Brittany walked 8,910 feet in 45 minutes. She walked at a constant rate. At what rate did Brittany walk in feet per minute?

Answer:

b

Step-by-step explanation:

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

For more such questions on Intersection, click on:

https://brainly.com/question/30915785

#SPJ8

Answer:

P(x) = 5x - 600

Step-by-step explanation:

Given

Cost function C(x) = 600+2x

revenue function R(x) = 3x

If the profit function is related by the equation

P(x)=R(x)-C(x)

P(x)= 3x - (600-2x)

open the parenthesis

P(x) = 3x - 600 + 2x

P(x) = 3x+2x - 600

P(x) = 5x-600

Hence the profit function in standard form for Manuel's new product line is P(x) = 5x - 600

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

Uri paid a total of $85.47 for the landscaping service including tax and tip.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.

Given that company charged $74 for the service plus 5% tax.

The tax is 5%, that is:

Tax = 5% of $74 = 0.05 x $74 = $3.70

Cost after tax = $74 + $3.70 = $77.70

Now, tip is 10%:

Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77

Total cost = $77.70 + $7.77 = $85.47

Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.

Learn more about tax here:

https://brainly.com/question/16423331

#SPJ1

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Answer:

C= 1

Step-by-step explanation:

Answer: C=1

Step-by-step explanation:

Answer:

0.205, 21%, 1/4, 0.3, 1/3

Step-by-step explanation:

Hi! How I was taught to do these was convert them all into percentages.

0.3 ---> 30%

1/3 ---> 33.33%

21% ---> 21%

1/4 ---> 25%

0.205 --> 20.5%

Now that we have these, order from least to greatest. Make sure you use the form it gave you in the question!

Answer: The answer is 2.

Step-by-step explanation: If you have 2 minuses together, then that actually means a plus. -7+9 is 2.

Answer:

-7-(-9) a negative and a negative makes a positive so the new question will be -7+9 which should equal -16?

Answer:

perimeter = 26

Step-by-step explanation:

perimeter of a rectangle = 2L + 2W

where:

L = 5x² - 2

W = 7 + 3x

Let x = 1

find:  Perimeter

-----------------------------------------------

substitute values into the formula:

P = 2(5 * 1² - 2) + 2(7 + 3 * 1)

P = 2(3) + 2(10)

P = 6 + 20

P = 26

therefore,

the perimeter = 26

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Answer:

3: 24

2:16

5:40

Step-by-step explanation: Here ya go! I hoped I helped you in any way. If I get this wrong, I'm SO SORRY! I'm just 10 years old, pls don't hate me….

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Answer:

x ≤ 7.25

Step-by-step explanation:

1) \(3x + 4.5\) ≤ \(5(x - 2)\)

Distribute 5 through the parenthesis.

2)  \(3x + 4.5\) ≤ \(5x - 10\)

Move the variable to the left side and change it's sign.

3)  \(3x + 4.5 - 5x\) ≤ \(- 10\)

Move the constant to the right side and change it's sign.

4)  \(3x - 5x\) ≤ \(- 10- 4.5\)

Subtract the like terms.

5) \(-2x\) ≤ \(-14.5\)

Divide both sides of the inequality by -2.

6) \(x\) ≤ \(7.25\)

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

To learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Answer:

16 in

Step-by-step explanation:

Because you multiply 4in by 3in and you get 12 in. and you subtract 3in by 1in to get the height for the smaller box and you get 2in so multiply 2in by 2in to get 4in and add your products to 12in and 4 in to get 16 in!

Hope this helps!

Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

Learn more about savings in: https://brainly.com/question/10749354

#SPJ1

Step-by-step explanation:

True, True, False, True, False

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

2x + 8x

10x

Step-by-step explanation:

Open the brackets and multiply x inside.

Answer:

2x(8)

Step-by-step explanation:

multiply. 2x by 8 and get 16x

Answer:

the problem is like that or is showing u how are the equations ?

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

For similar question on cost.

https://brainly.com/question/2292799  

#SPJ8

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

Answer:

Step-by-step explanation:

This is a fill in the gap question:

The Central Limit Theorem tells us that the sampling distribution for the population proportion is approximately normal with the population proportion as its mean. The theorem of the central limit is a set of results on the weak convergence of a series of random variables in probability. Intuitively, according to these results, any sum of independent and identically distributed random variables tends towards a certain random variable.

Similarly; from the question:

The mean of the sampling distribution is given by \(\mathbf{\mu_{\hat p } = p}\)

Suppose p is the population proportion and let say n is the sample size; then :

The standard deviation of the sampling distribution can be represented by :

\(\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n}}\)

9514 1404 393

Answer:

Step-by-step explanation:

The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.

The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.

The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.

To answer this question, we need to rewrite the given equation is the slope-intercept form, that is:

Then, we have:

We divide the whole equation by 4.

Thus, having this equation, we can see that:

The y-intercept is the value of y when x = 0, and this value is y = -8.

Therefore, the slope is m = -1/4, and the y-intercept is y = -8 (option 4).

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

Learn more about probability here:

https://brainly.com/question/31123570

#SPJ1

Answer: Properties of Angles

The sum of all the angles on one side of a straight line is always 180 degrees. For example: The sum of ∠1, ∠2, and ∠3 is 180 degrees

Step-by-step explanation: I’m smart plz give brainlest

Step-by-step explanation:

A half turn or the amount of turn about a single

point on a straight line in 180 degrees, and a quatert turn or right angle is represent by 90 degree . that's opposite angle are aqual: this result call x angle property.

Answer:

D

Step-by-step explanation:

100>50 +6.25x, subtract 50 from both sides

50>6.25x, divide both sides by 6.25

8>x or x<8

Answer:

c

Step-by-step explanation: