The number of arrangements is an illustration of permutations.
The number of arrangement is 5040
The given parameter is:
[tex]n = 7[/tex] --- number of days
[tex]r = 7[/tex] --dinners for 7 days
So, the number of different arrangement is
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
Substitute known values
[tex]^7P_7 = \frac{7!}{(7 - 7)!}[/tex]
[tex]^7P_7 = \frac{7!}{0!}[/tex]
[tex]^7P_7 = \frac{5040}{1}[/tex]
[tex]^7P_7 = 5040[/tex]
Hence, the number of arrangement is 5040
Read more about arrangements at:
https://brainly.com/question/15301090
What are the answers to these questions
Hello there !
[tex]1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]
Konnichiwa!
Question:
What's 1/4 divided by 2/6?
Answer:
6/8
Step-by-step explanation:
you have to multiply by the reciprocal so 1/4 x 6/2 which is 6/8
Write the equation of the parabola in vertex form.
vertex (3,3), point (2, - 1)
Step-by-step explanation:
The vertex form of a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as
[tex]y = a(x - 3)^2 + 3[/tex]
We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:
[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]
or
[tex]a = -4[/tex]
Therefore, the vertex form of the equation for the parabola is
[tex]y = -4(x - 3)^2 + 3[/tex]
Please help me ASAP
please help me this is due at 6:00 and I will out for a while so please help
Answer:
a. -15
b.-5
2. 4/-3
Step-by-step explanation:
M is the midpoint of JK. Find the coordinates of K.
J (-8, 4), M (-1, 1)
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
can someone pls help me <33
9514 1404 393
Answer:
(a) 29/69
Step-by-step explanation:
It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.
Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.
The reduced fraction is ...
made shots/attempts = 174/414 = 29/69
__
Additional comment
As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).
174/414 ≈ 0.42028986
29/69 ≈ 0.42028986 . . . . same value
87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced
17/41 ≈ 0.41453415 . . . . . not equivalent
14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)
if a fuel efficient car can go 210 miles on 4gallons of fuel, how far can it go on 12
Multiply [-1 3/5 x (-6)] x (-3 3/4) x 10
Answer:
-360
Step-by-step explanation:
hope this helps!
Answer:
-360
Step-by-step explanation:
[-1 3/5 × (-6)] × (-3 3/4) × 10
= [-8/5×-6] × -15/4×10
= 48/5×-15/4×10
= -360
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
a car travels at an average speed of 64 miles per hour. How long does it take to travel in 3 hours and 30 minute
Answer:
4 hours and 30 minutes 288/64 = 4,5
Step-by-step explanation:
The average vertical jump for a player on the high school basketball team is 30 inches. The actual height varies by
at most 2 inches. Write and inequality that gives the range of the actual height h (in inches) of the players' verticals.
Answer: 28 <= h <= 32
Step-by-step explanation:
the actual height can be at most 2inches higher or lower than the average
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
Mona is decorating a bulletin board. She has 32 butterflies and wants to put them in 4 rows. Which picture shows how many she should put in each row?
Answer:
8
Step-by-step explanation:
you do 32/4 which is 8 so the anwer should be 8
Plot point F so that ABC is congruent to FGH. Identify a sequence of rigid motions that maps ABC onto FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent
Then by the Pythagorean theorem:
[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]
[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]
SSS (side-side-side) All three corresponding sides are congruent. =>
ΔABC≅ΔFGH
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
https://brainly.com/question/10724274
I have 18 tens and 22 ones what am
I
Answer:
A number. :) lol
Step-by-step explanation:
5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.
Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
Stuck on this problem can someone please help
Answer:
b
Step-by-step explanation:
Answer:
it have to D
Step-by-step explanation:
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
PLEASE HELP DUE IN 20
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER ^ - ^
Through (-4, 4) with slope of -3/4 answer
Answer:
use formula
(x-x^1)=m(y-y^1)
Hi could someone please help me thank you
Answer:
f(x) = 25 * 1.25ˣ
Step-by-step explanation:
Use Desmos
Search it up
HELPPP PLEASE I GIVE BRAINLIEST
Answer:
3 1/2
Step-by-step explanation:
3/7 = 0.429
1/2 = 0.5
Hopefully this helps!
Brainliest please?
How tall is House B?
Answer:
25 maybe I don't now ok because is house a is 24 maybe house b will be 25
Can you factorise 70+7z
[tex]70 + 7z \\ = 7(10 + z)[/tex]
Answer:7(10+z)
Given that (1,-8) is on the graph of f(x), find the
corresponding point for the function
1
f(x).
2
Enter the correct answer.
DOHO
DONE
Clear all
#OO
Answer:The graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.
So, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2).
Step-by-step explanation:
The sum of 6 times and 4 is 2
Answer:
6x +2=3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example, I'm using x)
When you put it all together, it is 6x + 2 = 3