FLUENCY AND SKILLS PRACTICE
Lesson 21 Session 2




Solving One-Variable Addition Equations
Solve each equation for the unknown. The answers are mixed up at the bottom.
of the page. Cross out the answers as you complete the problems.
What is d plus 3.2 equals 6.3 minus 2.5 and what’s 25 plus k plus 4(1/4) equals 37

Answer:

With technology and digital communication, it's

becoming easier to communicate because people

do not have to do that initial face-to-face reaction

when they are behind a keyboard. This can be a

good or a bad thing depending on how one

chooses to communicate.

Answer:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

Step-by-step explanation:

From the given information, the two options of the "annual salary" category are:

From the given information, the two options of the "opinions" category are:

To create a two-way frequency table to visually represent the possible relationships between the two sets of categorical data:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&&&\\\cline{1-4}\end{array}[/tex]

Add the given information to the table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&\\\cline{1-4}\end{array}[/tex]

From the table, we can see that of the 423 of people that earned less than $50,000 per year, 262 thought that people's live would get better.

To calculate the number of people that earned less than $50,000 per year that thought people's lives would not get better, subtract 262 from 423 and place this number in the cell in column 2, row 3.

Continue like this to fill out the rest of the table, remembering to calculate the column and row totals:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

Answer:

$1.03

Step-by-step explanation:

If Seth purchased a shiny key chain costing $0.34 and received $0.69 in change, then he gave the cashier $0.34 + $0.69 = $1.03.

Answer:

x - 0.69 = 0.34

x = 1.03

Therefore, Seth gave the cashier $1.03.

The inequalities contain greater than, less than or equal, and greater than or equal. The inequalities are attached below.

What is a closed circle?

For numbers that are either less than or greater than (< or >), open circles are used. For numbers that are less than or equal to and greater than or equal to (≤ or ≥), closed circles are used.

A number line can be used to display inequality.

Given inequalities are

x > 3

x ≤5

x ≥-4

The inequity x > 3 contains a greater than symbol. Thus there will be an open circle at 3. x is greater than 3, so the arrow from the circle must show the numbers that are larger than 3.

The inequity x ≤5 contains a less than or equal symbol. Thus there will be a close circle at 5. x is less than or equal to 5, so the arrow from the circle must show the numbers that are less than 5.

The inequity x ≥-4  contains a greater than or equal symbol. Thus there will be a close circle at -4. x is greater than or equal to -4, so the arrow from the circle must show the numbers that are greater than -4.

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Answer:

Below

Step-by-step explanation:

17/16   is  just    17 ÷ 16    use calculator to fin = 1.0625

Answer:

1.06

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (16):

1 ÷ 16 = 0.0625

Step 2: add this value to the the integer part:

1 + 0.0625 = 1.0625. So,

1 1/16 = 1.0625

Some methods of statistical analysis include:

The word "renaissance" simply means the rebirth of a thing or something and in this case, it would seem to mean the rebirth of statistics to include better ways and methods of data gathering, collection and analysis.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean and this is one of the more "modern" ways of data gathering in statistics as these methods have come a long way from older methods of gathering data such as human statistics and census methods.

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The English translation is:

Could you give me an explanation about the Renaissance of Statistics?

Answer:

28 inches in 8 days.

Step-by-step explanation:

1. Multiply 3.5 inches by 8 days to calculate the total inches:

2. 3.5 inches x 8 days = 28 inches

Therefore, elephant grass will grow 28 inches in 8 days.

There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.

what is unitary method ?

The unit tactic is a method for addressing dilemmas that entails first figuring out the price of a single unit, then increasing that value to figure out the needed value. Simplest terms, the unit method is used to derive a single unit value out of a multiple that is supplied. For example, 40 pens may cost 400 dollars, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its l'hopital and reciprocal are equal in terms of mathematics, algebra, abstract algebra, mathematical analysis, or mathematics of vectors or operators.

given

total number of stops = 9

total number of large boxes = 49

A total of 59 tiny boxes

every stop has the same number of boxes:

There are the same number of boxes at each station

for large boxes (49/9) = 5

small boxes (59/9) = 6

There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.

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Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.52%

The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values ​​and the number of observations involved in this sum.

Given An investment portfolio

Since arithmetic average ROR:

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:

ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average:

ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)

weighted average:

ROR=5.68%

difference=6.20%-5.68%

difference=0.52%

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Answer: it’s 1.1%

Step-by-step explanation: just got it right on the test

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵

In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.

Formula for nth term of G.P.,

Tₙ = a×rⁿ

where a is first term and r is common ratio

Given that,

Amber sends a text message to 4 people

Those 4 people send the text message to 4 more people, and so on

An expression to show the number of people who will receive the text message after the fifth round = ?

This process will follow a geometric progression,

Which have common ratio  = 4

First term a = 4

Fifth term =  ?

Here, n = 5

Tₙ = a × rⁿ

   =  4 x 4⁵

   =   4096

Hence, the expression is 4 x 4⁵

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Answer: P(brown), is 25% he experimental probability is 32.5%.

Step-by-step explanation:

The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

Answer:

Jake will finish in 990 days

Answer: MNO is  an isosceles triangle

Step-by-step explanation:

the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.

not sure how to solve the second question so maybe repost it, hope i helped :D

The variable a as the subject is a = (P -W)/(W + P)

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

P=W (1+a)/(1-a)

Cross multiply the equation

So, we have the following representation

P - Pa = W + Wa

Collect the like terms

This gives

Wa + Pa = P - W

So, we have

a(W + P) = P - W

Divide

a = (P -W)/(W + P)

Hence, the solution is a = (P -W)/(W + P)

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Answer:oh ez it is D=11 Dx=26 x=16 and y = 35

Step-by-step explanation:

I know the answers because I had the same problems lol

Answer:

Pink bananas? Weird, but cool.

