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kifflom [539]
2 years ago
13

Ana has at most 20 tokens to use for 4 games of darts and 5 games of bowling. Chris has at most 30 tokens to play 5 games of dar

ts and 6 games of bowling. Let x represent the dart games and let y represent the bowling games. Graph the system of linear inequalities to represent all the possible combination of games the two could play with their allotted tokens.
Mathematics
1 answer:
iren [92.7K]2 years ago
3 0
You could be able to use 5 tokens per game with equals to 20 tokens 
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The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500
GarryVolchara [31]

The rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.

<h3>Interpretation of a linear function</h3>

Let be C and x the production cost and the number of vehicles produced, it there is a <em>linear</em> relationship between the two variables, then we have the following formula:

C(x) = \dot r \cdot x + C_{o} (1)

Where:

  • C_{o} - Fixed production costs.
  • \dot r - Variable production cost rate.

In a nutshell, the rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/8223651

7 0
2 years ago
You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the
sp2606 [1]

Answer:

A

Step-by-step explanation:

The TV to have a 16:9 ratio and have a diagonal of 65 inches must have a length & width whose squares add to 4,225 (65 squared) and whose ratio length and width simplifies to 16/9.

B is not an option because 16^2+9^2\neq 65^2.

C is not an option because \frac{42.59}{21.22}\neq \frac{16}{9} which is 1.777777777778 as a decimal.

D fails for the same reason as C.

Therefore A is the solution because \frac{56.65}{31.86}=\frac{16}{9} and 65.65^2+31.86^2 = 65^2


4 0
3 years ago
) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0
3 years ago
EXPLAIN<br> A LOT OF POINTS!!!
IrinaVladis [17]

Answer:

x−(−16)=−28+12

x−(−16)=−28+12

x+16=−28+12

x+16=(−28+12)

x+16=−16

x+16=−16

x+16−16=−16−16

x=−32

3 0
3 years ago
What is the range of the graph below?<br>​
torisob [31]

Answer:

B) -4 < y

Step-by-step explanation:

The lowest point on the y axis of the graph is -4 and everything else is higher

6 0
3 years ago
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