Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.
x = 2y
To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.
x + y = 27
The sum of their ages is 27, and we can substitute the value of x here to figure out y.
2y + y = 27
We can now simplify this, and get y by itself.
3y = 27
Now, we can divide by 3 to get the y by itself.
y = 9
We now know that John’s sister is 9.
Now, using our original equation, we can substitute in the value of y.
x = 2(9)
We can simplify this.
x = 18
John’s age is 18!
Hope this helps.
g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year
Answer:
The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
Step-by-step explanation:
The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n (E)}{N}[/tex]
The number of absences during the past year tabulated by marital status is as follows:
Marital Status 0 Absences 1 - 5 Absences More than 5 Absences
Married 100 98 52
Not Married 77 102 71
Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:
[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]
[tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]
Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
help! for 22 points
Answer:for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
Step-by-step explanation:
for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
Select the correct answer.
Which equation is equivalent to the given equation?
–8(x + 13) = 2(1 – 7) + 4x
A -80 + 13 = -2x + 14
-8x + 13 = 6x - 7
-8x - 104 = 60 – 14
-8x - 104 = -2.3 + 14
Answer:
C. -8x-104=6x-14
Step-by-step explanation:
–8(x + 13) = 2(x – 7) + 4x
-8x-104=2x-14+4x
-8x-104=6x-14
Vertex (3,2) and point(2,-3) written in vertex form
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
Complete the square. Please help ASAP
[tex]x^2 + 4x + (\frac{4}{2})^2 = x^2 + 4x + 4[/tex]
Answer is 4
Find the scale of the 3 copies
im sorry but i dont really understand your question :c
PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.
X
9
5
y
36
16
8
HELP PLEASE Which equation shows a proportional relationship between x and y?
y = 4x
y=−3x−2
y = 3x + 1
y = 9
Answer:
y = 3x + 1 I think........
Please help me with this question because I am lost
Answer:
C
Step-by-step explanation:
Charles walked on a treadmill 16 3/4 miles over 4 days. How many miles did he walk per day?
Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.
The requried volume of the pyramid is 64.9 cubic meters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:
15.4 / 4 = 3.85
Therefore, the area of the base is:
A = (3.85)² = 14.8225 square meters
The volume of a pyramid is given by the formula:
V = (1/3) * A * h
where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:
V = (1/3) * 14.8225 * 13.1
V = 64.91925 cubic meters
Rounding to the nearest tenth of a cubic meter, we get:
V ≈ 64.9 cubic meters
Therefore, the volume of the pyramid is approximately 64.9 cubic meters.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ3
There were 150 total movies at the store. They sold 70% of their stock. How many did they se
Answer:
They sold 105 movies.
Step-by-step explanation:
70÷100×150
= 0.7×150
= 105
Hope it helps :)
ONE OF THE COLDEST TEMPERTURES EVER RECORDED WAS -128F IN ANTARCTICA. ONE OF THE WARMEST TEMPERATURES EVER RECORDED WAS 134 DEGREES FAHRENHEIT IN DEATH VALLET CALIFORNIA. HOW MANY DEGRESS DIFFERENCE ARE THERE BETWEEN THE COLDEST AND WARMEST RECORDED OUTSIDE TEMPERTURE
Answer:
271 degrees
Step-by-step explanation:
143-(-128)=143+128=271 degrees
Please help ASAP in math I have a picture
Answer:
x = 25
Step-by-step explanation:
Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:
3x + 18 = 93
-18 -18
3x = 75
Divide both sides by 3
x = 25
Alice and her two sisters, Betty and Carol, are avid tennis players. Betty is the best of the three sisters, and Carol plays at the same level as Alice. Alice defeats Carol 50% of the time but only defeats Betty 40% of the time. Alice’s mother offers to give her $100 if she can win two consecutive games when playing three alternating games against her two sisters. Since the games will alternate, Alice has two possibilities for the sequence of opponents. One possibility is to play the first game against Betty, followed by a game with Carol, and then another game with Betty. We will refer to this sequence as BCB. The other possible sequence is CBC.
Calculate the probability of Alice getting the $100 reward if she chooses the sequence CBC.
Answer:
0.484
Step-by-step explanation:
Given that:
Alice defeats Carol 50% of the time.
This implies that, the probability of defeating Carol = 0.5
Also the probability of losing to Carol = 1 - 0.5 = 0.5
Similarly, Alice defeats Betty 40% of the time.
