Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
The ratio of red to blue marbles in a bag is 3:2. If there are 20 total marbles in the bag, how many blue marbles are in the bag?
Answer:
8
Step-by-step explanation:
Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then
3*x+2*x= 20
= 5x
Divide both sides by 5 to get
x=4
2*x is the amount of blue marbles, and 2*x = 8
Solve the Equation
-x+8+3x=x-6
x=-18
x=-14
x=2
x=4
Answer:
x= -14
Step-by-step explanation:
-x+8+3x=x-6
2x+8=x-6
2x-x=-6-8
x= -14
The value of x in the equation is -14
How to solve the equation?We have:
-x+8+3x=x-6
Collect like terms
3x - x - x = -6 - 8
Evaluate the like terms
x = -14
Hence, the value of x in the equation is -14
Read more about equations at:
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If there are 34 successes in a sample with a size of 40, what is the sample
proportion?
Answer:
Step-by-step explanation:
0.85
Answer:
.85
Step-by-step explanation:
Simplify.
3y - 4x + 6x - y
The simplified expression is???
Answer:
2y-4x+6x
=2y+2x
Step-by-step explanation:
Answer:
2x+2y
Step-by-step explanation:
Let's simplify step-by-step.
3y−4x+6x−y
=3y+−4x+6x+−y
Combine Like Terms:
=3y+−4x+6x+−y
=(−4x+6x)+(3y+−y)
=2x+2y
please help! asap
d- 5.44
Answer:
Step-by-step explanation:
2.72 is the unit rate
What is the area of this trapezoid enter your answer in the box
9514 1404 393
Answer:
336 cm^2
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...
A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
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Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
What is the answer to this question really need the answer
Answer:
A, B, D
Step-by-step explanation:
2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)
Help please I’m begging you
Answer:
subtract to eliminate y
Answer:
B
Step-by-step explanation:
add to eliminate y
Contemporain management
Answer:
This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.
Step-by-step explanation:
Other than that I don't know what you are asking for.
Sam is a movie reviewer. He attended a premiere and wants to know what the audience thought of the movie. There were 500 guests at the premiere. Sam asked 10 guests to rate the movie on a scale of 1 to 5. Here are the ratings he collected: 2, 3, 1, 3, 2, 5, 4, 1, 2, 2 Can the data given be used to calculate a point estimate of the rating of all the guests who attended the premiere? If so, calculate it. Round non-integers to the nearest tenth. If no assumptions can be made, type 0 in the box. The approximate guest rating for the movie by all the guests is .
Answer:
The approximate guest rating for the movie by all the guests is 0.
(Giving brainliest to correct answer)
Need quick
28 POINTS ANSWER RIGHT
Congruence
Answer:
BE =DE
BEC=DEC
AEB AED
Step-by-step explanation:
not that hard lol
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 3/4
cups of flour. How much flour would you use if you only had 1 cup of chocolate
chips?
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Answer:
1 7/8 cups flour
Step-by-step explanation:
Half the quantity of chocolate chips will call for half the quantity of flour:
(3 3/4 cups)/2 = (15/4 cups)/2 = 15/8 cups = 1 7/8 cups of flour
Evaluate the expression P(6,1)
Answer:
p(6,3)=120
Step-by-step explanation:
In the pic is how to do it
The value of the permutation expression P(6, 1) will be 6.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Evaluate the expression P(6, 1).
We know that the formula for the permutation is given as,
ⁿPₓ = n! / (n - x)!
From the above, the value of n is 6 and the value of x is 1. Then we have
⁶P₁ = 6! / (6 - 1)!
⁶P₁ = 6! / 5!
⁶P₁ = 6 x 5! / 5!
⁶P₁ = 6
The value of the permutation expression P(6, 1) will be 6.
More about the permutation and the combination link is given below.
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PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answer:
7 :)
Step-by-step explanation:
Change 13/5 to a mixed number PLEASE HELP ME
Answer:
[tex] 2 \frac{3}{5} [/tex]
Step-by-step explanation:
13 = 5 + 5 + 3
[tex] \dfrac{13}{5} = [/tex]
[tex] = \dfrac{5 + 5 + 3}{5} [/tex]
[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]
[tex] = 1 + 1 + \dfrac{3}{5} [/tex]
[tex] = 2 \frac{3}{5} [/tex]
Answer:
[tex]2\frac{3}{5}[/tex]
The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5
To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.
13 ÷ 5 = 2 and remainder = 3 =>
13 = 2 × 5 + 3 =>
13/5 =
(2 × 5 + 3) / 5 =
2 + 3/5 =
2 3/5
8. Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students are athletes. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. a. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.
Answer:
A=30%
B=27
Step-by-step explanation:
Please help ASAP!!!!!!!!!
______________________________
1.) Plug our numbers into the formula:[tex]B[/tex] × [tex]H[/tex][tex]6[/tex] × [tex]4=24[/tex]______________________________
the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?
Find the slope intercept equation of the line
Answer: The answer is y=2x-2
Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.
angles A and B together make up a straight line the measure of angle a is 5x-1 The measure of angle B is 6+2x find the value of X
PLEASE HELP SOON
Answer
16x-2 hope this helps love thx
Joshua had a poster he wanted to enlarge. The original poster had a length of 12 inches and a width of 8 inches. The enlarged poster had a width of 24 inches. The length of the enlarged poster is
in.
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection. Which equation could be used to find the number of
quarters in Kiara's collection?
Answer: I don’t think I understand can you set this up differently so I can answer this please
Step-by-step explanation:
BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
The triangle is rotated 90 degrees clockwise around the pount (0,0)
Answer:
(2,6)
Step-by-step explanation:
Option:B
The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).