They could complete the job together in 2.4 days
The known parameters are;
The number of days it would take Michelle to complete the landscaping job = 6 days
The number of days it would take Danielle to complete the landscaping job = 4 days
The unknown parameter;
The number of days can the job be completed if they work together
The process of finding the solution;
The rate at which Michelle works = 1/6 of the landscaping work per day
The rate at which Danielle works = 1/4 of the landscaping work per day
Method;
Find their combined work rate, from which the time would take them to complete the job together can be found
Let, C, represent their combined work rate
Therefore, we have;
C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day
The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days
∴ The number of days they could complete the job together = 2.4 days.
Learn more about unit rate here;
https://brainly.com/question/19605901
Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
h
The median GPA of the percussionists is 2.8
This question appears incomplete.
Here is the complete question :
Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.
For percussionists, the median GPA is _____.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Median is a measure of central tendency
Other measures of central tendency include mean and mode.
The GPA of the 3 percussionists are 2.4, 2.8 and 3.2
This data has already been arranged in ascending order.
The number that is in the middle is 2.8
Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4
The number that is in the middle is 2.8
For more information on how to calculate median, check : https://brainly.com/question/12528427?referrer=searchResults
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
The 19th term is 99.
Step-by-step explanation:
We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Since the first term is 9 and the common difference is 5:
[tex]\displaystyle x _ n = 9+5(n-1)[/tex]
To find the 19th term, let n = 19. Thus:
[tex]x_{19} = 9+5(19-1)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]
The 19th term is 99.
Find the area of each.
Answer:
14
Step-by-step explanation:
The formula for the area of a triangle is: 1/2 times base times height.
1/2x8x3.5=14
Working together, Nadia and Olivia can clean a horse stable in 8 hours. Had Nadia cleaned it alone, it would have taken her 12 hours Find out how long it would take Olivia to clean the horse stable by herself.
Answer:
24 hours
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c where a and b are the times alone and c is the times together
1/12 + 1/b = 1/8
Multiply by 24b to clear the fractions
24b(1/12 + 1/b = 1/8)
2b + 24 = 3b
Subtract 2b from each side
2b +24-2b = 3b-2b
24 = b
Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above
5+(-18x+15)5 + (-18x +15)5
5+ (-90x +75) + (-90x + 75)
-180x +155
let's see the alternatives:
a) -2000x - 2018 -> -200x - 201,8
b) -30x - 33 -> -180x -198
c) none of the above
so, c is the right one
hope it helps :)
Answer:
ITS C
Step-by-step explanation:
chứng minh đường thẳng a là tiếp tuyến của ( O,R) tại điểm C
Question 1 of 10
Identify the domain of the function shown in the graph.
10
O A.-1sxs 0
OB. x is all real numbers.
PREVIOUS
Answer:
The answer would be B. x is all real numbers.
Step-by-step explanation:
It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.
Well, good luck on the other 9 problems!
Find the greatest common factor
Answer:
3x^2y^2
Step-by-step explanation:
I think:
3*2*x*x*x*y*y*y*y
3*3*x*x*y*y
3*6*x*x*x*y*y
They all have 3x^2y^2 in common.
5.3.8 Higher / Lower 2.0
Answer:
Higher...
Step-by-step explanation:
5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.
Or is this code?
Say you have this: (sorry there's no indentation)
my_float = round(3.3312, 2)
while True:
guess = float(input("Guess my number: "))
if guess > round(my_float, 2):
print ("Too high!")
elif guess < round(my_float, 2):
print ("Too low!")
elif round(guess,2) == round(my_float, 2):
print("Correct!")
break
print("Great job guessing my number!")
You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.
guess = round(guess, 2)
Or:
guess = round(float(input(“Guess my number: “)), 2)
Hope this helped! Have a nice day!
An iceberg weighs 450,000 pounds if it loss 0.2% of its weight in a day, what is its new weight at the end of the day
Answer:
449 100
Step-by-step explanation:
0.2% × 450000÷ 100=900
450000-900= 449 100
Answer:
Step-by-step explanation:
The answer is 449100 pounds .
For what value of k does the linear system below have infinite solutions?
2x - 6y = k
6x - 18y = 30
Answer:
10
Step-by-step explanation:
The first equation should be the same with the second one, then we will have an infinite number of solutions of this system.
So if I multiply the first equation by 3, it'll be
6x-18y=3k
So if they should be the same, 30=3k
K=10
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
2. Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x -3
(answer plsss)
Step-by-step explanation:
I solved for the x hope it's correct
[tex]5x- \dfrac{ \sqrt{ 9 { x }^{ 2 } -6x+1 \phantom{\tiny{!}}} }{ 1-3x }[/tex]
Answer:
[tex]=5x+1[/tex] or [tex]=5x-1[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}[/tex]
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex]=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}[/tex]
[tex]=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}[/tex]
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
[tex]=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}[/tex]
[tex]=5x-\frac{|3x-1|}{-(3x-1)}[/tex]
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
[tex]|a-b|\\=a -b[/tex] or [tex](-a-b) = b-a[/tex]
[tex]=5x-\frac{|3x-1|}{-(3x-1)}[/tex]
[tex]=5x-\frac{3x-1}{-(3x-1)}[/tex] or [tex]=5x-\frac{-(3x-1)}{-(3x-1)}[/tex]
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
[tex]=5x-\frac{3x-1}{-(3x-1)}[/tex] or [tex]=5x-\frac{-(3x-1)}{-(3x-1)}[/tex]
[tex]=5x-(-1)[/tex] or [tex]=5x-(1)[/tex]
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
[tex]=5x-(-1)[/tex] or [tex]=5x-(1)[/tex]
[tex]=5x+1[/tex] or [tex]=5x-1[/tex]
An expression is shown below: \sqrt(50)+\sqrt(2) is it irrational or rational
Answer:
Irrational
Step-by-step explanation:
It's an irrational number since both of them are irrational
Can someone quickly answer this please
Answer:
Step-by-step explanation:
Hello !