The probability of Alice defeating Betty = 0.4 and the probability of losing to Betty = 1 - 0.4 = 0.6
However, in as much as Alice needs to win two consecutive games, the sequence which satisfies this condition are as follows:
Let W represent Win and L represent L.
Then the conditions are WWW, WWL and LWW
Since the outcome of each game is independent of the other games.
Then, the probability that Alice wins two games against Carol CBC is:
Pr(2W - CBC) = (0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5)
Pr(2W - CBC) = 0.1 + 0.1 + 0.1
Pr(2W - CBC) = 0.3
The probability that Alice wins two games against Betty (BCB) is:
Pr(2W - BCB) = (0.4 × 0.5 × 0.4) + (0.6 × 0.5 × 0.4) + ( 0.4 × 0.5 × 0.6)
Pr(2W - BCB) = 0.08 + 0.12 + 0.12
Pr(2W - BCB) = 0.32
However, the Probability of winning two consecutive games is the result of the addition of the probability of winning two consecutive games in the sequence CBC together with the probability of winning two consecutive games in the sequence of BCB.
i.e.
Pr(2W) = Pr(2W- CBC) + Pr(2W - BCB)
Pr(2W) = 0.3+0.32
Pr(2W) = 0.62
Finally, to calculate the probability that Alice will get $100 if she chooses the sequence CBC is:
[tex]\dfrac{Pr(2W -CBC)}{Pr(2W)}= \dfrac{0.3}{0.62}[/tex]
[tex]\mathbf{\dfrac{Pr(2W -CBC)}{Pr(2W)}= 0.484}[/tex]
If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]
[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]
Done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
_
1-+\|13
x= -------- or x1= - + 0.434259, x2=0
6
Step-by-step explanation:
1. collect terms
2. factor the expression
3. divide both sides
4. separate into possible cases
5. solve the equation
6.Equation has 3 solution
rewrite 2-2/3x=3/4 so it does not have fractions.
Answer:
I'm guessing you convert to decimals?
2-0.666666667x=0.75
Let me know if that is wrong
Stay Safe,
evancorral7
What is the length of the arc on a circle with radius 16 ft intercepted by a 60° angle?
Use 3.14 for pie
Round the answer to the hundredths place.
Answer:
16.75
Step-by-step explanation:
which of the following should one consider when choosing a career?
Answer:
all of the above
have a good day keep working
What is the slope of this line?
Enter your answer as a fraction in the simplest term in the box.
Answer:
1/4
Step-by-step explanation:
What is the answer to m<4
Answer:
124°
Step-by-step explanation:
Supplementary angles are when two angles add up to 180°
If angle 3 is 56° then you subtract
180 - 56 = 124
The formula = 21+ 2m is used when calculating:
a area of a rectangle
C area of a circle
b. perimeter of a rectangle
d circumference of a circle
Convert the fraction to a decimal: 1/6 =
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (333,0). What was the point A where Alice turned?
9514 1404 393
Answer:
(9, 54)
Step-by-step explanation:
The first road has a slope of 6 on its graph. So, the perpendicular road will have a slope of -1/6, the negative reciprocal of the slope of the original road. Translating that from y=-1/6x the the right by 333 units, the equation of the second road is ...
y = -1/6(x -333)
The point where Alice turned is the point of intersection of these two equations:
y = 6xy = -1/6(x -333)Substituting for y, we have ...
6x = -1/6(x -333)
36x = -x +333 . . . . . multiply by 6, eliminate parentheses
37x = 333 . . . . . . . . add x
x = 9 . . . . . . . divide by 37
So, the point where Alice turned is ...
(x, y) = (9, 6·9)
(x, y) = (9, 54)
Use the properties of exponents to enter an equivalent expression with a single exponent. (10^4)^3 =
Answer:
10000^3
Step-by-step explanation:
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
Horses A veterinarian measures a horse to be 7.5
ft tall at the shoulder to the nearest half foot. What
are the minimum and maximum possible heights of
the horse?
Answer:
Minimum height is 7.25ft and maximum height is 7.75ft
Step-by-step explanation:
You measured to the nearest half foot, so the greatest possible error is 0.25 foot.
Minimum height= measured value-possible error= 7.5-0.25= 7.25ft
Maximum height= measured value+possible error= 7.5+0.25= 7.75ft
What’s another name for plane P?
Answer:
DAB is correct if you have the option for it. if not can you post the possible answers?
Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?
Answer:
$46.20
Step-by-step explanation:
First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.