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3 years ago

At Mr.Hernandez's floral shop, 1 1/2 dozen roses cost $38.70. In dollars and cents what is the cost of a single rose

Mathematics

2 answers:

melomori [17]3 years ago

4 0

Answer:

$2.15

The rose-buying public still encounters a wide variety in pricing - anything from $10 or under for a dozen red roses at the local corner store to $20 at the supermarket, to more than $90 at a high-end florist

beks73 [17]3 years ago

3 0

Answer:

$2.15 per rose

Step-by-step explanation:

38.70÷18=2.15

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Andru [333]

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

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2 years ago

Find the equation of the straigt line

natka813 [3]

Given :

A graph with a straight line on it.

To Find :

The equation of the line.

Solution :

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3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

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3 years ago

The sum of three consecutive integers is 168. What are the integers

Tema [17]

Answer:

3X + 3 = 168

3X + 3 - 3 = 168 - 3

3X = 165

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X = 55

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168

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3 years ago