Answer:
3 ways
Step-by-step explanation:
How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.
We solve using combination
n-1 C r-1 = nCr = n!/r! (n - r)!
n = 4 identical marbles
r = 3 jars
Hence:
4 - 1 C 3 - 1 = 3C2
= 3!/2! (3 - 2)!
= 3 ways
I need help fast!!!
Johan is buying 3 tickets for each of 2 movies. Each ticket costs $11.75. How much money will Johan spend?
Answer:
Johan spends $70.50.
Step-by-step explanation:
3 * 2 * 11.75 = 70.50
Write an equivalent expression. 1/3(12x+6x-21)=
Answer:
Step-by-step explanation:
1/3(12x+6x-21)
Take 1/3 of everything in the ()
4x+2x-7 combine like terms
6x-7
The equivalent expression is 6x - 7
Given the function 1/3(12x+6x-21), to get the equivalent expression, we will open the parenthesis using the distributive law;
= 1/3(12x+6x-21)
= 1/3(12x) + 1/3(6x) - 1/3(21)
= 4x + 2x - 7
On simplification, the resulting expression will be:
= 6x - 7
Hence the equivalent expression is 6x - 7
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how many solutions to this problem
in my opinion i think there is twooo
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
–10
–7
–5
3
15
24
Answer: -10,-5,3,15
A,C,D,E
The next one is a= -5, b=1, c=-5, d=-12
The last one is 3 & 4
The rational root theorem is used to determine the potential roots of a function.
The potential roots are: [tex]\mathbf{-10, -5, 3, 15}[/tex]
The function is given as:
[tex]\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}[/tex]
For a polynomial function:
[tex]\mathbf{P(x) = px^n +.............+ q}[/tex]
The potential roots are:
[tex]\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
The factors of 60 are:
[tex]\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The factor of 1 is:
[tex]\mathbf{1 = \pm 1}[/tex]
So, we have:
[tex]\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}[/tex]
[tex]\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The potential roots in the option are:
[tex]\mathbf{Factors= -10, -5, 3, 15}[/tex]
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Helppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz
Answer:
These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.
To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.
x+50 = 3x-100 - now all we need to do is solve for x:
x+50 = 3x-100
50=2x-100
150=2x
75=x
x=75
Step-by-step explanation:
Rita rolled a die 25 times. Her results are shown in the table attached:
1. What is the experimental probability P(2)?
2. What is the experimental probability P(4)?
3. What is the experimental probability of rolling a 2 or a 3?
4. What is the experimental probability of rolling an even number?
5. What is the theoretical probability of rolling an even number?
6. Find the experimental probability P(1, 2, 3, 4, 5, 6).
7. Find the theoretical probability P(1, 2, 3, 4, 5, 6).
Answer:
I have the same questions and I got them right
Step-by-step explanation:
1.) P(2)=4/25
2.) P(4)= 5/25= 1/5
3.) P(2,3)=5/25= 1/5
4/25+1/25= 5/25= 1/5
4.) P(2,4,6)=16/25
4/25+ 5/25+ 7/25= 16/25
5.)There are three even numbers so, 3/6= 1/2. So, 1/2.
6.) P(1, 2, 3, 4, 5, 6)= 25/25 = 1
6/25+ 4/25+ 1/25+ 5/25+ 2/25+ 7/25= 25/25 = 1
P(1)= 6/25 P(2)= 4/25 P(3)= 1/25 P(4)= 5/25 P(5)= 2/25 P(6)= 7/25
Fitta spends 25 minutes on his rowing machine everyday, except for the weekends. How long will Fitta spend on his rowing machine in four weeks? Give your answer in hours and minutes. *
Answer:
25×20×60 =30000
30000/60=500 hours
Answer:
8 hours and 20 minutes
Step-by-step explanation:
There are 5 days a week and Fitta spends 25 minutes each day.
