4 puzzle time how can you share five apples with seven friends answers

Answers

Answer 1

Part 1:

Identify the algebraic properties of equality that are represented.
1.

Given

If [tex]a=b[/tex], then [tex]a\cdot c=b\cdot c, c\neq0[/tex]

The algebraic property of equality that is represented by the above expression is the multiplication property.

2.

Given

If [tex]a=b[/tex], then [tex]a- c=b- c,[/tex]

The algebraic property of equality that is represented by the above expression is the subtraction property.

3.

Given

If a = b, then a can be substituted for b (or b for a) in any equation or expression.
The algebraic property of equality that is represented by the above expression is the substitution property.

4.

Given

If [tex]a=b[/tex], then [tex] \frac{a}{c} = \frac{b}{c},\ c\neq0[/tex].

The algebraic property of equality that is represented by the above expression is the division property.

5.

Given

If [tex]a=b[/tex], then [tex]a+ c=b+ c,[/tex]

The algebraic property of equality that is represented by the above expression is the addition property.

6.

Given

sum: [tex]a(b+c)=ab+ac[/tex],
difference: [tex]a(b-c)=ab-ac[/tex]

The algebraic property of equality that is represented by the above expression is the distributive property.

7.

Given

If a = b and b = c, then a = c. If AB = CD and CD = EF, then AB = EF. If m<A = m<B and m<B = m<C, then m<A = m<C.

The algebraic property of equality that are represented by the above expression is the transitive property.

8.

Given

If a = b, then b = a. If AB = CD, then CD = AB. If m<A = m<B, then m<B = m<A.
The algebraic property of equality that are represented by the above expression is the symmetric property.

9.

Given

a = a, AB = AB, m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.

10.

Given

If x = y, then 6x = 6y.
The algebraic property of equality that are represented by the above expression is the multiplication property.

11.

Given

If AB = BC, then AB - 2 = BC - 2.
The algebraic property of equality that are represented by the above expression is the subtraction property.

12.

Given

m<A = m<A

The algebraic property of equality that are represented by the above expression is the refrexive property.

13.

Given

If AB = CD and CD = 6, then AB = 6
The algebraic property of equality that are represented by the above expression is the transitive property.

14.

Given

If a = b, then b = a.
The algebraic property of equality that are represented by the above expression is the symmetric property.

Related Questions

If y = 44 when x = –264, what is y when x = –486

Answers

Final answer:

The value of 'y' when x equals -486 using the same ratio (1:6) as given in the original input is -81.

Explanation:

To solve this problem, we're given a ratio of y to x (1:6) when x is -264 and y is 44. This ratio implies that y is one-sixth of x. Utilizing this information, we can determine y for a different x value (-486). By maintaining the 1:6 ratio, we divide -486 by 6, resulting in -81. Therefore, when x is -486, y equals -81. This solution stems from understanding the proportional relationship between y and x, allowing us to calculate y for any given x value based on the established ratio. In this case, the ratio of 1:6 guides the computation, ensuring the accurate determination of y as -81 when x is -486.

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One out of two people entering the grocery store purchase soda. how many people out of 20 purchase soda?

Answers

Answer: "10" .
______________________
1/2 = x/20

(1*10) = (2*10) = 10/20 .

Note: 2*10 = 20.

1/2 = 10/20 .

10/20 = ? ; Cancel out the zeros to get: "1/2" ; "10/20 = 1/2" .

The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?

A. 288
B. 24
C. 3,072
D. 64

Answers

the answer would be a. 288. hope that helped

2 is the biggest number, so to find the LCD check to see if it is divisible by 3, no, 4, yes, 9, no. Next number: 32x2=64. None of the numbers were divisible. Eventually, you'll find that the LCD is 288

Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4

Answers

a vertical line is represented by x = a number
so ur vertical line is : x = 4 <==

** and just so u know, a horizontal line is represented by y = a number.

[tex]x=4[/tex] is the answer
hope this has helped you

Based on research by barsh and colleagues (2000), _____ genes appear to be related to body weight regulation.

Answers

The answer is more than 40 genes. According to their research, these genes are transcripted into the DNA during the translation.One of these genes is called CYP19. Having more than one strand of this gene can possibly be the reason why people are slightly larger than the others.

If a line is perpendicular to a line segment, what angle do they form at their intersection

Answers

If a line is perpendicular to a line segment, then they will form a right angle.

90 degree will be the answer cause its a right angle.

What is 39ft/min to yd/s?
Please explain using dimensional analysis.

Answers

Dimensional analysis simply means to arrange the units in the problem in a such a way that they cancel each other out and you're left with the units you need in the answer. We do this by using conversion ratios arranged like fractions, then multiplying across left to right.

In your problem, we're given ft/min and need to convert to yd/s. Start with feet and convert to yards for the numerator, then convert minutes to seconds for the denominator: (pretend the parentheses encompass the entire fractions - limitations of the answer box)
39 feet x ( 1 yard ) x (1 min)
1 min 3 feet 60 sec

Notice that feet cancel, and minutes cancel. We're left with yards in the numerator and seconds in the denominator.
Multiplying the numbers, we get 39/180, which simplifies to 0.217.
The final answer is ~0.22 yd/sec.

If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes

Answers

3^3 / 5^3 = 27 / 125

Answer:

The answer is 27:125

Cho welcome

The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Determine each of the following, showing all your work and reasoning.

Scale factor of the smaller pyramid to the larger pyramid in simplest form

Ratio of the areas of the bases of the smaller pyramid to the larger pyramid

Ratio of the volume of the smaller pyramid to the larger

Volume of the smaller pyramid

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ [/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base} \\\\\\ \cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume} \implies \cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v[/tex]

PLEASE ANSWER FAST!
Which statement best describes why the sale price is a function of the original price?
A:As the original price increases, the sale price also increases.
B:The sale price is always less than the original price.
C:For every original price, there is exactly one sale price.
D:The sales price is never less than zero.

Answers

Answer:

I think B,not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Got it right

If f(x) = + 8, what is f(x) when x = 10?

Answers

f(x) = (x/2) + 8
f(10) = (10/2) + 8 ... replace every x with 10; now use PEMDAS
f(10) = 5 + 8
f(10) = 13

We plugged in x = 10 as the input to get the output of f(x) = 13

Answer: 13

Answer:

Step-by-step explanation:

it correct

Please can you help me

Answers

Answer:

5 : 1

Step-by-step explanation:

From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:

15 : 3 = (15/3) : (3/3) = 5 : 1

Given the literal equation for the area formula of a trapezoid: A =12h(b1 + b2) solve for b1. Must show your work to receive full credit.

Answers

[tex]$ b_1 = \frac{A}{12h} - b_2 $[/tex] is the formula to solve for [tex]$ b_1 $[/tex] in the trapezoid area equation.

To solve for [tex]$ b_1 $ in the equation $ A = 12h(b_1 + b_2) $, where $ A $[/tex] is the area of the trapezoid, [tex]$ h $ is the height, $ b_1 $[/tex]is one of the bases, and [tex]$ b_2 $[/tex] is the other base, you can follow these steps:

1. Divide both sides of the equation by [tex]$ 12h $ to isolate $ (b_1 + b_2) $:[/tex]

[tex]\[ \frac{A}{12h} = b_1 + b_2 \][/tex]

2. Subtract [tex]$ b_2 $[/tex] from both sides of the equation:

[tex]\[ \frac{A}{12h} - b_2 = b_1 \][/tex]

So, the equation for [tex]$ b_1 $ in terms of $ A $, $ h $, and $ b_2 $[/tex] is:

[tex]\[ b_1 = \frac{A}{12h} - b_2 \][/tex]

1. what are some different types of numbers that you have herd of before?

