Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make

Answers

Answer 1

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

They can make 10 different groups of three.


Related Questions

The TV you want to buy costs $230.56 dollars but there is a 10 percent discount. You have $210.00 Can you buy it? Explain your reasoning.​

Answers

Answer:

Yes you can by the tv.

Step-by-step explanation:

When you take the 10% off, it cost exactly 210 dollars

What is the estimated probability that at least two of the puppies will be
female?
O A. 5/10 = 50%
O B . 8/10 = 80%
O C. 3/10 = 30%
O'D. 7/10 = 70%​

Answers

Bubble B. 8/10 80%
.....
B is the answer!!!!!!!

What's the length of AB?​

Answers

Use the pythagorean theorem to solve this: a^2 + b^2 = c^2.
You already have a and b which are 3 and 4. Square them up and you will get 9 + 16 = c^2.
Add.
25 = c^2
Lastly, square root both sides.
5 = c
The length of AB is 5.

A company made a poster of da Vinci’s painting. The poster is 5 feet long and 3.5 feet wide. Is the poster similar to the original Mona Lisa? Explain.

Answers

No, The mona Lisa isnt 5 feet long

Answer:

yes it is similar to the original

Step-by-step explanation:

How many triangles can be constructed with angles measuring 10°, 30°, and 90° ?​

Answers

Is there a picture? To it

Answer:

There are an infinite number of triangles which can be constructed with angles measuring this.

There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measur

A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .

What is the perimeter, in units, of triangle ABC ? Round your answer to the nearest tenth.

Answers

Answer:

22.4 units

Step-by-step explanation:

A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .

We solve for the units

Therefore perimeter, in units, of triangle ABC is 22.4 units

Simplify the following expression:
(i-3) +6i-3(8 - i)

Answers

Answer:

10i-27

Step-by-step explanation:

(i-3)+6i-3(8-i)

(i-3)+6i-24+3i

(i-3)+9i-24

10i-3-24

10i-27

Answer:

-27 + 10i

Step-by-step explanation:

What is the perpendicular slope of m= -3/2

Answers

Answer:

-2/3

Step-by-step explanation:

Write the system first as a vector equation and then as a matrix equation.
2x1 + x2 - 3x3 = 6
3x2 + 10x3 = 0
Write the system as a vector equation where the first equation of the system corresponds to the first row.
A. x1 + x2 + x3=_____.
B. [x1 x2 x3] =____.
C. [x1
x2
x3] = ____.
Write the system as a matrix equation where the first equation of the system corresponds to the first row.

Answers

Answer:

x3 is 60 and 30 x53,x3,552,5 0,35 /443,/4

Step-by-step explanation:

there

2.14a
+1.b25
______
c.865

how do I solve this and what are the answers for a. b. and c.

Answers

Answer:

a=0, b=7, c=3

Step-by-step explanation:

Addition

The following addition is shown, where a,b, and c are unknown:

 2.14a

+ 1.b25

-------------

  c.865

We'll determine the values of the unknown variables by following the rules of addition.

The last column shows a+5=5. Since a cannot be greater than 9, thus a must be 0.

a = 0

This sum produces no carry.

Now we have 4 + 2 = 6

This is already correct and no variable needs to be calculated

Now we have 1 + b = 8. This leads to b=8-1=7

b = 7

This sum produces no carry.

Finally: 2 + 1 = c. This implies that

c=3

Substituting in the addition:

 2.140

+ 1.725

-------------

  3.865

Simplify the following Expression by combining like terms: *
8x2 - 7x – 8 - 11 + 3x2 + 4x

Answers

Answer:

option 2

Step-by-step explanation:

Mr Dyson bought 5 gallons of paint. He used 3/4 of the 5 gallons to paint his house how much paint did mr dyson use?

Answers

Answer:

3.9

Step-by-step explanation:

each gallon is 1.3

PLZ HELP
WILL GUVE BRAINLIEST IF CORRECT

Answers

Answer:

the answer is A

Step-by-step explanation:

so the numbers are just a fill in but yes the answer is A

How many different triangles can you make if you are
given these three measurements for angles?
25
120°
35
00
с
0
1
2
3
(infinitely many)

Answers


Or is already said we could also use that italicize lowercase M or other such letters to another important word to know your work

4x^2−4x+10 and 2x^2+5x-82x^2+5x−8.

