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aalyn [17]
3 years ago
12

Solve for x: 2 over 3 equals the quantity x minus 1 end quantity over 5

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

13 over 3

Step-by-step explanation:

Hi Jakeyriabryant! I hope you’re fine!

I hope I have understood the problem well.

If so, what the exercise raises is the following equality:

(x-1) / 5 = 2/3

From this equation you must clear the "x".

First, we pass the 5 that is dividing on the side of the x, to the other side and passes multiplying

(X – 1) / 5 = 2/3  

(X – 1) = (2/3)*5

X – 1 = 10/3

Then we pass the one that is subtracting from the side of the x, to the other side and passes adding

X  = 10/3 + 1

Remember that to add or subtract fractions they must have the same denominator or a common denominator (in this case we can write 1 as fraction 3/3). Then,

X = 10/3 + 3/3

X = 13/3

I hope I've been helpful!

Regards!

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The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

<h3>How to interpret integral multiplication?</h3>

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}

For example,

5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}

For this case, the missing table for expenses of both families is:

Reed Family                                                   Appliances                

Gas range                                                  5 cents per day            

Gas dryer                                                   1 load per day-10 cents per load

Electric water heater                                90 cents per day

Typical later model refrigerator               16 cents per day

Total cost per day                                      5+10+90+16= 166 cents = $1.21

Merrill Family                                                Appliances

Electric range                                            13 cents per day

Gas dryer -                                                 1 load per day 10 cents per load

Gas water heater                                      40 cents per day

Energy Star-labeled refrigerator              12 cents per day

Total cost per day                                    13+10+40+12 = 75 cents = $0.75

Since each of them used these appliances for 30 days, so we get:

  • Case 1: Expense by Reed Family in 30 days:

Expense in 30 days = 30 \times expense per day

Expense in 30 days = 30 \times 1.21 = \$36.3

  • Case 2: Expense by Merrill Family in 30 days:

Expense in 30 days = 30 \times expense per day

Expense in 30 days = 30 \times 0.75 = \$22.5

So, Reed family spent more.

The difference is $36.3 - $22.5 = $13.80

Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

Learn more about multiplication here:

brainly.com/question/26816519

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