Anyways, the answer would be 2/3.

This is correct because:

1/3 + 2/3 = 3/3 = 1 whole

Step-by-step explanation:

Hope it helps! =D

The statement that is correct for the congruent triangles shown above are ABC=CDA. That is option C.

The congruent triangles are those two triangles that have all it's edges and angles equal in size.

There are two different types of triangle which include the following:

The sides and angles that are equal include the following;

< A = < C

< D = < B

Therefore the statement that shows that the two given triangles are equal = ABC=CDA.

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The inverse of the function is g(x) = √[(x + 3)/4]

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

f(x) = 4x^2 - 3

Rewrite the function as

y = 4x^2 - 3

Swap the variables

x = 4y^2 - 3

Make y the subject

So, we have the following representation

y = √[(x + 3)/4]

Rewrite as

g(x) = √[(x + 3)/4]

Hence, the inverse is g(x) = √[(x + 3)/4]

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Answer: x=-3 & x=3/2

Step-by-step explanation:

1. Simplify the expression

- Divide both sides by the same factor

9=2x^2+3x

2x^2 + 3x - 9 = 0

2. Use the quadratic formula

- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2x^2 + 3x - 9 = 0

a = 2

b = 3

c = -9

x = √-3±3^2−4⋅2(−9)/2⋅2

3. Simplify, again.

- Evaluate the exponent

- Multiply the numbers

- Add the numbers

- Evaluate the square root

x=−3±9/4

4. Separate the equations

- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=−3+9/4

x=-3-9/4

5. Solve

- Rearrange and isolate the variable to find each solution.

x=3/2

x=-3

If your original biconditional statement is true, would the contrapositive be true

What is Biconditional statement ?

Biconditional statement can be defined as if in both cases they are equal than they are true otherwise false.

Yes,

If your original biconditional statement is true, would the contrapositive be true

Let us suppose,

P ⇔ Q

Suppose P = true and Q = true

So, P ⇔ Q  is true

and ~P = false and ~Q  = false

¬Q ⇔ ¬P is also true
Therefore, If your original biconditional statement is true, would the contrapositive be true

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Answer: she lost 500 ,gained 900 ,lost 700, gained 600

Step-by-step explanation:

Answer:

The slope-intercept form is y= 4/3 x + 2

Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

well, in 2005 there were 55000 folks, and then 3 years later it was 61600, since we know the increment is linear, then we can just call year 2005 year 0 and use a table for that

[tex]\begin{array}{ccll} \stackrel{x}{year}&\stackrel{y}{population}\\ \cline{1-2} 0&55000\\ 3&61600 \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{55000})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{61600}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{61600}-\stackrel{y1}{55000}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ 6600 }{ 3 } \implies 2200[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{55000}=\stackrel{m}{ 2200}(x-\stackrel{x_1}{0}) \\\\\\ y-55000=2200x\implies {\Large \begin{array}{llll} y=2200x+55000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{in 2010 from 2005 that's 5 years later, x = 5}}{y = 2200(5)+55000}\implies {\Large \begin{array}{llll} y=66000 \end{array}}[/tex]

The likelihood of randomly selecting a chocolate chip cookie from the batch is unlikely

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

P(chocolate chip) = 0.25

Probability values less than 0.5 are unlikely

0.25 is less than 0.5

This means that the likelihood is unlikely

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Answer:

x ≤ 217

Step-by-step explanation:

The mean is found by adding each time and dividing by the amount of attempts.

If the mean has to be no greater than 200s and there are five attempts, than the total five attempts should total to no more than 200*5=1000s

The total sum of the first four attempts is 192+206+194+191=783

x must be equal to or less than 1000 - 783 = 217

The result of 2/3 divided by 1/12 is equal to 8.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

To find the result of 2/3 divided by 1/12, we can use the following equation:

= 2/3 ÷ 1/12 = (2/3) × (12/1)
= 8

Since the multiplication of two numbers is equivalent to the division of their reciprocals, we can use the number line to represent the division as multiplication:

2/3 is located between 1/2 and 1 on the number line, and 1/12 is located between 0 and 1/10. Multiplying 2/3 by 12/1 is the same as moving 12 units to the right on the number line, which is equivalent to moving from 2/3 to 8.

So, the result of 2/3 divided by 1/12 is equal to 8.

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Answer:

2.95

Step-by-step explanation:

23 - 7 = 16

16 - 5.5 (1/2 = .50)= 10.5

10.5 - 2.30 (23 becomes 2.30 in 10%) = 8.20

8.20 - 5.25 = 2.95

2.95 miles ran on Friday

In the above angle measurement problem,

35) If m∠7=100°, then m∠3 = 100° (Alternative Angles)

36) If m∠7=175°, then m∠6= 5° (Co-interior Angles)

37) If m∠7 = 120°, then m∠5 = 120° (Corresponding Angles)

38) If m∠4=20°, then m∠7 = 160° (Angles on a straight line and Corresponding Angles)

39) If m∠3=140°, then m∠8 = 40° (m∠3 = m∠1 Corresponding angles; ∠1+ ∠8 = 180° - Angles on a straight line)

40) If m∠4= 30°, then m∠1 = 150° (Corresponding Angles)

41) If m∠4 = 40°, then m∠2 = 40° (Corresponding Angles)

42) Ifm∠7=125°, then m∠4= 55°  (∠4=∠2; Corresponding angles: 180° - ∠7 = 55° - Angles on a Straight Line)

When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal.

Congruence and likeness tests in geometry require comparing matching sides and angles of polygons.  Each side and angle in one polygon is matched with a side or angle in the second polygon, with the order of adjacency preserved.

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