please is there anyone who can solve it
Answer:
1/20
Step-by-step explanation:
So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24
Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.
So, 1/8*2/5=1/20
Therefore, Teddy ate 1/20 of the original pizza
There are 6 women and 9 men eligible to be in a committee of 5. Find the expected number of women on the committee given that at least one woman must be on the committee. Round the probabilities of the distribution to four decimal places or keep them as fractions. Round the answer to two decimal places.
Answer:
P = 0.2517
Step-by-step explanation:
In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)
P (at least one woman) = 6C1 * 9C4 / 15C5
we know that nCr = n! / (r! * (n-r)!)
replacing we have:
6C1 = 6! / (1! * (6-1)!) = 6
9C4 = 9! / (4! * (9-4)!) = 126
15C5 = 15! / (5! * (15-5)!) = 3003
Therefore it would be:
P (at least one woman) = 6 * 126/3003
P = 0.2517
That is, approximately 1 out of 4 women.
The inverse of F(x) is a function. True or false ?
Answer:
The answer is true......
Step 1: -10 + 8x < 6x - 4
Step 2: -10 < -2x - 4
Step 3: -6 <-2x
Step 4:
What is the final step in solving the inequality -2(5-
4x) < 6x - 4?
0x<-3
X > -3
0x<3
x > 3
Answer:
Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.
-6<-2x
-6/-2>-2x/-2
3>x
X<3 this is the answer.
Find the measure of angle b.
your answer_____
Answer:
b = 131
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
b+49 = 180
Subtract 49 from each side
b = 180-49
b =131
Answer:
Angle b is 131°
Step-by-step explanation:
Angles on a straight line add up to 180°
To find b add 49 and b and equate it to 180°
That's
b + 49 = 180
b= 180 - 49
b = 131°
Hope this helps you
What is the equivalent expression of 8x3 - 8?
Step-by-step explanation:
[tex]8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)[/tex]
The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)
How to arrive at the above expression
8x³ - 8 = 2³ x³ -2³
= (2x)³ - 2³
Using a³ -b³ = (a - b) (a² + ab + b²)
= (2x -2) ((2x)² + (2x) (2) + 2²))
= (2x -2) (4x² + 4x + 4)
= 2(x-1)(4x² + 4x + 4)
= 4(2x -2) (x² + x +1)
= 8 (x-1) (x² + x +1)
Learn more about expression at:
https://brainly.com/question/1859113
#SPJ2
When you take a picture with a 35mm camera, the image passes through the camera lens and is rotated and dilated onto the screen for viewing.
Answer:
That is true, but there is no question being asked.
the square root of 169
Answer:
The answer is 13
Step-by-step explanation:
You'll say what will you multiply by itself to give you 169.
It will be 13 times itself and it will be =169.
The mean age of 10 women in an office is 30 years old. The mean age of 10 men in an office is 29 years old. What is the mean age (nearest year) of all the people in the office?
Answer: 30 years
Step-by-step explanation:
From the question, we are told that the mean age of 10 women in an office is 30 years old. This means that the total ages of the women in the office will be:
= 10 × 30 years
= 300 years
Also, the mean age of 10 men in an office is 29 years old. This means that the total ages of the men in the office will be:
= 10 × 29 years
= 290 years
Since there are 10 men and 10 women in the office, the number of people in the office is: 10 + 10 = 20 people. Also, the total ages will be: 300 + 290 = 590 years.
The mean age (nearest year) of all the people in the office will then be:
= 590/20
= 29.5 years
= 30 years approximately
Please help with this 3a² = 27. Find a
Answer:
[tex]a = 3[/tex]
Step-by-step explanation:
[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]
Answer: 9
Step-by-step explanation:
First divide both sides by 3
[tex]a^2=9[/tex]
Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])
a = 9
Hope it helps <3
Edit: :o this is my 250th answer
Which is a sign of deductive reasoning?
A). Ali notices that a plant grows 2 inches each week. Nikki has a plant, so it must grow 2 inches each week.
B). Bruce asks his friends what kind of music they like best. They all say rock, so everyone in the world likes rock music best.
C). All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Answer:
C).
Step-by-step explanation:
In A and B they are making generalisations . Their deductions are not valid.
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answer:
[tex]\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}[/tex]
Step-by-step explanation:
Given that:
Kevin charges $10 plus $5 per hours
C = 5h + 10
To find:
The table of values for hours worked from 1 to 5.
Solution:
First of all, let us put h = 1 in the given equation:
C = 5 \times 1 + 10
C = 5 + 10 = $15
Now, let us put h = 2 in the given equation:
C = 5 \times 2 + 10
C = 10 + 10 = $20
Now, let us put h = 3 in the given equation:
C = 5 \times 3 + 10
C = 15 + 10 = $25
Now, let us put h = 4 in the given equation:
C = 5 \times 4 + 10
C = 20 + 10 = $30
Now, let us put h = 5 in the given equation:
C = 5 \times 5 + 10
C = 25 + 10 = $35
So, the table becomes each row incrementing h by 1:
[tex]\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}[/tex]
En una fábrica de pinturas cuentan con un tanque de pintura blanca y otro de pintura azul. El litro de pintura blanca cuesta 4 dólares y el litro de pintura azul, 7 dólares. Si se quiere mezclar ambas pinturas para llenar un tanque de 500 litros de capacidad y además se requiere que la mezcla no cueste más de 6 dólares ni menos de 5 dólares el litro. ¿Cuál de las siguientes inecuaciones te ayuda a calcular cuántos litros de pintura blanca, como máximo, debe tener la mezcla? ("x" representa la cantidad de litros de pintura blanca) 1. (4x + 7x)/500 > 5 2. 4x + 7(500 - x) > 5 3. 4x + 7x > 500 4. [4x + 7(500 - x)]/500 > 5
Answer:
Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].
Step-by-step explanation:
Esta situación puede ser descrita mediante una ecuación y una inecuación simultánea. La ecuación es de la capacidad del tanque, mientras que la inecuación es del coste unitario de la mezcla. Sean [tex]x[/tex] y [tex]y[/tex] las capacidades empleadas de pintura blanca y pintura azul en litros, entonces:
Capacidad del tanque (en litros)
[tex]x + y = 500\,L[/tex]
Coste unitario de la mezcla (en dólares por litro)
[tex]5\,\frac{USD}{L} < \frac{4\cdot x + 7\cdot y}{500} < 6\,\frac{USD}{L}[/tex]
Es decir:
[tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex]
Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].
Plz help me. Jose travels 34 miles from home to work on a daily basis. If she takes up a job that is 1 and 1/2 times as far as her old job, how many miles would she be traveling? Solve the problem. You MUST explain your reasoning.
Answer:
I think it is either 85 or 51 because the question was not specific
Step-by-step explanation:
I am not entirely sure if you mean Jose changed jobs or added a new job on top but i will do both.
34/2=17
17+34=51
OR
51+34=85
Answer:
51 miles.
Step-by-step explanation:
That would be 34 * 1 1/2
= 34 * 3/2
= 17 * 3
= 51 miles.
Solve the equation. 12x – 14 = –2
Answer:
X=1
Step-by-step explanation:
12x-14=-2
+14 +14
12x=12
x=1
Answer:
x = 1
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 14 to both sides:
12x - 14 = -2
12x - 14 (+14) = -2 (+14)
12x = -2 + 14
12x = 12
Next, divide 12 from both sides:
(12x)/12 = (12)/12
x = 12/12
x = 1
x = 1 is your answer.
~
Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it take for Erin to run 25 miles?
The correct answer is c. 2 [tex]\frac{1}{2}[/tex] hours
Explanation:
The graphic shows the relationship between the distance Erin covers by running and the time this requires. Additionally, to know the specific time that takes for Erin to run a specific distance or vice versa it is necessary to observe at which point the two variables intersect in the line of the graph.
According to this, Erin runs 25 miles (y-axis) in 2.5 hours (x-axis), which you can know because in the line shown by the graph the distance 25 miles that is in the middle of 20 and 30 miles intersects with 2.5 hours or the middle between 2 and 3. Additionally, this number can be expressed as 2 and a half hours, 2.5 or even 2 [tex]\frac{1}{2}[/tex] hours because the fraction represents half. This makes option C the answer.
plz help me 6.5(a - 4)
Answer:
6.5a-26
Step-by-step explanation:
You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26
Answer:
6.5a-26
Step-by-step explanation:
We are given the expression:
6.5(a-4)
If we want to simplify this expression, then we must use the distributive property.
