Answer:
12
Step-by-step explanation:
The numbers of choices for each of B, C, D are independent of the choices the predecessors have made. It is clear where the car's owners will sit, so all we have to care about is where we put the other people. There are 16−4=12 places left in the cars, so there are 12!
there are 37,747,920,000 ways the soccer team can be taken to the match.
Let's break down the problem step by step to calculate the number of ways the soccer team can be taken to the match:
Step 1: Select the drivers for the cars.
There are 4 cars, and the owners of the cars will be the drivers. We need to choose 4 drivers from the 16 people, and this can be done using combinations. The number of ways to choose 4 drivers out of 16 is denoted as C(16, 4), which can be calculated as follows:
C(16, 4) = 16! / (4! * (16-4)!)
C(16, 4) = 16! / (4! * 12!)
C(16, 4) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1)
C(16, 4) = 1820
There are 1820 ways to select 4 drivers for the cars.
Step 2: Assign passengers to the cars.
After selecting the drivers, each driver will take 3 other players as passengers. Since there are 3 passengers for each driver, we can calculate the number of ways to assign passengers to the cars using combinations again.
Number of ways to assign passengers to one car = C(12, 3) = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = 220.
Since there are 4 cars, the total number of ways to assign passengers to the cars is 220^4 = 20,736,000.
Step 3: Combine the driver selection and passenger assignment.
To find the total number of ways the soccer team can be taken to the match, we need to multiply the number of ways to select the drivers (1820) by the number of ways to assign passengers (20,736,000):
Total number of ways = 1820 * 20,736,000 = 37,747,920,000.
So, there are 37,747,920,000 ways the soccer team can be taken to the match.
Learn more about combination here
https://brainly.com/question/12538996
#SPJ2
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
2.
Step-by-step explanation:
If it was 14, 24.5, or 28, that side of the trapezoid would've been much longer.
Answer:
I believe your answer would be 2
Step-by-step explanation:
Using the same method as I explained in your previous triangle question I assumed the bigger quadrilateral is an expanded version of the smaller one.
Step 1:
Divide 14 by 4
14/4=3.5
Step 2:
Divide 7 by your 3.5
7/3.5=2
This means that the side of x should be 2 because each side is squished by a factor of 3.5 and expanded by this factor to get to the big shape.
Hope this helps! :)
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches.
A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches.
The resulting parallelogram has a base of approximately 9.22 inches.
Complete the following steps to calculate the altitude of the parallelogram using area methods.
The area of the sheet of paper is
square inches.
The combined area of the triangle cutouts is
square inches.
The area of the parallelogram is
square inches.
The altitude of the parallelogram rounded to two decimals is
square inches.
The area of a shape is the amount of space it occupies.
The area of the paper is 96 square inchesThe combined area of the triangle cutouts is 36 square inchesThe area of the parallelogram is 60 square inchesThe altitude of the parallelogram is 6.51 inchesThe area of the paperThe dimension of the paper is given as: 12-inch by 8-inch
So, its area is:
[tex]Area = 12 * 8[/tex]
[tex]Area = 96[/tex]
Hence, the area of the paper is 96 square inches
The area of the trianglesThe dimensions of the 4 right triangles are: Two 2 inches by 9 inches, and two 3 inches by 6 inches
So, the combined area is:
[tex]Area = 0.5(2 * 2 * 9 + 2 * 3 * 6)[/tex]
[tex]Area = 36[/tex]
Hence, the combined area of the triangle cutouts is 36 square inches
The area of the parallelogramThe area of the parallelogram is the difference between the areas of the paper and the four right triangles.
So, we have:
[tex]Area = 96 - 36[/tex]
[tex]Area = 60[/tex]
Hence, the area of the parallelogram is 60 square inches
The altitude of the parallelogramThe base is given as 9.22
So, we have:
[tex]Area = Base * Altitude[/tex]
This gives
[tex]60 = 9.22* Altitude[/tex]
Divide both sides by 9.22
[tex]Altitude = 6.51[/tex]
Hence, the altitude of the parallelogram is 6.51 inches
Read more about parallelograms at:
https://brainly.com/question/4459854
Answer: The area of the paper is 96 square inches
The combined area of the triangle cutouts is 36 square inches
The area of the parallelogram is 60 square inches
The altitude of the parallelogram is 6.51 inches
Step-by-step explanation:
The cost per minute of a conference phone call, originally $2. 80, increased by 20%. What is the new price? $3. 00 $3. 20 $3. 26 $3. 36.
Answer:
3.36
Step-by-step explanation:
.20 x 2.80 = .56
2.80 + .56 = 3.36
I need help! really help!
Answer:
B and I
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
etc.
12 x 3 = 36
A 20 foot ladder leans against the a house forming a 75° angle with the house. Exactly how far is the base of the ladder from the house?
Check the picture below.
Make sure your calculator is in Degree mode.
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles
To solve this problem, we simply need to convert the distance
Conversion of UnitsLike we already established earlier, we just need to convert the distance unit from miles to inches
But given that
[tex]1mi = 63360in[/tex]
Let us find how many inches will be in 65 miles.
