimes and quarters, worth $4.60. there are two more dimes than quarters.. how many of each kind of
Oliga [24]

Answer:

Step-by-step explanation:

I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.

..

let quarters be x

dimes = x+2

...

dimes + quarters = x+x+2=2x+2

...

nickels = 30-(2x+2)

...

5(30-(2x+2))+10(x+2)+25x=460

5(30-2x-2)+10x+20+25x=460

150-10x-10+10x+20+25x=460

160+25x=460

-160

25x=460-160

25x=300

/25

x=300/25

x=12 ---- quarters

x+2= 12+2=14 dimes

30-(2x+2)=4 nickels

...

check

4*5+14*10+12*25=20+140+300=460

4 0
2 years ago
You are offered the following gamble based on coin flips. If the first heads occurs on the first flip, you get $2. If the first
Andrews [41]

Answer:

infinity

Step-by-step explanation:

a) the expected value of this gamble in dollars is Infinity

i.e

expected value = \frac{1}{2}*2 +  \frac{1}{4}*4 +  \frac{1}{8}*8 + \frac{1}{16}*16 + ... + \to  \infty (infinty) \\

= 1+1+1+1+1 + ... = \infty

b)

When offered, most people say they would pay only less than $10 to play this game.

What are two reasons why people are willing to pay so much less than the expected value?

These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.

Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is  very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.

3 0
3 years ago
Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j2 + 3j – 28 = 0. A. 3 B. 2
Zepler [3.9K]

Answer:

C. 0

Step-by-step explanation:

–4j^2 + 3j – 28 = 0

The discriminant is b^2-4ac  if >0 we have 2 real solutions

                                                   =0  we have 1 real solutions

                                                   <0 we have 2 imaginary solutions

a = -4, b =3  c = -28

b^2 -4ac

(3)^2 - 4(-4)*(-28)

9 - 16(28)

9 -448

This will be negative so we have two imaginary solutions.

Therefore we have 0 real solutions

5 0
3 years ago
Hey! I hope everyone is doing great so far :) i'll appreciate some help, ty!
ioda
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
4 0
3 years ago
Read 2 more answers
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