To distribute, multiply each term inside the parentheses by the number outside the parentheses.
(6.5*a) + (6.5*-4)
Multiply
6.5a+ (6.5*-4)
6.5a+ -26
A +- can be written as just -
6.5a-26
I need help with this problem ASAP please i have until tmrw to finish my course entirely so if anyone can help it would be greatly appreciated
Answer:
Equation: f(x) = -x² + 3
Step-by-step explanation:
If we want to find the roots/solve for x, we can either graph the problem or use quadratic formula to find when f(x) = 0:
To get the equation of the graph, our parent function is: f(x) = a(x - h)² + k, or f(x) = x². Since we are reflecting over the x-axis with a vertical stretch and vertically moving up to (0, 3), we are modifying a and k only.
PLEASEEEEEE HELP MEEEEE 100 points!!!!!!!!!!!! The map shows the location of a mall, library, and school in a city: Coordinate grid shown from negative 12 to positive 12 on x axis at intervals of 2, and negative 12 to positive 12 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 10, 10 , Mall is the ordered pair 10, 10, and School is the ordered pair 10 and negative 11. Sarah traveled from the school to the mall and then from the mall to the library. Bret traveled from the school to the library. How many miles did Sarah and Bret travel altogether? (1 point) Select one: a. 12 miles b. 29 miles c. 41 miles d. 70 miles
Sarah: School to mall = 21
mall to library = 20
Total distance for Sarah = 20 + 21 = 41 miles.
Use the Pythagorean theorem to find the distance Bret traveled:
Distance = SQRT(21^2 + 20^2)
= sqrt(441 + 400)
= sqrt(841)
= 29 miles
Total distance = 41 + 29 = 70 miles
Answer is D. 70 miles.
Answer:
70
Step-by-step explanation:
i took the test
A SQUARE CARPET IS LAID IN ONE CORNER OF A RECTANGULAR ROOM, LEAVING STRIPS OF UNCOVERED FLOOR 2M WIDE ALONG ONE SIDE AND 1M ALONG OTHER . THE AREA OF THE ROOM IS 56m SQUARED .FIND THE DIMENSIONS OF THE CARPET
Answer:
Step-by-step explanation:
A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m
Since the area of the room is 56m², it means that
(x + 2)(x + 1) = 56
x² + x + 2x + 2 = 56
x² + 3x + 2 - 56 = 0
x² + 3x - 54 = 0
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
x - 6 = 0 or x + 9 = 0
x = 6 or x = - 9
Since the dimension of the carpet cannot be negative, then x = 6
The dimension of the carpet is 6m × 6m
Which of the following equations is not linear?
A. 13x - 12y = 82
B. -6x = y
C. 7 = y
D. y = x² - 2
Answer:
I think its A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The graph would be a curve because of the exponent.
PLEASE HELP ASAP!:
Solve for a and b
6a-b=-5
4a-3b = -8
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in a to find b
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.007x2 + 0.003.x
How long, in seconds, will it take the computer to sort 15 objects?
Answer:
it will take 0.056025 seconds to complete
Step-by-step explanation:
Here, we want to know the amount of time it will take. the computer to sort 15 items.
What to do here is simply substitute the value of 15 for x
Thus, we have
t = 0.007(15)^2 + 0.003(15)
t = 0.011025 + 0.045
t = 0.056025
answer: 1.62
step-by-step explanation: apx :)
EXTRA POINTS The amount of people diagnosed is 3,131,953 and the amount of deaths is 132,056 what is the percentage of people who die from the disease?
