Question. [factorial]
7! × 8! = .....
next .....
1) 7! × 8! = ?
_____________
= 7! × 8!
= (7.6.5.4.3.2.) × 8!
= 5040 × (8.7.6.5.4.3.2)
= 5.040 × 40.320
= 203.212.800 ☑
there are 28 tables for customers at mesa grill resturant. the tablesnare either two-seat tables or four-seat tables. when all tables are full, there will be 90 customers in the restaurant. how many two-seat tables are at the restaurant
Let's assume –
Number of two-seat tables be "x"[tex]\qquad[/tex] According to the question :-
[tex]\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 112−2x=90}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow −2x=90−112}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow −2x=−22}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow 2 x=22}[/tex]
[tex]\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}[/tex]
[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}[/tex]
Therefore –
Number of two-seat tables are 11.▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Answer: 11
Step-by-step explanation:
This is a problem of solving word problems using systems of equations.
Let's denote 2-seat tables by x and 4-seat tables by y. Therefore, their sum will be the total number of tables, which is 28. So, x + y = 28.
Now, let's concentrate on the number of customers. It says that 'when all tables are full, there will be 90 customers in the restaurant'. Therefore if we seat 2 people on each 2-seat table(x), their total number will be 2x and if we seat 4 people on each 4-seat number(y), their total number will be 4y. Hence, 2x + 3y = 90.
Now, we have a system with two equations:
[tex]\left \{ {{x + y = 28} \atop {2x + 4y = 90}} \right.[/tex]
Multiply the first line by -4.
[tex]\left \{ {{-4x -4y = -112} \atop {2x + 4y = 90}} \right.[/tex]
Now, by adding up these two equations, we get the following:
-2x = -22
x = 11
This means that the restaurant has 11 two-seat tables.
Can someone help me with these questions, please explain your answer. :D
Answer:
1. is the 3rd one
2. the last on is the answer
3 is A
4 is C
Step-by-step explanation:
The law of sines can only be applied to right triangles.
A. True
B. False
The law of sines can't only be applied to right triangles. Therefore, it's B. False.
What is the law of sines?The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all the three sides of the triangle.
The law of sines is used to solve any triangle, when we know two angles and one side or two angles and one included side. So, it can be used on non-right triangle and right triangle as the case may be.
The sine law states that the ratio of a triangle's side length to the sine of the opposite angle is the same for all three sides. When we are given a) two angles and one side, or b) two sides and a non-included angle, we use the sine rule.
Read more about Law of Sine on:
https://brainly.com/question/25655325
#SPJ1
What’s the slope intercept form of (5,-5),(0,-1)
y = x + 3/10 please help asap
Answer:
x
=
y
−
3/10
Step-by-step explanation:
Can anyone help me with this please and ty I really appreciate it if u can
What is the image of (-1,-4)(−1,−4) after a reflection over the line y=−x?
Answer:
Step-by-step explanation:
(-1,-4)→(4,1)
Please help I don’t know how to solve this
An escalator in a mall rises 28 feet over a horizontal distance of 48 feet. What is the slop of the escalator?
Answer:
7/12
Step-by-step explanation:
change in y / change in x
Find the slope:
(-1, -2) (-3, 4)
Answer:
-3
Have a nice day
Can someone please write this in slope intercept form with steps ? (Y=mx+b)
2y - 4x + 6 = 0
(If u don’t know DONT answer and correct answer gets BRAINLIEST
Step-by-step explanation:
2y - 4x + 6 = 0
2y = 4x - 6
y = 4x/2 - 6/2
y = 2x - 3
Answer:
[tex]y = 2x - 3[/tex]
Step-by-step explanation:
Simply make the y as the subject
[tex]2y - 4x + 6 = 0 \\ 2y - 4x = - 6 \\ 2y = - 6 + 4x \\ \frac{2y}{2} = \frac{ - 6 + 4x}{2} \\ y = - 3 + 2x \\ y = 2x - 3[/tex]
So,
[tex]y = mx + b \\ y = 2x - 3[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Snoop Dogg is cool. Jake the Dog is cool. Dog the Bounty Hunter is cool. Therefore, everyone with Dog in their name is cool. Inductive deductive or neither
is this a question? confused
Answer:
Inductive
Step-by-step explanation:
Inductive reasoning is an observation that doesn't have any reliable proof.
