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r-ruslan [8.4K]
2 years ago
11

Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people. 36 p

eople 4 lb per person
Mathematics
1 answer:
Alenkasestr [34]2 years ago
6 0

Answer:

C. 1/4 lb of chicken per person

Step-by-step explanation:

Find the rate of change for the situation.

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

A. 9/17lb per person

B. 4 lb per person

C. 1/4 lb per person

D. 36 people

Solution

9 lbs of chicken for 36 people

Chicken per person = Total lbs of chicken / Total number of people

= 9 lbs / 36 people

Chicken per person = 1/4 lb of chicken per person

17 lbs of chicken for 68 people

Chicken per person = Total lbs of chicken / Total number of people

= 17 lbs / 68 people

= 1/4 lb of chicken

Chicken per person = 1/4 lb of chicken per person

Therefore, the rate of change of the situation = 1/4 lb of chicken per person

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A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be
Andrei [34K]

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

3 0
3 years ago
Pleaseee help!!! If you can, answer both :))
kherson [118]
Okay the first one is what u did lol
6 0
2 years ago
A polling organization asked a nation-wide random sample of 1600 new brides (those who got married in the past 2 years) the foll
iren [92.7K]

Answer:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

Step-by-step explanation:

Given that:

sample size n = 1600

sample mean \overline x = 20000

standard deviation = 5000

The objective is to choose from the given option about what most closely resembles the relevant box model.

The correct answer is:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000

Similarly, the standard error for the sample mean = \dfrac{s}{\sqrt{n}}

= \dfrac{5000}{\sqrt{1600}}

= \dfrac{5000}{40}}

the standard error for the sample mean = 125

4 0
2 years ago
Factorise 18a³b³- 27a²b³ +36a³b²​
irinina [24]

Answer:

(9a^2b^2(2ab - 3b + 4a).

Step-by-step explanation:

Take out the GCF.

The GCF is 9a^2b^2 so the factors are

(9a^2b^2(2ab - 3b + 4a).

3 0
2 years ago
Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used
atroni [7]

Answer:

The pecans used in the mixture =  8 kg

The almonds used in the mixture  =  17 kg

Step-by-step explanation:

The cost of per kg of pecans  = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture  = 25 kg

Let us assume the weight of pecans in the mixture   =   m kg

So, the amount of almonds in the mixture  = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans  = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

                                              =  28.50 m

cost of (25- m) kg almonds  = (25 -m)  x ( cost of 1 kg almonds)

                                                = (25 - m) x ( $ 22.25)

                                                =  556.25  - 22.25 m

Total cost  of 25 kg of mixture  = 25 x ( $24.25) =  $606.25

Now, Total Cost of (almonds  + Pecans)  = Total cost of mixture

⇒28.50 m + 556.25  - 22.25 m  = $606.25

or,6.25 m =  50

or, m = 50/6.25 =  8

Hence, the pecans used in the mixture = m = 8 kg

And the  almonds used in the mixture  = (25 - m) = 25 - 8 = 17 kg

5 0
2 years ago
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