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Answer:
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Step-by-step explanation:
how to do this question plz
Can someone please help me I really need help please help me thank you
Answer:
m = ½; b = 0
Please mark my answer as brainliest
the equation can be written y=mx+d.so
m=1/2 and d=3
Find the value of X in the figure PQ is tangent to O at P
Answer:13
Step-by-step explanation:
Leon is helping his baby sister Daphne eat her dinner. There are 12 peas left in Daphne's bowl and 7 peas squished in her hair. What is the ratio of peas in Daphne's bowl to peas in her hair? A. 12 for every 7 B. 7 for every 12 C. 7 for every 19 D. 19 for every 7
Answer:
A. 12 for every 7 or 12:7
If the question had asked for ratio of peas in her hair to those in the bowl that would be 7 for every 12 or 7:12
Answer:
12:7
Step-by-step explanation:
A
Solve for x. Write both solution, separated by a comma. 9x^2+6x-8=0
Answer:
x = -4/3, 2/3
Step-by-step explanation:
Step 1: Factor
(3x + 4)(3x - 2) = 0
Step 2: Find roots
3x + 4 = 0
3x = -4
x = -4/3
3x - 2 = 0
3x = 2
x = 2/3
Answer:
x₁ = -4/3
x₂ = 2/3
Step-by-step explanation:
9x² + 6x - 8 = 0
9x² + 12x - 6x - 8 = 0
3xx(3x + 4) - 6x - 8 = 0
3xx(3x + 4) - 2(3x + 4) = 0
(3x + 4) × (3x - 2) = 0
3x + 4 = 0 → x = -4/3
3x - 2 = 0 → x = 2/3
Hope this helps! :)
use the bionomial theorem to write the binomial expansion
[tex]( \frac{1}{2}x + 3y) ^{4} [/tex]
Answer:
[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]
Step-by-step explanation:
[tex]$\left(\frac{1}{2}x+3y \right)^4=\left(\frac{x}{2}+3y \right)^4\\$[/tex]
Binomial Expansion Formula:
[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex], also [tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
We have to solve [tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\sum_{k=0}^{4} \binom{4}{k} \left(3 y\right)^{4-k} \left(\frac{x}{2}\right)^k$[/tex]
Now we should calculate for [tex]k=0, k=1, k=2, k=3 \text{ and } k =4;[/tex]
First, for [tex]k=0[/tex]
[tex]$\binom{4}{0} \left(3 y\right)^{4-0} \left(\frac{x}{2}\right)^{0}=\frac{4!}{(4-0)! 0!}\left(3 y\right)^{4} \left(\frac{x}{2}\right)^{0}=\frac{4!}{4!}(81y^4)\cdot 1 =81 y^{4}$[/tex]
It is the same procedure for the other:
For [tex]k=1[/tex]
[tex]$\binom{4}{1} \left(3 y\right)^{4-1} \left(\frac{x}{2}\right)^{1}=54 x y^{3}$[/tex]
For [tex]k=2[/tex]
[tex]$\binom{4}{2} \left(3 y\right)^{4-2} \left(\frac{x}{2}\right)^{2}=\frac{27}{2} x^{2} y^{2}$[/tex]
For [tex]k=3[/tex]
[tex]$\binom{4}{3} \left(3 y\right)^{4-3} \left(\frac{x}{2}\right)^{3}=\frac{3}{2} x^{3} y$[/tex]
For [tex]k=4[/tex]
[tex]$\binom{4}{4} \left(3 y\right)^{4-4} \left(\frac{x}{2}\right)^{4}=\frac{x^{4}}{16}$[/tex]
You can perform the calculations, I will not type everything.
The answer is the sum of elements calculated.
Just organizing:
[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]
Answer: [tex]\bold{\dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4}[/tex]
Step-by-step explanation:
Binomial Tree
n=0 1
n=1 1 1
n=2 1 2 1
n=3 1 3 3 1
n=4 1 4 6 4 1
Using the Binomial Theorem
[tex]\bigg(\dfrac{1}{2}x+3y\bigg)^4\\\\\\=1\bigg(\dfrac{1}{2}x\bigg)^4(3y)^0\quad \rightarrow \quad \dfrac{1}{16}x^4\\\\+4\bigg(\dfrac{1}{2}x\bigg)^3(3y)^1\quad \rightarrow \quad \dfrac{3}{2}x^3y\\\\+6\bigg(\dfrac{1}{2}x\bigg)^2(3y)^2\quad \rightarrow \quad \dfrac{27}{2}x^2y^2\\\\+4\bigg(\dfrac{1}{2}x\bigg)^1(3y)^3\quad \rightarrow \quad 54xy^3\\\\+1\bigg(\dfrac{1}{2}x\bigg)^0(3y)^4\quad \rightarrow \quad 81y^4[/tex]
______________________
[tex]= \dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4[/tex]