!! Help Quick Please!!
Answer:
The answer is definitelly B.(Area of 1) + (Area of 2) = (Area of 3)
Step-by-step explanation:
A because they are all surrounding the triangle
Please, can anyone help a teen with her homework?? My question is:
What is a magic square?? Please help!
I have to submit very soon (it's my homework not a test)
Giving the crown! (:
A magic square is a square containing a number of integers arranged in such a way that the sum of the numbers vertically, horizontally and diagonally is always the same number.
Hope it helps.
Do comment if you have any query.
A magic square is a large square that is divided into smaller squares. In a magic square, the smaller squares that make up the diagonal, horizontal and vertical magic square add up to the same value.
Popular magic squares include:
Sagrada Família magic square The Parker squarePlease find attached an image of a magic square. To learn more about magic squares, please check: https://brainly.com/question/79480
plzz help! 50 points and brainliest!
Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?
Answer:
im sorry if this is wrong but i think graph A
Step-by-step explanation:
id.k im sorry if it is wrong...
Answer:
A
Step-by-step explanation:
Edge 2022
anyone have the The Firework Filcher Maths Mystery answers?
Answer:
I think you're looking at the wrong place my guy...
Step-by-step explanation:
Choose one logarithmic property.
Use an exponential property to defend the validity of that specific logarithmic property. Show all work.
The logarithmic property chosen here is:
[tex]log_{a}[/tex] m - [tex]log_{a}[/tex] n = [tex]log_{a}[/tex] [tex]\frac{m}{n}[/tex], and its validity is proven below:
The logarithmic properties are up to six, but one of it that is applicable here is:
[tex]log_{a}[/tex] m - [tex]log_{a}[/tex] n = [tex]log_{a}[/tex] [tex]\frac{m}{n}[/tex]
In the above expression, both the numerator and denominator have the same base number, but different powers. So in this case, dividing a number of power m by the same number but of power n would given an answer that is the same as the number to the power of the difference between m and n.
For example: Solve;
a. [tex]log_{10}[/tex] 6 - [tex]log_{10}[/tex] 3
b. [tex]log_{10}[/tex] 8 - [tex]log_{10}[/tex] 5
c. [tex]log_{b}[/tex] 6 - [tex]log_{b}[/tex] 2
Solutions:
a. [tex]log_{10}[/tex] 6 - [tex]log_{10}[/tex] 3 = [tex]log_{10}[/tex] [tex]\frac{6}{2}[/tex]
= [tex]log_{10}[/tex] 2
= 0.3010
b. [tex]log_{10}[/tex] 8 - [tex]log_{10}[/tex] 5 = [tex]log_{10}[/tex] [tex]\frac{8}{5}[/tex]
= [tex]log_{10}[/tex] 1.6
= 0.2041
c. [tex]log_{b}[/tex] 6 - [tex]log_{b}[/tex] 2 = [tex]log_{b}[/tex] [tex]\frac{6}{2}[/tex]
= [tex]log_{b}[/tex] 3
The stated examples defend the validity of the specific logarithmic property.
Visit: https://brainly.com/question/12049968
solve for c: c divided by 3 equals 8
Answer:
c=24
Step-by-step explanation:
c/3 = 8
Multiply each side by 3
c/3 *3 = 8*3
c=24
factorise fully 4c+36
Answer:4(c+9)
Step-by-step explanation:
4+36
4(+9)
Solution
4(+9)
What is the quotient of (x^3 3x^2-4x-12)/(x^2 5x 6).
Answer:
Answer: The quotient is (x-2).
Step-by-step explanation:
Since we have given that
Now, we have to find the quotient of the above expression.
So, here we go:
Now, we will divide the above simplest form with g(x):
Hence, the quotient is (x-2).
Step-by-step explanation:
How can I divide greater numbers using a standard procedure
i am not understanding slope intercept form, if someone could explain it as well as graph and answer the question that would be great!
Answer:
Step-by-step explanation:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
Slope Intercept form: y = mx + b
Step-by-step explanation:
mx: the slope
b: y- intercept
To find the slope, use this formula:
y₂ - y₁ / x₂ - x₁
Add in the numbers
1 - (-5) / 0 - 2
-6/2 (or -3) = slope
Use point-slope form to find the Y- intercept
y - y₁ = m (x - x₁)
y - (-5) = -3 (x - 2)
y + 5 = -3x + 6
Subtract 5 from both sides
y = -3x + 1 ← Slope intercept form
Graph the y- intercept at 1, and go down 3 and to the right 1. Your two coordinates will be (0 , 1) and (1, -2) .
