Answer:
Option C.
Step-by-step explanation:
We know the following properties,
1. Product of an irrational number and a non-zero rational number is always an irrational number.
2. Sum of a rational and an irrational number is always an irrational number.
3. Sum or products of rational numbers are always a rational number.
In option A,
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number.
[tex]\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 1.
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 2.
So, using the above properties we can say that this expression represents an irrational number.
Similarly,
In option B,
[tex]4\frac{2}{3}\times\frac{8}{\sqrt{3}}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
In option C,
[tex]4\frac{2}{3}-\frac{\sqrt{4}}{8}[/tex]
Here, [tex]\sqrt{4}=2[/tex], which is a rational number.
So, this expression represents a rational number using property 3.
In option D,
[tex]4\frac{2}{3}\times\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
Therefore, the correct option is C.
Which number is an irrational number? 3 3/4 3 3/4 √64 √, 64 √91 √, 91 10.25
Answer:
[tex]\sqrt{91}[/tex] is irrational
Step-by-step explanation:
A rational number is a number that can be written as a ratio. Any whole number is rational number because it can be turned into a ratio.
The [tex]\sqrt{91}[/tex] is irrational.
3 (or 3/1) is rational.
3/4 is rational
[tex]\sqrt{64}[/tex] = 8 and thus, is rational.
[tex]\sqrt{91}[/tex] = 9.539392014...... and is irrational
10.25 can be written as 41/4 so it's also rational.
This is based on my assumption you mistyped the 2 with the commas.
Solve 2(x + 1) = 2x + 5
Answer:
no solution
Step-by-step explanation:
Given
2(x + 1) = 2x + 5 ← distribute parenthesis on left side
2x + 1 = 2x + 5 ( subtract 1 from both sides )
2x = 2x + 4 ( subtract 2x from both sides )
0 = 4 ← not possible
This indicates the equation has no solution
Answer:
See below
Step-by-step explanation:
● 2(x+1) = 2x +5
Multiply 2 by (x+1)
● 2x + 1×2 = 2x+5
● 2x + 2 = 2x+5
Substract 2x from both sides
● 2x+2-2x = 2x+5-2x
● 2 = 5
This is impossible, so this equation has no solution.
1/4 > 1. Order the following rational numbers from greatest to least: 25% - 0.17 3 5 1.2 - 12 First convert these numbers to decimal form. Show your work below. You can write on the screen! Next, grab the numbers in the list and place them in order from GREATEST to LEAST!
Answer:
1.2, 3/5, 25%, 0.17, -12
Step-by-step explanation:
In order to put these from greatest to least, you must put these in like terms.
Since there are more decimals that other terms, we're going to convert them all to decimals.
25%= 0.25
0.17= 0.17
3/5= 0.60
1.2= 1.20
-12= -12.00
Now that we see which numbers are greater, we convert them back to their original terms and place them in order from greatest to least.
1.2, 3/5, 25%, 0.17, -12
What does this tell us about the sum of 7 and its opposite, -7?
Answer:
it is a naughtiest number
Answer:
0
Step-by-step explanation:
Draw a number line. Start at -7 and add 7 to it. The result will be zero.
A rectangle has a length of (2m - 5) inches and a width of (4m - 2) inches. If the rectangle has a perimeter of 382 inches, then what is the length & width of the rectangle?
Answer:
length = 56.33 inches
width =120.64 inches
Step-by-step explanation:
answer attached
What is the value of m in the equation 1/2m -3/4n=16,when n=8?
A:20
B:32
C:44
D:48
Could someone please help me asap!! Pleasseeeee and thanks.
Answer:
Step-by-step explanation:
a² - b² = (a + b) (a - b)
1)x² - 36 = x² - 6² = (x + 6)(x-6)
2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)
= 4(x² -2²)
= 4(x + 4)(x-4)
3) 9x² -1 = 3²x² - 1² = (3x)² - 1²
=(3x + 1)(3x - 1)
A group of friends were working on a student film that had a budget of $800. They used 75% of their budget on costumes. How much money did they spend on costumes?
Answer:
They spent $600 on costumes.
Step-by-step explanation:
10% = $800 ÷ 10 = $80
20% = $80 x 2 = $160
50% = $800 ÷ 2 = $400
5% = $80 ÷ 2 = $40
400 + 160 + 40 = $600
Hope this helps!
Answer:
budget=$800
used money percent=75%
Now,
spend money
=75×800/100
=75×8
=$600
In the expression 11 + 3n, the coefficient is 11.
(1 point)
O This statement is false. In the expression 11 + 3n, the coefficient is 3.
This statement is true.
This statement is false. In the expression 11 + 3n, the coefficient is n.
This statement is false. In the expression 11 + 3n, the coefficient is +
Answer:
This statement is false. In the expression 11 + 3n, the coefficient is 3.
Step-by-step explanation:
Given
Expression: 11 + 3n
Required
Is 11 the coefficient?
In the given expression, there are two expression;
11 and 3n
Explaining 11
11 is just a constant as it doesn't have any variable attached to it
Explaining 3n
This can be expressed as 3 * n
As such;
[tex]3[/tex] is the coefficient and [tex]n[/tex] is the variable
Hence;
Option A answers the question
1. If the measure of an angle is 38°, find the measure of its complement.
O 38°
O 52°
O 142
62°
Answer:
52
Complementary Angles:
Two angles that add up to 90.
Lake Victoria has the largest surface area of Lakes in Africa. Surface area is 26,828 Square miles. How much larger is the surface area of lake superior then that of like Victoria
Answer:
1.18 times
Step-by-step explanation:
Given that :
Surface area of Lake Victoria = 26,828 sq miles
How much larger is the surface area of lake superior than that of like Victoria?
The surface area of Lake Superior = 31,700 sq miles
Hence, taking the ratio of the surface area of the two Lakes :
Lake Superior / Lake Victoria
31,700 / 26,828
= 1.1816013
Hence, the surface area of Lake Superior is 1.18 times larger than the surface area of Lake Victoria.
A parallelogram has sides lengths of 7 inches and 11 inches. Find the prerimeter
Answer: 36 in
Step-by-step explanation:
the formula for perimeter: 2(l+w)
length: 7
width/length: 11
2(l+w)
=2(7+11)
=2(18)
=36 in
Hope this helps!! :)
Please let me know if you have any question
Answer:
The perimeter of the parallelogram is 36 inches.
Step-by-step explanation:
The perimeter of a parallelogram is the addition of all of its side lengths. In a parallelogram, each side length is repeated twice. The perimeter can thus be represented by the following formula:
P = length + length + width + width
Now, we can substitute in the values that we are given in the problem.
P = 11 + 11 + 7 +7
Next, we simply have to add together the remaining values to simplify.
P = 36 inches
Therefore, the perimeter is 36 inches.
Hope this helps!
Expand (6 − )(6 + ). *
What is the acceleration of a car that travels in a straight line at a constant speed?
Answer:
zero
Step-by-step explanation:
Answer:
Average acceleration = (change in velocity)/(time it takes)Step-by-step explanation:
Solve this linear equation
a+b=8
a-b=4
Answer:
a = 12 b = -4
Step-by-step explanation:
To solve this equation it would be easiest to use the elimination method
a + b = 8
a - b = 4
a = 12
Now all we have to do is substitute 12 for a in any equation. For this I will use the first one.
12 + b = 8
Lastly subtract 12 from both sides
b = -4
Answer:
a = 6 , b = 2
Step-by-step explanation:
a+b - (a-b) = 2b
8 - 4 = 4
2b = 4
b = 4 ÷ 2
b = 2
When b = 2,
a+2 = 8
a = 8 - 2
a = 6
Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.
Answer: $4000 + $200n + $50x
Step-by-step explanation:
From the question, we are informed that every month, Rachel gets a basic salary of $4000 and also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves.
The expression for her total salary for a month if she sells n policies and resolves x complaints will be:
= $4000 + ($200 × n) + ($50 × x)
= $4000 + $200n + $50x
plz give me correct answer.....correct answer will be marked BRAINLIEST and be followed...
Answer:
a+b+c+d+e+f=540.
Angles in a triangle=180.
3 triangles=180×3=540.....
I do not know the answer to this question, could someone help me?
Answer:
a) {-1, 4}
b) {-1, 1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
a) The intersection of M and D is all values in M that are also in D. In this case, it is only -1 and 4.
{-1, 4}
b) The union of M and D are all of the distinct numbers in both of the sets.
{-1, 1, 2, 3, 4, 5, 7, 8}
solve the equation x over 4 = 12 over 6
Answer:
x = 8
Step-by-step explanation:
Solve for x:
x/4 = 12/6
Hint: | Reduce 12/6 to lowest terms. Start by finding the GCD of 12 and 6.
The gcd of 12 and 6 is 6, so 12/6 = (6×2)/(6×1) = 6/6×2 = 2:
x/4 = 2
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of x/4 = 2 by 4:
(4 x)/4 = 4×2
Hint: | Cancel common terms in the numerator and denominator of (4 x)/4.
(4 x)/4 = 4/4×x = x:
x = 4×2
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: x = 8
10a -5ab+ 4b
(if a = 2/5 and b =-1/6)
Answer:
11/3 or 3 2/3 (sry if its wrong)
Step-by-step explanation:
[tex] \frac{3}{4} |m - 2n {}^{2} | [/tex]
If m = -4 and n=6
a) 2.5x + 1.25 < 3.75
b)5.12 2.4x + 0.3
help!!!
Answer:
a) 1
b)I would like to help u but i don't understand the question I think something is missing there plus sign or minus sign sry
Step-by-step explanation:
2.5x + 1.25 < 3.75
2.5x < 3.75 - 1.25
2.5x < 2.5
[tex] \frac{2.5x}{2.5} = \frac{2.5}{2.5} [/tex]
x = 1
I hope u like it ❤️❤️
For any question comment me
Really sorry for the second question
Four mathematicians have the following conversation:
Alice: I am insane.
Bob: I am pure.
Charlie: I am applied.
Dorothy: I am sane.
Alice: Charlie is pure.
Bob: Dorothy is insane.
Charlie: Bob is applied.
Dorothy: Charlie is sane.
You are also given that:
● Pure mathematicians tell the truth about their beliefs.
● Applied mathematicians lie about their beliefs.
● Sane mathematicians beliefs are correct.
● Insane mathematicians beliefs are incorrect.
Describe the four mathematicians.
Answer: plz mark as brainliest
Step-by-step explanation:The table below shows the net effect of a person’s mental state and occupation on his or her truth telling.
Suppose that Dorothy is telling the truth. Then she is sane (and hence a pure mathematician) and Charlie is sane. Bob says that Charlie is insane, so Bob is not telling the truth. Since he says he’s pure, he’s actually applied and hence Charlie is telling the truth. But then he’s applied and sane applied mathematicians do not tell the truth. This is a contradiction.
Therefore, Dorothy is not telling the truth. Thus, both Charlie and Dorothy are insane (hence Dorothy is pure). Consequently, Bob is telling the truth. Therefore Bob is pure (and sane, since he is a truth teller). Since Charlie says that Bob is applied, he is not telling the truth. Since we know that he is insane, he must be pure.
Since Alice says that Charlie is pure, she is telling the truth. Therefore she is insane and consequently applied.
In summary:
Alice is an insane applied mathematician.
Bob is a sane pure mathematician.
Charlie is an insane pure mathematician.
Dorothy is an insane pure mathematician.
Alice: Alice claims to be insane. If she is telling the truth, then her belief is incorrect, and she is, in fact, sane.
What is a mathematician?Mathematicians and statisticians solve problems in industry, academia, and government by using formulas and data.
Alice: Alice claims that she is insane. If she's telling the truth, her belief is incorrect, and she's perfectly normal. Alice is thus either pure or applied.
