Answer:
70,560 ways
Step-by-step explanation:
This problem is an arrangement problem, as the order of the two people chose in each department matters.
So, for each department, we have an arrangement:
First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56
Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30
Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42
The total number of ways is the product of each number of arranges, so:
Number of ways = 56 * 30 * 42 = 70,560
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?
Answer:
about $45.71
Step-by-step explanation
32/70%
32 x 100/70
32 x 10/7
320/7
$45.71
The original price would be $41.6.
A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine
Answer:
8/9
Step-by-step explanation:
The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
inverse of f(x)=50000(0.8)^x
Answer:
Step-by-step explanation:
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?
4x + 2y = 84
3x + 5y = 126
Answer:
1. cost of each car
2. cost of each SUV
3. (12,18)
4. $30
5. $132
Step-by-step explanation:
In the system of equations,x represents the cost of each car and y represents the cost of each SUV
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Answer:
We need the segments but which ever one has the segment that is 2/3 times the length of segments xy
Step-by-step explanation:
Answer: line c
Step-by-step explanation: I got it correct
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
Add or subtract by first changing the mixed numbers to improper fractions.
A: 3 1/3 + 5 3/4
Answer:
10/3 and 23/4
Step-by-step explanation:
Answer:
9 1/12
Step-by-step explanation:
3 1/3 + 5 3/4
Get a common denominator of 12
3 1/3*4/4 + 5 3/4 *3/3
3 4/12 + 5 9/12
8 13/12
8 + 12/12 + 1/12
8+1+1/12
9+1/12
9 1/12
Changing to improper fraction
3 1/3 = ( 3*3+1)/3 =10/3
5 3/4 = ( 4*5+3)/5 =23/4
Getting a common denominator
10/3 * 4/4 = 40/12
23/4 *3/3 =69/12
-------------
109/12
12 goes into 109 9 times
9*12 = 108 and that leaves 1 left over
9 1/12
i just need this question
Find the area of the shaded regions:
The pink is the shaded region.
40π
You dont need paper hw since we're in quarantine
Answer:40
Step-by-step explanation:
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answer:
one
Step-by-step explanation:
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30
Step-by-step explanation:
150/100 = 1.5
1.5 is 1% of 150
20% of moviegoers recommend the movie
1.5 times 20 = 30
A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
What is the y- intercept of the graph shown that is below
Answer:
B
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
This point is y = 2
with coordinates (0, 2 ) → B
The line is crossing the y axis at (0,2)
What is intercept ?The x - intercept is where a line crosses the axis and the y intercept is the point where the line crosses the y - axis .
observing the graph it can be concluded that ,
The line is crossing the y axis where x = 0 and y = 2 , so the point is (0,2)
correct answer is c) (0,2)
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Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.
Answer: 49.5 and -0.5
Step-by-step explanation:
a + b =49
a - b = 0.5
a= 49.5
b= -0.5
The two numbers are approximately 24.25 and 24.75.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
Let's call the two numbers x and y.
According to the problem, we have two equations:
x + y = 49 (since their sum is 49)
x - y = 1/2 (since their difference is 1/2)
We can solve this system of equations using the method of substitution.
First, we can rearrange the second equation to solve for one of the variables in terms of the other:
x - y = 1/2
x = y + 1/2
Now we can substitute this expression for x into the first equation:
(y + 1/2) + y = 49
2y + 1/2 = 49
2y = 48.5
y = 24.25
Now we can use this value of y to solve for x:
x = y + 1/2 = 24.25 + 1/2 = 24.75
Therefore, the two numbers are approximately 24.25 and 24.75.
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i need heeellllpppppp
Answer:
20 cents per unit
Step-by-step explanation:
Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents
Answer:
the unit price is $0.20 for 1 pencil
Step-by-step explanation:
if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil
write it as a ration of cost to pencil
the ratio is 1/5
now divided 5 on the top and the bottom to get the unit price
1 divided by 5= 0.2
so now the ratio is 0.2/1
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answer:
-3/2
Step-by-step explanation:
We can find the slope between two points using
m = (y2-y1)/(x2-x1)
= (-7 - -1)/(5 - 1)
(-7+1(/(5-1)
-6/4
-3/2
Answer:
4
Step-by-step explanation:
i did khan :)
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
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factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
