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4 years ago

Please help if so thank you

Mathematics

2 answers:

kozerog [31]4 years ago

8 0

44+ 88= 132, 132 dollars

alekssr [168]4 years ago

7 0

1+(44×2)= cost of Oliver's retirement party

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Hannah is filling a 15 gallon cooler with water. The cooler is filling at a rate of 2.5 gallons every 90 seconds. At this rate h

Elan Coil [88]

Answer:

540

Step-by-step explanation:

divide 15 by 2.5 then multiply that answer by 90

3 0

3 years ago

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest c

Anettt [7]

Answer:

$\$3.20\ per\ kilogram$

Step-by-step explanation:

we have that

The price of grapes at the grocery store is $1.44\frac{\$}{pound}$

$0.45\ kg=1\ pound$

To convert $1.44\frac{\$}{pound}$ to $\frac{\$}{kilogram}$ divide by $0.45$

$1.44/0.45=3.20\frac{\$}{kilogram}$

6 0

4 years ago

Read 2 more answers

Henry has a 12 m wire. He cuts 12.5% of the wire. How long is the wire that Henry cut?

Korvikt [17]

10ml would be the answer to this question

7 0

3 years ago

Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of t as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At t = 0 the value of P is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine k as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

3 0

3 years ago

the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle

WINSTONCH [101]

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width ==> L = 3*W - 4

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width ==> P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives

2*W + 2*L = 2*W + 22

2*L = 22

L = 11

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5

Check: 3*W - 4 = 11 = Length

Perimeter = 32 = 22 more than 2*5 = 10

3 0

3 years ago