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pogonyaev
2 years ago
15

Clarissa bought 3 cartons of milk for y cents each she gave the cashier $10. How much change did she receive? Express your answe

r in terms of y.
Mathematics
1 answer:
e-lub [12.9K]2 years ago
8 0

Answer:

The amount of change she received was (10-0.03y) dollar.

Step-by-step explanation:

Price of each carton of milk is  y cents and she bought 3 cartons of milk.

We know that, <u>1 dollar = 100 cents</u>

So,  1 cent = \frac{1}{100}=0.01 dollar.

and  y cents =0.01y dollar.

Thus, <u>the total price of 3 cartons of milk</u> =(0.01y*3)=0.03y dollar.

She gave the cashier $10.

So, the amount of change she received =(10-0.03y) dollar.

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A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar
Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

\frac{part}{whole} = \frac{percent}{100}

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

\frac{77}{x} = \frac{15.4}{100}

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

4 0
2 years ago
The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re
harkovskaia [24]
I'll just show you how to make a frequency table using the above data. 
We will group the data into class intervals and determine the frequency of the group.

<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17

Let us assign a class interval of 20.

Class Interval     Tally                              Frequency
0-20                    8, 12, 4, 18, 9,                     5
21-40                25, 32, 39, 36, 33                 5 
41-60                45, 50, 67                              3
61-80                62, 73, 80                              3
81-100              99                                           1

That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.
8 0
2 years ago
Suppose that the concentration of a bacteria sample is 100000 bacteria per milliliter. If the concentration doubles every 2 hour
Aliun [14]

Answer:

3.85 hours

Step-by-step explanation:

We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:

y = a * e ^ (b * t)

where a and b are constants and t is time.

We know that when the time is 0, we know that there are 100,000 bacteria, therefore:

100000 = a * e ^ (b * 0)

100000 = a * 1

a = 100000

they tell us that when the time is 2 hours, the amount doubles, that is:

200000 = a * e ^ (b * 2)

already knowing that a equals 100,000

e ^ (b * 2) = 2

b * 2 = ln 2

b = (ln 2) / 2

b = 0.3465

Having the value of the constants, we will calculate the value of the time when there are 380000, that is:

380000 = 100000 * (e ^ 0.3465 * t)

3.8 = e ^ 0.3465 * t

ln 3.8 = 0.3465 * t

t = 1.335 / 0.3465

t = 3.85

That is to say that in order to reach this concentration 3.85 hours must pass

4 0
2 years ago
You find a certain stock that had returns of 8 percent, −3 percent, 12 percent, and 17 percent for four of the last five years.
Tatiana [17]

Answer:

Standard deviation = 8.27 percent

Step-by-step explanation:

Average = (Σx)/N

The average is the sum of variables divided by the number of variables.

x = each variable

N = number of variables = 5

Let the unknown percent be y

6 = (8 - 3 + 12 + 17 + y)/5

y = 30 - 34 = - 4

The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.

Mathematically,

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean = 6 percent

N = number of variables

σ = √[{(8 - 6)² + (-3 - 6)² + (12 - 6)² + (17 - 6)² + (-4 - 6)²}]/(5)]

σ = √[[(2)² + (-9)² + (6)² + (11)² + (-10)²]/(5)]

σ = √[(4 + 81 + 36 + 121 + 100)/(5)] = √(342/5) = 8.27 percent.

4 0
2 years ago
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WINSTONCH [101]
6 pints of red paint
4 0
2 years ago
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