Answers

2(2x^2-2x+5) and 2(40x^2-5x+4)

Step-by-step explanation:

Answer:

4x^2−4x+10 = 2(2x^2−2x+5)

2x^2+5x-82x^2+5x−8 = 2(−40x^2+5x−4)

Step-by-step explanation:

4x^2−4x+10

Factor 4x^2−4x+10

4x^2−4x+10

=2(2x^2−2x+5)

2x^2+5x-82x^2+5x−8

Factor 2x^2+5x−82x^2+5x−8

−80x^2+10x−8

=2(−40x^2+5x−4)

How do I graph the solution

Answers

Make the circle closed and the > needs to be underlined

GCF of 20 and another number is four. Which of these could be the other number

Answers

Answer:

36

Step-by-step explanation:

4 x 9=32

Answer:

5

Step-by-step explanation:

GCF of 20 is 5 and 4. Let's look at our information, we have one of the GCF (Greatest Common Factor) which is 4. We can divide 20 by 4 to get our answer of 5. To check your work you can also multiply 4 and 5 to get 20.

Hope this helped have a great day! :)

If I helped would you mind giving me brainliest? Please and thank you!

What music selection is played by the United States Marine Band at the beginning of the swearing in ceremony at the Joe Biden Inauguration?​

Answers

Answer

HIIIII

Step-by-step explanation:

An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is 730°C and it cools at a rate of 2.95% per minute, find the object's temperature after 18.0 minutes.

Answers

Answer:

The object's temperature after 18 minutes is of 426ºC.

Step-by-step explanation:

The temperature after t minutes is modeled by an exponential function, which has the following format:

[tex]T(t) = T(0)(1-r)^{t}[/tex]

In which T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Its initial temperature is 730°C and it cools at a rate of 2.95% per minute

This means that [tex]T(0) = 730, r = 0.0295[/tex]. So

[tex]T(t) = T(0)(1-r)^{t}[/tex]

[tex]T(t) = 730(1-0.0295)^{t}[/tex]

[tex]T(t) = 730(0.9705)^{t}[/tex]

Find the object's temperature after 18.0 minutes.

This is [tex]T(18)[/tex]. So

[tex]T(t) = 730(0.9705)^{t}[/tex]

[tex]T(18) = 730(0.9705)^{18} = 426[/tex]

The object's temperature after 18 minutes is of 426ºC.

The required value of the object's temperature after 18.0 minutes is 425.83.

Given that,

An object's temperature cools exponentially after it is removed from a furnace (hot oven).

If its initial temperature is 730°C and it cools at a rate of 2.95% per minute,

We have to determine,

Find the object's temperature after 18.0 minutes.

According to the question,

The initial temperature is 730°C and it cools at a rate of 2.95% per minute,

The temperature after t minutes is modeled by an exponential function, which has the following format is,

[tex]= T(t) = T(0).(1-r)^t[/tex]

Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Then,

T(0) = 730°c and r = 2.95% = 0.0295

Substitute all the values in the equation,

[tex]= T(t) = T(0).(1-r)^t\\\\= T(t) = 730 \times (1-0.0295)^t[/tex]

Therefore,

The object's temperature after 18.0 minutes is,

[tex]= T(t) = T(0).(1-r)^t\\\\= T(18) = 730 \times (1-0.0295)^{18}\\\\= T(18) = 730 \times 0.5833\\\\ = T(18) = 425.8361[/tex]

Hence, The required value of the object's temperature after 18.0 minutes is 425.83.

To know more about Exponential Function click the link given below.

https://brainly.com/question/25678010

Jasmine evaluated the expression3x + 2when x= 5.
3x+2
35+2
37
Explain Jasmine's mistake.

Answers

Jasmine didn’t solve it right obviously

No, jasmine did not get it right, 3x+2=15. its not that hard to do. all you gotta do is multiple 3 with x then add 2 and you will get your answer

Alles Company uses a job costing system that applies factory overhead on the basis of direct labor dollars. No job was in process on February 1. During the month of February, the company worked on these three jobs:



Job Number
B10 C44 G15
Direct labor ($6/hour) $ 35,000 ? $ 10,500
Direct materials 43,000 62,000 ?
Overhead applied ? 22,000 5,250


During the month, the company completed and transferred Job B10 to the Finished Goods Inventory. Jobs C44 and G15 were not completed and remain in Work-in-Process at the cost of $158,650 at the end of the month. Actual factory overhead costs during the month totaled $40,000.


Required:

1. What is the predetermined factory overhead rate?

2. Compute the amount of underapplied or overapplied overhead for February.

Questions to answers are below:
Question 1:
What is the predetermined factory overhead rate? (round answer to 2 decimal places.)
Overhead rate____?____ per direct labor dollar.

Question 2:
Compute the amount of underapplied or overapplied overhead for February. (Do not round intermediate calculations.)
Overapplied overhead ____?_____.

Answers

Answer:

The labor force participation rate and the employment-population ratio were both unchanged over the month, at 61.5 percent and 57.4 percent, respectively. These measures are up from their recent April lows but are lower than in February by 1.8 percentage points and 3.7 percentage points, respectively.Jan 8, 2021

www.bls.gov › pdf › empsitPDF

Unemployment - Bureau of Labor Statistics

The sum of 3x^2 + 4x -2 and
x2 - 5x + 3 is
a. 4x2 + x - 1
b. 4x2 - X + 1
C. 4x2 + x + 1
d. 4x2 - X-1

Answers

Answer:4x2 -x + 1

Step-by-step explanation:

A quantity with an initial value of 3400 grows exponentially at a rate of 1.5% every 3 minutes. What is the value of the quantity after 1.65 hours, to the nearest hundredth?

Answers

Answer:

FV= 5,557.23

Step-by-step explanation:

Giving the following information:

Present value= 3,400

Growth rate (g)= 1.5% every 3 minutes

Number of periods (n)= (1.65*60) / 3= 33

To calculate the future value, we need to use the following formula:

FV= PV*(1+g)^n

FV= 3,400*(1.015^33)

FV= 5,557.23

10 Problem-solving A class of 27 students is split between boys and girls
in the ratio of 5:4.
Work out the probability that two students chosen at random are both boys.​

Answers

Answer:

15:27

Step-by-step explanation:

27 kids in the class and 15 boys

PLEASE ANSWER WILL MARK BRAINLIEST You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must move back three more spaces. On your third turn, you get to move forward three spaces. Which expression best shows how you could find your new spot on the game board?
ANSWER CHOICES
-5 + (-3) + (-3)


-5 + 3 + 3


-5 + (-3) + 3


5 + (-3) + (-3)

Answers

Answer:

-5 + (-3) + 3

Step-by-step explanation:

Answer:

-5 + (-3) + 3

Hope this helps :)

6. Represent each of the following elevations using a rational number. Then, order the numbers from least to
greatest
122 meters above sea level
Cayuga Lake
1,629 meters above sea level
Mount Marcy
New York Stock Exchange Vault
15.24 meters below sea level

Answers

Answer:

-15.24m ; 122 m ; 1629 m

Step-by-step explanation:

Representing the elevation of the Given monuments with rational numbers :

The sea level is regarded as a midpoint ; or zero level whereby points below are represented as negative while points above are represented as positive

Cayuga lake = 122 meters above sea level = + 122 meters

Mount Marcy = 1,629 meters above sea level = + 1629 meters

New. York stock exchange vault = 15.24 meters below sea level = - 15.24 m

Arranging from least to highest :

-15.24m ; 122 m ; 1629 m

X= square root of 10x-24

Answers

√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4

Please answer this correctly without making mistakes

Answers

5 tons and 8 lbs is i believe the answer

Answer:

5 tons and 8 pounds

Step-by-step explanation:

1 ton is equal to 2000 pounds.

40 tons is equal to 80000 pounds (40*2000)

80000+64=80064

80064/8 = 10008

10008 is equal to 10000+8

10000/2000 = 5

5 tons and the leftover 8 is pounds

Hope I was able to help! Good Luck!

Last semester, the alumni association raised $240 for activities. This semester, it raised 120% of last semester amount. How much did the alumni association raise for both semesters?
A.288
B.528
C.768
D.1056

Answers

Answer:

HOLY FUUUUUUUUUUUUUUUUUUUUCK

(write this in Ur note book)

Solve the following equation for x 9x - 18 = 81

Answers

Answer:

x= 11

Step-by-step explanation:

         or,   9x-18=81

         or,   9x=81+18

         or,   9x=99

         or,   x=99/9

         or,   x=11

Answer:

x=11

Step-by-step explanation:

9x−18=81

Step 1: Add 18 to both sides.

9x−18+18=81+18

9x=99

Step 2: Divide both sides by 9.

9x/9 = 99/9

 

Answer: x=11

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