If the wholesale price of a pair of shoes is $32.00, and the markup is 55%, find the selling price of the item.

Answers

Answer 1

Answer:

$49.6

Step-by-step explanation:

Given that :

Wholesale price, p = $32

Markup percentage = 55%

Selling price = wholesale price * ( 1 + Markup percentage)

Selling price = $32(1 + 0.55)

Selling price = $32(1.55)

Selling price = $49.6


Related Questions

this shud be easy im jus kinda having a big brain fart and need help :)

this shud be easy im jus kinda having a big brain fart and need help :)

Answers

Answer:

It is 10. I usually have brain farts in math too.

Step-by-step explanation:

Answer:

is 13

Step-by-step explanation:

A new type of organic pesticide has been developed and will be marketed if it is at least as effective as its chemical-based competitor. List the null hypothesis, alternate hypothesis, and describe the Type I and Type II errors that could result, in this context.

Answers

Null Hypothesis (H0): The new organic pesticide is equally effective as the chemical-based competitor.

Alternative Hypothesis (H1): The new organic pesticide is more effective than the chemical-based competitor.

Type I error: Rejecting the null hypothesis when it is true, i.e., concluding that the new organic pesticide is more effective when it is not.

Type II error: Failing to reject the null hypothesis when it is false, i.e., concluding that the new organic pesticide is not more effective when it is.

In the context of comparing the effectiveness of a new organic pesticide with a chemical-based competitor, we can define the null hypothesis (H0) and the alternative hypothesis (H1) as follows:

Null Hypothesis (H0): The new organic pesticide is equally effective as the chemical-based competitor.

Alternative Hypothesis (H1): The new organic pesticide is more effective than the chemical-based competitor.

Type I error (False Positive): This error occurs when we reject the null hypothesis (H0) when it is actually true.

In this context, a Type I error would be made if we conclude that the new organic pesticide is more effective than the chemical-based competitor when it is actually not.

It means we would falsely accept the alternative hypothesis (H1) and market the organic pesticide as more effective, even though it is not.

Type II error (False Negative): This error occurs when we fail to reject the null hypothesis (H0) when it is actually false.

In this context, a Type II error would be made if we conclude that the new organic pesticide is not more effective than the chemical-based competitor when it is actually better.

It means we would fail to accept the alternative hypothesis (H1) and miss the opportunity to market the organic pesticide, even though it is effective.

The choice of the Type I and Type II errors depends on the risks associated with the decision.

In this case, a Type I error could lead to marketing an organic pesticide that is not actually effective, potentially causing financial losses and damage to the company's reputation.

On the other hand, a Type II error could result in missing out on marketing a genuinely effective pesticide, leading to lost opportunities and potential revenue.

To make an informed decision, it is important to consider the desired level of significance (alpha) and power (1 - beta) in hypothesis testing. These values determine the acceptable trade-off between Type I and Type II errors and depend on factors such as the importance of the outcome and the costs associated with the errors.

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Find the difference.
- 4 1/9 - 7 2/3
**Answer should be a fraction**

Answers

Answer:

your answer is

\( - 11 \frac{7}{9} \)

A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?

Answers

Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

What’s the answer to this

Whats the answer to this

Answers

Answer:

v=9

Step-by-step explanation:

50 + x =180

x=130

130+(6v-4)= 180 (subtract 126 from each side)

6v=54 (divide by 6)

v=9

Hello students answer this for branliest and 10 points



4+1=

Answers

Answer:

5

Step-by-step explanation:

ty, have a good day!

A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 3 1/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

first you'd change the how many barrels of oatmeal to 3 2/6 then just do 3 x 6 =18+2=20/6 then divide that by 5 = 4

if the premium for same day shipping is 200%. what is the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping?

if the premium for same day shipping is 200%. what is the cost to ship 2000 lbs of goods from Houston

Answers

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given distance

\(\begin{gathered} Distance=240\text{ miles} \\ premium=200\% \\ cost=2000lbs \\ price\text{ per 100 lbs for 240 miles is \$120} \end{gathered}\)

STEP 2: Calculate the cost

\(\begin{gathered} 100lbs\text{ for 240 miles = \$}120 \\ 2000=x \\ \\ x=\frac{2000\cdot120}{100}=\text{ \$}2400 \end{gathered}\)

STEP 3: Calculate the premium

\(200\%=\frac{200}{100}\cdot2400=\text{ \$}4800\)

STEP 4: Calculate the overall cost to ship required goods

\(\text{ \$}2400+\text{ \$}4800=\text{ \$}7200\)

Hence, the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping is $7200

Add
(4-4i)+(3-2i)
Write as complex number in standard form​

Answers

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

long-term movement of demand up or down in a time series is

Answers

The long-term movement of demand up or down in a time series is referred to as trend.

