What is the cost of 3 3/4 pounds of salmon at 14.80 per pound

Answer:

16%

percentage is calculated by 100

A. 2500 × 1/100 = 25%

B. 4100 x 1/100 = 41%

41% - 25%

16%

therefore bridge A is 16% shorter than bridge B

By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.

Given: Convert 60.5 cm to meters

And the facts are as follows:

1000 milli-meters (mm) - 1 meter (m)

100 centimeters (cm) - 1 meter (m)

10 decimeters (dm) - 1 meter (m)

1 deka-meter (dam) -10 meters (m)

1 hectometer (hm) - 100 meters (m)

1 kilometer (km) - 1000 meters (m)

What is the length?

Length is the measurement of something from one point to another point.

Length can also be the distance between two points.

The shortest length between two times is known as displacement.

There are different ways to measure the length between two points or objects.

The SI unit of length is metered (m)

Also, kilometers or miles are used to measure large distances.

How to convert from centimeters (cm) to meters (m)?

1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.

100 cm = 1 m

So 1 cm = 1 / 100 m

Therefore, x cm will be x / 100 m

Let’s solve the problem.

Given 60.5 cm to show in meters

So 100 cm = 1 m

1 cm = 1 / 100 m

60.5 cm = 60.5 / 100 m

60.5 cm = 0.605 m

Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.

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The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

B(42)

Step-by-step explanation:

\( \frac{2}{5} \times 120 = 48 \\ \\ \frac{1}{4} \times 120 = 30 \\ 120 - 48 - 30 = 42 \\ answer = b(42)\)

We want to see which would be the correct graph of a given inequality.

We will see that the correct option is the third one:

"number line with a closed dot on 2 and an open dot on 8 and shading in between"

Here the inequality is:

-8 ≥ −5x + 2 > −38

Let's simplify this, first we can subtract 2 in the 3 parts of the inequality:

-8 - 2 ≥ −5x + 2 - 2 > −38 - 2

-10 ≥ −5x  > −40

Now we can divide the 3 parts by -5, notice that as it has a negative sign, the direction of the symbols must change:

-10/-5 ≤ −5x/-5 < −40/-5

2 ≤ x < 8

Then the graph will be a solid dot at x = 2 (because x = 2 is a valid solution) that extends to the right unitl it hits an open dot at x = 8 (because x = 8 is not a solution).

Thus the correct option is the third one:

"number line with a closed dot on 2 and an open dot on 8 and shading in between"

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The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Answer:

Below

Step-by-step explanation:

FALSE.... polygons have straight sides and angles.

Answer:

Slope = -18

Step-by-step explanation:

To find the slope plug in the coordinate values into the equation for slope:

Slope = (y2 - y1 ) / (x2 - x1)

(34, 12)

(32, 48)

y2 = 48

y1 = 12

x2 = 32

x1 = 34

(y2 - y1 ) / (x2 - x1) =

(48 - 12) / (32 - 34) =

36 / -2 =

-18

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Step-by-step explanation:

To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.

The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:

$5.59 - $1.72 = $3.87

To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:

Percent increase = (difference/original average cost) x 100

Percent increase = ($3.87/$1.72) x 100

Percent increase = 224.41%

Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.

Step by step (for more help understanding):

The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.

Step 1: Find the difference in the average cost

To find the difference in the average cost, we subtract the original average cost from the new average cost.

$5.59 - $1.72 = $3.87

This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.

Step 2: Find the ratio of the difference to the original cost

To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.

$3.87 / $1.72 = 2.25

This means that the new average cost is 2.25 times the original average cost.

Step 3: Convert the ratio to a percentage

To convert the ratio to a percentage, we multiply it by 100.

2.25 x 100 = 225%

Step 4: Round the percentage to one or two decimal places

Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Hope this helps, If not I'm sorry. If you need more help, ask me! :]

Using the normal distribution, it is found that:

The z-score of a measure X of a variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the fraction presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the number of chips are given as follows:

\(\mu = 1262, \sigma = 118\)

The proportion of bags that has between 1026 and 1380 chocolate chips is the p-value of Z when X = 1380 subtracted by the p-value of Z when X = 1026, hence:

X = 1380:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1380 - 1262)/118

Z = 1

Z = 1 has a p-value of 0.8413.

X = 1026:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1026 - 1262)/118

Z = -2

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

Hence the percentage is 81.85%.