In this case, simply multiply 65 by 63360 to find the actual distance in inches.
[tex]65 * 63360 = 4118400in[/tex]
The distance on her map will be 4118400 inches on her map.
Learn more on conversion of unit here;
https://brainly.com/question/8426032
A bridge has 45, -45, -90 right trangular supports. If the hypotenuse of each support is 16 ft, find the length of each leg of a support. PLS HELP ASAP
Answer:
16, 11.314, 11.314
Step-by-step explanation:
You can get this answer because we know that a 45, 45, 90 triangles formula (aka The Pythagorean Theorem) is:
a^2+b^2=c^2
Hope this helps :D
What equivalent ratios goes with 40:28
Answer:
The answer should be 10:7.
Hey there!
40:28
= 40 ÷ 2 : 28 ÷ 2
= 20 : 14
= 20 ÷ 2 : 14 ÷ 2
= 10 : 7
Therefore, your answer is: 10:7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write the slope-intercept form of the equation of the line (1,-4) with a slope of -2
Answer:
B
Step-by-step explanation:
General equation
y = mx + b
m = the slope
b = the y intercept
Slope
y = -2x + b
y intercept
use the point to get the y intercept.
x = 1
y = - 4
Subsitute these values into the incomplete equation under slope
-4 = -2(1) + b
-4 = - 2 + b Add 2 to both sides
-4+2 = b
b = - 2
Answer
y = -2x - 2
Answer:
y = -2x - 2
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (1,-4)
y - y1 = m (x - x1)
y - (-4) = -2 (x - 1)
y + 4 = -2x + 2
- 4 - 4
y = -2x - 2
To check our answer, I attached the graph.
If someone can help I would appreciate it
Answer:
x = 23
( x + 16 ) + ( 3x - 1 ) + 6x + 5x = 360°
x + 3x + 6x + 5x + 16 - 1 = 360°
15x + 15 = 360°
15x = 360° - 15
x = 345 ÷ 15
x = 23
Pls help thx
I WILL PICK THE BEST ONE
Answer:
a) 0.11
b) 60
Step-by-step explanation:
a)
Probability that a 3 will be rolled = frequency of 3 / total frequency
frequency of 3 = 11
total frequency = 100; 12 + 35 + 11 + 23 + 7 + 12 = 100
= 11/100
= 0.11
Answer: 0.11
b)
Probability of getting 6 = 12/100 = 0.12
Now, the dice is rolled over 500 times:
total times = 0.12 × 500
= 60 times
Answer: 60
help imma need those answers
Answer:
y=1/2x
Step-by-step explanation:
It looks like it
The base of an isosceles triangle is 30” and the altitude to that base is 8”. Find the length of one of
the two equal sides of the triangle.
please help!
Answer:
17"
Step-by-step explanation:
Isosceles means there are two equal sides in this triangle.
So the height not only is perpendicular to the base, but also cuts the base in half.
Each half is 15 inches. (30÷2=15) See image.
These half triangles formed by the height, are right triangles. You can use Pythagorean theorem or if you're familiar with the pythagorean triple 8, 15, 17, you will find the length of the side is 17 inches. See image.
help for brainiest asap pleaseeeeee
Answer:
angle A = 45°
angle B = 110°
angle C = 25°
Answer:
i hope this will help uh.
10. 8 fewer than the sum of 14 and a number
Answer:
6 +x
Step-by-step explanation:
Let the number = x
Sum of 14 and a number = 14 +x
8 fewer than (14 + x )= 14 + x - 8 = 6 +x
Answer: 14 + x - 8 (can also be 6 + x)
Step-by-step explanation:
8 fewer means we're subtracting 8, which is -8
Sum of 14 and a number would be 14 + x
All of this combined would be 14 + x - 8 but if you want to simplify it, you can subtract 8 from 14 and get 6. This would be 6 + x.
Help ????????????????????????
Answer:
-2.5
Step-by-step explanation:
It is the answer of the first question.
Oscar bought a circular cover for his backyard spa with an area of 48 square feet. How can Oscar best determine the radius of the spa cover? A Divide 48 by , then take the square root of the quotient. B Take the square root of 48, then divide the quotient by T. C Multiply 48 byt, then multiply the product by itself. D Take the square root of 48.
Answer:
it is very hard questions but i give answer
A box of bananas was bought for $50 and was sold for a 15% loss. What is the selling price of the bananas?
Answer:
$42.50
Step-by-step explanation:
when you have a percent loss you can take that number and subtracted from 100 and get your percentage
you multiply the amount by 85 percent
so this means it is 50 titimes 0.85
this gives me $42.5
Plzzzzzz help meeeeee
Answer:
C
Step-by-step explanation:
The picture
Solve: 97 x 104. 270,000 87,000 9,700,000 6,700
Answer:
I got 10,088
Step-by-step explanation:
If that is Incorrect, I would pick 6,700 .
The graph of y = x2 – 4 is shown... What are the solutions to x2 – 4 = 0?
Solition for [tex]x^2-4=0[/tex] is [tex]\pm2[/tex]
Ans: x₁=-2; x₂=2
10. If R is the midpoint of QS, find QS.
Statement:
R is the midpoint of QS.
To find out:
The measure of QS.
Solution:
QR + RS = QSSince R is the midpoint of QS, then QR = RS.QR = 2x + 16, RS = 5x - 17.Therefore, 2x + 16 = 5x - 17or, 2x - 5x = -17 - 16or, -3x = -33or, x = -33 ÷ -3or, x = 11Therefore, QR = 2(11) + 16= 22 + 16 = 38So, QS = 2QR = 2 × 38= 76Answer:
QS is 76.
Hope you could understand.
If you have any query, feel free to ask.
What is division. Please explain it very well
Answer:
Division is the separation of something (a number) into equal parts.
Step-by-step explanation:
Division is the separation of something (a number) into equal parts. In other words, it's the opposite of multiplication, which is the repeated addition of something (a number).
Probably the best way to explain division is with an example. Say I want to compute the following:
10 / 2
"10" means I have 10, and the "/ 2 means" that I want to seperate 10 into equal groups of 2. To do that, I will count how many groups of 2 I can have in 10. 2, 4, 6, 8, and 10 make 5 equal groups of 2. Therefore,
10 / 2 = 5.
Division can also result in remainders, or leftovers after division. This is because somethimes, numbers don't divide evenly. Take for instance this example:
10 / 3
I know that 3 isn't a multiple of 10, but I can still attempt to divide it. 3, 6, 9, three groups ... wait ..., I have only 1 left. What do I do with this 1? Well, it is a remainder now because it is left over:
10 / 3 = 3 and a remainder of 1 ( or 3 r1).
I'm sorry if this is a bad explanation, but I am not a big fan of using visuals online when teaching math. Yet, I have done my best to explain what division is (in abstract form no less), and I hope you can figure it out if you haven't yet in the future.
Find the area and perimeter.
A^2 b 3a^2 a^2 4b
Answer: Area - 17a^2 b, Perimeter - 10a^2 + 10 b
Step-by-step explanation:
To find the area, we can divide the figure into 3 separate rectangles.
Then, we find the area of each separate rectangle and add them together.
Area = a^2b + a^2b + 15a^2b
Area = 17a^2 b
The perimeter is the sum of all sides
Perimeter = a^2 + b + 3a^2 + b + a^2 + 4b + 5a^2 + 4b
Perimeter = 10a^2 + 10 b
Just need help with the problems that have X’s next to them.
Answer:
Here's the ones I got so far
Step-by-step explanation:
38% of 250 = 95
7.5(3 * 7 + 4) = 187.5... x = 7
28 + x > 42... X can be 67, 96, 54
380 / 5 = 76 each hour
3 gallons of gas for 1 hour, 3 x 15 hours = 45 gallons
COP = 0.75, havent found rule, if i do ill comment
shaded triangle = 40..... 8 × 10 / 2= 40... explanation: a triangle (right in this case) would be divided by 2 because its half of a square / rectangle.
Please help I attached a photo.
Answer:
55w + 145
Step-by-step explanation:
Total = all accounts, so you have to add 10w to 45w, and 120 to 25
10w + 45w = 55w
120 + 25 = 145
So the answer is 55w + 145
If I multiply my age in six years' time by three, the resulting age is my mother's age now. If my
mother is currently 48 years old, how old am I?
Answer:
I think 30
Step-by-step explanation:
I don't know I could be wrong
Answer:
10
Step-by-step explanation:
let your current age be x.
mother's age=48
3(x+6)=48
3x+18=48
3x=30
x=10
Please help me!!! Bsbebabnababwbabs
Step-by-step explanation:
since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.
but that also means that both angles, Q and S, are identical too.
so,
2x² = 3x² - 64
64 = x²
x = 8
and therefore, both angles are 128°.
someone smart please help and get it right offering 100 points
Answer:
2.8
Step-by-step explanation:
By the angle bisector theorem, [tex]\frac{AC}{AB}=\frac{CD}{DB}.[/tex] Plugging in the values from the diagram gives:
[tex]\frac{5.8}{5.5}=\frac{3}{?}.[/tex]
Solving gives
[tex]?=(3\cdot 5.5)/5.8\\\approx 2.8[/tex]
Triangle QRS ~ Triange TUV. solve for x and y
Answer:
x = 20, y = 3
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{TU}{QR}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )
[tex]\frac{x}{4}[/tex] = [tex]\frac{30}{6}[/tex] = 5 ( multiply both sides by 4 )
x = 20
and
[tex]\frac{QS}{TV}[/tex] = [tex]\frac{RS}{UV}[/tex] ( substitute values )
[tex]\frac{y}{15}[/tex] = [tex]\frac{6}{30}[/tex] ( cross- multiply )
30y = 90 ( divide both sides by 30 )
y = 3