Time taken by hose B to fill the vat alone = 9 hours
Let 'x' be the capacity of the vat filled in an hour.
Hose A can fill the vat in 3 hours. i.e., 3x quantity is filled in the vat.
After 2 hours of pumping, 2x/3x = 2/3 of the vat is filled.
The remaining to be filled is x/3x = 1/3 capacity of the vat.
It takes 3 hours for hose B to fill the remaining 1/3 capacity of the vat alone.
Let t be the time taken by hose B to fill the whole vat .i.e., 3/3 = 1 capacity of the vat.
In ratio form, 3 : t = 1/3 : 1.
Thus Time taken by hose B to fill the vat alone = 3 ÷ 1/3
= 3 x 3
= 9 hours
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Sally and John are siblings.
John is one less than 3 times Sally's age.
The sum of their ages is 23.
How old is John, How old is Sally?
Answer:
john is 19
and sally is 23
Step-by-step explanation:
correct me if wrong but that's my own answer
Arianna invests money in an account paying a simple interest of 2% per year. If she invests $20 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answer:
20.40
Step-by-step explanation:
HELP ASPA AND GET 20 PONITS
If you can bake 15 cookies in 5 minutes, then how many cookies can you
bake in 32 minutes?
Answer:
You can bake 96 cookies in 32 minutes.
Step-by-step explanation:
Since we are given "if you can bake 15 cookies in 5 minutes" you dived 15 by 5 to find the unit rate. 15÷5=3
Since 3 is the unit rate we multiply it by 32, to get 96.
3×32=96
In other words, the unit rate is how many cookies you can make in a minute.
Please mark Brainliest!
Answer:
What the first guy said.
Step-by-step explanation:
2(n + 5) ≥ 4 and 3(n − 1) < 3
Answer:
1. n ≥ -3
2. n < 2
Step-by-step explanation:
Pls help out a stranger :')
I will give brainlist so PLS HELP ME
Solve for x: one over eight (8x + 15) = 24
a triangle has base 8cm and a perpendicular height 5.2cm
Answer:
A=20.8cm
A = 1/2 * base * height
A= 1/2 * 8 * 5.2
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
6
Step-by-step explanation:
first you have to find the side length. Since it is a square all 4 sides are equal and since the total length of the sides is 24, then the length of one side is 24/4= 6.
Answer:
you didnt open the opshens so i cant help you
1.-Draw a box-and-whisker plot for the data set
12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25
The box-and-whisker plot of the data is given below.
What is box-and-whisker plot?
When we plot a graph for the box plot, we outline a box from the first quartile to the third quartile. A vertical line that goes through the box is the median. The whiskers (small lines) go from each quartile towards the minimum or maximum value.
Given data is
12,5,22,30,7,36,14,42,15,53,25
First we will arrange it in ascending order.
5,7,12,14,15,22,25,30,36,42,53
The maximum and minimum value are 5 and 53.
First quartile is 3 and third quartile is 9
median is 22 (middle term).
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Find the total earnings based on the given information.
Base Salary: $48,000
Applications: 910
Fee: $1.75 per application
Enter the correct answer in the box.
Show Hints
Step-by-step explanation:
total earnings = base salary + 910×1.75 =
= 48000 + 1,592.50 = $49,592.50
Chee was out at a restaurant for dinner when the bill came. Her dinner came to $23. She wanted to leave a 20% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
7788987797998789878888878999999
Dwight Donovan, the president of Baird Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of five years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $108,000 and for Project B are $38,000. The annual expected cash inflows are $27,766 for Project A and $11,069 for Project B. Both investments are expected to provide cash flow benefits for the next five years. Baird Enterprises’ desired rate of return is 8 percent. (PV of $1 and PVA of $1)
a soft drink machine outputs a mean of 27 ounces per cup. the machine's output is normally distributed with a standard deviation of 2 ounces. what is the probability of putting less than 31 ounces in a cup? round your answer to four decimal places
The probability of putting less than 31 ounces in a cup is 0.9773.
The standard score is the number of standard deviations that a raw score deviates from or exceeds the mean of the thing being measured or observed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
A soft drink machine's output is normally distributed.
The mean is μ = 27 ounces per cup.
The standard deviation, σ = 2 ounces.
The z score when x is a random variable that represents the output of the machine will be given as:
Z = ( X - μ)/σ
Z = ( 31 - 27)/2
Z = 4/2
Z = 2
Then the probability of putting less than 31 ounces in a cup using the p-value from the Z table will be:
P( X < 31 ) = 0.97725
P( X < 31 ) ≈ 0.9773
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2. Write the expression 8w - 12y +15 divided by 3 + w-6 in simplest form. Show all work leading to your
answer.
The expression in the form of equation can be simplified as: 7w - 12y + 18
What is equation?
In mathematics, the statement based problems can be solved by forming the equations. And the equations consist of dependent variable as well as independent variables. It is calculated by equating the terms to zero.
According to the question, the given expression in the form of equation is as follows:
Required expression: 8w - 12 y + 15 divided by 3 + w - 6
The given expression can be re-written as:
Required expression: (8w - 12y + 15)/(3 + w - 6) = 7w -12y +18
Hence, the expression in the form of equation can be simplified as:
7w - 12y + 18
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Write the equation in standard form for y-5= -1/2 (x+2)
Answer:
x+2y=8
Step-by-step explanation:
Anyone know?
