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Bingel [31]
2 years ago
9

A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4

x 103 milliliters of sugar water.
Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear
professor190 [17]

Answer:

r(t)=100,000t+600,000

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

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The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2,000,000-1,000,000}{14-4}

m=\frac{1,000,000}{10}

m=100,000\frac{readers}{year}

step 2

Find the equation of the line in point slope form

r-r1=m(t-t1)

we have

m=100,000\\point\ (4,1,000,000)

substitute

r-1,000,000=100,000(t-4)

step 3

Convert to slope intercept form

r=mt+b

isolate the variable r

r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000

step 4

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2 years ago
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen
Rudik [331]
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.

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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.

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C. False. The answer is roughly 0.000858 as shown by the calculation below

(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858

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D. False. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495

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E. True. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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2 years ago
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A campus deli serves 300 customers over its busy lunch period from 11:30 a.m. to 1:30 p.m. A quick count of the number of custom
Irina-Kira [14]

Complete question is;

A campus deli serves 300 customers over its busy lunch period from 11:30 am to 1:30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. What is the average amount of time that a customer spends in process?

Answer:

4 minutes

Step-by-step explanation:

For this question, we will apply Little's law which is is a theorem that determines the average number of items in a stationary queuing system, based on the average waiting time of an item within a system and the average number of items arriving at the system per unit of time.

The formula for the law is:

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We are given;

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Average flow time = average inventory/flow rate = 10/2.5 = 4 minutes

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Mr.Foote placed a cement walk along the side of his house. The walk if 18 inches wide and 32 feet long. What was the cost of the
Sonja [21]

we know that

1 ft-------> is equal to 12 in


step 1

find the area of the walk

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$100.80


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