A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together? In how many days will each of them finish it working alone?
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]
Did i do it correctly? if no please give the explanation and answer! :):):)
Answer:
yeah man good job im proud
Step-by-step explanation:
Answer:
You did a very good jod
Step-by-step explanation:
Hope this helped have an amazing day!
Matt gets $0.10 every 2 days
How much does he get in 6 days?
Answer:
$0.30
Step-by-step explanation:
2 days = $0.10
6 days = [tex]\frac{6}{2}[/tex] × $0.10
= $0.30
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?
Answer:
The value of the car will be x - (0.15)x after a year.
Step-by-step explanation:
The car was 15% more when it first came out, and the price went down by 15% after a year.
Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.
Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.
Therefore, the value of the car will be x - (0.15)x after a year.
Hope this helps! :D
Jenny James has score of 78 89 90 and 96 on her first four test what score should she make out of 100 points in order to have at least an average of 90
Answer:
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Step-by-step explanation:
Given that:
Scores of four tests
78, 89, 90 and 96
Let,
x be the score on fifth test.
Average is the sum of quantities divided by total number of quantities.
Average = 90
Average = [tex]\frac{Sum\ of\ scores}{No.\ of scores}[/tex]
Putting the values in the formula;
[tex]90=\frac{78+89+90+96+x}{5}\\90=\frac{353+x}{5}\\90*5=353+x\\450=353+x\\450-353=x\\x=97[/tex]
Hence,
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a function at all
Answer: C
Step-by-step explanation:
What is the value of 7 in 46.897
Answer:
If your asking its place value its Thousandths
Step-by-step explanation:
.1 is tenths
.01 is hundredths
.001 is thousandths
11.sınıf temel düzey matematik geometri :(
Step-by-step explanation:
öklid kurali var uygularsak:
(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...The graph shows the number of students enrolled in a high school over a seven years period.
Angles formed by parallel lines and transversal
can Consider the expresion 6348 how you use distruptive propert and the Gcf to find the equielovent expression? Explain how you can Check your answers
Answer:
63+48= 3(21+16)
Step-by-step explanation:
Check answer:
Distribute 3(21+16)
3(21)+3(16)
63+48
The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s
(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts
Answer:
scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: (h)q^3
Step-by-step explanation:
find the equation of the line . PLEASE HELP
Use the sine rule to calculate BC :)
Answer:
BC≈12.2
Step-by-step explanation:
As we know
24/sin(100°)=BC/sin(30°)
BC=sin(30°)×24/sin(100°)
BC=1/2×24/sin(100°)
BC=12/sin(100°)
BC=12.2 (approximately)
Answer:
BC≈12.2
Step-by-step explanation:
Hope this helped have an amazing day!
PLEASEEE HELPM ME I WILL GIVE BRAINLIEST
what is a simile for abortion
Answer:
abortion is like killing a baby as a mother
Step-by-step explanation:
simile uses "like" or "as"
How many of the first million positive integers share no common factors greater than 1 with 2020
9514 1404 393
Answer:
396,040
Step-by-step explanation:
Factors of 2020 are 2, 5, 101.
There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.
There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.
There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.
There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.
There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.
There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.
There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.
So, the total number of multiples of any factor of 2020 is ...
990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960
Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...
1,000,000 -603,960 = 396,040
Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf
Answer: So the star equals 4 and the triangle equals 1
Step-by-step explanation:
Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?
A. 42
B. 81
C. 158
D. 398
Help me quickly please!!!
Answer:
c hope this help
Step-by-step explanation:
Answer:
It’s A. 42
Step-by-step explanation:
help? I need a answer
brainliest if correct1+1
Answer:
11
Step-by-step explanation:
:>
Answer:
1+1=2 is the answer
Step-by-step explanation:
mark me as brainlist
Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.
Answer:
The farmers believed in the principal of federalism
Step-by-step explanation:
edge 2020
The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.
The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.
The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.
Read more on https://brainly.com/question/12623993?referrer=searchResults
A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of equations for m, the number of men, and w the number of women in the group.
Answer:
lets call the children, c, and call adult, a,
c+a= 52 eq 1: a=52-c
c=3a eq 2
take a's value from eq 1 and plug it into eq 2
c=3(52-c)
c=156-3c
4c=156
c=39 the number of children that attended the ball game.
Step-by-step explanation:
Answer:
ok lol i think it is 3m x w=52 for the equation
Divide each term by
3
m
x
and simplify.
w
=
52
3
m
x
What are the numbers that multiply to -12 but add to +1?
Answer:
4 and -3
Step-by-step explanation:
Can someone explain to me how to get the answer:
-3 |2d| = 12
Answer:
d= -2Step-by-step explanation:
-3×2d=12 -6d= 12 d= 12/(-6) d= -2Hope it helps you......Pls Mark this answer as brainliest.
2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)
Pls answer ASAP, will mark brainliest
Answer:
15
Step-by-step explanation:
Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!
How to solve your question
Solve for y:
-y = 3 y
Subtract 3 y from both sides:
-y - 3 y = 3 y - 3 y
-y - 3 y = -4 y:
-4 y = 3 y - 3 y
3 y - 3 y = 0:
-4 y = 0
Divide both sides of -4 y = 0 by -4:
(-4 y)/(-4) = 0/(-4)
(-4)/(-4) = 1:
y = 0/(-4)
0/(-4) = 0:
Answer: | y = 0
3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?
Complete Question
A certain 50 cm spring will stretch (in cm) one fifth the weight (in kg) attached to it. How long will the spring be if a 35 kg weight is attached to it
Answer:
The value is [tex]L_w = 57 \ cm[/tex]
Step-by-step explanation:
The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]
The mass attached to it is [tex]w = 35 \ kg[/tex]
Generally given from that the spring will stretch one fifth of the weight (in kg)attached to it , it then means that the new length of the spring whenever a weight is attached to it is mathematically represented as
[tex]L_w = L + \frac{W}{5}[/tex]
=> [tex]L_w = 50 + \frac{35}{5}[/tex]
=> [tex]L_w = 57 \ cm[/tex]