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3 years ago

Including an 18% tip, Ms. Guy and her friends spent $74.93 on dinner. What was the cost of the dinner excluding the tip?

Mathematics

2 answers:

Stells [14]3 years ago

7 0

Answer:

$61.40

Step-by-step explanation:

I solved this question by using the O.P.N if you don't know what the O.P.N Chart is here is what it means.

The O represents the original price.

The P represents the percent

and Finally the N represents the New cost.

Use the image below to see how to use the O.P.N Chart and how I solved this question.

If you have any other questions call me using my phone number "551 - 263 - 6579" or "+ 551 - 263 - 6579"

12345 [234]3 years ago

6 0

Answer:

61.45

Step-by-step explanation:

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

3 years ago

Which mixed number is equal to 27/6?

zmey [24]

Answer:

4 $\frac{3}{6}$

Step-by-step explanation:

8 0

2 years ago

Tucson , Arizona is about 75 miles south and 70 miles east of phoenix. What is the distance from Phoenix to Tucson?

asambeis [7]

I think you add both of them together and you get 145

8 0

3 years ago

sarah meeham blends coffee for tasti delight. she needs to prepare 160 pounds of blended coffee beans selling for $4.97 per poun

Viefleur [7K]

Given:
h = high quality bean ; costs 6 per pound
c = cheaper bean ; costs 3.25 per pound

160 pounds of blended coffee beans at 4.97 per pound

h + c = 160

6h + 3.25c = 160(4.97)
6h + 3.25c = 795.20

h = 160 - c

6(160-c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
- 2.75c = 795.20 - 960
- 2.75c = -164.80
c = - 164.80 / -2.75
c = 59.92 or 60 pounds

h = 160 - c
h = 160 - 60
h = 100 pounds

Sarah must blend 100 pounds of high quality bean and 60 pounds of cheaper bean.

3 0

3 years ago

If (-3)^-5=1/x what is the value of x Answers: -243 -1/243 1/243 243

Inga [223]

Solve -3^-5.

Knowing that $x^{-1} = \frac{1}{x}$ , then $-3^{-5}= \frac{-1}{243}$

That means that x = -243.

6 0

3 years ago