(4,4*2,4) + (3,14 * 2,2² )/2 =
10,56 + 7,60 = 18,2 m²
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
Can someone help me with this answer?
[tex](4.2 \times {10}^{5}) \times (3.2 \times {10}^{6}) = 15.54 \times {10}^{11} = 1.554 \times {10}^{12} [/tex]
I hope I helped you ^_^
Rebecca can paint a room in 12 hours Guadalupe can paint the same room in 16 hours how long does it take for both Rebecca and Guadalupe to paint the room if they are working together
the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5
Answer:
15
Step-by-step explanation:
the difference of 8 and 3 : 8-3 = 5
sum of 7 and 5 : 7+5 = 12
a quarter of that sum : 12/4 = 3
the difference from before is now multiplied by that quarter : 5 × 3 = 15
I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The statement can be solved as shown below,
1. The difference between 8 and 3,
8 - 3 = 5
2. The difference between 8 and 3 is multiplied by one-quarter of the sum of 7 and 5,
[tex](8-3) \times \dfrac{(7+5)}{4}\\\\= 5 \times \dfrac{12}{4}\\\\= 15[/tex]
Hence, the solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
-6>t-(-13)
slove for the inequality
Answer:
-19>t
Step-by-step explanation:
-6>t-(-13)
-6>t +(13)
Subtract 13 from each side
-6-13 > t+13-13
-19>t
please help! Similarity transformations!! I’ll mark brainliest later on :)
1. 1/2
2. Y
3. 1 left 3 ups. (-1, 3)
Please help me with this on the image
Step-by-step explanation:
The total of the number of computers he sold in 2015 is 67.
The total of the number of computers he sold in 2016 is 61.
The total of the number of computers he sold in 2017 is 71.
He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.
He sold the most computers in 2017 and the least in Quarter 2.
Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.
Hope this helped!
Answer with Step-by-step explanation:
From the given table
(a)
In quarter 1
Computer sold in 2015=12
Computer sold in 2016=15
Computer sold in 2017=8
Total computer sold in quarter 1=12+15+8=35
In quarter 2
Computer sold in 2015=9
Computer sold in 2016=10
Computer sold in 2017=5
Total computer sold in quarter 2=9+10+5=24
In quarter 3
Computer sold in 2015=21
Computer sold in 2016=17
Computer sold in 2017=23
Total computer sold in quarter 3=21+17+23=61
In quarter 4
Computer sold in 2015=25
Computer sold in 2016=19
Computer sold in 2017=35
Total computer sold in quarter 4=25+19+35=79
In 2015
Total number of computer sold=12+9+21+25=67
In 2016
Total number of computer sold=15+10+17+19=61
In 2017
Total number of computer sold=8+5+23+35=71
(b)He sold the most computers in 2017
(c) He sold the least computers in quarter 2.
((3.55)^2+(4.12)^2+(4.41)^2)/2(3.55)*(4.12)
Answer:
((3.55)^2+(4.12)^2+(4.41)^2)/2(3.55)*(4.12)
=358.519825
Step-by-step explanation:
I just used this website called mathpapa.com, extremely useful for algebra calculations. Here's the link if you need it
https://www.mathpapa.com/algebra-calculator.html
Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 11 cm 7 cm, 23 cm, 11 cm, 12 cm, 7 cm, 19 cm 10 cm, 15 cm, 23 cm
Answer:
(d) 10 cm, 15 cm, 23 cm
Step-by-step explanation:
21 cm, 7 cm, 11 cm — 7+11 < 21 . . . not a triangle
7 cm, 23 cm, 11 cm — 7+11 < 23 . . . not a triangle
12 cm, 7 cm, 19 cm — 7+12 = 19 . . . not a triangle
10 cm, 15 cm, 23 cm — 10+15 > 23 . . . can form a triangle
__
The sum of the two shortest sides must exceed the length of the longest.
In how many years will the interest of a sum Rs 3600 at the rate of 5.5% per year be Rs 594.8?
Answer:
in 3.04 years the will give required intrest
Match the word to know with its definition
Expanded form
Product
Place value
Digit
A number that is written as a sum of single digit multiples of powers of 10
Any of the symbols ( 0 to 9 ) that are used to write a number
The result of multiplying two or more numbers together
The value of where a digit is located in a number
using trig to solve for the missing angle
Step-by-step explanation:
Since there is a 45 and 90 degree angle, this is a 45-45-90 triangle. The legs are equal in a 45-45-90 ttiangle. The hypotenuse sqr root of 2 times more than the legs. So this means the hypotenuse measure is
[tex]18 \sqrt{2} [/tex]
So we can set up a equation.
[tex] {18}^{2} + {x}^{2} = ({18 \sqrt{2}) }^{2} [/tex]
[tex]x = 18[/tex]
So the missing side is 18
Lem is playing a board game and needs to roll two dice and get a six on both die in order to win the game. What is the probability that Lem will win the game on the next roll? Write your answer as a simplified fraction.
The probability of getting a 6 on one dice is 1/6
The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36
Answer: 1/36
state the equation, in slope-intercept form of each of the following graph
Answer:
A) y=(1/4)x-1, 4y=x-4
B) y=-2x