2. why do you think it is important to classify (sort) different types of numbers

Answers

natural, whole

you need the different classifications that way it is easier to tell someone what you are talking about.

1. Some types of numbers I've heard about are: whole numbers, fractions, negative numbers, infinite numbers, irrational numbers, rational numbers, improper fractions, imaginative numbers, radical numbers, unknown numbers, etc.

2. I think it important to group or separate numbers out in order to apply them to the categories they apply to.

Name the property the equation illustrated
8 + 3.4 = 3.4 +8

Answers

8 + 3.4 = 3.4 +8
commutative property of addition

I'm sure it would only just be 0 so either 0 or no solution

I really need help on this problem can i get help on how to solve the problem please

Answers

you cannot assume that the angles are equal. there is no angle measure and nothing to say the lines are parellel.

At city high school,the sophomore class has 60 more students than the freshman class.the junior class has 50 fewer students than twice the students in the freshman class.the senior class is three times as large as the freshman class.if there are a total of 1,424 students at the city high school,how many students are in the freshman class?

Answers

S=f+60
J=Fx2-50
Senior=fx3

(f)+(f+60)+(fx2-50)+(fx3)=1424 (Parenthesis first)
f+f+60+2f-50+3f=1424 (rewrite)
2f+60+2f-50+3f=1424 (combine like variables)
7f+10=1424 (rewrite)
7f=1414 (isolate variable (take away 10 from each side))
1414/7
202=freshman

Answer:

The number of students in the freshman class are:

202

Step-by-step explanation:

Let the number of students in Freshman class = x

The sophomore class has 60 more students than the freshman class.

This means that the number of students in sophomore class = x+60

The junior class has 50 fewer students than twice the students in the freshman class.

This means that the number of students in junior class= 2x-50

The senior class is three times as large as the freshman class.

This means that the number of students in senior class are: 3x

There are a total of 1,424 students at the city high school.

This means that:

[tex]x+x+60+2x-50+3x=1424\\\\x+x+2x+3x+60-50=1424\\\\7x+10=1424\\\\7x=1424-10\\\\7x=1414\\\\x=\dfrac{1414}{7}\\\\x=202[/tex]

Algebra Vocabulary Crossword help ?!

1. a relation described in word format? (17 letter)

9. a way to name a function identifying its input?
(16 letter)

Answers

1. a relation described in word format (17 letter) is "is direct variation"

9. a way to name a function identifying its input (16 letter) is "f of x equals x square"

Final answer:

The student is looking for the terms 'Verbal Description' and 'Function Notation' for their Algebra Vocabulary Crossword. These refer to a relation described in word format and a way to name a function identifying its input respectively.

Explanation:

Based on the number of letters you've indicated, it looks like you're looking for two vocabulary items in the field of Algebra.

First, a relation described in a word format is typically called a Verbal Description, which has 17 letters.

Second, a way to name a function identifying its input is called Function Notation, which has 16 letters.

In Algebra, Verbal Description is when you describe a mathematical relationship using words. For example, 'the sum of a number and three is seven.' This could be translated to the equation x+3=7.

Function Notation, on the other hand, is a way to name a function that is dependent on one or more inputs. For example, f(x) = x^2 is function notation, since the output 'f(x)' is dependent on the input 'x'.

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WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number

Answers

There really doesn't need to be a separate explanation for each number because 1 explanation would explain everyone of them.

All of these numbers are rational because a rational number is, or can be, turned into a fraction.

-2 = -2/1
3 = 3/1
819 = 819/1
1,476 = 1,476/1
-6.01 = -6 1/100 = -601/100

Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for the party, what is the least number of packages of each you need to buy?

Answers

i think the answer would be
20, the LCM
(least common multiple) :)

1 package of plates = 10 plates and 2 package of cups = 10 cups

so 3 packages is least amount

(−2+2i)⋅(5+5i)
Can you help me simplify

Answers

(−2+2i)⋅(5+5i)
FOIL
-10-10i+10i+10i²=-10+10i² this is the simplify answer
If you want the complete answer is
-10+10(-1)=-10-10=-20

Need help ASAP real quick ????????????

