A youth bicycle wheel has a diameter of 20 inches. Darian can reach 3.5 revolutions per second riding down the big hill near his house. What is the approximate linear speed of Darian’s bicycle tire in miles per hour?

(WORLD STATIONARY)

this is as 100÷25=4 so 2.25×4=£9

but

10×2=20 as buy 1 get 1 free

so

100÷20=5

1.75×5=£8.75

so it's cheaper

If two types of coffee. P and Q. are blended in the ratio 3: 13 by weight to form a standard blend X. The weight of type P coffee in 800g of X is 3x = 150g, and the weight of type Q coffee is 13x = 650g.

(a) Let the weight of P coffee in 3 parts of X be 3x, and the weight of Q coffee in 13 parts of X be 13x. Then, the total weight of X is 16x.

We know that the ratio of P to Q coffee in X is 3:13, so the total weight of P coffee in X is 3x, and the total weight of Q coffee in X is 13x. Therefore, the weight of each type of coffee in 800 g of X is:

P coffee = (3/16) * 800 g = 150 g

Q coffee = (13/16) * 800 g = 650 g

(b) Let the weight of P coffee in blend Y be x, the weight of Q coffee be 7x, and the weight of R coffee be 12x.

We know that the ratio of P to Q to R coffee in Y is 1:7:12, so the total weight of P coffee in Y is x, the total weight of Q coffee in Y is 7x, and the total weight of R coffee in Y is 12x. Therefore, the weights of type P coffee and type R coffee in 800 g of Y are:

P coffee = (1/20) * 800 g = 40 g

R coffee = (12/20) * 800 g = 480 g

(c) To form blend Z, we mix equal weights of X and Y. Therefore, the total weight of Z is 800 g + 800 g = 1600 g.

The weight of P coffee in Z is (150 g + 40 g)/2 = 95 g.

The weight of Q coffee in Z is (650 g + 7/20 * 800 g)/2 = 465 g.

The weight of R coffee in Z is (12/20 * 800 g + 480 g)/2 = 480 g.

Therefore, the ratio of P to Q to R coffee in blend Z is 95: 465: 480.

(d) The weight of P coffee in 800 g of Z is (19/324) * 800 g = 47 g.

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Answer:

w = 102

m = 78

n = 58

Step-by-step explanation:

∠m is an exterior angle of the triangle on the left

exterior angle = sum of alternate interior angles

m° = 36° + 42°

m  = 78

m and w are supplementary angles

m + w = 180

78 + w = 180

w = 180 - 78

w = 102

w is an exterior angle of the triangle on the right

w = n + 44

102 = n + 44

102-44 = n

n = 58

Answer:

-12 +50

Step-by-step explanation:

Helping in the name of Jesus.

The graph of [tex]f(x)=\frac{1}{2}(2^{x} )[/tex] on the coordinate plane is shown below.

A graph is a visual representation of a set of objects, typically represented as points or nodes, and the relationships between them, typically represented as lines or edges.

To graph the function [tex]f(x)=\frac{1}{2}(2^{x} )[/tex] on the coordinate plane, we can follow these steps:

Connect the points with a smooth curve to form the graph of the function.

The graph of [tex]f(x)=\frac{1}{2}(2^{x} )[/tex] on the coordinate plane is shown below.

Note that the graph of the function is an exponential curve that passes through the point (0, 1/2) and approaches the x-axis as x approaches negative infinity. As x approaches positive infinity, the function increases without bound.

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All of the equations where x = 3 is a solution include the following:

A. x + 4 = 7.

C. 5 - x = 2.

Based on the information provided, we have the following equation:

x + 4 = 7

3 + 4 = 7

7 = 7 (True).

When x = 3, we have the following equation:

x/9 = 3

3/9 = 3

1/3 = 3 (False).

When x = 3, we have the following equation:

5 - x = 2

5 - 3 = 2

2 = 2 (True).

When x = 3, we have the following equation:

8x = 32

8(3) = 32

24 = 32 (False).

When x = 3, we have the following equation:

x - 10 = 7

3 - 10 = 7

-7 = 7 (False).

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We can see that there are 9 possible outcomes for spinning the spinner two times.

By pairing each potential result for the first spin with each potential result for the second spin, we can list all the outcomes and establish the sample space for spinning the spinner twice. Since there are three possible results for each spin, spinning the spinner twice has a total of 3 x 3 = 9 outcomes.

Making a table that displays every scenario is one technique to list the sample space:

Spin 1 Spin 2

Blue  Blue

Blue Orange

Blue  Red

Red          Blue

Red   Orange

Red          Red

Orange  Blue

Orange  Orange

Orange   Red

Listing all the potential pairs of outcomes is another way to list the sample space:

Blue, Blue, Blue, Orange, Blue, Red, Red, Blue, Orange, Red, and Orange, Red; Blue, Blue, Blue, Orange, Blue, Red; and Orange, Blue, Orange, Orange, Red

In either case, we can see that spinning the spinner twice can result in 9 different results.

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Answer:

Step-by-step explanation:

Just multiply the denominator just that  1/9 divided by 3 is 1 /27 your welcome have a good day :)

Answer:

[tex]\frac{1/9}{3/1}=[/tex] [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]skip:[/tex] [tex]\frac{1}{9}[/tex]

[tex]flip:[/tex] [tex]\frac{3}{1} = \frac{1}{3}[/tex]

[tex]Equation Now: \frac{1/9}{1/3}[/tex]

[tex]Multiply: \frac{1}{9}*\frac{1}{3}=\frac{1}{27}[/tex]

[tex]Answer=[/tex][tex]\frac{1}{27}[/tex]

Answer:

6/8 and 12/16

Step-by-step explanation:

multiply both the denominator and numerator by the same number and you will get an equivalent fraction

Answer:

$1.60

Step-by-step explanation:

2a + b = 2.8
2a + 2b = 3.2

3.2 - 2.8 = 0.4

0.4 is one banana
2.8 - 0.4 = 2.4

2.4 = 2a
1.2 is one apple

1.2 + 0.4 = 1.6

Option A is correct, 5(3f+2) expression also represents the total cost of frames.

An expression is combination of variables, numbers and operators.

The expression 15f+10 represents the total cost of f frames.

We need to find the equivalent expression which represents the total cost of frames.

Equivalent expressions are expressions that work the same even though they look different.

Let us find the GCF of 15 and 10, which is 5 to factor out the expression.

5(3f+2)

Hence, 5(3f+2) expression also represents the total cost of frames.

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For the new height requirements, this branch of the military requires women's heights to be at least 2.52 in and at most 6.96in.

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex]  )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

We are given that;

Mean= 63.8 in

Standard deviation= 2.3 in

Requirement of women height= 58in - 80in.

Now,

To find the minimum and maximum height requirements for this branch of the military, we need to use the standard normal distribution formula, which converts any normal distribution to a standard normal distribution with a mean of 0 and a standard deviation of 1.

We can find the z-scores for the minimum and maximum heights as follows:

For the minimum height requirement:

z = (58 - 63.8) / 2.3 = -2.52

For the maximum height requirement:

z = (80 - 63.8) / 2.3 = 6.96

Using a standard normal distribution table or calculator, we can find the corresponding probabilities for these z-scores:

For a z-score of -2.52, the probability is 0.0059 or 0.59%

For a z-score of 6.96, the probability is very close to 1, or 100%

Therefore, the new height requirements for this branch of the military are:

At least 58 inches, which corresponds to a z-score of -2.52

At most 80 inches, which corresponds to a z-score of 6.96

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Answer:V=L times W times H*V=volume W=width H=heightand you don't actually have to write times you can do the symbol.

Example- if I had a rectangular prism of the width is 5 cubes, the length 8 cubes, and the height 7 cubes(following how many gallons are in a cube 7.5) I would then use my formula. V=LWH- 8 times 7= 56 56 times 5=280 280 times 7.5= 2100V=2100 (that is your answer reply If you didn't mean the volume or you don't get it)

hope it helps :)

Step-by-step explanation:

Answer:

if you mean 4,208 divided by 31 its 135.7 (in case you formatted it wrong)

but if your asking 31 divided by 4,208 its 0.007

Based on the graph, it seems that choosing Company A may be the most popular option among residents.

What is a bar graph?

A bar graph, also called a bar chart, is a kind of data visualization that uses rectangular bars to represent data. Each bar's height or length corresponds to the value it stands for. Bar graphs are frequently used to compare and present various data sets or to demonstrate how data has changed over time.

The vertical axis (y-axis) in a conventional bar graph indicates the values or quantities being measured, while the horizontal axis (x-axis) represents the categories or variables being compared. Each bar in the graph represents a separate category or variable, and they are arranged along the x-axis. Each bar's height or length denotes the value or amount related to that category or variable.

