if juliana and brody hiked both of the trails listed in the table, how far did they hike? 3 2/3 and 2 5/6

Bethany s making trail mix with 3 cups of raisins for every 2 cups of peanuts

DaniilM [7]

Answer:

4 cups of raisins

3 cups of dates

6 cups of peanuts

and 2 cups of cashews

ratio cashews to raisins= 2:4

= 1:2

ratio dates to peanuts= 3:6

= 1:2

5 0

3 years ago

A rectangular garden has a walk around it of width x. The garden is 20 ft by 15 ft. Write a function representing the combined w

kodGreya [7K]

Answer: A(x) = 15 ft + 2x

EXPLANATION

Given,

The dimension of the rectangular garden is 20 ft by 15 ft.

Dimension of a rectangle is written as Length by Width

This implies that,

Length of the garden = 20 ft

Width of the garden = 15 ft

The garden has a walk around it of width x.

The combined width of the garden = Width of garden + 2x

[we are adding twice the width of the walk because it is around the garden (this means it will add to the width of the garden on both the left and right sides)]

Combined width of the garden, A(x) = Width of garden + 2x

Since width of the garden = 15 ft

A(x) = 15 ft + 2x

5 0

3 years ago

Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

brainly.com/question/25630111

7 0

2 years ago

What is the least common multiple of 4,5,9, and 11

stepan [7]

1,980 the anwser is right their at least that seems about right if I have calculated it correctly

6 0

3 years ago

Equipment acquired on January 8 at a cost of $212,000 has an estimated useful life of 15 years, has an estimated residual value

dimulka [17.4K]

Answer:

$13,200

Step-by-step explanation:

Depreciation is the systematic allocation of the cost of an asset to the income statement over the estimated useful life of that asset.

It is determined as the depreciable value of the asset over the estimated useful life of the asset where the depreciable value is the difference between the cost and salvage value of the asset

Mathematically,

Depreciation = (Cost - Salvage value)/Estimated useful life

Depreciation

= ($212,000 - $14,000)/15

= $198,000/15

= $13,200

7 0

3 years ago