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vfiekz [6]
3 years ago
6

A coin sorting machine can sort a certain number of coins in 15 min a second machine can sort the same number of coins in 30 min

how long would it take both machines working together to do the job?
plz give all the steps that will be marked as the Branilest!!!!!!!!!!!!!!!!!!!!!!!!
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

10 minutes

Step-by-step explanation:

Let's use the variable x for the amount of coins.

The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.

The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.

If we sum the speeds, we have that the speed will be:

speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10

The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.

You might be interested in
Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.
lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75  

Total fruit sold = 50

Total Earned  = $33.50

b + o + a = 50       Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a =  $33.50           The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50  

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a =  $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50       Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50   Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5     Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o   Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o   Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16      

b = 2o  

b = 2 (8)

b = 16   Which works! Now the last step of checking our work:

.5b + .75o + .75a =  $33.50

.5(16) + .75(8) + .75(26) =  $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50  Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0
3 years ago
(HELP FINAL EXAM) If two states are selected at random from a group of 40 ​states, determine the number of possible outcomes if
Hitman42 [59]

Answer:

With replacement, there are 1600 possible outcomes.

Without replacement, there are 1560 possible outcomes.

Step-by-step explanation:

Chosen with replacement:

State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So

40*40 = 1600

With replacement, there are 1600 possible outcomes.

Chosen without replacement:

State and chosen and is not replaced.

So, for the second state, there will be only 39 possible outcomes.

40*39 = 1560

Without replacement, there are 1560 possible outcomes.

7 0
3 years ago
Solve this steps not needed
777dan777 [17]

Hi!

When you add a negative number, you really just subtract it. So let's solve this.

Convert the mixed numbers into improper fractions.

\frac{434}{9} - \frac{351}{9}

Solve

434 - 351 = 83

\frac{83}{9}

The sign of this fraction is positive

Hope this helps! :)

-Peredhel

4 0
3 years ago
Read 2 more answers
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded
Whitepunk [10]

Answer:

<h3>The answer is 17.5 units</h3>

Step-by-step explanation:

Using the distance formula

<h3>d =  \sqrt{ ({x2 - x1})^{2} +  ({y2 - y1})^{2}  }</h3>

the distance between (-10, 12) and (5, 3) is

<h3>d =  \sqrt{ ({5 + 10})^{2}  +  ({3 - 12})^{2} }</h3><h3>d =  \sqrt{ {15}^{2}  + ( { - 9})^{2} }</h3><h3>d =  \sqrt{225 + 81}</h3><h3>d =  \sqrt{306}</h3><h3>d = 3 \sqrt{34}</h3>

d = 17.492855

We have the final answer as

<h3>d = 17.5 units to the nearest tenth</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
20. An amount of money was shared among five boys Ali, Juma, Musa, Khalid and Mustafa. Ali got /8 of the total amount while Juma
Nadusha1986 [10]

Answer:

x=\frac{18000}{7}=2571\frac{3}{7}

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since \frac{7}{30}x=600

7x=18000

x=\frac{18000}{7}=2571\frac{3}{7}

3 0
2 years ago
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