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irina [24]
3 years ago
7

21. Angela until the same restaurant four times. Each time she ordered a salad and left at $ 5 tip. She spent a total of $ 54. W

rite and solve an equation to find the Cost of each salad
Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0
8.50 because you divide jkdjwnw
Natalka [10]3 years ago
3 0

So if Angela entered the same restaurant 4 times, we have 4 "instances" of her entering the restaurant.

Each instance, she ordered a salad. The price of this salad is unknown, so we'll say the price is "S".

Each instance, she payed a $5 tip.

So we have 4 instances of spending S, and 4 instances of spending 5.

We know this totals 54.

Knowing all of this information, we can write our equation like this:

4(S + 5) = 54

Divide

S + 5 = 13.50

Subtract

S = 8.50

The cost of salad is $8.50

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Answer:

a

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b

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c

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         H= f(t)

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        |f(35)'| =  1.5

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         |f(35)| =  68

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  \frac{30}{60}= 0.5 \ minutes the  rate  of change of the temperature of the cup of  coffee is  

          R =  |f(35)'| *  t

=>        R = 1.5  *  0.5

=>        R = 0.75    

So

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.  

     

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