To which set or sets of numbers does the number 5 belong?

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

it is diff because o the parentheses

Step-by-step explanation:

a. The angle that the ship turn through when it headed back to the port is 6.4°.

b. The total area that the ship covered during its journey 80.3 miles.

a. Angle

Let p represent the angle

Sin(180°-15°)/139=SinP/60

Sin165°/139=SinP/60

P=Sin^-1 (60sin165°/139)

P=6.4°

b. Total area covered

Let x represent the Total area covered

Hence:

Sin8.6°/x=Sin165°/139

x=80.3 miles

Inconclusion the ship turn at angle 6.4° and the total area is  80.3 miles.

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The missing coordinate in the ordered pair (5, ?) that satisfies the equation 4x - 3y = 18 is y = 2/3. Hence, the complete ordered pair is (5, 2/3).

To determine the missing coordinate in the ordered pair (5, ?) that satisfies the equation 4x - 3y = 18, we can substitute the given x-coordinate, which is 5, into the equation and solve for y.

Let's substitute x = 5 into the equation:

4(5) - 3y = 18

20 - 3y = 18

Now, we can solve for y by isolating it on one side of the equation:

-3y = 18 - 20

-3y = -2

Divide both sides of the equation by -3 to solve for y:

y = -2 / -3

y = 2/3

Therefore, the missing coordinate in the ordered pair (5, ?) that satisfies the equation 4x - 3y = 18 is y = 2/3. Hence, the complete ordered pair is (5, 2/3).

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Question

Following equation. 4x-3y=18 Determine the missing coordinate in the ordered pair (5,?) so that it will satisfy the given equation.

Answer:

download gauthmath it will help you answer this

Answer:

\(106 \frac{3}{5}\)

Explanation:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

\(\frac{26}{5} \times \frac{-31}{3}\)

Next, apply the fractions formula for multiplication. Formula below:

\(\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}\)

\(= \frac{26 \times -41}{5 \times 2}= \frac{-1066}{10}\)

Simplifying -1066/10, (you can do this by using division) the answer is:  

\(106 \frac{3}{5}\)

Answer:

-3 1/3

Step-by-step explanation:

5 2/10 x -10 1/3

10/10 x -10/3

1 x-10/3

-10/3

-3 1/3

your question is unclear. I think I understand it correctly

The standard deviation of the data in this problem is given as follows:

0.5.

Considering the bell curve of the distribution, the distribution in this problem is the normal distribution.

The mean of the distribution is the center value of the distribution, which is given as follows:

2.

The standard deviation is the change at the tails of the distribution, hence it is given as follows:

0.5.

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\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

Answer:

Choose

a

,

b

and

c

the make the equation true.

Step-by-step explanation:

A linear equation can be written in several forms. "Standard Form" is

a

x

+

b

y

=

c

where

a

,

b

and

c

are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii)

(

4

,

−

3

)

is a solution to both.

a

x

+

b

y

=

c

. We want

a

,

b

and

c

so that

a

(

4

)

+

b

(

−

3

)

=

c

The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Answer

Rise/run = 20 miles/gallon

The equation of the line is y = 20x

Check Explanation for more.

Explanation

The rise-run is another name for the slope.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

For this question,

(x₁, y₁) and (x₂, y₂) are (3, 60) and (4, 80)

x₁ = 3

y₁ = 60

x₂ = 4

y₂ = 80

The equation of the line is y = 20x

Hope this Helps!!!

Answer:

Jayden: 9t+3s=420

Carson: 1t+6s=296

Step-by-step explanation:

I hope that helps =)

Answer:

40%

Step-by-step explanation:

I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.

There will be 40 percent decrease in the price of the car after two years.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The initial price of car = $14,000

After two year, the price of car = $8,400

The decrease in the price of the car = 14,000- 8,400

                                                             = 5600

The decrease in percentage = 5600×100/14000

                                                = 560/14

                                                 = 40%

The percent decrease in the value of the car after two year is 40%.

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Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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BAnswer:

B-D-A

Step-by-step explanation:

-

Answer: (3,9)

Step-by-step explanation:

They're asking which ordered pair \((x,y)\) satisfies both equations when you plug in \(x\) and \(y\). Well since you're plugging in the same \(y\) to both equations, \(3x\) should equal \(2x + 3\) (think about it). And solving \(3x = 2x + 3\) gives \(x = 3\), so the answer is

\((x,y) = \boxed{(3, 9)}\)

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)

The complete question is in the attached image (the first graph)

From the graph, we have:

f(x) = x^2 - 3 and g(x) = -x^2 + 2

To derive y ≤  x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.

To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than

The inequalities of the graphs become

y ≤ x^2 - 3 and y > -x^2 + 2

From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)

Hence, the solution of the set of inequalities is (±1.581, -0.5)

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There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer:

The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters what is the length?

Area = L*W

L = Area/W = 24396/38

L = 642 cm

Answer:

A=-6

Step-by-step explanation:

Answer:

B, D, and E

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

It's supplementary to angle DAC.

Answer:

cost of paint set  =$19.5

cost of Sketchbook = $13

cost of brush =  $3..25

Step-by-step explanation:

Total money with Nate = $37.75

Let the cost of paint set be $x

As the  Sketchbook cost 2/3 the cost of the paint set

Thus cost of Sketchbook = $(2/3)x

Cost of brush is 1/4 of Sketchbook

Thus cost of brush = (1/4)*(2/3)x =$ 1/6x

Total cost of all the three item in terms of x  is

x + (2/3)x + ( 1/6)x

=>(6x+4x+x)/6 = 11x/6

Given that after money spent on buying all the three thing Nate has left $2

subtracting money spent on buying three things from total money is equal to $2

Mathematically it can be written as

$37.75 -  11x/6 = $2

=> $37.75  - $2  11x/6

=>$35.75 =  11x/6

=> $35.75*6 = 11 x

=> $214.5 = 11x

=> $214.5/11 = x  

=> x = 19.5

Thus,

cost of paint set  = x = $19.5

cost of Sketchbook = $(2/3)x =$(2/3)*19.5 = $13

cost of brush = $ 1/6x = $ (1/6)*19.5 = $3.25

Answer:

1. 7 1/3

2. 6 3/4

Step-by-step explanation:

If you know how to divided you can answer by yourself if you dont here is how. For number one convert 5 1/2 in a improper fraction. You do 5x2=10 plus 1 equals 11. So the improper fraction is 11/2. Then you MULTIPLY 11/2 by 4/3 which is the reciprocal of 3/4. That equals 44/6. Which can be to 7 1/3.

Answer:

divide of 7/1/2and1/3

Answer:

Step-by-step explanation:

(2d + 1)(3d - 1)

2d(3d - 1) + 1(3d - 1)

6d^2 - 2 + 3d + 1

6d^2 - 1 + 3d

6d^2 + 3d - 1 (after arranging in standard form)

Answer:

7d/(2d+1)(3d-1)=6d^2 + 3d - 1

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered.