Answer:
48 days
Step-by-step explanation:
Let us assume the following things
Work done by 1 man in 1 day is [tex]\frac{1}{x}[/tex]
Work done by 1 woman in 1 day is [tex]\frac{1}{y}[/tex]
It is mentioned that
six men + ten women finished in 8 days
So,
[tex]\frac{6}{x} + \frac{10}{y} = \frac{1}{8}[/tex] .............. (1)
And,
four men + six women finished in 12 days
[tex]\frac{4}{x} + \frac{6}{y} = \frac{1}{12}[/tex] ...............(2)
Now solve these two equations
And we assume [tex]\frac{1}{x}[/tex] be u and [tex]\frac{1}{y}[/tex] be v
So
Now the equation is
[tex]6u\ + 10v\ = \frac{1}{8} \\\\\4u\ + 6v\ = \frac{1}{12}[/tex]
So,
u = 1 ÷ 48 , v = 0
Therefore x = 48
So the time taken for finish the work is 48 days
Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)
Answer:
The answer is
[tex](4 \: , \: - 6)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(7,−2) and (1,−10)
The midpoint is
[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]We have the final answer as
[tex](4 \: , \: - 6)[/tex]Hope this helps you
find the area of the prism
Answer:
total surface area = 400 cm2
Step-by-step explanation:
Which decimal is equivalent to (5 × 10) + (2 × 1/100)? a 50.002 b 5.02 c 50.20 d 50.02
Answer:
d 50.02
Step-by-step explanation:
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200
Answer:
x = 200
Step-by-step explanation:
Given
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is
[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )
[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
The value of x is 200.
Here, given expression is
one-fifthx – two-thirdsy = 30,
We have to find the value of x when y = 15.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now, given expression is
⇒ one-fifthx – two-thirdsy = 30,
⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]
When y = 15
⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]
Hence, The value of x is 200.
Learn more about the Mathematical expression visit:
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Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?
Answer:
You will earn $15.75, $13.50, or $18 depending on how you are getting paid
Step-by-step explanation:
If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75
If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.
If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total
Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5
Answer:
3/11.
Step-by-step explanation:
3/11 = 0.2727272727....
Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5
Answer: 6x3+25x2+27x+5
Step-by-step explanation: =(2x+5)(3x2+5x+1)
=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)
=6x3+10x2+2x+15x2+25x+5
19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.
Answer:
36F + 28S= 6080
Step-by-step explanation:
36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.
Which sentence is correct? A. B. C. D.
Answer:
what do you mean what sentence is correct give a picture
Answer:a
Step-by-step explanation:
What is m What is m What is m
Answer:
honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.
Answer:
not sure but i hope yah find out
Step-by-step explanation:
GEOMERTY QUESTIONS!!!!!!!!!
Answer: The answer to the first question is C. The answer to the second question is A.
the first one is C and the second is A
Simplify :
............
Answer:
?sjsjssnsk.aia.
iwkq.qnw w.1kp1p1la
ama zz
anmpq0qq
Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy did he need to buy?
Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.
Answer:
She owes her brother $7.
Step-by-step explanation:
Subtract $18 made from dogsitting from the total (which is $25).
addition expression : $18 + x =$25
check : $25 - $18 = $7
$7 is what she needs to finish paying back.
Determining a value of an expression
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
I think.
Which statement is false?
help please! I kind of forgot how to do these & I need a little bit of help, thank you!
Answer:
T
Step-by-step explanation:
Go to the right 1/4 of a unit and down 1/2 of a unit
The point is T
Please help me, I need the answer now! Will mark brainliest.
Answer: It is D
Step-by-step explanation: The numbers are going by fives.
Jennifer is saving money to buy a bike. The bike costs $336. She has $128 saved, and each week she adds $16 to her savings. How long will it take her to save enough money to buy the bike? It will take her \weeks to save for the bike.
Find the two missing numbers shown with an "*" in the equation.
5 3/* × * 1/2 = 19
^^both mixed fraction^^
What is 39,040,000 expressed in scientific notation
Answer:
39.04 x 10 to the power of 7
Step-by-step explanation:
probably wrong but ok :)
Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?
Answer:
LOL, change ft to inches and then divide by 365
Answer:
312.3 Inches/Day
Step-by-step explanation:
I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3
As you can see in the photo below I chose 312.3
Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30
Answer:
3^1
Step-by-step explanation:
3^-5 * 3^6
When multiplying exponents with the same base, we can add the exponents
3^ ( -5+6)
3^1
A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms
Answer:
[tex]\frac{5}{81}[/tex]
Step-by-step explanation:
Given:
Profit = $1500 million
Revenue = $24,300 million
Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex] [Since they both have same unit ($), this sign can be omitted]
Now let's reduce the ratio above to its lowest terms...
[tex]\frac{1500 million}{24,300 million}[/tex]
[First, the millions at the numerator and denominator cancel out]
[tex]\frac{1500}{24,300}[/tex]
[Next, the two zeros at the numerator and denominator cancel out]
[tex]\frac{15}{243}[/tex]
[Next, divide both the numerator and denominator by 3]
[tex]\frac{5}{81}[/tex]
Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]
Solve step by step 3(2x-4)=8
Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
Answer: x = 10/3
Step-by-step explanation:
3(2x-4) = 8 apply the distributive property on the left side
6x - 12= 8 Add 12 to both sides
+12 +12
6x = 20 Divide both sides by 6
x= 20/6 which simplifies to 10/3
A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?
Answer:
The answer would be $91.
Step-by-step explanation:
20% off of 120 is 96 and 96 - 5 is 91.
Answer:
$91
Step-by-step explanation:
To find 20% off of $120 set it up as a fraction.
We are trying to find x.
x/120 = 20/100
Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.
2400/100x
Simplify that to find how much you need to subtract from $120 when the discount is added. 2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.
Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)
Answer:
The answer is 25Step-by-step explanation:
f(x) = 3x - 2
h(x) = - 2x² + 3x - 6
First to find f(7/3) substitute the value of x that's 7/3 into f (x)
That's
[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]To find h(-2) substitute the value of x that's - 2 into h(x)
We have
[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]So we have
[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]We have the final answer as
25Hope this helps you
write in standard form y=-3x+4 through (0,-1)
which of the following numbers best approximates 3.076 - 307.6
A. 300
B. 3,000
C. 30
D. 30,000
Answer:
A
Step-by-step explanation:
The minus sign is not needed.
Drew scores 90 points in 6 games. How many points per game does Drew score?
Answer:
15
Step-by-step explanation:
90 points in 6 games
90/6 = points in one game
= 15 points in one game
Answer:
15 points per game
Step-by-step explanation:
You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.
90÷6=15
So 15 is the answer