Answer:
It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work aloneWorking together, it takes them 10 days to finish the workStep-by-step explanation:
Given;
[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]
From given equations above;
[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]
[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]
solve for B;
[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]
Solve for C;
[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]
When they work together;
[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]
it said in the question how do we solve of the side b
Simplify (9.5)(−2)(−5). (1 point)
Answer:
95
Step-by-step explanation:
I hope this help
(-19)×(-5)
Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?
Answer:
$1830Step-by-step explanation:
Step one:
Ted's monthly salary =$850.00
since he made sales over $10,000. that is he sold supplies worth $14,000
his commission will be 7% of $14,000
=7/100*$14,000
=0.07*$14,000
=$980
Required
His total earnings
Step two:
Hence his total earnings is, his monthly salary plus 7% commission of supplies worth $14,000
=$850.00+$980.00
=$1830
Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
what's the perimeter
Answer:
20
Step-by-step explanation:
You have to add the two equal sides (6)+(6) + 8
Answer:
20
Step-by-step explanation:
since there's a dash in the side with length of 6 that means that the sides are the same length. so 6+6=12+8=20.
hope this helped :)
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
find the value of
x in
-8x + 8
20 points
Answer:
-8x + 8 =0
-8x=-8
8x=8
x=8/8=1
Please help me w this question! :)
Answer:
y = 10
Step-by-step explanation:
y = 2(2) + 6
y = 4 + 6
y = 10
Answer:
Y = 10
Step-by-step explanation:
if x = 2,
Y = 2x2 + 6
Y= 4 + 6
Y = 10
please help!!!
I really confused
Answer:
91in in feet 7.5ft
Step-by-step explanation:
A bag contains 40 cups of dog food. You feed 2 2/3 cups to your dog each day. In how many days will you need to buy more dog food?
Answer:
15 days
Step-by-step explanation:
You'd divide 40 by 2 2/3, getting you 15.Therefore there will be enough food for the dog to eat for 15 days.
On a bank account of $1,600, how much yearly interest will be paid
if the rate is 5%?
Answer:
Step-by-step explanation:
if in the bank account is 1600 dollars
the rate is 5%
1600*5%=80 dollars
What could be the value of x in the number sentence? 6 + x < 10
Answer:
the answer is 3 or less dhevvshsbdvdd
helppppp pleaseeeeeee
y varies inversely with x. If x= 1 and y= 3 what is x if y = 0.3
Type your answer...
Answer:
Step-by-step explanation:
hjyr kiknbvcctt t
solve for a
15=3(a+7)
Answer:
a = -2
Step-by-step explanation:
15 = 3(a+7)
15 = 3a + 21
-6 = 3a
a = -2
how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?
n-6+4=24 solve for n
Benny's water bottle has 15 ounces of
water and he drinks 0.5 ounces per
second. Juan's water bottle has 10
ounces of water and he adds 0.25
ounces per second. After how many
seconds will Benny's water bottle have
no more than Juan's?
Answer:
Benny's:[tex]15/0.5= 30 \\[/tex]
= 30 seconds to complete his bottle
Juan's = [tex]10/0.25 = 40[/tex]
= 40 seconds to complete his water bottle.
Step-by-step explanation:
Hope this helped you so much with your math problem, and I hope that I get brainly.
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
25 POINTS and Brainliest
Answer:$293.83
Step-by-step explanation:
Answer:
293.83$
Step-by-step explanation:
total withdrawals = 6*15.72=94.32$
the rest amount before depostit is 153-94.32=58.68$
the rest amount After depostit is 58.68+235.15=293.83$
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4,1). Substitute the x and y values into the system and you should have the answer.
Answer:
option one
Step-by-step explanation:
please help what is the value of u
Answer:
34
Step-by-step explanation:
It is an isosceles triangle.
112 + u + u =180 {Angle sum property}
112 + 2u = 180
2u = 180 - 112
2u = 68
u = 68/2
u = 34
X is no more than 13
Answer:
x ≤ 13
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
the domain of y=log(9-x^2),xER, is
Step-by-step explanation:
log(z) is defined when z > 0.
For log(9 - x²) to be defined, we have 9 - x² > 0.
=> x² < 9, -3 < x < 3.
The domain of y = log(9 - x²) is (-3,3).
There are 13 books on a shelf. 5 of these books are new. The rest of them are used.
Answer:
So there is 8 old books
Step-by-step explanation:
Answer:
so 8 books are being used and 5 are new total of 13 :)
Step-by-step explanation:
help me please please please please
Answer:
Blank #1. 4
Blank #2. 25
Blank #3. 5
Blank #4. 32
Step-by-step explanation:
Blank #1. If a farm lets you pick 3 pints of raspberries for $12.00, then the cost per pint would be $4.00.
Blank #2. If one pint costs $4.00, then you would get a quarter of a dollar per pint, or 0.25 (this is because four quarters are in a dollar, one quarter=25 cents).
Blank #3. If you continue at this rate, for $20.00, you would be able to get 5 pints of raspberries because if you pick 3 pints of raspberries for $12.00, and one pint costs $4.00 (multiply 3 and 4 to get the total cost of $12.00), and if you pick 5 pints, that cost $4.00 each, for $20.00 (multiply 4 and 5 to get $20.00). So, if you had $20.00, you would be able to pick 5 pints of raspberries for a total of $20.00.
Blank #4. For this question, all you have to do is multiply 4 and 8 ($4.00 and 8 pints) to get a result of $32.00 as your total cost. So, if you picked 8 pints of raspberries for $4.00 per pint, then you will have a total cost of $32.00.
Hope that helps and please give me brainliest!!
Which is the solution of set?
Answer:
the answer is x >0 hope this helped
Pls help fast will give brainliest
Answer:
23
Step-by-step explanation:
6×3+5(3-2)
6×3+5×1
18+5
23
if x²+y²=6xy then prove that 2log(x+y)=logx+logy+3log2
Answer:
Given that
x² + y² = 6xy
or, (x + y)² - 2xy = 6xy
or, (x + y)² = 8xy
or, (x + y)² = 2³xy
Taking (log) in both sides, we get
log (x + y)² = log (2³xy)
or, 2 log (x + y) = log (2³) + logx + logy
or, 2 log (x + y) = 3 log2 + logx + logy
Hope this helps :D
Is 8 < x the same as 8 > x ( please explain this )
Answer:
No
Step-by-step explanation:
It is No because if you switch up the first inequality you get x>8 and when you switch up the inequality you get x<8. I hope this explanation is satisfactory .