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solong [7]
4 years ago
14

Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A's prices are represente

d by the expression 15x - 2. Store B's prices are represented by the expression 3(5x + 7). When do the two stores charge the same rate?
Mathematics
2 answers:
Mazyrski [523]4 years ago
7 0

Answer::

Givens

Store A's price is 15x-2

Store B's price is 3(5x+7)

Where x represents the number of items.

Now, observe that the coefficient of both expressions is 15, because

3(5x+7)=15x+21

Remeber that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions

y=15x-2\\y=15x+21

Observe that both Stores have already the same rate, which is 15.

Therefore, they have the same rate at any number of items dry cleaned.

What they have different is their initial condition, -2 and 21 respectively, but the rate is the same.

liq [111]4 years ago
4 0

Store A's prices are represented by the expression 15x - 2.

Store B's prices are represented by the expression 3(5x + 7).

To find when the 2 stores charge the same rate , we set the expression equal and solve for x

15x - 2 = 3(5x+7)

15x -2 = 15x + 21

Subtract 15x on both sides

-2 = 21

We cannot solve for x

So , the price of two stores never be same

Two stores never charge the same rate


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Devin sent a total of 20 texts and emails on Monday. The number of texts was one less than twice the number of emails. Find the
anyanavicka [17]

Answer:

21 mails

Step-by-step explanation:

Let there are x no of texts and y no of emails.

Condition 1,

x+y = 20 ...(1)

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3 years ago
Carlo wants to join the gym.The gym offers three membership options 1.Pat as you go. 2.All in one price. 3.Regular deal
iragen [17]

Answer:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

1. $120  = Pay as you go

2. $90 = Regular Deal

3. $100 = All in one price.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Step-by-step explanation:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

Question Complete: Carlo wants to join the gym. The gym offers three membership options

1.Pay as you go = Pay only $6 each time you work out

2.Regular deal = Pay $50 a month and $2 each time you work out

2.All in one price = Pay one time $100 per month for unlimited use of our great facilities.

Carlo thinks he will go to the gym about 20 times a month.

Calculate how much each of these options would cost Carlo for one month.

Solution:

Option 1. Pay as you go:

Each time gym fee = $6

Carlo thinks he will go to gym 20 times a month

So,

Cost for option 1 = $6 x 20 = $120

Option 2. Regular deal:

$50 a month + $2 each time

So, Carlo thinks he will go to gym 20 times a month

Cost for option 2 = $50 + 20x(2$) = $90

Similarly,

Option 3. All in one price:  

Fee = one time $100 per month.

Cost for option 3 = $100 per month

Because there is not any each time visit fee in this option, so whether Carlo go to gym 20 times or 30 times a day. he will be charged a fixed fee of $100 a month.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

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