Answers

The answer is 54. (36+72=108. 108/2 = 54)

Help me solve this please...in detail.

Answers

n+6 = 2*7
n+6 = 14
n= 14-6
n=8

300 yards / 1 minute find unit rate feet per wonds

Answers

132 ft / sec. I believe this is the answer.

The commission of selling each iPhone is $30 and the commission of selling each iPad is $20. If you one day sold 4 more iPhones than iPads and earned a total commission of $520, how many iPhones and iPads did you sell respectively?

Answers

lets assume number of iphones sold = a number of ipads sold = b i sold 4 iphones more than ipad that becomes a = b+4 then the equation of total commission becomes 30a+20b = 520 substituting a =b+4 in the above equation 30(b+4)+20b = 520 30b+120+20b = 520 50b =520-120 50b = 400 b = 400/50 b=8 number of iphones i sold = a = b+4 = 8+4 = 12 number of ipads i sold = 8 so i sold 12 iphones and 8 ipads to earn the commission of $520

By solving the system of equations which includes the total commission and difference in quantity of iPhones and iPads sold, we determine that the salesperson sold 8 iPads and 12 iPhones.

The student is tasked with solving a system of linear equations to determine how many iPhones and iPads were sold based on the commission earned. Let's define the number of iPads sold as x and the number of iPhones as x + 4.

The total commission for iPhones is $30 per iPhone and the total commission for iPads is $20 per iPad. The total commission earned from selling these products is $520.

We can set up two equations based on the given information:

Commission from iPhones: 30(x + 4)

Commission from iPads: 20x

Total Commission: 30(x + 4) + 20x = 520

By solving the equation 30(x + 4) + 20x = 520, we find:

30x + 120 + 20x = 520

50x + 120 = 520

50x = 400

x = 8

So, the number of iPads sold is 8. Since the number of iPhones sold is 4 more than iPads, we have:

Number of iPhones sold = x + 4 = 8 + 4

Number of iPhones sold = 12

Therefore, the salesperson sold 8 iPads and 12 iPhones respectively.

i'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging

Answers

Expected throughput is
1000 units/h

Therefore the expected time for 4800 units is
(4800 units)/(1000 units/h) = 4.8 hours = 288 minutes

Because the worker is 48 minutes behind schedule, the actual time is
288 + 48 = 336 minutes = 5.6 hours

The actual average throughput is
(4800 units)/(5. h) = 857 units per hour.

Answer: 857 units per hour.

Is it possible for a composite number to have more than one prime factorization?

Answers

no The prime factorization of a composite number is the process of finding all the prime numbers that when multiplied together result in the composite number. Just rearranging the order of the prime numbers doesn't change the factorization. The Commutative Property of multiplication allows us to multiply the prime factors together in any order at all.

Is it true that |3-8| and |3+8|

Answers

No, it is not true. If you solve them, the first one is 5, while the second one is 11.

To determine if |3-8| is equal to |3+8|, we calculate the absolute values: |3-8|=5 and |3+8|=11. Since 5 is not equal to 11, the statement is false.

To solve the given problem, we need to understand the properties of absolute values. Absolute value measures the distance of a number from zero on the number line, regardless of direction.

First, calculate the absolute value of each expression: |3-8| and |3+8|.For |3-8|:

3 - 8 = -5, and the absolute value of -5 is 5. Therefore, |3-8| = 5.

For |3+8|:

3 + 8 = 11, and the absolute value of 11 is 11. Therefore, |3+8| = 11.

In conclusion, it is not true that |3-8| equals |3+8|, as |3-8| = 5 and |3+8| = 11.

here is the full question-Is it true that |3-8| and |3+8| are equal?

Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x represents the profit Tali has earned from cleaning pools.

Which expression represents the total amount Tali earns from pool cleaning?