The area of a rectangle is 72m2 and its length is 12m.find its breadth and perimeter.
Answer:
Step-by-step explanation:
Area = 72 m^2
L = 12m
Formula
w = Area / L
Perimeter = 2L + 2W
Solution
72m^2 = 12 W Divide both sides by 12
72/12 = 12W / 12
W = 6 m
Perimeter = 2L + 2W
Perimeter = 2*12 + 2*6
Perimeter = 24 + 12
Perimeter = 36 m
Which of the following solutions solves the system?
7x+y= 6
x+ 2y = -1
A. (-1,0)
B. (1,0)
C. (1,-1)
D. None of these choices are correct
Answer:
C
Step-by-step explanation:
To find which of the given choices are solutions for the system of equations, we need to:
-substitute x, and y with the given coordinates and
-check if they are solutions for both equations.
7x+y= 6
x+ 2y = -1
A. (x = -1, y = 0) ❌
7(-1)+0= 6; -7 =6 FALSE
-1+ 2*0 = -1; -1= -1 TRUE
B. (x = 1, y = 0)❌
7*1+ 0= 6; 7= 6 FALSE
1+ 2*0 = -1; 1 =-1 FALSE
C. (x =1, y= -1)✅
7*1 -1= 6; 6=6 TRUE
1+ 2(-1) = -1; -1=-1 TRUE
D. None of these choices are correct ❌
because one choice is correct
Jeff can read a 300 page book in 10 hours. His twin sister, Sasha can read a 350 page book in 11 hours. Who reads at the faster rate
Answer:
Sasha reads fat than her twin brother Jeff because in 10 hours he only 300 pages, but even though sasha read her book in 11 hours there's a 50 page difference.
write the equation of a line that is parallel to y=-3/2x -1 and that through the point (4,6)
Answer:
[tex]y=-\frac{3}{2}x+12[/tex]
Step-by-step explanation:
Hi there!
We want to write the equation of a line parallel to y=[tex]-\frac{3}{2}x-1[/tex] and that passes through the point (4,6)
Parallel lines have the same slopes, but different y intercepts.
The slope of the equation [tex]y=-\frac{3}{2}x-1[/tex] is [tex]-\frac{3}{2}[/tex], since the equation is written in y=mx+b format (m is slope and b is y intercept), and [tex]-\frac{3}{2}[/tex] is in the place where m is.
It's also the slope of the line parallel to it.
So we know the slope of the new line, let's write it down:
y=[tex]-\frac{3}{2}x[/tex]+b
Let's find b, in order to complete the equation
Since the equation passes through the point (4, 6), we can use it to solve for b.
Substitute 4 as x and 6 as y into the equation:
6=[tex]-\frac{3}{2}[/tex](4)+b
Multiply
6=-6+b
Add 6 to both sides
12=b
Substitute 12 as b in the equation.
y=[tex]-\frac{3}{2}x+12[/tex]
Hope this helps!
100 points & brainliest!
Answer:
Y=#x+Y
Step-by-step explanation:
I think this formula would be best to use as one of the numbers would keep on changing while the other stays the same.
Enjoy, Hope i get what i promised :D
Answer:
Y=#x+Y
Step-by-step explanation:
Simplify the expression:
-3(6 - 1.5n)=
Answer:
Step-by-step explanation:
Use distributive property: a*(b +c) =a*b + a*c
-3( 6 - 1.5n) = (-3)*6 - (-3)*1.5n
= -18 + 4.5n
Answer:
-18 + 4.5n
Step-by-step explanation:
-3(6 - 1.5n) = -3(6) -3(-1.5n) Distributive
= -18 + 4.5n Multiplication. Remember (-) (-) = +
Pls help geometry Thanks in advance
30 is the length of the hypotenuse
24 is one of the bases
a^2+b^2 = c^2
where c is the hypotenuse (longest side)
24^2 + y^2 = 30^2
576 +y^2 = 900
y^2 = 324
y= √324 = 18
y = 18
Find the gradient of the line segment between points (8,6) and (10,14)
Answer: 4
Step-by-step explanation: