You went to the supermarket and bought 27 liters of milk and 45 loaves of bread for a total of $99. A month later, you bought 12 liters of milk and 12 loaves of bread at the same prices, for a total of $30. What is the price of a gallon of milk?

The range is the difference between the largest and the smallest and the range is 5.2

This is a graph that is divided into two vertical axes such that one axes represent the stem and the other axis represents the leaf

From the question, we have the following parameters:

Stems = 12, 13, 14, 15, 16, and 17

Each of these stem elements have their own leaves

So, the complete stem and leaf plot is as follows

12     |  3, 3, 6, 7, 9, 9.

13     |  1, 1, 4, 5, 5.

14     |  0, 0, 2, 3, 3, 8, 8, 9.

15     |  2, 2, 2, 2, 2, 3, 5, 5, 7.

16     | 4, 5, 5, 9, 9.

17      | 3 5.

Key

12 | 3 means 12.3.

To determine the range, we simply take the smallest number and the largest number represented by the plot and calculate the difference

In (a), we have

The range is calculated from the smallest number and the largest number represented by the plot

So, we have

Smallest = 12.3

Largest = 17.5

So, the range is

Range = 17.5 - 12.3

Evaluate

Range = 5.2

Hence, the range is 5.2

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Answer: f= -3x^2-x-1/ x

Step-by-step explanation:

Pi is a mathematical constant, and its value does not depend on a particular location such as Indiana.

The value of pi is approximately equal to 3.14159, and it is the ratio of the circumference of a circle to its diameter. Therefore, the value of pi is the same in every part of the world, including Indiana.

Pi is a non-terminating and non-repeating decimal number. This means that the digits of pi continue forever without repeating in a pattern. As a result, it is often approximated as 22/7 or 3.14 for ease of calculation in many mathematical applications.

The concept of pi has been around for thousands of years, and it is used in many different fields, including mathematics, physics, engineering, and technology. Its significance in these areas is due to its ability to help solve complex problems and perform calculations with a high level of accuracy.

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Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

Let f be a function such that lim h→0 (f(2+h) - f(2)) / h = 5.

We can calculate this limit as follows:

lim h→0 (f(2+h) - f(2)) / h = lim h→0 (f(2+h) / h) - (f(2) / h)

= lim h→0 f(2+h) / h - lim h→0 f(2) / h

= lim h→0 f(2+h) / h - 0

= lim h→0 f(2+h) / h

= 5

Therefore, I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

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The given statement " The normal curve is symmetric about its​ mean, u" is true because it is equally distributed on both the sides of the mean.

The normal curve is always symmetric about the line representing its mean, u.

This means that the curve is equally distributed on both sides of the line representing the mean.

And the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean.

This is a defining characteristic of the normal distribution.

Which is widely used in statistics due to its many useful properties.

Therefore, the normal curve is symmetric which is about its mean is a true statement.

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The above question is incomplete, the complete, question is:

The normal curve is symmetric about its​ mean, u. T/F.

Answer:

He can buy 160 crates of apples and 40 crates of pears. (160, 40).

Step-by-step explanation:

From the information given, you can write the following equations:

25x+25y=5000 (1)

6x+5.50y=1180 (2), where:

x is the number of crates of apples

y is the number of crates of pears

First, you can solve for x in (1):

25x=5000-25y

x=(5000/25)-(25y/25)

x=200-y (3)

Then, you can replace (3) in (2) and solve for y:

6(200-y)+5.50y=1180

1200-6y+5.50y=1180

1200-1180=6y-5.50y

20=0.5y

y=20/0.5

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=200-y

x=200-40

x=160

According to this, the answer is that he can buy 160 crates of apples and 40 crates of pears. (160, 40).

Answer:

he is not correct

Step-by-step explanation:

he didn't evenly distribute the -6 to whats in the parentheses

Answer:

No, the work is not correct. The distributive property was not used properly to expand the expression. Negative 6 should be multiplied by both terms in the parentheses. The second product should be -6 times -2/13 to get positive 12/13.

Step-by-step explanation:

Sample response

Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

The population mean and std error  are 56 and 3.079 respectively .

What is population mean?

The population means is the mean or average of all values in the given population. It can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Given that a population has mean as 56 and std deviation as 16.

The above are population parameters.

Whenever random samples are drawn for large size, by central limit theorem we have the sample mean will follow a normal distribution with mean = population mean and std error = std deviation/sqrt of n

Hence here sample bar will be normal with

Mean of x bar = 56

Std error of x bar =  \(\frac{16}{\sqrt{27} } = 3.079\)

Hence , the population mean and std error  are 56 and 3.079 respectively .

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Answer:

"9 more than A" is a verbal expression.

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

it should be (2,-7.5) if u use the midpoint formula i think

Step-by-step explanation:

(2,-15/2) would be the answer if u leave it in fraction form

Answer:

18.333 km

Step-by-step explanation:

since d car used 3litre for 55km so

for 1litre is going to be 55

\(55 \div 3 = 18.33\)

thats it

\(\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\((3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\\)

\( ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\\)

\( ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\\)

\( ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\\)

\( ➺\: - 15x = - 2\\\)

\(➺ \: x = \frac{ - 2}{ - 15} \\\)

\(➺ \: x = \frac{2}{15}\\ \)

\( ➺\: x = 0.1333\)

\(\huge\bf\purple{*Mystique 35♡༉}\)

The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:

First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.

Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.

Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.

Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:

(4/6) * (4/6) = 16/36

To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):

16/36 = 4/9

So, the probability of drawing 2 green balls simultaneously is 4/9.

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Answer: 68

Step-by-step explanation:

100-32 = 68

Answer:

The answer is in the picture

Step-by-step explanation:

hope it helps!

Answer:

Fraction: 44/100 or 22/50 or 11/25

Decimal: 0.44

Percent: 44%

Answer:

\(\frac{11}{25}\) (as a fraction), 0.44 (as a decimal), or 44% (as a percent)

Step-by-step explanation:

Find the total squares. (100)

Find the filled squares. (44)

Divide the filled squares by the total squares. (44 ÷ 100)

Convert to fraction. (\(\frac{44}{100}\))

Simplify (\(\frac{11}{25}\))

Answer: \(\frac{11}{25}\) or 0.44 or 44%

To convert to a decimal, divide 11 by 25. To convert to a percent (%) divide 11 by 25 and multiply by 100.

Answer:

I need points so sorry i can't answer it :(

Step-by-step explanation:

Hadley paddle 8/3 miles per hour or \(2\frac{2}{3}\) miles per hour.

What is unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given that Hadley paddled a canoe for 2/3 mile in 1/4 hour.

In other word,

After 1/4 hour, he can cover 2/3 mile.

Now applying unitary method,

After 1 hour, he can cover (2/3) ÷ (1/4) mile.

Now convert division sign to multiplication, by taking reciprocal of the second fraction:

= (2/3) × (4/1) mile

Now multiply the denominator with denominator and numerator with numerator:

= (2 × 4)/ (3 × 1) mile

= 8/3 mile

Rewrite the improper fraction into mixed fraction:

= (6/3) + (2/3) miles

= 2 + (2/3) miles

= \(2\frac{2}{3}\) miles

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

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Answer:

\(\sin 2A + \csc 2A = 2.122\)

Step-by-step explanation:

Let \(f(A) = \sin A + \csc A\), we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

\(\csc A = \frac{1}{\sin A}\) (1)

\(\sin^{2}A +\cos^{2}A = 1\) (2)

Now we perform the operations: \(f(A) = 3\)

\(\sin A + \csc A = 3\)

\(\sin A + \frac{1}{\sin A} = 3\)

\(\sin ^{2}A + 1 = 3\cdot \sin A\)

\(\sin^{2}A -3\cdot \sin A +1 = 0\) (3)

By the quadratic formula, we find the following solutions:

\(\sin A_{1} \approx 2.618\) and \(\sin A_{2} \approx 0.382\)

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

\(\sin A \approx 0.382\)

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

\(A \approx 22.457^{\circ}\)

Then, the values of the cosine associated with that angle is:

\(\cos A \approx 0.924\)

Now, we have that \(f(A) = \sin 2A +\csc2A\), we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

\(\sin 2A = 2\cdot \sin A\cdot \cos A\) (4)

\(\csc 2A = \frac{1}{\sin 2A}\) (5)

\(f(A) = \sin 2A + \csc 2A\)

\(f(A) = \sin 2A + \frac{1}{\sin 2A}\)

\(f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}\)

\(f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}\)

If we know that \(\sin A \approx 0.382\) and \(\cos A \approx 0.924\), then the value of the function is:

\(f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}\)

\(f(A) = 2.122\)

Answer:

DI = 38

Step-by-step explanation:

Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is

\(\frac{DI}{EH}\) = \(\frac{DC}{EC}\) , substitute values

\(\frac{DI}{76}\) = \(\frac{1}{2}\)  ( cross- multiply )

2DI = 76 ( divide both sides by 2 )

DI = 38

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

the answer is 1,225

Step-by-step explanation: