what's the difference between two step equations and one step equations

The value of 4.62 times 3.78 equals 17.4828.

We have to find  4.62 times 3.78 in standard algorithm

To multiply 4.62 by 3.78 using the standard algorithm, follow these steps:

 4.62

x 3.78

------

 27756  (multiply 8 by 2)

+184368  (multiply 7 by 2, then 8 by 6, and add to the previous result)

-------

 17.4828  (the final answer)

Hence, the value of 4.62 times 3.78 equals 17.4828.

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Answer:

please screen shot it so we cna help you

The distance between two opposite corners of the floor is 5 meters.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that 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.

Using the Pythagorean theorem, the distance between two opposite corners of the floor can be found by calculating the length of the hypotenuse of a right triangle whose legs are the length and width of the floor. Therefore,

c² = a² + b²

where c is the length of the hypotenuse, a is the length of the floor (3 meters), and b is the width of the floor (4 meters).

Substituting the values, we get:

c² = 3² + 4²

c² = 9 + 16

c² = 25

Taking the square root of both sides, we get:

c = √(25)

c = 5

Therefore, the distance between two opposite corners of the floor is 5 meters.

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Let

x = Trey's savings

x + 27 = Tyler's savings

The sum of their savings is $85, which can be translated to

(x) + (x+27) = 85

Simplify the equation

x + x + 27 = 85

2x + 27 = 85

Answer:

Part 1

Fraction

A fraction is a way to describe a part of a whole. such as the fraction  can be described as 0.25

The correct order of the words used will be fraction, denominator, product, and numerator.

Part 2 - Explanation

Given to us,

Words that can use are product, denominator, whole number, fraction, and numerator.

Solution

When you multiply a fraction by a whole number, the denominator in the product is the same as the denominator of the fraction. The numerator in the product is the same as the product of the whole number and the numerator of the fraction.

Example,

Hence, the correct order of the words used will be fraction, denominator, product, and numerator.

Step-by-step explanation:

When a person's test performance can be compared with that of a representative and pretested sample of people, the test is said to be standardized.

Standardization refers to the process of establishing norms or standards for a test by administering it to a representative and pretested sample of individuals. This allows for a comparison of an individual's test performance to that of the larger group. When a test is standardized, it means that it has undergone rigorous development and validation procedures to ensure that it is fair, consistent, and reliable.

Standardized tests provide a benchmark for evaluating an individual's performance by comparing their scores to those of the norm group. The norm group consists of individuals who have already taken the test and represents the population for which the test is intended. By comparing an individual's scores to the norm group, it is possible to determine how their performance ranks relative to others.

Therefore, when a person's test performance can be compared with that of a representative and pretested sample of people, it indicates that the test is standardized. Standardization is an essential characteristic of reliable and valid tests, as it ensures consistency and allows for meaningful comparisons among test-takers.

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Answer:

18

Step-by-step explanation:

\(distance=\sqrt{(1+2)^2+(2+1)^2}=\sqrt{18}.\)

Answer:

K = 3D + 6

Step-by-step explanation:

Let Mr Kim's age be denoted by K and his daughter by D.

It states that :

Then the expression will be :

Answer:

a) Height of the ledge is 1.6 m.

b) roots of the equation are: \(\bf d = 2\) ,  \(\bf d = -1\)

c) Maximum height reached = 1.8 m.

Step-by-step explanation:

a) The height of the ledge is the same as the height at which Jake is when he hasn't moved any horizontal distance from the ledge yet, that is, when d = 0:

\(h = -0.8(0)^2 + 0.8(0) + 1.6\)

⇒ \(\bf h = 1.6 \space\ m\)

∴ Height of the ledge is 1.6 m.

b) The x-intercepts occur where y = 0, that is when h = 0:

\(-0.8d^2 + 0.8d + 1.6 = 0\)

Divide both sides of the equation by -0.8:

\(d^2 - d -2 = 0\)

Factorizing:

⇒ \(d^2 -2d + d - 2 = 0\)

⇒ \(d(d-2) +1 (d-2) = 0\)

⇒ \((d-2)(d+1) = 0\)

⇒ \(d - 2 = 0\)    or    \(d + 1 = 0\)

∴ roots are :  \(\bf d = 2\)   ,   \(\bf d = -1\)

c) To find the maximum value of a quadratic equation in the form

y = ax² + bx + c , use the formula:

max = c - (b² / 4a).

Using the formula for \(h = -0.8x^2 + 0.8x + 1.6\) :

max h =  \(1.6 - ( \frac{0.8^2}{4(-0.8)} )\)

       = 1.8

∴ Maximum height reached = 1.8 m.

