One person can do a certain job in 10 minutes and another person to the same job and 15 minutes how many minutes will it take to do the job together

Answers

Answer 1

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer 2

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6


Related Questions

Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth

Answers

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]

Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,

[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]

Distribute by opening the brackets ,

[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]

This can be written as ,

[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]

Divide both sides by ln 4 ,

[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]

Simplify ,

[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]

On simplifying , we will get ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]

What is … equal to?

Answers

9514 1404 393

Answer:

  528

Step-by-step explanation:

The sum can be decomposed into parts that may be easier to figure.

  [tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]

What is 57,020,000 in scientific notation?

Answers

Answer:

[tex]57,020,000 = 5.702\cdot10^7[/tex]

OAmalOHopeO

Answer:

5.702 ×[tex]10^{7}[/tex]

Step-by-step explanation:

57,020,000 = 5.702 × [tex]10^{7}[/tex]

PLEASE HELP URGENTLY!!

Answers

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

PLEASE HELP ASAP What is the slope of the given line ? What is the equation of the line ?

Answers

Answer:

y =8x - 64

Step-by-step explanation:

that is the procedure above the

The tallest building in Mathville is 12,943 feet high. The second tallest
building is 9,748 feet high. Would you need to re-group to find the
dilterence in their heights?

Answers

Answer:

I think Yes

Step-by-step explanation:

to know An aggressive race to earn the world's tallest building title continues, while at the same time, cities are constructing higher buildings in greater ...

Answer:

Step-by-step explanation:

The world's tallest man-made structure is the 829.8-metre-tall (2,722 ft) Burj Khalifa in Dubai (of the United Arab Emirates). The building gained the official title of "tallest building in the world" and the tallest self-supported structure at its opening on January 9, 2010

Can someone help me out, please? Its really important

Answers

Answer:

3x^4+8x^3+9x^2+2x

Dominic needs 0.6 ounces of fish food to feed his fish for a month. Dominic wants to know how many ounces he needs to feed his fish for 7 months. Which is the correct proportion you could use to solve this problem?

Answers

Answer:

The answer is 0.6*7=4.2ounces of fish food.

Step-by-step explanation:

If 0.6 ounces of fish food will suffice for Dominic's fish for a month, then for 7 months he would need 7 times the food he requires for 1 month.

7*0.6=4.2 ounces of fish food.

I don’t understand what A is trying to ask please could someone help me? Thank you!

Answers

You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.

Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.

Going from f(x) to -f(x) is the y-axis reflection part

Going from -f(x) to -f(x-4) will shift the line 4 units to the right.

Answer:  g(x) = -f(x-4)

Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..​

Answers

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

From the given figures, find the length of unknowns sides of Pythagorean theorem. (In solution)​

Answers

use the formula and substitute the values in a^2 + b^2 = c^2

Answer:

61cm

Step-by-step explanation:

A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .

Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.

[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]

As we can see that here ,

Base = 11cm

Perpendicular = 60cm.

[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]

Substitute the respective values ,

[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]

Simplifying ,

[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]

Add the numbers on RHS ,

[tex]\rm\implies h^2= 3721 [/tex]

Take squareroot on both sides ,

[tex]\rm\implies h =\sqrt{61\times 61}[/tex]

Simplify the squareroot ,

[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]

Hence the hypontenuse of the triangle is 61cm .

PLZZZZZZZZ HELPPPPPPP!!

Answers

Answer:

6 dogs

Step-by-step explanation:

To begin, we can start with that we know we want to work with two separate fractions. When we're doing this, we can make the denominators the same to make the comparisons easier.

Our two fractions are 1/8 and 3/4. To find a denominator that can work, we need to find the least common multiple. We can do this by listing the multiples of each number (in this case, the denominators) until one matches.

For 4, we have 4, 8, 12, 16, ...

For 8, we have 8, 16, 24, 32, ...

The lowest number in both of these is 8. Therefore, 8 is our least common multiple. Since 1/8 already has 8 as its denominator, we only need to change the denominator of 3/4.

To change the denominator, one way we can do this is to take (new denominator)/(old denominator) and multiply that value by both the numerator and denominator. We multiply that value by the numerator as well to ensure that the fraction stays the same.

We can then do (8/4) =2, so we multiply both 3 and 4 by 2 to get 6/8 = 3/4

Going back to our problem, we need to find how many dogs Dillon feeds with 6/8th of a can of food. Each dog takes 1/8th of a can of food every day, so we need to figure out how many times 1/8 goes into 6/8.

Because 1/8 is one-eighth of 8/8, or one whole, we can similarly say that 1/8 is one-sixth of 6/8, or six-eights. Therefore, Dillon has 6 dogs

Are these all correct there part 1, 2,3,and 4

Answers

Answer:

yes all are right

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree

Answers

Answer: x=31°

Step-by-step explanation:

To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.

[tex]cos(x)=\frac{48}{56}[/tex]          [use inverse cosine]

[tex]x=cos^{-1}(\frac{48}{56})[/tex]

[tex]x=31[/tex]

Now, we know x=31°.

​Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?​

Answers

Answer:

$7.47

Step-by-step explanation:

Take the number of pounds and multiply by the price per pound

3 * 2.49

7.47 for 3 pounds of apples

Answer:

7.49

Step-by-step explanation:

Given: 3 pounds, and 2.49 for each pound

Multiply:

2.49 × 3

 ₁   ₂    

 2.49

×      3

----------

 7. 47

Mrs. Ella bought 3 pounds of apples for $7.49


Help me out plz it’s 14

Answers

Answer: 15

Explained: Number 7 is 15 if that’s why you was asking help for

Answer:

The answer is 216

Step-by-step explanation:

Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you​

Answers

Answer:

 He Saved 18.664%

Step-by-step explanation:

Well first we need to find the total of the original price of the items he got

then we can solve for how much (in percentage) he saved

We know the original price of the pant as € 34.50 because 5+29.50=34.50

Now lets find out the original price of the shirt

The shirt's original price can be found by using this equation

x * .75 = 17

17/ .75  = x

22.67 = x

Now since we know the prices of these two items lets add them together

34.50 + 22.67 = 57.17

He actually spent

29.50 + 17 = 46.5

Now what percentage of 57.17 is 46.5?

We can use 46.5/57.17 = 0.81336

.81336 *100 =  81.336%

100-81.336 = 18.664

18.664% was saved

Renting snow skis costs $15 per hour plus a $10 usage fee. Create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented. Graph your step function from t = 0 hours to t= 10 hours. Then use your model to determine the cost for the snow skis if you were skiing for 4.5 hours.

Answers

Answer:

The cost for the snow skis for 4.5 hours is $ 77.5.

Step-by-step explanation:

Since renting snow skis costs $ 15 per hour plus a $ 10 usage fee, to create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented and determine the cost for the snow skis if you were skiing for 4.5 hours the following calculation must be performed:

10 + (15X) = Cost per hour

10 + 15 x 4.5 = X

10 + 67.5 = X

77.5 = X

Therefore, the cost for the snow skis for 4.5 hours is $ 77.5.

Please help me with this

Answers

Answer:

1/6 for white and 1/2 for black

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

4/15

Step-by-step explanation:

There are 6 white+4black = 10 marbles in the bag

P (white) = white marbles / total marbles = 6/10 = 3/5

We keep the marble

There are 5 white+4black = 9 marbles in the bag

P (black) = black/total = 4/9

P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15

find the value of the variable for 5, 6

Answers

Answer:

Step-by-step explanation:

for question 5 )  

we know that  x-5 = 6   because I'm pretty sure outside of the question we are told that the rectangles  are similar and therefore,  we can say the above

x-5 = 6

add 5 to both side

x = 11

for question 6)

30 is  [tex]\frac{5}{6}[/tex] of 36, so use that on the remaining given side

 [tex]\frac{5}{6}[/tex] * 15 = 12.5

then thats what the other side of the bigger shape is

12.5 = x + 6

minus 6 from both sides

6.5 = x

by the way,  notice that they have used a variable "x" for both 5 & 6 which is named the same but has a different value  in each problem.  X is the name of the variable for each problem, but doesn't have any meaning once outside of each of the problems.  It's just confusing to use the same named variable at times.  something like xy   and xz ,  might have been better names.    anyway  :)

one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work

Answers

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

Can someone help with this question and also give an explanation? I will give brainlest

Answers

The answer is C, 45 in^2. 6 times 9 is 54, and the unshaded area has an area of 3 times 3, so 9. Subtract the 9 from the 54 and you get 45.

Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?

Answers

Answer:

2.6

Step-by-step explanation:

2.5÷65=2.6

In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves

Answers

The game does contain random moves. It depends on how player is being described in this situation

PLEASE HELP!!!

Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?

Answers

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]

= [tex] \frac{16}{4} [/tex]

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]

= [tex] \frac{12}{4} [/tex]

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]

= [tex] \frac{-8}{4} [/tex]

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]

= [tex] \frac{-16}{4} [/tex]

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?

Answers

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

What is the solution to the system of equations graphed below? PLSSS HELP

Answers

Answer:

C (-2,0)

Step-by-step explanation:

Find the point where they intersect. It's (-2,0) on the graph

Answer:

C

Step-by-step explanation:

Looking at the graph, the solution is (-2, 0).

This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).

Another way to see this is by plugging in these coordinates into the system of equations:

0 = -2(-2) - 4

0 = 4 - 4

0 = 0

0 = -2 + 2

0 = 0

These are both correct, once again proving the solution is (-2, 0).

8x - 12
6x + 8
x = [?]

Answers

Answer:

x = 10

Step-by-step explanation:

8x-12 = 6x+ 8

or, 8x -6x = 8 + 12

or, 2x = 20

or, x = 20/2

so, x = 10

Answer:

10

there is a problem with the question...

IF it was : 8x - 12 = 6x + 8

then the answer would be: 2x = 20 .... x = 10

Step-by-step explanation:

Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number

Answers

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

Find the angle of depression from point A to point C

Answers

Answer:

24 degrees

Step-by-step explanation:

90-66=24

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