Depending on the volume and complexity of the data being presented, bar graphs can be simple or complex. They can be applied to emphasize patterns or trends in the data, demonstrate changes over time, or compare data across several groups or categories. Among the many disciplines that employ bar graphs for data analysis are business, economics, social sciences, and natural sciences.

Based on the given graph, it appears that Patrick is responsible for choosing the company his local community will use for waste disposal. The graph shows the percentage of residents who prefer each of the four companies, labeled A, B, C, and D.

It seems that Company A is the most popular choice, with approximately 40% of residents preferring it. Company B is the second most popular choice, with approximately 30% of residents preferring it. Company C is the least popular choice, with only about 10% of residents preferring it. Company D falls in between Company B and Company C, with approximately 20% of residents preferring it.

Patrick's decision will ultimately depend on various factors, including the cost, reputation, and reliability of each company, as well as the specific needs and preferences of the community. However, based on the graph, it seems that choosing Company A may be the most popular option among residents.

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Answer:

Step-by-step explanation:

To sketch the graph of the polynomial function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 without using technology, we can follow the following steps:

1. Determine the end behaviors of the graph: As x approaches negative infinity, the dominant term of the polynomial is x^4, which is positive. As x approaches positive infinity, the dominant term of the polynomial is also x^4, which is positive. Therefore, the end behaviors of the graph are both upward, which means that the graph rises to positive infinity on both ends.

2. Find the x-intercepts: To find the x-intercepts, we need to solve the equation P(x) = 0. One way to do this is to use synthetic division or long division to factor the polynomial. However, since the degree of the polynomial is 4, it may be difficult to find the roots algebraically. Alternatively, we can use technology or a graphing calculator to find the approximate values of the x-intercepts. Using a graphing calculator, we find that the x-intercepts are approximately -2.23, -0.43, 1.19, and 3.47.

3. Find the y-intercept: To find the y-intercept, we can set x = 0 in the equation P(x) = x^4 - x^3 - 11x^2 + 9x + 18, which gives P(0) = 18. Therefore, the y-intercept is (0, 18).

4. Determine the location of the minimum point: To find the location of the minimum point, we can use calculus and take the derivative of P(x) with respect to x. Setting the derivative equal to zero and solving for x, we find that x = -0.5 or x = 1. Therefore, the minimum point occurs at either (-0.5, P(-0.5)) or (1, P(1)). Using a graphing calculator, we find that the minimum value of P(x) is approximately -8.09, which occurs at x = -0.5.

Based on these steps, we can sketch the graph of P(x) as follows:

* The end behaviors of the graph are both upward.

* The x-intercepts are approximately -2.23, -0.43, 1.19, and 3.47.

* The y-intercept is (0, 18).

* The minimum point occurs at approximately (-0.5, -8.09).

* The graph is symmetric about the vertical line x = 0, since P(-x) = P(x) for all x.

5. To find where the company will break even, we need to find the values of x such that P(x) = 0. Using a graphing calculator or technology, we find that the company will break even at approximately x = -2.23, -0.43, 1.19, and 3.47. These correspond to the x-intercepts of the graph. Therefore, the company will break even at these values of x.

The total income for the 100 households in the country, where the federal government needs to collect $800,000 in income taxes, is $6,810,000.

The total number for the 100 households is computed using the mathematical operations of multiplication and addition.

Multiplication operation involves multiplying the number of households in each group by the income earned by the group.

Addition operation involves summing the groups' household total income.

The population of the imagined country = 100 households

The expected revenue in income taxes = $800,000

The number of groups in the population = 6

Group    Number of Households    Income       Total Income

Group A                    20                  $12,000        $240,000 (20 x $12,000)

Group B                    20                 $29,000        $580,000 (20 x $29,000)

Group C                    20                 $50,000     $1,000,000 (20 x $50,000)

Group D                    20                 $79,000     $1,580,000 (20 x $79,000)

Group E                     15                $129,000     $1,935,000 (15 x $129,000)

Group F                      5               $295,000     $1,475,000 (5 x $295,000)

Total income =       100                                     $6,810,000

Thus, using mathematical operations, the total income for the 6 groups of 100 households in the country is $6,810,000.

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The total amount of money collected is $180.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, person collected $12 each from 15 family members.

Total money = Amount of money collected from each × Number of people

= 12×15

= $180

Therefore, the total amount of money collected is $180.

