Question 3 of 5
In which pair do both decimals represent rational numbers?
O A. 0.752 and 0.232323...
OB. 8.3182706837521... and 0.752
O C. 4.32891789376287184... and 0.2323
O D. 8.3182706837521... and 0.232323...
Answers
Answer:
A. 0.752 and 0.232323...
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio. That is, it can be written as a quotient of two integers. A rational number can have a terminating decimal. E.g. 0.5, which can be expressed as ½ or 1:2. This is a terminating decimal. Also, a rational number could be a number that has repeating decimal that keeps repeating forever. E.g. 0.333... which can be expressed as ⅓, or 1:3.
An irrational number is just the opposite of a rational number. Thus, am irrational number cannot be expressed as ratio, and also has a decimal that goes on forever without repeating. For example, π = 22/7 = 3.14159... it has no definite ratio.
From these explanation we can easily pick out which pair that has both decimals representing rational numbers.
Thus, the answer is A. 0.752 and 0.232323...
0.752 is a terminating decimal, therefore it is a rational number.
0.232323... is a non-terminating decimal, however, its decimal is a repeating decimal. Therefore, it is a rational number.
Answer:
The answer is A 0.725 and 0.232323...
Step-by-step explanation:
Related Questions
Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?
Answers
Answer: 10 tulips, 10 lilies and 23 roses.
Step-by-step explanation:
Let's define the variables:
T = number of tulips that Jennifer bought
L = number of lilies that Jennifer bought
R = number of roses that Jennifer bought
Each tulip costs $0.18
Each lily costs $0.27
Each rose costs $0.55
We know that:
"She bought the same number of tulips as lilies."
T = L
" She bought three more roses than tulips and lilies combined."
R = T + L + 3
"she paid $17.15 in all"
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
Then we have a system of 3 equations:
T = L
R = T + L + 3
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
The first step to solve this is to replace the first equation into the other two, and get:
R = 2*L + 3
L*$0.18 + L*$0.27 + R*$0.55 = $17.15
Now we can replace the first equation into the second:
L*$0.18 + L*$0.27 + (2*L + 3)*$0.55 = $17.15
Now we can solve this for L.
L*($0.18 + $0.27 + 2*$0.55) + 3*$0.55 = $17.15
L*$1.55 + $1.66 = $17.15
L*$1.55 = $17.15 - $1.66 = $15.50
L = $15.50/$1.55 = 10
Then Jennifer bought 10 lilies.
And by the other two equations:
T = L = 10
She bought 10 tulips.
R = L + T + 3 = 10 + 10 + 3 = 23
She bought 23 roses
what is 3/8 divided by 2/5
Answers
Answer:
15/16
Decimal form: 0.9375
plz mark as brainliest :DD
To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answers
Answer:
8 quarts
Step-by-step explanation:
no explanation needed this should be correct.
Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.
Answers
Answer: C
Step-by-step explanation:
I just took the quiz and I got it right
Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
What is Complex number?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit
What is Modulus of a complex number?Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin
Given,
Complex number z divides by a second complex number w
To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction
From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w
Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
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All my digits are the same. The sum of my digits is greater than twelve. The sum of my digits is less than sixteen. Who am I?
Answers
Answer:
7and 7
Step-by-step explanation:
sum 7+7=14is greater than 12and less16
A recipe requires 540 grams of flour for 5 cupcakes.How much flour do you need for 8 cupcakes?
Answers
Answer:
864 grams
Step-by-step explanation:
540 divided by 5=108 grams per cupcake
108 times 8=864 grams
An isosceles triangle is transformed such that the vertex P' corresponds to the vertex P.
Which statement describes the transformation of the triangle?
The triangle was reflected over the y-axis.
The triangle was translated to the right 8 units.
The triangle was dilated.
The triangle was rotated 180 counterclockwise.
Answers
Answer:
correct
Step-by-step explanation:
Answer:
It is D, I just took the test.
20% of the people in a California town consider themselves vegetarians. If 20 people are randomly sampled, find the probability that:
Answers
it should be 4 because 20% is considered vegitarian so 20 * 20% = 4
so it should be 4
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
Answers
which function has the same domain as y=2_/x?
Answers
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of per hour. A research study will measure the cost of the new method over a sample production period. a. Develop the null and alternative hypotheses most appropriate for this study. : - Select your answer - : - Select your answer - b. Comment on the conclusion when cannot be rejected. We - Select your answer - conclude that the new method reduces costs. c. Comment on the conclusion when can be rejected. Consider implementing the new method based on the conclusion that it - Select your answer - the mean cost per hour.
Answers
Hi, you've asked an incomplete question. The full question reads;
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period.
a. Develop the null and alternative hypotheses most appropriate for this study.
b. Comment on the conclusion when H0 cannot be rejected.
c. Comment on the conclusion when H0 can be rejected
Explanation:
Remember, the null hypothesis usually represents the view the researcher has and that he wants to test or verify, while the alternative hypothesis refers to the opposite expected outcome.
a) Therefore, the null hypothesis is that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.
While the alternative hypothesis is that the newly proposed manufacturing method will not reduce the cost to lesser than $220.
b) When H0 (null hypothesis) cannot be rejected, it means that indeed the research data proved to show that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.
c) When H0 (null hypothesis) can be rejected it means that research data proved to show that the newly proposed manufacturing method would not reduce the mean cost to lesser than the current mean cost of $220. Hence, the manager's proposal would not be accepted.
Given: cos(3x – 180°) = Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, where 0 ≤ x < 180°
Which values represent the solutions to the equation?
{10°, 110°, 130°}
{20°, 100°, 140°}
{30°, 330°, 390°}
{60°, 300°, 420°}
Answers
Answer:
A: {10°, 110°, 130°}
Step-by-step explanation:
Did on edge
The solution to the equation is:
10° , 110° , 130°
Given,
cos(3x - 180) = -√3/2
Now,
To solve the trigonometric function,
cos(3x - 180) = -√3/2
Taking inverse of cos,
3x - 180° = [tex]cos^{-1} (-\sqrt{3}/2 )[/tex]
[tex]cos^{-1} (-\sqrt{3}/2 )[/tex] = 150°
3x - 180° = 150°
x = 10°
Hence the solutions of equation is the value of x that satisfies the relation .
x = {10° , 110° , 130° }
Know more about trigonometry,
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Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6
Answers
is this relation a function justify your answer
Answers
Answer:
D
Step-by-step explanation:
because two points on the x value shouldn't have more that one y value
What is the value of 92?
Answers
Find the value of x.
(5x-11)
V
(3x - 7)º
Answers
Answer:
1222222+1222222
Step-by-step explanation:
and then add doodod
g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?
Answers
Answer:
16Step-by-step explanation:
In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;
Let set A = {a, b, c, d}
Power of the set P(A) = [tex]2^n[/tex] where:
n is the total number of element in the set. Since we have four elements in the set, n = 4
[tex]P(A) = 2^4\\P(A) = 16[/tex]
This means that the set A have 16 subsets. The subsets of the set are:
{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.
From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.
Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16
Find the 'x' coordinate of the vertex of the equation
-4x2 + 7x - 3= 0.
Answers
Answer: 7/8
Step-by-step explanation:
Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y+5 = -0.7 (x-1)
Step-by-step explanation:
m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7
Aaron gets paid $152.80 for 8 hours of work. How much does he get paid for
every hour?
Answers
Answer:
19.10
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
B^2 + 11b + 18 ( Factor the question)
Help please!
Answers
................................
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
What is the Esquire root of 3?
Answers
Answer:
1.732
Step-by-step explanation:
.......................
Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .
I hope you find this helpful.
Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.
Answers
Answer:
Lets take the miles for 6 hours to be x.
Using cross-multiplication, this problem can be solved.
194 4
x 6
1164 = 4x
x = 291
Therefore, Joe drives 291 miles in 6 hours.
How do you write 554.1 in words
Answers
Answer:
Five hundred fifty-four and 10/100.
Step-by-step explanation:
I think? I hope this helps :/
Find the measures of the missing values.
Answers
$46.20 for 12 pizzas, how much per pizza
Answers
Answer:
3.85
Step-by-step explanation:i did the math .... :)
Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.
A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10
Answers
Answer:
A
Step-by-step explanation:
Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer
Answers
Answer:
Vanessa, she only needs to buy one ink cartridge according to the question
where Tia has to buy more? I need more info on the question
Step-by-step explanation:
Tia bought less expensive printer.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.
Equation that represents the cost for Vanessa's printer is -
V = 90 + 25c
Equation that represents the cost Tia's printer is -
T = 80 + 20c
For {c} = 1, the cost for Vanessa's printer is -
V(1) = $115
For {c} = 1, the cost for Tia's printer is -
T(1) = 80 + 20 = $100
Therefore, Tia bought less expensive printer.
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Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte superior e inferior será el doble que el margen en los lados. Encuentre el ancho de los márgenes si la parte impresa tendrá un área de 330 pulgadas cuadradas.
Answers
Answer:
can I get an english translation
What is the slope of the line shown
Answers
Answer:
-1/2
Step-by-step explanation:
using rise over run, we can see that we go down one and to the left 2. one divided by two is 1/2 meaning 1/2 is the correct answer.