25 x 5 = 125 minutes a week
125 x 4 = 500 minutes in 4 weeks
There are 60 minutes in an hour, so 500 divided by 60 = 8.3333
So the results are 8 hours and 20 minutes
Please I need help: Find a number greater than 1 and less than 1000 that is both a perfect square and a perfect cube.
Answer:
64
Step-by-step explanation:
someone help lolz..
452 divided by 7 with remaining
Answer: The answer is 64 remaining 5.
Step-by-step explanation:
Answer:
65 with a remaining of 1
Step-by-step explanation:
Please help show your work and 20 points.
Answer:
B. 439.82cm^2
Step-by-step explanation:
A=2[tex]\pi[/tex]rh +2[tex]\pi[/tex][tex]r^{2}[/tex]
A= 2[tex]\pi \\[/tex]5(9) + 2[tex]\pi[/tex][tex]5^{2}[/tex]
A=439.82 cm^2
Answer:
B. 439.82
Step-by-step explanation:
A=2πrh+2πr2
A=2(pi)(5)(9)+2(pi)(5) squared
A=282.74+152.07
A=439.8
-have a nice day
How do you give someone Brainliest.
Answer:
Once 2 people answer there will be a crown at the bottom right hand corner of both questions. Then once you click on one they get 6 extra points and brainliest answer for that question. Only one person can have it so choose wisely. Have a nice day! (would appreciate brainliest!)
Answer:
If two people answer a question, the person who asked the question has the option to give brainliest to one person out of the two. Hope this helped! May I have Brainliest?
Step-by-step explanation:
Parallel lines m and n are intersected by transversal t. The measure of angle 1 in the diagram below is 112 degrees.
Which of the following angles also measure 112 degrees? select ALL that apply
A. Angle 2
B. Angle 3
C. Angle 4
D. Angle 5
E. Angle 6
F. Angle 7
Answer:
Step-by-step explanation:
The answer will be c if not then a
The value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Supplementary angles are the angles having a sum of 180 degrees.
∠1 + ∠4 = 180
112 + ∠4 = 180
∠4 = 180 -112= 68°
Vertically opposite angles are always equal.
∠4 = ∠2
∠2 = 68
Vertically opposite angles are always equal.
∠1 = ∠3
∠3 = 112°
Therefore, the value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
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ANSWER ASAP
540 students bought lunch in the cafeteria. If 45% of the students bought lunch in the cafeteria, how many students ate lunch altogether? The number of students who at lunch altogether is students.
Answer:1,200 students
Step-by-step explanation:
540/45=12=1%
12*100=1,200
Assassins on a rate of 29.6 ft./s if a building is 1450 feet tall how long would it take for an elevator to travel from the ground floor to the roof
Answer:
1450/29.6 = 49 seconds
Step-by-step explanation:
have a good day but please give me a brainliest
the diagonals of a rhombus are _____. A. perpendicular B. sometimes equal C. parallel D. never congruent
Answer:
The answer is perpendicular
Step-by-step explanation:
Hope i helped :)
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
If Granny Apples charge $12 for 6 pounds of apples and Wilson' Apples charges $15 for 5 pounds of apples then which apple company provides a better deal? Explain how you got your answer.
Given:
Granny Apples charge $12 for 6 pounds of apples.
Wilson' Apples charges $15 for 5 pounds of apples.
To find:
Which apple company provides a better deal.
Solution:
We need to compare unit price of both companies.
[tex]\text{Unit price}=\dfrac{\text{Total price}}{\text{Number of units}}[/tex]
Unit price of Granny Apples,
[tex]\text{Unit price}=\dfrac{\$12}{6}[/tex]
[tex]\text{Unit price}=\$2[/tex]
Unit price of Wilson Apples,
[tex]\text{Unit price}=\dfrac{\$15}{5}[/tex]
[tex]\text{Unit price}=\$3[/tex]
Since, per unit price of Granny Apples is less than Wilson Apples, therefore Granny Apples provides a better deal.