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Answer:

True

Step-by-step explanation:

Having a budget keeps your spending in check and makes sure that your savings are on track for the future. Budgeting can help you set long-term financial goals, keep you from overspending, help shut down risky spending habits, and more.

Answer:281.92 cm

Step-by-step explanation:

ok so we have a triangle and the area of a triangle is bh/2 so 12.8x8.81/2= 56.384 and since we have 5 of these 56.384x5=281.92Cm

Answer: 1176 in^2

Step-by-step explanation:

the surface area of a cube is given by 6a^2 where a is the length of one edge side. Replace a for 14 as given in the question and we get 6 . 14^2 = 6 . 196 = 1176. the units are in inches squared also written as in^2

The translation of the polygon is 6 units to the left

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the polygon be represented as ABCD

Now , the coordinates of the polygon is given as

The coordinate of A = A ( 1 , 3 )

The coordinate of B = B ( 3 , -1 )

The coordinate of C = C ( 7 , -1 )

The coordinate of D = D ( 5 , 3 )

Now , the translated polygon is having the coordinates as

The coordinate of A' = A' ( -5 , 3 )

The coordinate of B' = B' ( -3 , -1 )

The coordinate of C' = C' ( 1 , -1 )

The coordinate of D' = D' ( -1 , 3 )

So , the translation rule is ( x , y ) → ( x - 6 , y )

And , the figure is translated 6 units to the left

Hence , the translation is 6 units to the left

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Answer:

p = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

given y = - [tex]\frac{3}{2}[/tex] is a root of the equation , then this value makes the equation true.

substitute y = - [tex]\frac{3}{2}[/tex] into the equation and solve for p

2( - [tex]\frac{3}{2}[/tex] )² + 6(- [tex]\frac{3}{2}[/tex] ) + p = 0

2( [tex]\frac{9}{4}[/tex]) - 9 + p = 0

[tex]\frac{9}{2}[/tex] - [tex]\frac{18}{2}[/tex] + p = 0

- [tex]\frac{9}{2}[/tex] + p = 0 ( add [tex]\frac{9}{2}[/tex] to both sides )

p = [tex]\frac{9}{2}[/tex]

Based on the information provided, the statement "Ricardo is half as likely to spin a 2 or 4 than an odd number" is false.

To better understand if this is a valid statement, let's calculate the probability in each case.

Probability to get a 2 or 4:

1/ 8=  0.125 or 12.5% ( 0.125 x 100 = 12.5%)

Probability to get an odd number:

4/8 = 0.5 or 50% (0.5 x 100 = 50%)

This shows that the probability of getting a 2 or a 4 is 12.5%, while the probability of getting an odd number is 50%, which makes the statement false.

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Answer:

A, B, D

Step-by-step explanation:

for y = 3x + 2

for (#,#), the first number is x and the second number is y

A. if x = -2

y = 3(-2) + 2 = -6 + 2 = -4

which is corresponding to the number -4

so A is true

B. if x = -1

y = 3(-1) + 2 = -3 + 2 = -1

so B is true

C. If x = 3

y = 3(3) + 2 = 9 + 2 = 11

so C is false

D. if x = 2

y = 3(2) + 2 = 6 + 2 = 8

so D is true

Answer:

These are three possible solutions to the equation:

(0,2), (1,5), 2,8

The answer is D

Step-by-step explanation:

look at the pictures

Answer: (look at attached file)

Step-by-step explanation:

Salma borrowed $15,300 and paid $295.24 per month for 5 years to pay off the loan.

What is loan?

In a loan, a certain quantity of money is given to another person in exchange for the value or main amount being repaid at a later date. In many circumstances, the lender increases the principal value by adding interest or finance charges, which the borrower must pay in addition to the principal sum.

To find out how much Salma borrowed, we can subtract her down payment from the cost of the motorcycle -

Loan amount = Cost of motorcycle - Down payment

Loan amount = 18,800 - 3,500

Loan amount = 15,300

Salma paid monthly payments for 5 years, which is equivalent to 60 months.

To calculate the monthly payments, we need to use the loan amount, the interest rate, and the loan term.

Let's assume the interest rate is 6%, which is a common rate for motorcycle loans.

We can use a loan calculator to find out the monthly payments -

Loan amount = 15,300

Interest rate = 6%

Loan term = 60 months

Using a loan calculator, we get a monthly payment of $295.24.

Therefore, Salma borrowed $15,300 and paid $295.24 per month.

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Answer:

equilateral triangle

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer: b

Step-by-step explanation: