Simplify. 5(x - y) - (x - y) a. x - y b. x y c. 4x

The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula

Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015 = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000 - 15, 000

= 30,000

⇒ The change in population in 10 years = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years = 30,000

⇒ The change in population in next 10 years

= Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0

2 years ago

When filled, a particular round balloon has a diameter of 14 inches (in.).

icang [17]

Answer:

1436.76 in.^3

Step-by-step explanation:

This question means to find the volume of a sphere with a diameter of 14 inches. The formula for the volume of a sphere is 4/3πr^3, so we need to find the radius, which is half the diameter. Half of the diameter is 7 inches, so now we can plug in our values to find the volume is about 1436.76 cubic inches.

4 0

2 years ago

Divide: 26xy - 39y 13y

aleksandr82 [10.1K]

Divide the equation by???

5 0

2 years ago

Tell whether or not the measurements below form a triangle:

finlep [7]

Answer:

Below.

Step-by-step explanation:

If the sum of any 2 sides are less than or equal to the third side then there's no triangle

1. N0 because 4 + 5 < 10

2. YES

3. NO because 2 + 3 = 5.

6 0

2 years ago

Read 2 more answers

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

sveticcg [70]

Answer:

Part 1: 25x ≥ 600

Part 2: 15y ≥ 600

Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

1. Money earned by Jamie washing cars for $25 each

Let x represent the number of cars Jaime washes.

25x

2. Money earned by Stella making pecan pies for $15 each

Let y represent the number of pies she makes

15y

3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

15y ≥ 600

y ≥ 600 / 15

y ≥ 40

From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

y ≥ 40 ∩ y ≤ = 40 = 40.

Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

6 0

3 years ago

Simplify. 5(x - y) - (x - y) a. x - y b. x y c. 4x - 4y d. 4x 4y