A plumber is connecting pipes in the shape of a triangle. Which of the following pipe lengths could form a triangle?
15,6,5
13,12,5
40,20,10
19,16,2
Answer: 13,12,5
Step-by-step explanation:
According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.
since [tex]6+5 =11 \ngtr 15[/tex]
[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]
Only pipe lengths with measure 13,12,5 can form triangle as
13+12 >5
12+5>13
13+5>12
Hence, the correct option is 13,12,5.
Which set of ordered pairs does not represent a function?
{(0,9),(-1,-2), (-5,2), (-3,0)}
{(0, -6),(-6,5), (4,5), (5,7)}
{(0,8),(-7, -1), (4,8), (1,5)}
{(4, -6), (9, – 7), (9,-4), (6,3)}
Answer:
{(4, -6), (9, – 7), (9,-4), (6,3)}
Step-by-step explanation:
It doesn't represnt a function because the 9 repeats twice
Given the figure above, if
Answer:
No solution
Step-by-step explanation:
This is incorrect, either figure itself or the angle measures
See the attached to understand it
As it is there is no solution
A 1622 kg car has a speed of 11.3 m/s when
it hits a tree. The tree doesn't move and the
car comes to rest.
Find the change in kinetic energy of the car. .
Answer in units of J.
The change in kinetic energy of the car is -83439.06 joules.
How to find change in kinetic energy?The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.
Since the car comes to rest after hitting the tree, its final kinetic energy is 0.
The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
Plugging in the values, we get:
KE = 1/2 × 1622 kg × (11.3 m/s)²
KE = 1/2 × 1622 kg × 128.69 m²/s²
KE = 83439.06 kg m²/s²
To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².
The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².
Therefore, the car's kinetic energy dropped by -83439.06 joules.
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Splitting the atom proved the equation E = MC 2 , which was formulated by the mathematician
Choose...
.Isaac Newton
.Kepler
.Aristotle
.Albert Einstein
9514 1404 393
Answer:
Albert Einstein
Step-by-step explanation:
Einstein formulated the special and general theories of relativity, completely revising the laws of physics that had been accepted up to that point in time. Among many results was the equation saying matter and energy are the same thing:
[tex]E = mc^2[/tex]
find the x-intercept and y -intercept 4x-7y=8
Answer:
x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
4x - 7(0) = 8 , that is
4x = 8 ( divide both sides by 2 )
x = 2 ← x- intercept
To find the y- intercept , let x = 0 in the equation and solve for y
4(0) - 7y = 8, that is
- 7y = 8 ( divide both sides by - 7 )
y = - [tex]\frac{8}{7}[/tex] ← y- intercept
BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
Answer:
32 days is my final answer
Step-by-step explanation:
Ahmya bought $10 shirt. Spent 1/2 remaining money for dinner. Bought $4cofee, spent 1/4 of remaining money on souveniers. How much did she start with?
Answer:
The amount she started with $20
Step-by-step explanation:
Let the amount Ahmya started with = x
when she bought $10 shirt, the remaining money is = x - 10
she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]
amount left after this = [tex](\frac{x- 10}{2} )[/tex]
she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4
she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]
amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]
The two last fractions should sum up to 1;
[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]
x = $20
Therefore, the amount she started with $20
Which of the following situations could be represented by the expression - 14+ (- 7)?
A Matt owes $14 to his mom and $7 to his friend.
Melissa made $14 at her job and spent $7 on lunch.
Rafique scored 14 points on Tuesday and 7 on Wednesday.
D
Katrina dove 14 feet down in the water and then went up 7 feet.
Answer:
Matt's
Step-by-step explanation:
he has to give away $14 (-14)
and also $7 (-7)
The others have positive numbers.
simplify the given rational expression: x-2 x²-4
Answer: 1/(x+2)Step-by-step explanation:=(x-2)(1)/(x-2)(x+2) cancel (x-2)=1/(x+2)
Step-by-step explanation:
Plz help I don’t know the answer