Answer:

  a) 1.6 m

  b) -1, 2 meters

  c) 1.8 m

Step-by-step explanation:

Apparently, technology tools are allowed when solving this problem. They readily show you the x- and y-intercepts and the vertex of the graph.

The height of the ledge is the value of h when d=0. It is the constant in the given equation, and the y-intercept of the graph.

The height of the ledge is 1.6 meters.

The x-intercepts are the values of d that make h equal to zero. The graph shows them to be ...

 d = -1

  d = 2 . . . . meters

The maximum height is the "h" coordinate of the vertex (d, h).

The maximum height is 1.8 meters.

__

Additional comment

"x" is the generic independent variable. The horizontal axis of a graph is often called the "x-axis" and places where the graph crosses that axis are called "x-intercepts" even when the independent variable is named something else. Here, the independent variable is "d", not "x".

Similarly, "y" is the generic dependent variable, and the vertical axis of a graph is often called the "y-axis" even when the dependent variable is something else. This is why we refer to h when d=0 as the "y-intercept". It is the point where the graph crosses the vertical axis.

Answer:

  B, E are true

Step-by-step explanation:

You want to identify the true statements about the circumscribed triangle figure.

The sum of the inscribed angles is correctly shown as 180°. That is the sum of the angles interior to the triangle. However, the sum of the arcs of the circle is twice that, 360°. The statement is False.

The perpendicular bisector of any chord of a circle passes through the center of the circle. The statement is True.

Inscribed angle ADC is half the measure of central angle ABC subtending the same arc AC. The statement is False.

The distance from the center (B) to any point on a circle is the same. The statement is False.

The circle passes through the vertices of triangle ACD. Such a circle is said to circumscribe the triangle. The statement is True.

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Determining the multiplicity at the end of an association representing a relation between the instances of three classes involves identifying the classes, determining the relationships between the classes, establishing the multiplicity for each relationship, creating a diagram, and determining the overall multiplicity.

To determine the multiplicity at the end of an association representing a relation between the instances of three classes, follow these steps:
Identify the classes involved
First, identify the three classes that are involved in the association. These classes represent the entities or objects that are connected by the association.
Determine the relationships between the classes
Next, determine the relationships between the classes. These relationships could be one-to-one, one-to-many, or many-to-many. The relationships are important for understanding the multiplicity of the association.
Establish the multiplicity for each relationship
For each relationship between the classes, establish the multiplicity. The multiplicity indicates the number of instances of a class that can be associated with the instances of another class. The multiplicity can be specified as a range (e.g., 0..1, 0..*), an exact number, or a combination of both.
Create an association diagram
Create a diagram that represents the association between the classes. Place the classes in boxes, and use lines to connect the boxes. Label the lines with the relationships and multiplicity determined in the previous steps.
Determine the overall multiplicity
To determine the overall multiplicity at the end of the association, examine the multiplicity values on each line in the diagram. The end of the association will have a multiplicity value that reflects the combination of multiplicities from each relationship between the classes.
For example, if Class A has a one-to-many relationship with Class B, and Class B has a one-to-one relationship with Class C, the overall multiplicity at the end of the association representing a relation between instances of Class A, Class B, and Class C would be one-to-many.
In conclusion, determining the multiplicity at the end of an association representing a relation between the instances of three classes involves identifying the classes, determining the relationships between the classes, establishing the multiplicity for each relationship, creating a diagram, and determining the overall multiplicity.

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Answer:

No

Step-by-step explanation:

No

Answer:

d=1

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

The formula for the area of the Trapezoid is:

\(A=\frac{a+b}{2}h=\frac{7+7}{2}2=14\)

The formula for the area of the rectangle is:

\(A=wl=6*15=90\)

Now you rest 90 - 14 and it gives you 76.

Given: 68 x 20

The product of the question will be = 1,360

68

x 20

=====

1360

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

Answer:

Do not forget to round and multiply.

Step-by-step explanation:

Answer:

if I am correct 2/3 is bigger than 0.65

and I think 5.5 is smaller than 5 3/7

and I think the order goes 3/8 5/6 1/2

Answer:

16 2/3 ounces per mile

Step-by-step explanation:

50 ounces of blueberries/3 miles = 16.666 repeated

16.666 repeated = 16 2/3 ounces/mile

please see both picture for answer

The amount $500 invested at 8% interest compounded annually be worth after 3 years is $ 629.86

Since we have $500 invested at 8% interest compounded annually, we need to find the worth after 3 years.

