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OverLord2011 [107]
3 years ago
12

If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the sam

e car?
Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

3 3/7 or 24/7 mins

Step-by-step explanation:

Let total job = X

Jeff's rate = X/6

Bob's rate = X/8

Combined rate = X/6 + X/8

(4X × 3X)/24 = 7X/24

7X/24 = X/T

T = X ÷ (7X/24)

T = X × (24/7X)

T = 24/7 mins

Shortcut:

T = product of individual times/sum of individual times

T = (6×8)/(6+8)

T = 48/14

T = 24/7

T = 3 3/7 mins

pishuonlain [190]3 years ago
4 0

Answer:

3 3/7 minutes or 3.4mins

Step-by-step explanation:

If Jeff washed husband car in 6 minutes and Bob washed the same car in 8 minutes , the time taken by both of them in washing the car ?

If Jeff washed the car in 6 minutes , in one minute, Jeff’s work = 1/6

If bob washed in 8mins, in one minute, bob’s work = 1/8

Add both together

1/6 + 1/8

Lcm of 6 and 8 Is 24

Divide the Lcm by the denominators and multiply the results by the numerator

We have 4+3 /24

7/24

Therefore time taken by both of them in Washing is 24/7

= 3 3/7 minutes 0r 3.4mins

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Based on the quantity sold and the price, the profit per unit is <u>$5</u> and the total profit is<u> $2,500</u>

The profit made from each unit sold can be found as:

<em>= Market price - Average cost </em>

= 14 - 9

= $5

The total profit would therefore be:

<em>= Profit per unit x Number of units sold </em>

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at brainly.com/question/25531124.

4 0
2 years ago
the number of buckets of paint n needed to paint a wall varies jointly with the total area a and the thickness t of the wall, an
Nat2105 [25]
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:

n = k · (a · t) / p

where k is the proportionality constant which we do not know.

We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:

k = (n · p) / (<span>a · t)
   = (5 </span>· 2) / (100 · 3) = 0.0333

Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:

a =  (n · p) / (k<span> · t)
   = (8 </span>· 2) / (0.0333 · 6)
   = 80 ft²

Please, note that we made sure to have the exact same units of measurements than the previous case.

Therefore, the correct answer is an area of 80 ft².
4 0
3 years ago
While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her
EastWind [94]

The given equation is,

3(-n+4)+5n=2n

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}

Now, group the like terms.

-3n+5n-2n+12=0

Now, add the like terms.

\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0
1 year ago
An elephant at the zoo maintains her weight by eating 2.5% of her body weight in food each day. If she maintains a constant weig
Lelu [443]

Answer:

  2100

Step-by-step explanation:

Multiply the rate by the time and the weight to find the amount per week.

  (2.5%/day)(6 tons)(2000 lb/ton)(7 days/week) = 2100 lb/week

7 0
3 years ago
6X - 2 + 5x + 7 *<br> what’s the answer?
enot [183]

Answer:

x=2.2

Step-by-step explanation:

6X - 2 + 5x + 7

add like terms

11x+5

divide 5 on both sides

x=2.2

Hope this helps dont 4get to like and star

-mercury

7 0
2 years ago
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