The proportion that has fewer than 1144 chips is the p-value of Z when X = 1144, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1144 - 1262)/118

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the percentage is of 15.87%.

The proportion that has more than 1498 chips is one subtracted by the p-value of Z when X = 1498, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1498 - 1262)/118

Z = 2

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

Hence the percentage is of 2.28%.

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Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,

The volume of Hemisphere = (2/3)πr³

200,000 = (2/3) × π × R³

R = 45.7

The area of the base of the hemisphere is,

Area of the base = πR² = π×(45.7)  = 6561.185 meters²

Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,

Cost of glass = 6561.185 × 0.20 = $1312.24

Hence, the cost of the glass is $1312.24.

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The calculated output value for an input value of 5 is (c) 10

From the question, we have the following parameters that can be used in our computation:

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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Answer:

Step-by-step explanation:

1. The measurement is actual and should be considered as such. Estimate is approximate most of the time.

2. The error is:

3. Percent error:

Answer:

i belive it should add up to 180

Step-by-step explanation:

Answer: 48 oz is the best buy

Step-by-step explanation:

You can get way more for cheaper considering 24oz costs $19.12 and if you do 24x2 you get 48 so if you buy 2 of the 24oz ones you have to pay $18.24

HOPE THIS HELPS ^^

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

The equation that represents the cost of attending the community college based on the credits earned is y = 75x + 30.

Taking 4 credits during their first semester will cost $330.

The general form of a linear equation is y = mx + b,

where m is the slope (rate) and b is the y-intercept (starting value)

Since t will cost the student an initial fee of $30 to enroll and $75 for every credit the student plans on taking. We can say:

initial fee (b) = $30 and rate (m) = $75

Thus, the equation that represents the cost of attending the community college based on the credits earned will be:

Subtutiute b = 30 and m = 75 into y = mx + b

y = 75x + 30

If the student plans on taking 4 credits during their first semester that means x = 4. Put x = 4 into  y = 75x + 30. That is:

y = 75x + 30

y = 75(4) + 30

y = 300 + 30

y = 330

Therefore, taking 4 credits during their first semester will cost $330.

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\(\begin{array}{ccll} lbs&acre\\ \cline{1-2} 6.4&1\\ x&18.5 \end{array}\implies \cfrac{6.4}{x}=\cfrac{1}{18.5}\implies (6.4)(18.5)=x\implies 118.4=x\)

Answer:

\(238cm^3\)

Step-by-step explanation:

The equation for volume is length x width x height

The equation for area is length x width

Since the area of the base is known, we can substitute that into the volume equation

base x height

34 x 7 = 238 cm^3

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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y and x graph

Step-by-step explanation:

Answer: a. 0.13% b. 2.28%

Step-by-step explanation:

Let x denotes the useful life of batteries.

Given: months,

Since X is normally distributed.

The probability that batteries with a useful life of less than 38 months

The percent of batteries with a useful life of less than 38 months =0.13%

The probability that batteries will last longer than 68 months

The percent of batteries that will last longer than 68 months =2.28%

Step-by-step explanation:

Answer:

20 times 4 = 20

Step-by-step explanation:

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To be able to determine how many cups of strawberries does Maria use, we will be using the given clue regarding the number of strawberries she uses for the salad.

"The amount of strawberries that Maria uses is 3/8 times the amount of the other fruits combined."

From that, we generate this computation for the number of strawberries:

We get,

Therefore, Maria uses 3 1/4 cups of strawberries in making the salad.

Answer:

80 degrees

Step-by-step explanation:

The total angle measure of a triangle, no matter the type, is always 180 degrees.

Using this, we can calculate the missing angle:

\(180=65+35+x\)

\(x=180-(65+35)\)

\(x=180-100\)

\(x=80\)

The measure of angle x in the triangle is 80 degrees.

The figure in the image is a triangle.

From the diagram:

Angle 1 = x

Angle 2 = 65 degrees

Angle 3 = 35 degrees

To solve for the measure of angle x, we use the fact the the sum of the interior angle of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

Plug in the values:

x + 65 + 35 = 180

Collect and add like terms:

x + 100 = 180

Subtract 100 from both sides:

x + 100 - 100 = 180 - 100

x = 180 - 100

x = 80°

Therefore, angle x has a measure of 80 degrees.

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Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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