jim built a large rectangular planter bed for his garden. The length of the planter is 2 feet longer than 3 times the width. The perimeter of the planter bed is 92 feet. Write and solve an equation to find the length and width of the planter bed.

Answer:

y = 3x

Step-by-step explanation:

slope intercept form is y = mx + b with m as the slope and b as the y-intercept

to find the slope you can see where the line intersects at (1, 3) and (0,0) If you look at the graph you count up three spaces over one so the slope is 3

since the y-intercept intersects at (0,0) The y-intercept is 0 and you do not have to add that to the answer

Answer:

y=3x I think if not sorry

Step-by-step explanation:

have great evening,day,night,morning!

The temperature at which the crickets do not chirp is represented by the number 38, which serves as the y-intercept of the linear equation.

The equation is as follows:

T = 38 + 0.3*c

The temperature is denoted by T, while the number of chirps in a minute is denoted by c.

We want to know what the number 38 means.

Take c = 0 to demonstrate this as there are no chirps.

Then:

T = 38 + 0.33*0 = 38

T = 38

This is the temperature where crickets cease to chirp.

The temperature at which the crickets do not chirp is represented by the number 38, which is the y-intercept of the linear equation.

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The probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

Given that x is uniformly distributed between 0 and 2.

Therefore, the probability density function:

f(x)= 1 / (b-a) = 1 / (2-0)

= 0.5

This will be illustrated as:

P(X<=x)=(x-a)/(b-a)=(x-0)/(2-0)=x/2

Now, we have to find:

P(x >= 0.48)

= 1 - P(x<=1.68)

= 1-(0.48 / 2)

= 1 -0.24

= 0.76

Therefore, the probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

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The probability of at least 2 students showing up is .70 or 70%

Let X be the number of students who show up for a professor's office hour on a particular day, probability of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15

If we add the probability of 1 student showing up, 2 students to show up, 3 students to show up, and 4 students showing up

We get 0.10+ 0.20+ 0.25+ 0.15 =1

As the sum of these individual 4 possibilities is 1 that means these are the only possibilities  to exit

Now we need to find out  the probability of at least 2 students showing up which means the probability of two or more students showing up

Which can be written as

            p(≥2) = p(2) + p(3) + p(4)

            p(≥ 2) = 0.25+0.30+0.15

           p(≥2) = 0.70

Hence, the probability of at least 2 students showing up is .70 or 70%

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The width of the drawing maintaining the given scale factor will be 70.83 inches².

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio between two dimensions that determines how big or tiny a given figure is.

The length of the floor in actuality = 30 feet

⇒ 30 × 12 = 360 inches

Length of the floor in drawing = 10 inches

Scale factor = 10/360 = 1/36

By maintaining this scale factor

Width of the floor in drawing = (21 × 12)/36

⇒ 7.083 inches

Area = length × width

Area = 10 × 7.083

⇒ 70.83 inches²

Hence "The width of the drawing maintaining the given scale factor will be 70.83 inches²".

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Answer:

Step-by-step explanation:

you add all of that up and you get your answer then you subtract that answer to 100 then that’s your answer.

Answer:

First what you want to do is start with the socks.

Socks cost $9.00 so if he is buying 3 pair you would multiply by 3.

9 times 3 is 27. = $27

He bought 2 belts and the belts cost $10.00 so you would multiply that by 2.

10 times 2 is 20. = $20

He bought 1 hoodie which amounts to $29.99 and a pair of shoe laces that amounts to $1.50.

Now what you do is add all thew prices together.

$27 + $20 + $29.99 + $1.50 = $78.49

Final, since he is paying with a hundred dollar bill you want subtract that from the total amount.

$100 - #78.49 = $21.51

So he would get back a total of $21.51.

Step-by-step explanation:

Hope it helps! =D

The value of 1 Cubic Foot is said to be 28316.85 Cubic Centimeters.

A cubic foot is a unit used to measure the volume of a cube with one foot-long sides. It is a unit to measure a unit volume and is symbolically represented as [tex]ft^{3}[/tex]. It is primarily used in the customary and imperial systems of measurement in the United States.

The volume of a cube with sides that are each one centimeter long is measured in cubic centimeters. It is a unit for measuring a unit volume that is symbolically represented as [tex]cm^{3}[/tex] and is typically used to measure lower volumes.

Conversation: The value of 1 cubic foot is approximately equal to 28316.85 cubic centimeters. So, to convert cubic feet to cubic meters, we have to multiply the given foot value by 28316.85 cubic centimeters.

Hence 1 Cubic Foot = 28316.85 Cubic Centimeters.

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Answer: =−13 1/3

Step-by-step explanation:

The perimeter of the given figure is 56x.

So, perimeter: sum of all the sides

Then, according to the given figure:

Therefore, the perimeter of the given figure is 56x.

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The number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

In this question we have been given a standard deck of 52 cards.

We need to find the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement.

We use the permutation formula.

We know that the number of ways to choose r elements from a set of n distinct objects where order does matter and replacements are not allowed.  

^n(P_r) = n! / (n - r)!

We know that, in a standard deck of 52 cards, there are 13 spade cards.

So, n = 13

5 spades to be drawn

So, r = 5

Using the formula of permutation,

^13(P_5)

= 13! / (13 - 5)!

= 154440

Therefore, the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

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The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

The observed difference is thought to be the sole product of chance, which is the underlying premise. Statistical testing can be used to calculate the likelihood that the null hypothesis is true.

As part of hypothesis testing, the null hypothesis is a made-up assertion that is intended to see if it can be rejected. It is incorrect to draw the conclusion that a result supports the null hypothesis when it is not extreme enough to do so.

This is because the research hypothesis is true, but the result in the particular sample was not extreme enough to enable the null hypothesis to be rejected.

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The score the student must get on the next test to get a C average or better is 86.

From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.

The next score will be calculated as x.

60 + 71 + 63 + x = (70 × 4)

194 + x = 280

x = 280 - 194

x = 86

Therefore, the next score must be 96.

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Fraction of the students are studying more than one hour each night is 17/24.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Total student in the class = 48

students studying less than 1 hour = 8

students that don't study at night = 6

students studying more than one hour a night = 48 - (8+6) = 34

fraction of the students studying more than one hour -

= 34/48

= 17 / 24

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The cost of 12¼ m of cloth is 212.3 rupees.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

We have been given that 1 m of cloth costs rupees 17⅓.

We have to determine the cost of 12¼ m of cloth.

Let the cost of 12¼ m of cloth would be x rupees

We can write this as a ratio as

1 m : rupees 17⅓ = 12¼ m : x rupees

[17⅓ = 52/3 = 17.3 and 12¼ = 49/4 = 12.25]

1 m : 17.3 rupees  = 12.25 m : x rupees

⇒ 1 /17.3  = 12.25 /x    

⇒ (1)(x) = (12.25 )×(17.3)

⇒ x = 212.3

Therefore, the cost of 12¼ m of cloth is 212.3 rupees.

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Answer:add 5 and 4, you get 9. divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share.

Step-by-step explanation:

Answer:

Sam gets £30

Bethan gets £24

Step-by-step explanation:

Since they split the money in a ratio of 5:4, that means for every 5 parts of the money that Sam gets, Bethan gets 4 parts. The total of 5 parts and 4 parts is 9 parts.

To find how much each part is, we divide £54 by 9.

£54/9 = £6

Each part is £6.

Sam gets 5 parts: 5 × £6 = £30

Bethan gets 4 parts: 4 × £6 = £24

Answer:

19.625 units

Step-by-step explanation:

[tex]\text{ Arc length } = 2 \pi r \times \frac{\theta}{360}[/tex]

[tex]\begin{gathered}\text{Arc Length } = 2\times 3.14 \times 12.5 \times \frac{50}{360}\\\\\text{Arc length } = 78.5 \times \frac{1}{4}\\\\\text{Arc Length } = 19.625\end{gathered}[/tex]

Thus length of arc is 19.625 units

The sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'. which is the correct answer would be (D)

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Triangle ABC has translated 12 units to the right, followed by a reflection across the x-axis. Which is a true statement

Triangle ABC is reflected across the y-axis, followed by a translation 12 units down. Which is a false statement

Triangle ABC is reflected across the x-axis, followed by a translation of 12 units to the right.  Which is a true statement

Therefore, the sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'.

Hence, the correct answer would be (D)

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The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

The given parameters are

Red = 10

Yellow = 5

Blue = 6

The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is

P = P(Blue) * P(Red Having selected Blue)

So, we have

P = 6/21 * 10/20

Evaluate

P = 1/7

Hence, the probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

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Answer:

The answer is that there are 18 different combinations of vehicles.

Step-by-step explanation:

We are given that the number of vehicles for his business = 3.

The vehicles are a car, truck, and motorcycle.

So we know that there is two possibilities for car: Red and yellow.

Three possibilities for truck: Black, white, and silver.

Three possibilities for motorcycle: Green, blue and orange.

So now we can make an equation of the different combinations of vehicles that Edwin have to chose from.

So 3 x 3 x 2 = 18

Therefore, there are 18 different combinations of vehicles.

I hope this helps, have a good day!! :D

Based on the given information, the EFG GH Findings.

Refer to the symbols and their associated meanings below.

The symbols shown signify the following.

operations/relationships:

A+B denotes that A is bigger than B.

A-B indicates that A is less than B.

A is more than or equal to 8 when A=B.

A B denotes that A and B are not equal.

A = B is expressed as A/B.

based on the details offered?

Statements: EFG GH Findings

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The maximum number of performers in each row so that all the rows are equal in length is C. 16.

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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Answer:

53.83 km.

Step-by-step explanation:

53.83 km.

give the person above me brainliest

one negative two and then shifted to the rights, that's the translation to the right two units.

What is the sequence of transformation?

its  a 180 Degree Rotation.

And let's see With a 180 degree rotation.

, we can say  coordinates is that  X. Y. Two negative X. Negative Y.

It goes to one negative two and he goes to two negative five And c goes to 5 -2.

So if  one negative two and then shifted to the rights, that's the translation to the right two units.

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Answer:

y=28x+0

Step-by-step explanation:

In each row of the table, y is 28 times the value of x.

The total number of losses is 14.

So, let the total number of lost and gains be 'x'.

Then, the expression:

Therefore, the total number of losses is 14.

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Energy consumed equals 0.133 W/kg

What is energy?

Energy is described as the "capacity to accomplish work, which is the ability to apply a force that causes an object to move." Despite this perplexing terminology, the meaning is straightforward: energy is just the force that causes objects to move. Potential energy and kinetic energy are the two forms of energy.

Weight = 147 lb = 66.68 kg (since, 1 lb = 0.453 kg)
Energy consumed = 1.785 x 103 kcal/day
In Watts = 1.785 x 103 x 0.0484 = 8.9 W/day

Energy consumed watts per kilogram = 8.9/66.68 = 0.133 W/kg

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The expression that represents the area of the given rectangle is: 2x² - 11x - 6.

The area of a rectangle is the product of its width and its length. A rectangle's area is calculated using the formula below:

Area = (length)(width)

Given the following:

Length of the rectangle = 2x + 1

Width of the rectangle = x - 6

Therefore, substituting these into the formula, we have:

Area of the rectangle = (2x + 1)(x - 6)

Area of the rectangle = 2x(x - 6) +1(x - 6)

Area of the rectangle = 2x² - 12x + x - 6

Combine like terms

Area of the rectangle = 2x² - 11x - 6

Therefore, the expression that represents the area of the given rectangle is: 2x² - 11x - 6.

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Because food grows more quickly in the hills when exposed to heat and rain rather than sunlight all day. Then for 1 sheep 1 bushel is required in the hills.

What are statistics?

The practice or science of organizing and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Given that a remote agricultural nation is divided into two distinct geographic areas: a lowland plain and an upland of rough hills. A farmer can grow 10 bushels of grain or pasture 10 sheep on one unit of land on the plain. A farmer in the hills can pasture 4 sheep or grow 2 bushels of grain on one unit of land.

As opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphill = 10 sheep = 10 bushels

For uphill = 1 sheep = 1 bushels

For down plain = 4 sheep = 2 bushels

For down plain = 1 sheep = (1 / 2 ) bushels

Therefore, then for 1 sheep 1 bushel is required in the hills.

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Part 1

[tex](f+g)(x)=f(x)+g(x) \\ \\ =4x+9+7x-5 \\ \\ =11x+4[/tex]

Part 2

[tex](f-g)(x)=f(x)-g(x) \\ \\ =(4x+9)-(7x-5) \\ \\ =4x+9-7x+5 \\ \\ =-3x+14[/tex]

Part 3

[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =(4x+9)(7x-5) \\ \\ =28x^2-20x+63x-45 \\ \\ =28x^2+43x-45[/tex]

Part 4

[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ =\frac{4x+9}{7x-5}[/tex]