Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
Answer:
We have to arrange 6 people in line
. Now, the number of ways to arrange n items = n!.
Hence, the answer is 6!=
=6×5×4×3×2×1= 720 orders
A - 3/4 = 1/8 step by step explanation
Answer:
A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8
7/8-6/8=1/8 therefor A=7/8
substitution method please help :3
Answer:
7x + 27 = -17
Step-by-step explanation:
2x + 5x = 7x
3y + (-y) = 2y
-5 + (-12) = -17
Combine them to make the added equation.
7x + 2y = -17.
How do I find the circumference?
7 3/4 + 3 5/6 - 1 3/4
Answer:
This does not have to be complicated.
Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6
Step-by-step explanation:
what is the distance from (-4, -7) to (4, 8) ?
Answer:
17
Step-by-step explanation:
We can use this formula:
[tex]\sqrt{(x2-x1)^2 + (y2 -y1)^2}[/tex] where x and y indicate the coordinates of the two points
[tex]\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17[/tex]
Answer:
17
Step-by-step explanation:
You are given two points so you use the distance formula
[tex] \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Substitute your points into the formula
Original price: $330 discount percent: 15%
Answer:
$280.5
Step-by-step explanation:
Answer:
$280.5
is the answer <3
Find the area. 7 in. 5 in. 12 in.
Answer:
I believe its 47.5
Hope this helps!
Answer:
142.5
Step-by-step explanation:
1/2×5×(7+12)=142.5
hii please help asap ill give brainliest thanks
Answer: A) Buddhism
Step-by-step explanation:
Answer:
Thee answer is A. Buddhism. Hope this helps!
Step-by-step explanation:
PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW
Answer:
x^4
is the answer
The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?
Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
[tex]x + y = 0 \\ y = {x}^{2} + 2xy[/tex]
can any one tell this answer with dafination and all steps
Answer:
(1, -1)
Step-by-step explanation:
Given the expression
x+y = 0 .....1
y = x²+2xy ....2
From equation 1, x = -y
Substitute into 3
y = x²+2xy
y = (-y)²+2(-y)y
y = y²-2y²
y = -y²
1 = -y
y = -1
Since x = -y
x = -(-1)
x = 1
Hence the required solution is (1, -1)
Which statement is true about the equation
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
Answer:
it has one solution which is 4
Answer:
hope this helps you......
A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Find the area of a sector of a circle with radius 7 cm and and central angle 240°.
Answer:
103 cm^2
i just took the quick check
Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?
Answer:
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
Step-by-step explanation:
Let
The number of Chocolate cones = x
Vanilla cones = y
Ike's igloo sold 501 ice cream cones today.
x + y = 501.... Equation 1
They sold half as many chocolate ice cream cone as vanilla ones.
x = 1/2y
x = y/2
Cross multiply
y = 2x
We substitute 2x for y in Equation 1
x + 2x = 501
3x = 501
x = 501/3
x = 167
Solving for y
y = 2x
y = 2 × 167
y = 334
Therefore,
The number of
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
The tax rate at this restaurant is 9.5%.
Marc’s sales tax is $1.61. How much was his subtotal?
Answer:
I don't know, I'm just doing this to get points. lol
Step-by-step explanation:
haha
PLEASE ANSWER!
I need asap
Answer:
input sloperelation outputStep-by-step explanation:
very sorry if I'm wrong
Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2
Answer:
Multiply 15 by 9, then divide by 2.
Step-by-step explanation:
We need to solve the given expression.
[tex]15\div \dfrac{2}{9}[/tex]
We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]
We have,
a = 15, b = 2 and c = 9
So,
[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]
So, the steps are "Multiply 15 by 9, then divide by 2".
Solve x + 10 > 14. Then graph the solution.
Answer:
x>4
Step-by-step explanation:
True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.
Answer:
false
Step-by-step explanation:
A secant of a curve is a line that intersects the curve at least twice.
pls hekp put in sections
B
0.68 is repeated 8 times elevated with its expressed fraction. Simplesst form will stay the same
(if i had my work that i did on paper for this than i would send it but i cant find it sorry)
(branliest will be appreciated)
“28 is 40% of what number?” i got 70, is that correct?
Answer:
70
You got it correct :)
Step-by-step explanation:
[tex]\frac{28}{y} =\frac{40}{100}[/tex]
y × 40 = 100 × 28
40y = 2800
40y ÷ 40 = 2800 ÷ 40
y = 70
Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²
Respuesta:
88,8 cm²
Explicación:
Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.
Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.
Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm
Luego, podemos calcular el área del hexágono usando la siguiente fórmula:
Area = Perímetro × Apotema / 2
Area = 48 cm × 3,7 cm / 2 = 88,8 cm²
hello please help i’ll give brainliest
Answer:
1
Step-by-step explanation:
A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).
Answer:
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Step-by-step explanation:
Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).
So, we use the equation in standard form
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.
Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,
-bx/a = -x ⇒ b/a = 1 ⇒ a = b
Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²
substituting c = 5 and a = b into the equation, we have
c² = a² + b²
5² = a² + a²
25 = 2a²
a² = 25/2
a = √(25/2)
a = ±5/√2
rationalizing, we have
a = ±5/√2 × √2/√2
a = ±5√2/2
Since a = b, b = ±5√2/2
Inserting a and b into the equation for the hyperbola, we have
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
So, the required equation is
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Help please ! 11x+4<15 or 12x+7>-25
Answer:
A
Step-by-step explanation:
From the first inequality,we got:
11x+4<15
11x<11
x<1
From the second inequality,we got:
12x>-18
x>-3/2
Combine it together we got
-3/2<x<1
Answer:
All values of x are solutions
Step-by-step explanation:
Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)
Answer:
2x + 5
Step-by-step explanation:
I am assuming you are talking about a linear function. If it is, then the equation would be:
2x + 5.
Hope this helps!
Answer:
[tex]y = 2x + 5[/tex]
Step-by-step explanation:
For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.
In order to find the equation, we must find the slope and y-intercept.
Finding mThe slope can be found with the formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.
Substituting in values from the points, we get:
[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]
Finding bIn order to find the y-intercept, we must substitute the slope back into the original equation:
[tex]y = 2x + b[/tex]
After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.
[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]
Finding the equationAfter this, all that must be done is to substitute the values for b and m back into the original equation.
[tex]y = 2x + 5[/tex]
To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.
[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]