Bob: Bob declares himself to be pure. Bob's belief is correct, and he is indeed pure, because pure mathematicians tell the truth.
Charlie claims to be applied, but Alice claims Charlie is pure. Alice's claim about Charlie is true because applied mathematicians lie, and Charlie is actually pure.
Dorothy: Dorothy asserts that she is sane. Dorothy's belief is correct, and she is indeed sane, because the beliefs of sane mathematicians are correct.
Therefore, the four mathematicians are Alice (either pure or applied), Bob (pure), Charlie (pure), and Dorothy (sane).
For more details regarding mathematicians, visit:
https://brainly.com/question/30613154
#SPJ3
A Student built a tent-shaped like a rectangular box for science experimentation, The tents is 3 yards wide, 5 yards long 2 yards high, what is the volume of the tent in cubic meters (m^3)?
Answer:
30 meters^3
Step-by-step explanation:
volume is l x w x h
so the formula would be 5x3x2
which is 15x2
therefore the answer is 30
hello I need help solving combining like terms
-7x+9x
-5-8n-3
1+9v-5+4v
Answer:
1. 2x
2. -8n - 8
3. 13v - 4
Step-by-step explanation:
1. Put them nto standard form, it makes adding and subtracting easier
[tex]9x - 7x\\\\-8n - 5 - 3\\ 9v + 4v - 5 + 1[/tex]
A bag contains red and blue pens in the ratio 2:7. There are 18 red pens in the bag. How many blue pens are in the bag?
blue pens= 63
Step-by-step explanation:
answer of question
Answer:There are
49
blue balls in the bag.
Explanation:
The ratio of red balls and blue balls in a bag is
2
:
7
i.e for every
2
red balls there are
7
blue balls. So for
14
red balls there are
14
----
2
⋅
7
=
49
blue balls.[Ans]
hey please!! Thank you <33
Answer:
h÷2
Step-by-step explanation:
[tex]2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}[/tex]
Solve the system of linear equations in two variables by elimination or substitution.
y=1 + x
2x+y=-2
Answer: x=-1, y=0
Step-by-step explanation:
y=1+x
2x+y=-2
-----------------
#1 Elimination #2 Substitution
y=1+x y=1+x
2x+y=-2 2x+y=-2
---------------
-x+y=1 2x+(1+x)=-2
2x+y=-2 2x+1+x=-2
--------------- 3x+1=-2
-2x+2y=2 3x=-3
2x+y=-2 x=-1, y=0
--------------
3y=0
------------
y=0, x=-1
Hope this helps!! :)
Please let me know if you have any question
Which expression models the following
phrase: "an hourly wage of $12.75"?
Answer:
h = number of hours worked
m = total wage of worked hours
12.75h = m
You and your friend each have some pennies. If you give your friend 1 penny, then you and your friend
will have the same number of pennies. If your friend gives you 1 penny, then you will have twice as many
pennies as your friend. How many pennies did you each start with?
Answer:
You have 3 pennies and your friend has 1 penny
Step-by-step explanation:
The given parameters are;
Let friend A = you
friend B = Your friend
The number of pennies with friend A when he gives friend B 1 penny = Equal number of pennies between friend A and B
The number of pennies with friend A when he is given 1 penny by friend B = 2 times the number of pennies with friend B
Let the number of pennies with friend A = X and the number of pennies with friend B = Y, therefore, we have;
X - 1 = Y + 1.....................(1)
X + 1 = 2 × Y...................(2)
Subtracting equation (1) from equation (2), we get;
X + 1 - (X - 1) = 2·Y - (Y - 1)
X - X + 1 + 1 = 2·Y - Y + 1
2 = Y + 1
Y = 2 - 1 = 1
Y = 1
From equation (1), X - 1 = Y + 1 gives;
X - 1 = 1 + 1
X = 1 + 1 + 1 = 3
Friend A has 3 pennies and friend B has 1 penny.
Therefore, you have 3 pennies and your friend has 1 penny