What is 2.3, 2.2031, 2.23, 1.426 from least to greatest?

To determine how many 5-pound bags of potatoes a trader can sell, you need to divide the total weight of the potatoes in pounds by 5. The trader can sell 10 bags of 5-pound potatoes.

To find the number of 5-pound bags of potatoes a trader can sell, you need to perform a division operation. First, determine the total weight of the potatoes the trader has in pounds. Let's say the total weight is X pounds. Next, divide the total weight by 5, as each bag weighs 5 pounds. This division will give you the number of bags that can be formed from the total weight.  

Mathematically, the calculation can be expressed as follows:  

Number of bags = X pounds / 5 pounds per bag

For example, if the trader has 50 pounds of potatoes, the calculation would be:

Number of bags = 50 pounds / 5 pounds per bag = 10 bags  

So, in this case, the trader can sell 10 bags of 5-pound potatoes. This method allows you to represent and find the number of 5-pound bags of potatoes a trader can sell based on the total weight of the potatoes they have.

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The area of each right triangle formed by the diagonal of a rectangle with length l and width w is lw/2

Given:

To find:

Area of each right triangle formed by the diagonal of the rectangle

The area of each right triangle can be calculated using the formula:

Area = (1/2) * base * height

In each right triangle, the length and width of the rectangle form the base and height, respectively.

Thus, the area of each right triangle is:

Area = (1/2) * l * w

Evaluate

Area = lw/2

Therefore, the area of each right triangle formed by the diagonal of a rectangle with length l and width w is lw/2

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Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right.

How to carry out Congruence Proofs?

We are told that both peter and Vivian were trying to prove from the attached diagram the statement that;

If ∠2 ≅ ∠3, then ∠1 is supplementary to ∠3.

Now, from the proofs of both of them, we can see that peter used a direct proof because he knew he could get it directly but Vivian utilized another means which was by starting with contradiction to reprove that the answer was correct.

Thus, we can conclude that Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right

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Answer:

Answer:

n = 4

Step-by-step explanation:

separate the variables

subtract 9 from 5 and you get n=4

Step-by-step explanation:

Answer:

qp.

Step-by-step explanation:

Answer:

It is qp Aka D.

Step-by-step explanation:

I just did the quiz and got a 100%. :)

In order to solve this question, we need to use the z-score z of value x, belonging to a normal distribution with mean μ and standard deviation σ.

z is defined as:

In this problem, we have, in pounds:

μ = 8.9

σ = 1.1

PART 1

So, the percentage of domestic house cats that weigh less than 7.8 pounds is:

And from a z-score table, we have:

Therefore, the percentage of domestic house cats that weigh less than 7.8 pounds is approximately 0.1587 or 15.87%.

PART 2

The percentage of domestic house cats that weigh more than 11.1 pounds is 1 minus the percentage of them that weigh less than that:

Therefore, the percentage of domestic house cats that weigh more than 11.1 pounds is approximately 0.0228 or 2.28%.

PART 3

The domestic house cat weighing 9 pounds is in percentile P(x<9):

Therefore, a domestic house cat weighing 9 pounds is in the 54th percentile.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877

Answer:

457.16 miles total

Step-by-step explanation:

Jennifer is traveling with her family to her grandmother's house. They have driven 435.6 miles during the last 7 hours and only have 21.56 miles left. How many miles is the trip to her grandmother's house

435.6 miles + 21.56 miles left = 457.16 miles total

Answer:

435,60+21,56 = 457,16 miles - the trip to her grandmother's house!

Answer:

Check explanation

Step-by-step explanation:

Sin∅=5/6

Opp=5. Hyp=6

Adj= (√6²+5²)

= √11

Cos∅=(√11)/6

Tan∅=5/(√11)

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

Answer:

x = 4

Step-by-step explanation:

y=-2 is a horizontal line so x must be a vertical line through (4,-2)

Answer:

Each banana would weigh ¼ of a pound

Step-by-step explanation:

If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼

Answer:

c

Step-by-step explanation:

Answer and Explaination:
a. To calculate the required seating area for the restaurant, we need to consider the average number of customers per group, the number of groups, and the space required per table.

Given:

Average number of customers per group = 4

Number of groups = 16

Space required per table and surroundings = 5.3 square meters

To calculate the required seating area, we can use the following formula:

Seating area = Number of groups * (Average number of customers per group / 2) * Space required per table

Seating area = 16 * (4 / 2) * 5.3

Seating area = 16 * 2 * 5.3

Seating area = 169.6 square meters

Therefore, the required seating area for the restaurant is approximately 169.6 square meters.

b. To determine the number of stoves required for the restaurant, we need to consider the average cooking time per meal, the number of elements per stove, and the total number of meals.

Given:

Average cooking time per meal = 10 minutes

Number of elements per stove = 4

To calculate the number of stoves, we divide the total cooking time by the average cooking time per stove:

Number of stoves = (Total cooking time) / (Average cooking time per stove)

Total cooking time = Number of groups * (Number of meals per table) * (Average cooking time per meal)

Number of meals per table = 2

Total cooking time = 16 * 2 * 10

Total cooking time = 320 minutes

Number of stoves = 320 minutes / 10 minutes per stove

Number of stoves = 32

Therefore, the restaurant would require 32 stoves.

To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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Answer:

2109 meter squared

Step-by-step explanation:

\(Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2} \)

Answer:

14

Step-by-step explanation:

the difference between -4 and 10 is 14, (4 to get to 0, and 10 more to get to 10.) and the difference between -8 and -8 is 0 so we don’t have to count it.

The areas of the four triangular sections in the trapezoidal cornfield in Iowa are: Section 1: 7200 sq m, Section 2: 10800 sq m, Section 3: 10800 sq m, Section 4: Approximately 14988.86 sq m

To find the areas of the triangular sections, we need to first find the lengths of the diagonals IW and OA.
Given that IO is parallel to WA, we can use the properties of trapezoids to find the length of the diagonal IW.
Since the area of the trapezoidal field is 18000 sq m, we can use the formula for the area of a trapezoid:
Area = (a + b) * h / 2
where a and b are the lengths of the parallel sides, and h is the height (the distance between the parallel sides).
In this case, a = 100 m, b = 150 m, and the area = 18000 sq m. We can plug these values into the formula and solve for the height:
18000 = (100 + 150) * h / 2
36000 = 250 * h
h = 36000 / 250
h = 144 m
Now that we have the height, we can use the properties of triangles to find the length of the diagonal IW.
In a right triangle with one leg being the height (h) and the hypotenuse being the diagonal (IW), we can use the Pythagorean theorem:
IW² = h² + b²
IW² = 144² + 100²
IW² = 20736 + 10000
IW² = 30736
IW ≈ 175.21 m
Similarly, we can find the length of the diagonal OA using the same steps:
OA² = h² + a²
OA² = 144² + 150²
OA² = 20736 + 22500
OA²= 43236
OA ≈ 207.93 m
Now, we can find the areas of the triangular sections.
Section 1: Triangle IOW
The base is IO, which is 100 m, and the height is h, which is 144 m. Using the formula for the area of a triangle:
Area1 = (base * height) / 2
Area1 = (100 * 144) / 2
Area1 = 7200 sq m
Section 2: Triangle IWA
The base is WA, which is 150 m, and the height is h, which is 144 m. Using the formula for the area of a triangle:
Area2 = (base * height) / 2
Area2 = (150 * 144) / 2
Area2 = 10800 sq m
Section 3: Triangle OWA
The base is WA, which is 150 m, and the height is h, which is 144 m. Using the formula for the area of a triangle:
Area3 = (base * height) / 2
Area3 = (150 * 144) / 2
Area3 = 10800 sq m
Section 4: Triangle OAI
The base is OA, which is approximately 207.93 m, and the height is h, which is 144 m. Using the formula for the area of a triangle:
Area4 = (base * height) / 2
Area4 = (207.93 * 144) / 2
Area4 ≈ 14988.86 sq m
The areas of the triangular sections are as follows:
- Section 1: 7200 sq m
- Section 2: 10800 sq m
- Section 3: 10800 sq m
- Section 4: Approximately 14988.86 sq m
To find the areas of the triangular sections in the trapezoidal cornfield in Iowa, we first need to find the lengths of the diagonals IW and OA. By using the formula for the area of a trapezoid, we can determine the height of the trapezoid, which is 144 m. Using the Pythagorean theorem, we can find the lengths of the diagonals IW and OA. IW is approximately 175.21 m, while OA is approximately 207.93 m. Next, we can calculate the areas of the triangular sections. Section 1 has a base of 100 m and a height of 144 m, resulting in an area of 7200 sq m. Section 2 and Section 3 both have a base of 150 m and a height of 144 m, resulting in areas of 10800 sq m each. Finally, Section 4 has a base of approximately 207.93 m and a height of 144 m, resulting in an area of approximately 14988.86 sq m.
In conclusion, the areas of the four triangular sections in the trapezoidal cornfield in Iowa are:
- Section 1: 7200 sq m
- Section 2: 10800 sq m
- Section 3: 10800 sq m
- Section 4: Approximately 14988.86 sq m

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The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 6 + 4i

Multiplied by 3:

= 18 + 12i

If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.

Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

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Answer:

50

Step-by-step explanation:

Hope this helps :)

Answer:50

Step-by-step explanation:

100 ÷ 2=50

To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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Answer:

c is the closest

Step-by-step explanation:

it should take about 2 years

Answer:

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $69512

Step-by-step explanation:

Given that total amount of investment = $150,000

Let the amount invested on 5.6% interest = $\(x\)

Now, amount invested on 9.7% interest = $(150000-\(x\))

Total interest to be earned = 7.5%

Formula to be used:

\(Simple\ Interest = \dfrac{P\times r\times t}{100}\)

Where, \(P\) is the amount invested

\(r\) is the rate of interest

\(t\) is the time for which amount is invested.

As per question statement:

\(\dfrac{x\times 5.6}{100}+\dfrac{(150000-x)\times 9.7}{100}=\dfrac{150000\times 7.5}{100}\\\Rightarrow 5.6x-9.7x=150000(7.5-9.7)\\\Rightarrow 4.1x=150000\times 2.2\\\Rightarrow x = \dfrac{330000}{4.1}\\\Rightarrow x \approx \bold{\$80488}\)

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $150000 - $80488 = $69512

Answer:

\( \frac{1}{4}x\)

Step-by-step explanation:

take the reciprocal of 4 which is 1/4

Answer:

Literally nothing.

Step-by-step explanation:

Lol

Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

Answer:

The answer is = 3

Step-by-step explanation:

Analysis of variance (ANOVA) is a statistical tool used to test for equality of means across multiple groups or populations. This test helps to determine whether the observed differences between the means of different groups are statistically significant or simply due to chance.

ANOVA calculates the variation or deviation in the means of different groups by comparing the variance within the groups to the variance between the groups.

In ANOVA, the population is the entire group of individuals or objects that are being studied. For example, if we are comparing the means of three different age groups, the population would be all individuals in those three age groups.

ANOVA looks at the variance between these groups and within each group to determine if there is a statistically significant difference in means.

When conducting an ANOVA, standard deviations, variances, and means are all important measures of central tendency and variability. Standard deviations and variances are used to calculate the within-group variation and between-group variation.

Proportions, on the other hand, are not used in ANOVA as this test is specifically designed for continuous data, such as means.

Overall, ANOVA is a useful tool for analyzing differences in means across multiple populations.

By calculating the deviation or variation between and within groups, it can help researchers determine whether observed differences are statistically significant or not.

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Answer:

A 9/10

Step-by-step explanation:

6% is 0.06 so you do 0.6 times 15 so in decimal form it is 0.9=9/10

Answer:

9\10

I tried 9\10 and it was correct! :)