Using the compound interest formula, the amount

A = P(1 + r)ⁿ where

Given that

So, substituting the values of the variables into the equation, we have that

A = P(1 + r)ⁿ

A = $500(1 + 0.08)³

A = $500(1.08)³

A = $500 × 1.259712

A = $ 629.856

A ≅ $ 629.86

So, the amount is $ 629.86

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Preprinted sheets with a series of frames in the shape of TV screens, including commercial text and sound effects, are known as storyboard sheets.

Storyboard sheets are visual tools used in the pre-production phase of creating commercials, films, or animations. They consist of a series of rectangular frames resembling TV screens, printed on a sheet. Each frame represents a scene or shot, and within the frames, the preprinted text describes the commercial content or dialogue.

Additionally, sound effects may be included to further enhance the storytelling. These sheets serve as a blueprint for the production team, allowing them to plan and visualize the sequence of shots, camera angles, and timing of the commercial. By using storyboard sheets, filmmakers can effectively communicate their creative vision, ensure consistency in storytelling, and facilitate collaboration between different departments involved in the production process.

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It may not be suitable to use a linear regression model to make predictions or draw inferences about the connection between the variables in such circumstances since the inferences it generates can be highly wrong. therefore, statement is false.

False. If the residual plots exhibit strong nonlinear patterns, it means that

the relationship between the dependent variable and independent

variables is not adequately captured by the linear model. In such cases,

the  inferences made by a linear regression model can be quite

inaccurate, and  it may not be appropriate to use a linear regression

model to make predictions or draw conclusions about the relationship

between the  variables.

In such situations, it may be necessary to consider using a more complex  model, such as a polynomial regression or a non-linear regression model.

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To find the variance, the mean of the lengths of the rivers has to be calculated first. The variance formula is then used to calculate the variance. The variance is 1057.58. Thus, the correct option is C.

The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the  T as man Sea are given below: River Length (km)Hollyford76Cascade64Arawhata68Haast64Karangarua37Cook32Waiho32

Whataroa51Wanganui56Waitaha40Hokitika64Waimea48Motueka108Takaka72Aorere72Heaphy35

Karamea80Mokihinui56Buller177Grey121Taramakau80Arahura56The mean length of the rivers is given by `bar(x)=(76+64+68+64+37+32+32+51+56+40+64+48+108+72+72+35+80+56+177+121+80+56)/21=69.19`.The variance is calculated using the following formula: `s^2=sum_(i=1)^n (x_i-bar(x))^2/(n-1)`.

Therefore, `s^2=(76-69.19)^2+(64-69.19)^2+(68-69.19)^2+(64-69.19)^2+(37-69.19)^2+(32-69.19)^2+(32-69.19)^2+(51-69.19)^2+(56-69.19)^2+(40-69.19)^2+(64-69.19)^2+(48-69.19)^2+(108-69.19)^2+(72-69.19)^2+(72-69.19)^2+(35-69.19)^2+(80-69.19)^2+(56-69.19)^2+(177-69.19)^2+(121-69.19)^2+(80-69.19)^2+(56-69.19)^2)/(21-1)=1057.58`.

Therefore, the variance is 1057.58.

Thus, the correct option is C.

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Answer: 22

Step-by-step explanation:

f(x) is basically the y of the function and we sent x=3. go back to the function and plug in 3 in the x. then solve 3^2=9  2x9=18 18+4=22 BOOOM  MATHH

Answer:

6

Step-by-step explanation:

To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal

60x0.35=21

There are 21 perennials

Do the same for the biennials:

60x0.25=15

Therefore 15 biennials

Subtract the amount of perennials from the amount of biennials

21-15=6

There is 6 more perennials than biennials

Answer:

the answer is 6

21-15=6

Step-by-step explanation.

35% of 60 = 21 for perenalis

25% of 60 = 15 for biennials

40% of 60 = 24 for annuals

Answer:

true

Step-by-step explanation:

11a - 2a

Factor out a

a(11-2)

a *9

9a

Answer:

9a is equivalent to 11a - 2a because 11a-2a=9a

Step-by-step explanation:

Step-by-step explanation:

Use the given functions to set up and simplify

Use the given functions to set up and simplify

x

x

.

x

=

x

=

32

(

4

x

−

2

)

−

3

x

=

5

−

(

x

+

2

)

=

x

=

67

126

Answer:

x = 0.53

Step-by-step explanation:

32(4x − 2) − 3x = 5 − (x + 2)

128x - 64 - 3x = 5 - x - 2

125x - 64 = -x + 3

126x = 67

x = -0.53

Answer:

its corresponding angle

Step-by-step explanation:

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Answer:

X=8

Step-by-step explanation:

8x+11=9x+3

8x-9x=3-11

-1x/-1=-8/-1

=x=8

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