The long-term movement of demand up or down in a time series is known as trend. Trends can be positive or negative, indicating an increase or decrease in demand over an extended period. Understanding trends is essential for businesses to make informed decisions and develop effective strategies.

There are two types of trends:

1. Upward trend: When demand consistently increases over time, it signifies an upward trend. This could be due to factors such as population growth, changing consumer preferences, or economic development. For example, if the demand for organic food has been steadily rising over the past decade, it indicates an upward trend.

2. Downward trend: Conversely, when demand consistently decreases over time, it indicates a downward trend. This could be due to factors such as changing market conditions, technological advancements, or shifts in consumer behavior. For instance, if the demand for traditional print newspapers has been declining steadily due to the rise of digital media, it indicates a downward trend.

Understanding trends helps businesses anticipate future demand patterns, adjust production levels, and make informed pricing and marketing decisions.

In summary, the long-term movement of demand up or down in a time series is referred to as trend. Trends can be positive (upward) or negative (downward), indicating sustained increases or decreases in demand over time.

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Joe goes to the store to buy milk that cost x + $3, bread that cost x + $2.25, and 3 bags of potato chips that cost x + $1.50 each. Write an equivalent expression to represent what he spent.

Answers

Given:

Milk cost = x + $3,

Bread cost = x + $2.25,

3 bags of potato chips cost = x + $1.50 each.

To find:

The equivalent expression to represent what he spent.

Solution:

1 bag of potato chips cost = x + $1.50

3 bag of potato chips cost = 3(x + $1.50).

Total cost = Milk cost + Bread cost + Cost of 3 bags of potato chips

\(\text{Total cost}=(x+\$3)+(x+\$2.25)+3(x+\$1.50)\)

\(\text{Total cost}=x+\$3+x+\$2.25+3x+\$4.50\)

\(\text{Total cost}=(x+x+3x)+\$(3+2.25+4.50)\)

\(\text{Total cost}=5x+\$9.75\)

Therefore, the required expression is 5x+$9.75.

please help I will give you any award

please help I will give you any award

Answers

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

please help I will give you any award

Gurjit has a cd case that is a cylindrical
shape. it has a surface area of 603 cm2 and
a height of 10 cm. what is the area of the
circular lid of the cd case?

Answers

The area of circular lid of the CD case is approximately 271.89 cm². This is found by subtracting the surface area of the curved side from the total surface area, using the given height of 10 cm and solving for the radius.

To find the area of the circular lid of the CD case, we need to subtract the surface area of the curved side of the cylinder from the total surface area.

Given:

Surface area of the CD case = 603 cm²

Height of the CD case = 10 cm

The total surface area of the cylinder is given by the formula: 2πr + 2πrh, where r is the radius and h is the height.

Since we want to find the area of the circular lid, we can ignore the curved side and focus on the two circular bases. The formula for the area of a circle is πr².

Let's solve for the radius (r) first.

Total surface area = 2πr + 2πrh

603 = 2πr + 2πr(10)

603 = 2πr + 20πr

603 = 22πr

r = 603 / (22π)

Now we can find the area of the circular lid using the formula for the area of a circle.

Area of the circular lid = πr²

Area of the circular lid = π * (603 / (22π))²

Area of the circular lid = (603² / (22²))

Area of the circular lid ≈ 271.89 cm²

Therefore, the area of the circular lid of the CD case is approximately 271.89 cm².

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The coordinates of point A on a grid are (−2, −4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are

Answers

Answer:

not sure if it's a or b but I think it's a

Answer:

2

Step-by-step explanation:

Examine whether each of the following pair of lines AB and CD are parallel or not​

Examine whether each of the following pair of lines AB and CD are parallel or not

Answers

Answer:

Yes

Step-by-step explanation:

For lines to be parallel alternate interior angles should be equal

Angle GHD=180-angle FHD

=180-115 = 65°

Therefore angle AGH = angle GHD

So lines are parallel

Step-by-step explanation:

\( \angle H = 115 \degree ... (vertical \: \angle s) \\ \angle H + 65 \degree \\ = 115 \degree + 65 \degree \\ = 180 \degree \\ \)

Therefore by interior angle test,

\(line \: AB || \: line \: CD\)

convert y=-2x into standard form

Answers

Using the formula Ax+By=C, you would get the following if you convert it:
2x+y=0
I think this is it but I haven’t done this in a while so I would double check.
If it’s correct could you please mark brainliest? Plsss

Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.

Answers

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The process of grouping and assigning values to various responses from the survey instrument is called

Answers

The term used to describe the process of assigning values to responses in a research instrument and grouping them is called: coding.

What is Coding in Research Analysis?

In data analysis, before raw data can be processed, the researcher groups and assigns values to each response in the research instrument for easy collation and analysis.

This is referred to as coding, in research analysis.

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can anyone solve it use translation if found necessary.​

can anyone solve it use translation if found necessary.

Answers

On solving the provided, we can say that - here in graphs by solving the equation - \(x^2 + y^2 = > 2^2 = > 4\)

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here from graph,

x= 0

and y = 2

so, in equation

\(x^2 + y^2 \\2^2\\4\\\)

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What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?

Answers

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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A scientist uses a submarine to study ocean life.

. She begins at sea level, which is an elevation of o feet.

. She descends 44.7 feet.

. She then travels directly up 20.7 feet.

. Next, she travels down a second time, 44.5 feet.

How many feet must she now ascend to get back to sea level?

Answers

The answer is -68.5
Hope this helps

One edge of a painting is 6 in. longer than the other edge. The picture has a 2-inch-wide frame. Write a quadratic function f in standard form to represent the total area of the picture and frame. Then find the total area of the picture and the frame if its longer edge is 14 inches long.

Answers

Answer:

One edge of a painting is 6 in. longer than the shorter edge. The picture has a 2-in.-wide frame. There is one rectangle inside the other rectangle. The distance between two edges of two rectangles is 2. The length of the rectangle is x + 6 and width is x. The portion between two rectangles is shaded. Part A Which quadratic function represents the total area of the picture and frame? A. f(x) = x2 + 8x + 12 B. f(x) = x2 + 10x + 24 C. f(x) = x2 + 12x + 32 D. f(x) = x2 + 14x + 40 Part B What is the total area of the %3D %3D framed picture if its shorter edge is 8 inches long? Enter your answer in the box. _in.2 x+ 6

If the point (12, 4) lies on the graph of a
direct variation, what is the constant of
variation?

Answers

The constant of variation is 1/3

In this question, a point (12, 4) lies on the graph of a direct variation.

we need find the constant of variation.

Let (x, y) = (12, 4)

We know that in direct variation if one value increases other also increases or vice versa.

In direct variation, the coordinate points can be written as:

y = k * x

where k is the constant of variation

For y = 4 and x = 12,

4 = k * 12

k = 4/12

k = 1/3

Therefore, the constant of variation is 1/3

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PLEASE HELP I NEED THE STEPS AND ANSWER TO THIS QUESTION

PLEASE HELP I NEED THE STEPS AND ANSWER TO THIS QUESTION

Answers

Answer:

x = 12

Step-by-step explanation:

Definition of a point between two points:

Point B is between points A and C if and only if AB + BC = AC.

Now we apply it to this problem.

AB = 3x + 5

BC = 2x + 3

AC = 68

AB + BC = AC

Substitute each segment length with the expression or length above. Then, solve the equation for x.

3x + 5 + 2x + 3 = 68

5x + 8 = 68

5x = 60

x = 12

the weights of bags of cement are normally distributed with a mean of 53 and a standard deviation of 2 a. what is the likelihood that a randomly selected individual bag has a weight greater than 50

Answers

The likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%

When dealing with normally distributed data, we use the mean and standard deviation to determine the likelihood of certain events occurring. In this case, the mean weight of bags of cement is 53 with a standard deviation of 2.

To find the likelihood that a randomly selected bag has a weight greater than 50, we need to calculate the z-score for 50. The z-score tells us how many standard deviations away a particular value is from the mean.

z = (X - μ) / σ

where X is the value we're interested in (50), μ is the mean (53), and σ is the standard deviation (2).

z = (50 - 53) / 2 = -1.5

A z-score of -1.5 means that a weight of 50 is 1.5 standard deviations below the mean. To find the likelihood of a bag weighing more than 50, we can use a z-table or a calculator to find the area to the right of this z-score.

Looking up a z-score of -1.5, we find that the area to the left is approximately 0.0668, which means the area to the right (the likelihood of a bag weighing more than 50) is:

1 - 0.0668 = 0.9332

Thus, the likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%.

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How many moles contain 1.25x 10^15 molecules of glucose

Answers

Answer:

i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.

Step-by-step explanation:

find the length and width of a rectangle whose width is 10 cm shorter than its length and whose area is 200 cm2.

Answers

Let's call the length of the rectangle "L" and the width "W". We know that the width is 10 cm shorter than the length, so we can write.

W = L - 10
We also know that the area of the rectangle is 200 cm 2, so we can write:
A = L x W
Substituting W = L - 10, we get:
A = L x (L - 10)
Expanding the brackets, we get:
A = L^2 - 10L
Now we can substitute in A = 200 and solve for L:
200 = L^2 - 10L
0 = L^2 - 10L - 200
We can use the quadratic formula to solve for L:
L = (-b ± sqrt(b^2 - 4ac)) / 2a
Where a = 1, b = -10, and c = -200. Plugging in these values, we get:
L = (10 ± sqrt(10^2 - 4(1)(-200))) / 2(1)
L = (10 ± sqrt(1100)) / 2
L = (10 ± 10sqrt(11)) / 2
L ≈ 19.9 or L ≈ -9.9
We can disregard the negative solution since we're dealing with lengths, so the length of the rectangle is approximately 19.9 cm.
Now we can use W = L - 10 to find the width:
W = 19.9 - 10
W ≈ 9.9 cm
Therefore, the length of the rectangle is approximately 19.9 cm and the width is approximately 9.9 cm.

To find the length and width of a rectangle whose width is 10 cm shorter than its length and whose area is 200 cm², follow these steps:
1. Define the variables: Let the length of the rectangle be L cm, and the width be W cm.
2. Use the given information: Since the width is 10 cm shorter than the length, we can write the equation W = L - 10.
3. Use the formula for the area of a rectangle: The area of a rectangle is given by the formula A = L × W.
4. Substitute the given area and the equation from step 2: In this problem, the area is 200 cm², so we have 200 = L × (L - 10).
5. Solve the equation for L: Expand the equation to get 200 = L² - 10L. Rearrange the equation to L² - 10L - 200 = 0.
6. Factor the quadratic equation or use the quadratic formula: (L - 20)(L + 10) = 0. This gives two possible values for L: L = 20 cm or L = -10 cm.
7. Discard the negative value: Since the length of a rectangle cannot be negative, we discard the value L = -10 cm. So, the length L is 20 cm.
8. Find the width using the equation from step 2: W = L - 10 = 20 - 10 = 10 cm.
Thus, the length and width of the rectangle are 20 cm and 10 cm, respectively.

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7x+1/2(x+1/4)=3(6x-9)-8

Answers

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

Subtract 1/8 minus 3/4

Answers

Answer: 5/8

Step-by-step explanation:

Geometry
Solve for x. Round to the nearest tenth, if necessary.
Bottom letter is F

GeometrySolve for x. Round to the nearest tenth, if necessary.Bottom letter is F

Answers

Answer:

1. \(x \approx 229.8\)

2. \(x \approx 2.6\)

Step-by-step explanation:

1. We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:

\(cos(x) = \frac{adjacent}{hypotenuse}\\cos(72) = \frac{71}{x}\\x = \frac{71}{cos(72)}\\x \approx 229.8\)

2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:

\(tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6\)

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An F.F, ATP-dependent active proton transporter consists of a transmembrane proton channel ATP ADP + P complex, F., and a peripheral ATPase complex, F. ATP B hydrolysis causes a conformational change that rotates the ye subunit of F1. which in turn rotates the F, unit and causes protons to be translocated across the membrane. In a Mitochondrial mitochondrion, the F.F, transporter acts as an ATP synthase matrix when there is a sufficiently large proton gradient. * Scientists attach a magnetic nanobead to the ye subunit of isolated F). They affix the F, to the bottom of a microscopic glass chamber such that the bead-F," portion can freely rotate. First, in a solution containing 500 nM ATP, they observe that the bead-F," complex spontaneously rotates counterclockwise. These spontaneous rotations stop once the ATP is depleted. Second, in a solution containing 200 nM ATP, 100 HM ADP, and 10 mM P, the scientists apply a magnetic field that rotates H the bead clockwise. When the magnetic field is switched off, Intermembrane space the bead-F, complex reverts to spontaneous counterclockwise rotations. These spontaneous rotations last longer than those observed in the first experiment starting with 90 0 Second, in a solution containing 200 nM ATP, 100 M ADP. and 10 mM P. the scientists apply a magnetic field that rotates H the bead clockwise. When the magnetic field is switched off, Intermembrane space the bead-F, complex reverts to spontaneous counterclockwise rotations. These spontaneous rotations last longer than those observed in the first experiment starting with 500 nM ATP.Select those statements that explain the results of the experiments using the bead-F, complex a. The F, complex is required to drive ATP synthesis by F.F, transporter in vivo. b. The F, complex can hydrolyze ATP independently of the F, complex. c. Condensation of ADP and P; drives rotation of the Fj-ATPase ye subunit. d. Reversing the direction of the F, complex's spontaneous rotation results in condensation of ADP and P. D when money is used as a standard of value, a person is when money is used as a standard of value, a person is making a financial transaction. writing a check for groceries. making price comparisons among products. purchasing a necessity. earning more money than before.