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Ray Of Light [21]
3 years ago
8

At a recent party it cost $9.50 for refreshments for 10 guest.at this rate,how much would it cost to have refreshment for 80 gue

st?
Mathematics
1 answer:
Talja [164]3 years ago
8 0
For 80 guests you will need 80/10 = 8 times more than for 10 guests:

8*9.50 = $76

Refreshment for 80 guests costs $76.
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A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
djverab [1.8K]

Answer:

  • The function f(x) = 9,000(0.95)^x represents the situation.
  • After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  • The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

  f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

  f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0
3 years ago
Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
GREYUIT [131]

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

8 0
2 years ago
What is the greatest common factor of 63b^2c^4 and 42b^3c^2
Arte-miy333 [17]

Factor out the GCF of  

21

b

2

c

2

from  

63

b

2

c

4

+

42

b

3

c

2

.

Tap for fewer steps...

Factor out the GCF of  

21

b

2

c

2

from each term in the polynomial.

Tap for fewer steps...

Factor out the GCF of  

21

b

2

c

2

from the expression  

63

b

2

c

4

.

21

b

2

c

2

(

3

c

2

)

+

42

b

3

c

2

Factor out the GCF of  

21

b

2

c

2

from the expression  

42

b

3

c

2

.

21

b

2

c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of  

21

b

2

c

2

, it can be factored out of each term.

21

b

2

c

2

(

3

c

2

+

2

b

)

The greatest common factor  

GCF

is the term in front of the factored expression.

21

b

2

c

2

6 0
3 years ago
Read 2 more answers
Conversion. Write a reduced fraction notation for 0.56.
____ [38]

Answer:

Reduced fraction: 14/25

Step-by-step explanation:

To write 0.56 in terms of fractions we need to multiply and divide the number by 100:

(0.56 * 100)/100 = 56/100. Then we simplify the fraction by dividing the numerator and denominator by the common factor 2 as many times as possible:

56/100 = 28/50 = 14/25

The fraction 14/25 cannot be more simplified

7 0
3 years ago
Read 2 more answers
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
lys-0071 [83]
Here you go this is the answer

5 0
2 years ago
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