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svp [43]
3 years ago
5

30 Points if you can answer my question

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

Answer:

Step-by-step explanation:

6x=3(x+4)

First of all multiply the R.H.S by 3

6x=3x+12

Now move all the terms containing x on the Left Hand Side

6x-3x=12

Now subtract 3x from 6x

3x=12

Now divide the both sides by 3

3x/3=12/3

x=4

Hence it is proved that x=4...

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Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128
dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46          

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}

Amount of water wasted =

\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$

Thus, approximately $46 is the additional money spent on water bill.

4 0
2 years ago
I buy a MP3 player for £40 in a sale where it was 20% off. What was the original price
natta225 [31]
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50
6 0
3 years ago
Read 2 more answers
How many five card hands can<br> be dealt from a standard deck of<br> 52 cards?
Law Incorporation [45]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
In a Toy store, the ration of dolls to teddy bears is 9:3. If the store has 240 dolls, how many teddy bears are in the store
agasfer [191]

Answer:

80

Step-by-step explanation:

It means that there are a third part of teddy bears, so

240 / 3 = 80

8 0
3 years ago
Read 2 more answers
Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square ya
saul85 [17]

For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:

A = a * b

Where:

a: It is the length of the rectangle

b: It is the width of the rectangle

According to the problem data we have to:

b =\frac {5}{8} \yard\\A = \frac {5} {16} \ yards ^ 2

Substituting:

\frac {5} {16} = a * \frac {5} {8}

We clear "a":

a = \frac {\frac {5} {16}} {\frac {5} {8}}\\a = \frac {5 * 8} {16 * 5}\\a = \frac {8} {16}\\a = \frac {1} {2}

Thus, the length of the fabric is \frac {1} {2} yards.

ANswer:

The length of the fabric is\frac {1} {2} yards.

5 0
3 years ago
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