Calculate the x and y intercept for
- x - y = 5
Point B is due east of point A. Point C is due north of point B. The distance
between points A and C is 10√2 meters, and BAC = 45°. Point Dis 20
meters due north of point C. The distance |AD| is between which two
integers?
please hurry
Answer: Point B
Step-by-step explanation:
What is the answer? Please help
Rocco assembles 5/6 of a trundle bed in 1/3 of his shift. Find the unit rate
Answer:
2.5 trundle beds assembled per shift
Step-by-step explanation:
5/6 to 1/3 (How many trundle beds Rocco assembles in 1/3 of a shift)
5/2 to 1 (multiply by 3 to both numbers)
2.5 to 1 (convert 5/2 into a decimal)
Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.
Answer:
Both are correct
Step-by-step explanation:
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that for one equation and substituted for y in the other equation.
Nicole found for the one equation and substituted for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
and .
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
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A quotient of a number and -1.5 is 21
A quotient of a number and -1.5 is 21 hence it is 21 = - 1.5D and D = - 14.
What is an expression?An expression is a mathematical way of writing variables and constants separated by the operation of addition and subtraction. Unlike equations in expressions, we do not equate the terms to zero.
We know N = DQ + R.
Where N = The number itself, D = Divisor, Q = Quotient and,
R = Remainder.
Given, A quotient of a number and -1.5 is 21.
Let the number be D.
∴ 21 = - 1.5D
D = - 21/1.5.
D = - 14.
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Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form.
The equation in slope intercept form is [tex]\frac{x}{7} +\frac{15}{7}[/tex].
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is
[tex]\frac{y2-y1_ }{x_{2-x_{1} } }[/tex]
Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is [tex]\frac{x}{7} +\frac{15}{7}[/tex].
What is slope intercept form?The slope-intercept form of a line is one of the most common forms used to represent the equation of a line. The slope-intercept formula can be used to find the equation of a line given the slope of the line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis). The equation of a line is an equation that is satisfied by each point on that line.
There are several methods to find this equation of a line given as
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For a project in her Geometry class, Chloe uses a mirror on the ground to measure the height of her school’s flagpole. She walks a distance of 8.85 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.1 meters to the other side of the mirror, until she can see the top of the flagpole clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.15 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.
The height of the flagpole will be 9.25 m to the nearest hundredth of a meter.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
Given that, after moving a mirror with an X in the middle to a level position on the ground 8.85 metres away from the flagpole.
The top of the flagpole is then plainly indicated in the X as she moves 1.1 metres to the opposite side of the mirror. Her companion calculates that there are 1.15 metres between her eyes and the ground.
From the similarity of two triangle,
1.15 / h = 1.1 / 8.85
1.1 h = 1.15 × 8.85
1.1 h = 10.1775
h = 9.25 m
Thus, the height of the flagpole will be 9.25 m to the nearest hundredth of a meter.
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A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?
Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.
The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.
The amount of money separating the highest salary from the lowest salary when considering all employees.
The distance between the salary of an employee and the mean salary of all the employees.
Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.
The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."
Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.
For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.
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A T20 cricket match started at 10:45 a.m. and it was over at 2:15 p.m. how long was the maths played
Answer:
3hours 30mins
Step-by-step explanation:
Just count
1hr =60mins
10:45+15 mins = 11
Then count to 12 then again 1,2
Thats 3hrs
Plus 15 from 2:15
Then plus fifteen from before
U get 3 hours 30 minutes
imagine a game of three players where exactly one player winsin the end and all players have equal chances of being the winner. the game is repeated four times. find the probability that there is at least one person who wins no games
Can someone help me solve this?
The sum of the first 26 terms for an arithmetic sequence is 1417.
The sum of the first 8 terms for the same arithmetic sequence is 76.
Find the value of the first term.
The value of the first term is -8.
Here it is given that the series is in an arithmetic sequence.
The formula for the sum of a series in an arithmetic sequence.
[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)
n = number of term
d = common difference
a = first term of a sequence
[tex]S_{n}[/tex]= sum of n number of terms
It is given that sum of 26 number of a term is 1417, and the sum of first 8 number of a term is 76.
So from that, we have two equations by putting the term in the equation
1417 = 26/2( 2a + (26-1)d)
1417 = 13(2a + 25d)
109 = 2a + 25d .........(1)
76 = 8/2( 2a + (8-1)d)
19 = 2a + 7d ..........(2)
Now subtract equations (1) and (2) we get
90 = 18d
d = 5
Now put the value of d in equation (2), we get
19 = 2a + 7× 5
19 - 35 = 2a
2a = -16
a = -8
Therefore the first term of the sequence is -8.
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What is the like term, Coefficient and constants 4+4y+y+3
Answer:7+5y
Step-by-step explanation:
3+4=7
4y+y=5y
Ndndndncjdbxbxhdhxhdbd bjyrr
A student hikes a trail at a constant rate. After 15 minutes, the hiker travels 1,500 feet
Answer:
joe
Step-by-step explanation:
Answer:
100 feet per minute
Simplify the radical expression. Sqrt 64x ^10 (power 10)
Answer: 8x^5
Step-by-step explanation: you can also go to math-way to get answers
2(-4x)-(x-8) simplified
