Assignment: Show Me the Sets Investigation

Karen got a bit confused in math class today when Mrs. Hudson was talking about the different subsets for classifying real numbers.


Create a visual representation of the relationships between subsets of the real number system and explain the relationships in words. Provide a real number that matches each description.
Draw a diagram to represent the relationships between subsets of the real number system. Include a sample number in each subset.






Explain the relationships in words. Use the sample numbers in your diagram and describe the classification. For example, 1/2 is a rational number, but it is not a whole number, natural number, or an integer.

Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]

~

1/7

This is because 84 is divisible by 12 and  that would leave 7 in the denominator with 1 on top

To convert pounds to ounces, you can use the conversion factor of 1 pound = 16 ounces. Therefore, 8.5 pounds of apples equates to 136 ounces. The correct answer is D: 136.

The subject of this question is mathematics. Specifically, it revolves around the concept of units conversion. To convert from pounds to ounces, we use the conversion factor that 1 pound is equivalent to 16 ounces.

Given in the question, the customer bought 8.5 pounds of apples. To find out how many ounces this translates to, we need to multiply 8.5 by 16.

The calculation is as follows:

8.5 pounds * 16 ounces/pound = 136 ounces  

So, the customer bought 136 ounces of apples. Therefore, the correct answer is D: 136.

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Answer:

The guy above is completely correct.

Just in case if no one believes him.

Step-by-step explanation:

Please give him brainliest.

In order to answer this question, you must convert each number into 3 different fractions. This can be done by  multiplyhing the number by the denominator (The denominator is the bottem part of the fraction) as you go up, for example, for 2 , you can make it into a 4/2, due to the denominator being 2, you multiply it by 2, and there you go, you made a fraction that equals the number. You can do this with the rest of these, although for number 11, its pretty much the same thing, just by dividing the new denominator with the old one then multiplying that new number by the numerator to get your fraction.

The question asks how many hours each person worked, and how much they earned, or basically they're asking for the right two columns to be filled in. (Total hours = how many hours each person worked, and Total pay = how much they earned)

If we look at the table, we can see we're given information for each person, Sue, Bob, and Chris. We're given their rate per hour, and the numbers of hour they worked for each day.

The two things we are looking to calculate can correspond with a part of information we're given:

Find the total hours worked for each person:

We have now calculated the total hours for each person. You can therefore fill in the column of total hours, starting from the top, with 37.25 hours, then 32 hours, and finally 30.25 hours.

As I stated earlier, the only thing needed to do to find the total pay is to multiply the total hours my the rate per hour.

Answer:

the answer is x = 9.6

Step-by-step explanation:

Answer:

the answer is

C - X=9.6

Step-by-step explanation:

Hello!

The volume of the handball is 57.91 [tex]cm^{3}[/tex]

Use the formula to calculate the volume.

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]2.4^{3}[/tex]

V = 57.91  (Rounded to the nearest hundredths)

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20     (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16     (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

The skunk sprayed 21 people.

He sprayed 21 people.

Explanation: 30/100=0.3 ((1% of 30 is 0.3))

0.3x70(%)= 21

In the expression 300 + 200/x for Alysa's party, the variable 'x' stands for the number of attendees to ensure the party cost stays within the $5.00 per person limit.

In the expression 300 + 200/x, the variable x represents the number of people attending Alysa's sweet sixteen birthday party.

Alysa's mom has set a maximum cost of $5.00 per person, and the total cost for renting the hall is $300, which is a fixed cost. To ensure the party cost does not exceed $5.00 per person, the cost per person is calculated by dividing the additional $200 by the number of attendees (x).

Step-by-step explanation:

This is what I could do please

Answer:

m∠EFB = 157°

Step-by-step explanation:

We are given that m∠CFE = 90°

m∠AFB = 23° so;

m∠BFC = 90° - 23° = 67°

m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°

Answer:

D. 157°

Step-by-step explanation:

Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°  

32 tens is the same as 320.

hope that helps :)

The answer is 4.269 cause if You do it the long divison way you will see how

Distance = √((x2-x1)^2 + (y2-y1)^2)

Distance = √((-1 - 6)^2 + (14 - -16)^2)

Distance = √( -7^2 + 30^2)

Distance = √(49 + 900)

Distance = √949

Distance = 30.8

The equation is 3x+2y= -22

Answer:

It's -3x+2 y=-22

Step-by-step explanation:

I just did on e2020

A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes

To find  the largest number of costumes we take GCF

GCF gives the largest and greatest number of grouping

WE find GCF of 36 and 18

1, 2, 3, 6, 9, 18  are the factors of 18

 1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of 36

Greatest common factor GCF is 18

So , 18  is the largest number of costumes she can make.

Answer:

B. f(x) = (x + 3)2 − 6

Step-by-step explanation:

Answer:

[tex]f(x)=(x+3)^2-6[/tex]

Step-by-step explanation:

We have been given a function [tex]f(x)=x^2+6x+3[/tex]. We are asked to find the function equivalent to our given function in vertex form.

To convert our given function in vertex form, we need to complete the square for our given function as:

Add and subtract [tex](\frac{b}{2})^2[/tex] from equation:

[tex](\frac{b}{2})^2=(\frac{6}{2})^=3^2=9[/tex]

[tex]f(x)=(x^2+6x+9)+3-9[/tex]

[tex]f(x)=(x^2+2\cdot 3x+3^2)-6[/tex]

[tex]f(x)=(x+3)^2-6[/tex]

Therefore, the [tex]f(x)=(x+3)^2-6[/tex] is equivalent to our given function in vertex form.

43+39=82

hope this helps!

Answer:

43 + 39 = 82

Step-by-step explanation:

amount of mens shoes plus amount of womens shoes

Answer : 2.0 mph

Haji rows his canoe 10 mph in still water

Speed of still water = 10 mph

Let the speed of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

[tex]Time = \frac{Distance}{speed}[/tex]

Time taken on upstream =  [tex]\frac{4}{10-x}[/tex]

Time taken on downstream =  [tex]\frac{6}{10+x}[/tex]

Same time taken for both upstream and downstream

So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]

Cross multiply it

4(10+x) = 6(10-x)

40 + 4x = 60 -6x

Add 6x  and subtract 40 on both sides

10x = 20 (divide by 10)

x= 2

So speed of the current = 2.0 mph

The approximate speed of the current that day is 2.0 mph.\

The correct option is A.

Given

The speeds of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

Speed is defined as the fraction of the total distance and time taken to complete it.

The following formula is used to calculate speed;

[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]

Therefore,

The approximate speed of the current that day is;

[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]

Hence, the approximate speed of the current that day is 2.0 mph.

To know more about Speed click the link given below.

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The average low temperature for January was 40 °F - 100%.

The average low in February was x °F - 27% lower, that is 100%-27%=73%.

Write a proportion:

[tex]\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2[/tex]

Answer: the average low in February was 29.2 °F.

Brenda is able to complete 2/3 of a friendship bracelet in one hour, based on the rate given in the question.

This question deals with rate and time, key concepts in Mathematics. Brenda can finish 1/3 of a bracelet in 1/2 hour, which means she completes 2/3 of a bracelet in one hour. Let me explain why.

We start with the given rate: 1/3 bracelets per 1/2 hour. To find out how many bracelets Brenda can complete in 1 hour, we simply multiply this rate by 2 (as 1 hour is equivalent to two 1/2 hours). Therefore, Brenda can complete (1/3 bracelet/1/2 hour) x 2 = 2/3 of a bracelet in one hour.

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its D or the 4th answer

Answer:

ne solution was found :

                  r = -2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

               8*(x+6)-10+r-(3*(x+12)+5*x)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((8•(x+6))-10)+r)-(3•(x+12)+5x)  = 0  

Step  2  :

Equation at the end of step  2  :

 ((8 • (x + 6) -  10) +  r) -  (8x + 36)  = 0  

Step  3  :

Equation at the end of step  3  :

 r + 2  = 0  

Step  4  :

Solving a Single Variable Equation :

4.1      Solve  :    r+2 = 0  

Subtract  2  from both sides of the equation :  

                     r = -2  

One solution was found :

                  r = -2

Step-by-step explanation:

The number that belongs in the green box is 2.

Based on the information provided, which relates to probability and the use of a calculator, we can assume the question pertains to Mathematics, likely within a Middle School curriculum where basic probability and calculator skills are taught.

When dealing with shuffled cards or marbles in a bag, one typically calculates probabilities or expected outcomes

There are a total of eight cards: five green cards and three yellow cards.

Since the cards are well shuffled, the probability of drawing a green card is 5/8.

The probability of drawing a yellow card, in this case, would be 3/8.

Since the green cards are marked with the numbers 1, 2, 3, and 4, the number that belongs in the green box would be 2.

Final answer:

To find the number in the green box, calculate the ratio of green cards to total cards.

Explanation:

The number that belongs in the green box can be found by calculating the ratio of green cards to total cards. In this case, there are 5 green cards out of 8 total cards. To find the number that belongs in the green box, we can use the formula:

Number in green box = green cards / total cards

Number in green box = 5 / 8

Using a calculator or simplifying the fraction, we find that the number in the green box is 5/8 or approximately 0.625.

The correct answer is 4737768399700 Hope this helps!

it equals 7.7377684

the answer is 21 years old

K.27. This is because if you were to factor a^2-b^2, you get (a+b)(a-b)=648. If you substitute a-b for 24, it would lead the equation to be 24(a+b)=648. Divide 24 from both sides to get the answer.

To find the value of (a+b), substitute a-b into the equation [tex]a^{2} - b^{2} = 648[/tex] and solve for (a+b). The value of (a+b) is 27, i.e., option K.

To find the value of a+b, we can use the formula for the difference of squares: [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]. Given that a-b = 24, we can substitute this value into the equation. So, we have:
648 = (a+b)(24)
Now, divide both sides of the equation by 24 to isolate (a+b):
(a+b) = 648/24 = 27. Therefore, the value of (a+b) is 27.

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