How to add fractions with unlike denominators step by step?.

Answer:

Step-by-step explanation:

a: 2(-3x - 2)/2 = -3x - 2

c: -(6x +4)/2 = (-6x  - 4)/2

d: -3x -2 when the brackets are removed and the terms are multiplied by -1/2

Answer:

average is 13.6

Step-by-step explanation:

The correct answer is option d) none of these answers is correct

In Excel, Frequency Distribution is used to show how the data is spread out. This can be accomplished with the help of a Histogram, which provides a clear picture of how the data is distributed. We need Data Analysis Toolpak to create Frequency Distribution in Excel, which we can activate from the Add-Ins option in the Developer menu tab. Once activated, select the Histogram from Data Analysis and the data to be projected.

Using the pivot table to create graphical data is one of the simplest ways to make an excel frequency distribution.

Thus, Excel's pivotTable report function can be used to construct a frequency distribution for quantitative data.

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Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

The most important details are that one century is equal to 100 years, so to find the number of years that have passed since the ship sank, you need to multiply 33 by 100. This will give you the total number of years that have passed since the ship sank, which is 3300 years.

To solve this problem, you need to convert the number of centuries to years. One century is equal to 100 years. Therefore, to find the number of years that have passed since the ship sank, you need to multiply 33 by 100. This will give you the total number of years that have passed since the ship sank. Here's how to do it:33 centuries = 33 x 100 years = 3300 years Therefore, the ship sank 3300 years ago.

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the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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The total number of different paths which we can have as calculated from the given data is 6.

To know the number of different three-step paths along the edges of a cube are there that take us from vertex a  to vertex b.

For the first path no of different ways = 3

For the second path no of different ways = 2

For the third path no of different ways = 1

Therefore , the total number of ways

= 3 x 2 x 1

= 6

The solid three-dimensional shape also known as a cube has six square faces, eight vertices, and twelve edges. A cube is also known as a hexahedron.

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Answer:

84 :)

Step-by-step explanation:

bottom surface area= \(6m^{2}\)

top surface area=\(6m^{2}\)

lateral surface area= \(72m^{2}\)

add this together you get TOTAL surface area of 84

Answer:

it is 24

Step-by-step explanation:

The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

All real numbers.

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that we can input any value x into the function:

(-∞, ∞) or all real numbers

Answer:

graph{2x+3 [-10, 10, -5, 5]

D:{x∈R}

R:{y∈R}

Step-by-step explanation:

This is just a linear function. I know this because the degree of the x-variable is 1.

Domain and range are sets of possible values the function can have - though not necessarily at the same time.

Thus, there are no restrictions to the domain and range unless context is given.

Therefore, the domain and range is:

D:{x∈R}

R:{y∈R}

If we were to graph this function, we would get a straight line.

graph{2x+3 [-10, 10, -5, 5]}

As you can see, there is no restriction to the possible values.

Hope this helps :)

Answer/Step-by-step explanation:

Solve

Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:

\(56x-19=-8y+5\)

\(56x-19+19=-8y+5+19\)                           \(\mathrm{Add\:}19\mathrm{\:to\:both\:sides}\)                                            

\(56x=-8y+24\)

\(\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}\)                                                 \(\mathrm{Divide\:both\:sides\:by\:}56\)

\(\bold{x=\frac{-y+3}{7}}\)

Graph

Now, we can graph. Graph the line using the slope and y-intercept, or two points.

\(\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)\)

\(x\\0\\1\)   \(y\\3\\-4\)

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Answer:

slope=-3

y-intercept=-4

Step-by-step explanation:

slope= change in y/changes in x

pick any 2 co-ordinates (i'm using (-3,5) and (-1, -1))

5--1/-3--1=6/-2=-3

substitute that into the equation y=mx+c with m being the slope

y=-3x+c

-7=-3+c

c=-4

y intercept=-4

A photographer would be most likely to use a large aperture to create depth of field for portraits, wildlife, and sports types of photograph. The reason behind using a large aperture is that it can create a shallow depth of field that will blur the background of the subject which will help in bringing the focus on the subject.

The depth of field can be created by changing the aperture, and the photographer will usually use large aperture to create a shallow depth of field that will blur the background of the subject. In photography, the depth of field is defined as the zone that appears to be in focus in front of and behind the subject. The shallow depth of field can be achieved with the help of the large aperture setting.

The large aperture will help in making the background of the subject blurred and creating the bokeh effect. The photographer can use the shallow depth of field in many ways. It is used in portraits to bring the focus on the subject by blurring the background.

This technique can also be used in wildlife photography to focus on the animal and blur the distracting background. The shallow depth of field can also be used in sports photography to focus on the athlete and blur the audience and distracting background.

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Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\)

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

\(t = 4 + \frac{27}{60} = 4.45\)

Hence, the velocity is given by:

\(v = \frac{d}{t} = \frac{178}{4.45} = 40\)

The bus traveled at a rate of 40 miles per hour.

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Answer:

200 miles

Step-by-step explanation:

Set up a cost equation for each plan using x for miles.

Set the equations equal.

Solve for x, the miles.

For a 1 day rental.

Plan A:

C = 0.18x + 30

Plan B:

C = 66

0.18x + 30 = 66

0.18x = 36

x = 36/0.18

x = 200

Answer: 200 miles

The expression which is not a multiplication of 6 and x is x/6.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6x is a multiplication of 6 and x.

6(x) is a multiplication of 6 and x.

x/6 is not a multiplication of 6 and x.

(6)(x) is a multiplication of 6 and x.

Thus,

x/6 is not a multiplication of 6 and x.

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Answer: So zero represents the point when locating a point on the number line like negatives and positives

Answer:

(-3.1)^8

Step-by-step explanation:

(-3.1)^4•(-3.1)^4

Because they have the same base is -3.1, we can add the ^4 with ^4 and get

(-3.1)^8

So, the answer is (-3.1)^8

Answer:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

Step-by-step explanation:

One hundred thousand Indians and fifteen thousand Californios are the most accurate pair of approximate figures for the late 1840s in California

The indigenous population of California was estimated to be around 100,000 in the late 1840s, while the Californio population, which consisted of Spanish-speaking settlers, was estimated to be around 15,000.

The secularization law lead the Indians to grow crops, herd livestock, and weave clothes, live in the lands to where they migrated. Later the lands under the mission are distributed or sold for less cost to the families and friends of government officers. This mission plan happened in 1840s.

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Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation:

Answer:

8 x + 16

Step-by-step explanation:

math---way

Answer:

i don't know

Step-by-step explanation:

it can be For Each Box, All Of The Dimensions Are 3.5 Cm Less Than The Next Larger Box. What Is The Volume Of Box D To The Nearest Cubic or For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the

Answer:

23/100

Step-by-step explanation:

Given the decimal value 0.23, to write as a fraction;

0.23 = 23/100

The place value of dot will be replaced as 1 at the denominator and since the decimal is in 2 decimal places, two zeros will be added to after the 1 to make it 10 thereby making the required fraction 23/100.  Hence the value of 0.23 as a fraction will be 23/100

1. The  equation z⁵ = w has one complex solution, given by z ≈ 1.3797\(e^{(2i)\)

2. The modulus of the fifth roots of w is \(5^{(1/5)\) ≈ 1.3797.

3. The argument of the fifth root of w that is closest to the positive real axis is 2°.

1. The equation \(z^5\) = w can be written as \(z^5 = 5e^{(10)\).

In this case, r = 5 and θ = 10°. So, we can rewrite the equation as

\(z^5 = 5e^{(10)\).

Since z is a complex number, it can be expressed as z = \(re^{(\theta i)\), where r is the modulus and θ is the argument.

Now, we can substitute z = \(re^{(\theta i)\),

\((re^{(\theta i))}^5 = 5e^{(10)}\\r^5 e^{(5\theta i)} = 5e^{(10)\)

Comparing the real and imaginary parts, we get:

r⁵ = 5      -----(1)

5θ = 10°    -----(2)

From equation (2), we can solve for θ:

θ = 2°

Now, substitute this value of θ back into equation (1):

r⁵ = 5

Taking the fifth root of both sides, we get:

r = \(5^{(1/5)\) ≈ 1.3797

Therefore, the equation z⁵ = w has one complex solution, given by z ≈ 1.3797\(e^{(2i)\).

2. The fifth roots of w all have the same modulus. The modulus is given by the fifth root of the modulus of w.

In this case, the modulus of w is 5.

Therefore, the modulus of the fifth roots of w is \(5^{(1/5)\) ≈ 1.3797.

3. The argument of the fifth root of w that is closest to the positive real axis is 2°.

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Answer:

let the first sequence be denoted by A

and other sequence be B

then if be take 2 as common by A then we get 1 2 3 4 5 which is same as B this means A is double of B

The number of bags of sand needed to fill the sandbox is 18 bags

Volume = L × W × H

= 4 1/2 × 4 × 1/2

= 4.5 × 4 × 0.5

= 9 ft³

Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag

= 9 ft³ ÷ 1/2 fr³

= 9 × 2/1

= 18 bags

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The probability that Lila selects a black ribbon and Jessica selects a green ribbon is the fraction 51/380. Option D is correct.

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

total number of ribbon = 3 + 17

total number of ribbon = 20

probability Lila selects a black ribbon at random = 3/20

probability Jessica selects a green ribbon at random from the remaining ribbons = 17/19

probability that Lila selects a black ribbon and Jessica selects a green ribbon = 3/20 × 17/19

probability that Lila selects a black ribbon and Jessica selects a green ribbon = 51/380

Therefore, the probability that Lila selects a black ribbon and Jessica selects a green ribbon is the fraction 51/380.

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