Answers
Given:
Set A represents rational numbers.
Set B represents integers.
Set C represents whole numbers.
To find:
Which of the value represents a value that could be placed in set C.
Solution:
Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].
Integer is a set of positive and negative numbers including zero.
Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}
Whole numbers are positive numbers with zero.
Whole numbers: {0, 1, 2, 3, 4, ...}
Option A: -10
-10 is a integer. So that, it is placed in set B not in set C.
Therefore, it is not true.
Option B: 2.5
2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option C: [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option D: [tex]\frac{12}{4}[/tex]
[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)
3 is a whole number.
Whole numbers placed in set C.
Therefore, it is true.
Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.
Related Questions
The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?
Answers
Answer:
Februay
Step-by-step explanation:
The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!
Answers
Answer:
Medium
Step-by-step explanation:
Cause that what it is.
when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??
Answers
Answer:
0.7 per minute
Step-by-step explanation:
0.7 in the equation represents how much the tempeture was dropping per minute.
Answer:
Step-by-step explanation:
T=42-0.7T
T=42-0.7(0)
T=42-0
T=42
What is the least common multiple (LCM) of 7 and 9?
Answers
Answer:
63
Step-by-step explanation:
7*9=63
9*7-63
Answer:
63
Step-by-step explanation:
7 and 9 multiply to 63 at the least
What type of lines are layered directly on top of each other?
Answers
Explanation:
Can someone help me do this thank you
Answers
Answer:
d = 15
Step-by-step explanation:
6+15 = 21
Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm
Answers
Answer:
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr. That for a circle of diameter d is C = πd.
If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.
Please be sure to share ALL of the instructions for each problem.
Circumference of the circle is 31.4 cm
Given that;
Value of π = 3.14
Assume;Radius of circle = 5 cm (Approx.)
Computation:Circumference of the circle = 2πr
Circumference of the circle = 2(3.14)(5)
Circumference of the circle = (10)(3.14)
Circumference of the circle = 31.4 cm
So, option "B" is the correct answer to the following question.
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Simplify:
X(3.8 - 2.6) +3+3.2 (x + 2)
Answers
Answer:
4.4x+9.4
Step-by-step explanation:
x(3.8)-x(2.6)+3+3.2(x)+3.2(2)
3.8x-2.6x+3+3.2x+6.4
Combine all of x's with the blanks
4.4x+9.4
Which sequence are geometric?
Answers
Answer:
The second one
The third one.
The last one.
Step-by-step explanation:
Hope this helps!
3/5 * (t + 26) = −3(2 − t)
t =
Answers
Answer:
t=9
Step-by-step explanation:
Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°
Answers
Answer:
-770, -410, 310, 670
Step-by-step explanation:
-50 + 360 = 310
310 + 360 = 670
-50 - 360 = -410
-410 - 360 = -770
For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.
Coterminal AnglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
You should replace w for integers numbers ≥ 1. Hence,
For w=1 and α=-50°β = -50± 360 * 1
β = -50± 360
Then, β can be -50+360=310° or -50-360= -410°
For w=2 and α=-50°β = -50± 360 * 2
β = -50± 720
Then, β can be -50+720=670° or -50-720= -770°
For w=3 and α=-50°β = -50± 360 * 3
β = -50± 1080
Then, β can be -50+1080=1030° or -50-1080= -1130°
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I NEED HELP! (Tap on picture!)
Answers
Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?
A. 1/80
B. 1/16
C. 15/16
D. 79/80
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.
Rusty has decided to order a corn dog and to choose his side and dessert randomly.
We need to find the probability that Rusty will not end up with his favorite meal.
Total number of sides = 4
Total number of desserts = 4
Total possibilities = 4 × 4 = 16
Possible ways of selecting tater wedges and a fudge sickle = 1
Probability that Rusty will end up with his favorite meal is
[tex]P=\dfrac{1}{16}[/tex]
Probability that Rusty will not end up with his favorite meal is
[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]
Hence, the correct option is C.
What is the length of Line segment B C? Round to the nearest tenth.
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.
6.8 cm
7.5 cm
14.5 cm
17.7
Answers
Answer:
14.5
Step-by-step explanation:
since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will
be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing
cost altogether? Round to the nearest hundredth. Use 3.14 for pi
Answers
Answer: $443.32
Step-by-step explanation:
Hi, to answer this question we have to calculate perimeter of a semicircle:
P = π (d/2) + d
Where d is the diameter
Replacing with the values given:
P = 3.14 (23/2) + 23 = 59.11 feet
Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.
59.11 x 7.50 = $443.32
Feel free to ask for more if needed or if you did not understand something.
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Answers
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Final answer:
To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.
Explanation:
The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.
Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.The net change to Rylee's banking account balance after all her purchases is $83.22.
Which is a right triangle formed using a diagonal through the interior of the cube?
Answers
Answer:
ΔABE is correct because it is a right triangle through a diagonal
Step-by-step explanation:
Answer: A
Step-by-step explanation:
The degree for 6g²h³k?
Answers
Answer:
the degree for this monomial is 7
Step-by-step explanation:
g^2 = 2
h^3= 3
k = 1
add the exponents- 2+3+1= 7
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=
Answers
Answer
probability of greater than 3 is 60%
not 5,6,7 or 8 is 60%
Answer:7/10
Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction
What type of object is pictured below?
Answers
Answer:
ray
Step-by-step explanation:
Answer:
C, a ray
Step-by-step explanation
What is the median of the following numbers
Answers
Answer: You did not give me any numbers...
Step-by-step explanation:
just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?
Answers
Step-by-step explanation:
Total songs = 36 + 72 = 108
[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]
Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]
Final answer:
The probability that the next song will be longer than three minutes is 2/3 or 66.67%.
Explanation:
The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.
To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).
This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.
Find the surface area of a sphere with radius of 1.5 and slant height of 6.
Answers
Answer:
about 28.27
Step-by-step explanation:
A=4πr2
Can anybody help? Exponential Functions
Answers
You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?
Answers
Answer: 13 dollars
Step-by-step explanation:
Answer:
13 dollars.
Step-by-step explanation:
Hope this helps!
Multiply 20 dollars by 0.65.
The area of a square garden is 36 square feet. What is the side length of the garden
Answers
Answer:
6
Step-by-step explanation:
because 6 times 6 =36 so the answer is 6
Answer:
6 ft
Step-by-step explanation:
We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].
If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6
What is the equation of the line through the points (-3, 4) and (5, 4)?
Answers
Answer:
The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is y=4.
What is the equation of a line?The standard form of the line is;
[tex]\rm y=mx+c[/tex]
The slope of the line is;
[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is;
[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]
Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.
Learn more about the equation of line here;
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need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2
Step-by-step explanation:
a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.
Whole numbers between 10.99 and 13.99
Answers
Whole numbers between those two would be 11, 12, and 13.
Answer:
11, 12 & 13
Step-by-step explanation:
Whole numbers between 10.99 and 13.99 are 11, 12 & 13
Does the graph of y=x2+4x−1 open upward or downward? upward downward
Answers
Answer:
Upward
Step-by-step explanation:
The first term is positive meaning it will open upward
Answer: The answer is A: Upward.
Step-by-step explanation: When the first term is positive, the graph open upward.