24x

24

−243

x

Answers

Answer:

24x

Step-by-step explanation:

The variable x is used to represent the independent variable in a situation. In this situation, the independent variable would be the number of pools cleaned; this means that x represents the number of pools cleaned.

24x would then indicate that Tali charges $24 per pool cleaned; this makes 24x her total earnings from cleaning pools.

Answer:

A. [tex]24x[/tex]

Step-by-step explanation:

We have been given an expression [tex]-243+24x[/tex], which represents he profit Tali has earned from cleaning pools. We are also told that Tali purchased cleaning supplies and charged the same amount for each pool cleaned.

Upon looking at our expression we can see that [tex]-243[/tex] is constant term and it is negative, so it will represent the amount spent by Tali on supplies.

The term [tex]24x[/tex] contains independent variable [tex]x[/tex], which represents the number of pools cleaned and 24 represents Tali's earning from each pool.

Since Tali cleaned [tex]x[/tex] pools, so total amount of Tali's earning from cleaning [tex]x[/tex] pools will be [tex]24x[/tex] and option A is the correct choice.

You went shopping and found a pair of shoes that were $45.00 on sale for $27.50. what was the percent of decrease of the shoes? your answer should go 1 decimal place)

Answers

percent decrease = (original number - new number) / original number....* 100
= (45 - 27.5) / 45.....* 100
= 17.5 / 45....* 100
= 0.3888 * 100
= 38.9 % decrease <== thats rounded

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Hom corporation acquired a computer on january 1, 2011, for $10,000,000. the computer had an estimated useful life of six years and $1,000,000 estimated salvage value. the firm uses the straight-line depreciation method. on january 1, 2013, thom corporation discovers that new technologies make it likely that the computer will last only four years in total and that the estimated salvage value will be only $600,000.what is the amount of depreciation expense for 2013 for this change in depreciable life and salvage value assuming that the change does not represent an impairment loss HELP PLEASE SOS :))PLease PLease help with the questions below 25 POINTS PLEASE HELP SOMEONE WHO CAN Solve the system by substitution-x-y-z=-8-4x+4y+5z=72x+2z=4 3/4x+5/6=5x-125/3 solve for x Which of the following is a central teaching of Christianity?God helps the poor, so man does not need to. Forgiving others is not important. Martyrs are the only true believers.Jesus brings spiritual salvation to believers. Read the questions in the table below then track a description of the situation at a table to represent each equation indicate whether each of the relationship is proportional or nonproportional what is a characteristic of cancer cells What was true about the national government under the articles of confederation? select one:a. the government had a strong president as a national leader.b. congress did not have the power to tax the states.c. southern states were not allowed to send delegates to congress.d. the government had a strong system of justice? Around 1300 bce, what actions did the shang take to prevent their rivals from challenging their legitimacy On average, women receive only ____ milligrams of iron per day. science forum Why have historians disagreed about the reason why our Founding Fathers wrote the Constitution? Explain how multiplying with 6 is like multiplying with 3 Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? An associate tells you that you do not listen well to him or the other associates. what would you do to best improve your listening skills when speaking with an associate? How many carbons are in the planar double-bond system of 3-methylcyclopentene? Robert hitchcock is 40 years old today and he wishes to accumulate $500,000 by his 65th birthday so he can retire to his summer place on lake hopatcong. he wishes to accumulate this amount by making equal deposits on his 40th through his 64th birthdays. what annual deposit must robert make if the fund will earn 12% interest compounded annually? The heat of combustion of butane , c4h10 , is 2874 kj/mol. what is the heat of combustion of butane, in kj per gram?(provide the right sig. fig) A line goes through the points (8,9) and (-2,4) . (a)What is the slope of the line? Show your work(b)Write the equation of the line in point-slope form. Show your work(c)Write the equation of the line in slope-intercept form.show steps What sides fought in the French and Indian War? Who won? find the value of x 7x (x+20) Steam Workshop Downloader