Answer:
n=11
Step-by-step explanation:
Permutations
The formula to calculate permutations is:
[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]
We know nP3=990. Substituting:
[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]
Expanding the factorial in the numerator:
[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]
Simplifying:
[tex]n(n-1)(n-2)=990[/tex]
This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:
[tex]n(n-1)(n-2)=11*10*9[/tex]
It follows that n=11
i just what some special person who gets this to have a good day stay safe god bless
Answer:
Same back to you
Step-by-step explanation:
I hope you smile today and don't let corona stop you from anything
Answer: thank you
Step-by-step explanation:
Translate the phrases to algebraic expressions.
The sum of 8 times a number and 3
Answer:
8x+3
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
HELP ME PLEASE IM DESPERATE
Answer:
the answer is below
Step-by-step explanation:
accidently made b to x
44 laps in 7 days = ____ laps in 14 days
Answer:88
Step-by-step explanation:
Answer:
88?
Step-by-step explanation:
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A is the variable.
HELP I NEED HELP ASAP
Taxi Driver A(x)=1.50x+5 and Taxi Driver B charges B(x)=1.25x+8 where x is the number of miles driven. After how many miles will the cost be the same for each taxi driver?
Answer:
12 miles
Step-by-step explanation:
1.25x + 8 =1.5x+5
1.25x-1.5x=5-8
-0.25x=-3
-0.25x/-0.25x=-3/-0.25
x= 12
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
Answer:
There we go!!!
Can yall pls help with this
Answer:
x=7
Step-by-step explanation:
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
write 6.04x10^3 as an ordinary number
Answer:
6040
Step-by-step explanation:
You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)
Answer:
hmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
hmmmmmmmmmmmmmmmmmmmmm
On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.
Answer:
10 5
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
First find the unit rate by find the cost per box.
To find the cost per post you will divide the cost by the number of boxes.
5/ 2 = 2.5
7.50/ 3 = 2.5
2.5 is indeed equal to 2.5 so they are equivalent.
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week
Answer:
The percent increase is 12%
Step-by-step explanation:
Hope this helps
Answer:
12%
Step-by-step explanation:
Refer to the diagram shown.
Answer:
x=5
Step-by-step explanation:
According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.
2x+3 = 4x-7
10 = 2x
x=5
Answer:
X=5
Step-by-step explanation:
2x+3= 4x-7
-4x -4x
-2x +3 = - 7
-3 -3
-2x = -10
divide -10 by -2x
which would give you your answer X=5
Can someone solve the joke please?
Why did the new boy steal a chair from the classroom?
Answer:
Because the teacher told him to take a seat.
Answer:
Lol. Because the teacher told him to take a seat.
Which number sentence is represented by the number line?
Answer:
8
Step-by-step explanation:
it is 8
can someone explain how to find the slope
Answer:
slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!
How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution
Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
Find the value of V31.36
I need help -5 + g = -2 step by step so I can learn
Answer:
Step-by-step explanation:
if you need to find g,
add 5 on both sides
g=-2+5
g=3
A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?
Answer:
the answer is 9 inches
360/10=36
36*.25 =9
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.
Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.
Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.
So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.
Therefore, she owes the employment agency $1,320.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ6
I need help with this ASAP.
Answer:
1. Domain: -2, 0, 4; Range: -7, -1, 0, 3
2. Domain: -4, -1, 2, 3 Range: -5, 1, 8
Step-by-step explanation:
Domain and range are the just the x and y value in function table or ordered pair.
What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm
Answer:
285,600
Step-by-step explanation:
I calculated it I am pretty sure I am correct
Answer:
110
Step-by-step explanation:
I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.
What is the value of the expression (0.4)2
Hurry please! Thank you I really appreciate it :)
Answer:
5 meters
Step-by-step explanation:
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
