the garage on a house blueprin t measures 4 inches wide and 6 i9nches long. If the actual garage is going to have a length of 45 feet what will its width be

a. An equation that relates the area you will varnish to the​ number of quarts of varnish that you need is A = 100x.

b. Another equation that relates the number of quarts of varnish that you need to the area you will varnish is x = A/100.

c. The amount of varnish you would need for an area of 8 ft by 60 ft or 480 sq. ft is 4.8 quarts.

In order to write a linear equation to describe this situation, we would assign a variable to the area and the number of quarts of varnish, and then translate the word problem into a linear equation as follows:

Part a.

Since an average quart covers 100 square feet, a linear equation to describe the area you will varnish to the​ number of quarts of varnish that you need can be written as follows;

A = 100x.

Part b.

By making x the subject of formula, the number of quarts of varnish that is needed with respect to the area you will varnish is given by;

x = A/100.

Part c.

When area = 480 square feet, the number of quarts of varnish that is needed is given by;

x = 480/100

x = 4.8 quarts.

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Answer:

1200 ft in one hour

Step-by-step explanation:

The ratio of Sam crawling 20 ft in one minute can be written as:

20:1

Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:

 20    :    1

×60     ×60

To get:

1200:60  ⇒  This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.

Hope this helps! :)

Answer:

Step-by-step explanation:

Solution:

= − 5

Answer:

See below

Step-by-step explanation:

The LHS and RHS are exactly the same, so the equality is true.

The associate property of addition says that

\(\boxed{a+(b+c)=(a+b)+c}\)

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)

\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)

\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)

\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)

\(\dfrac{ 23 }{12}\)

Answer:

You gotta give me (us) more to work with homie.

Step-by-step explanation:

If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(

Answer: (-0.5, 3)

Step-by-step explanation:

     The solution of two graphed linear functions is the point of intersection, also known as the point the lines cross each other. See attached for a visual. These lines intersect at point (-0.5, 3) which means our answer is;

                (-0.5, 3)

Answer:

The three side lengths given, 12 ft, 16 ft, and 20 ft can form a right triangle. This is because the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 20^2 = 12^2 + 16^2, so the sides 12 ft, 16 ft and 20 ft can form a right triangle.

Answer:

$79.98-$75.02=$04.96

Answer:

$04.96 is right answer am I right or wrong hope I am right

Answer:

Step-by-step explanation:

the total cost, c  will be

     c= p(4.29)+k(2)

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

9514 1404 393

Answer:

  $170

Step-by-step explanation:

If the price of a pair of Jordans is the same as the price of two shirts, the total purchase has a value equivalent to that of 3 Jordans.

  pair of Jordans = $510/3 = $170

Answer:

$170

Step-by-step explanation:

Given:

a.) Daryl was prescribed 14 antibiotic tablets for an infection.

b.) The directions on the prescription bottle say to take one tablet a day for 14 days.

c.) There are 8 tablets left in the bottle.

For us to be able to determine what fraction of the prescription has Daryl taken, we will be using the following formula:

We get,

Therefore, Daryl has already taken 3/7 of the prescription.

Answer:

$17/ $25/$41

Step-by-step explanation:

brainliest pls

Answer:17 dollars .

Step-by-step explanation:

Because 9 is already the amount and 2 people in the car so multiple 4 x 2 and get 8 and 9 +8 = 17 so theirs your answer .

Answer:

3-4 no 4-3=1

Step-by-step explanation:

this is the anwers

The 20th and 25th percentiles are both 21, while the 65th and 75th percentiles are both 29, based on the ordered data values provided.



To find the percentiles, we first need to arrange the data values in ascending order: 16, 21, 24, 24, 26, 29, 31, 33.

1. 20th percentile: Since 20% of the data is below this value, we multiply 20 by the total number of data points (8) and divide by 100. The result is 1.6. Since this is not an integer, we round up to the next whole number, which is 2. The 20th percentile is the second value in the ordered list, which is 21.

2. 25th percentile: Following the same approach as above, 25% of the data is below this value. Multiplying 25 by 8 and dividing by 100 gives us 2. The 25th percentile is the second value, which is also 21.

3. 65th percentile: This time, 65% of the data is below the value. Multiplying 65 by 8 and dividing by 100 yields 5.2. We round up to the next whole number, which is 6. The 65th percentile is the sixth value, which is 29.     4. 75th percentile: 75% of the data is below this value. Multiplying 75 by 8 and dividing by 100 gives us 6. The 75th percentile is the sixth value, which is also 29.

Therefore, The 20th and 25th percentiles are both 21, while the 65th and 75th percentiles are both 29, based on the ordered data values provided.

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Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

the y-intercept is 0

Step-by-step explanation:

it goes straight through the origin

Answer:

they are equal

Step-by-step explanation:

\(\frac{1}{4}\) × 48 ( cancel 4 and 48 by 4 )

= 1 × 12 = 12

\(\frac{1}{5}\) × 60  ( cancel 5 and 60 by 5 )

= 1 × 12 = 12

The 2 quantities are equal

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number :)

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

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

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

y = - 6

Step-by-step explanation:

Locate x = - 7 on the x- axis, go vertically down to meet the graph at (- 7, - 6)

Then output is y = - 6 when input is x = - 7

The relative frequency of girls who chose blue as their favorite color as 14/80 = 0.175 or 17.5%.

To complete the relative frequency table, we need to calculate the percentage of each category with respect to the total number of students (80).

Total Relative Frequency Table

Favorite Color Red Blue Green Total

Boys 18/80 = 0.225 = 22.5% 10/80 = 0.125 = 12.5% 6/80 = 0.075 = 7.5% 44/80 = 0.55 = 55%

Girls 22/80 = 0.275 = 27.5% 14/80 = 0.175 = 17.5% 10/80 = 0.125 = 12.5% 46/80 = 0.575 = 57.5%

Total 40/80 = 0.5 = 50% 24/80 = 0.3 = 30% 16/80 = 0.2 = 20% 80/80 = 1 = 100%

In the relative frequency table, we calculate the percentage of each category (boys, girls, and total) for each favorite color.

For example, the relative frequency of boys who chose red as their favorite color is 18/80 = 0.225 or 22.5%.

Similarly, we can calculate the relative frequency of girls who chose blue as their favorite color as 14/80 = 0.175 or 17.5%.

The last row in the table shows the overall relative frequencies for each color, calculated as the proportion of all students who chose that color as their favorite.

For example, 40 out of 80 students (or 50%) chose red as their favorite color.

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Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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The probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

Probability is a measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event that will not occur, and 1 represents a certain event that will always occur.

According to the given information:

There are 5 balls numbered 1 through 5 in the bowl. The total number of possible outcomes, when Josh chooses a ball, is 5, as there are 5 balls in the bowl.

Now let's consider the probability of choosing a ball with an even number. There are 3 even numbers (2, 4, and 5) out of the 5 possible numbers, so the probability of choosing a ball with an even number is 3/5.

Next, let's consider the probability of choosing a ball with a number greater than 2. There are 3 numbers (3, 4, and 5) greater than 2 out of the 5 possible numbers, so the probability of choosing a ball with a number greater than 2 is also 3/5.

To find the probability that the product of the two chosen numbers will be even and greater than 2, we need to multiply the probabilities of choosing an even number and choosing a number greater than 2.

Probability of choosing an even number: 3/5

Probability of choosing a number greater than 2: 3/5

Multiplying these probabilities, we get:

(3/5) * (3/5) = 9/25

So, the probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

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Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees

After figuring out the given issue, we discovered that the original square's area and the dilated square's area differ by 32 square centimeters.

Square Area = Side x Side. Hence, Side2 square units are equivalent to the area of the square. and four side units make up a square's perimeter.

The formula for calculating the area of a initial square with sides that are 2 centimeters long is:

A = s²

A = 2²

A = 4 square centimeters

The revised side length of this square after dilation by a scale factor of 3 is:

s' = 3s

s' = 3(2)

s' = 6 centimeters

Calculations for the dilated square's area are as follows:

A' = s'²

A' = 6²

A' = 36 square centimeters

The area of a dilated square differs from the size of the original square by:

A' - A = 36 - 4

A' - A = 32 square centimeters

As a result, the original square's area and the dilated square's area differ by 32 square centimeters.

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There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit