MATHEMATICS HIGH SCHOOL

There are two types of trees: elm and pine. There should be at least 16 total trees but no more than 30. The ratio of elm trees to pine trees will be 3:2. Give an example of how many trees of each type the designer could plan for the park. Show or explain how you found your answer.

Answers

Answer 1

Answer:

Answer: 18 pine trees / 12 elm trees

Step-by-step explanation:

To meet the requirement of at least 16 but no more than 30 trees with a 3:2 ratio of elm to pine trees, we can choose:

Elm Trees: 3x

Pine Trees: 2x

Where x is a positive integer. To stay within the given constraints:

3x + 2x ≥ 16 (at least 16 trees)

5x ≥ 16

x ≥ 16/5

x ≥ 3.2

We need to find the largest integer value for x while staying below 30 (no more than 30 trees). Since x must be an integer, the largest valid value for x is 6 (as 7 would exceed 30).

So, for the example:

Elm Trees = 3x = 3 * 6 = 18

Pine Trees = 2x = 2 * 6 = 12

In this case, there would be 18 elm trees and 12 pine trees, totaling 30 trees, which falls within the range of at least 16 but no more than 30 trees and maintains the 3:2 ratio of elm to pine trees.

Related Questions

An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?
A flight instructor charges $50 per lesson, plus anadditional fee for the use of his plane. The charge for the use of the plane varies directly with the square root of the time the plane is used. If a lesson plus 16 minutes of plane usage costs $90, what is the total amount charged for a lesson having 36 minutes of plane usage?
A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given s=-16t^2+v0t. Find the tim(s) that the projectile will (a) reach a height of 128 ft and (b) return to the ground when v0 is 64 feet per second
Nadine bought 5 quarts of oil for her car. How many fluid ounces is that?
Just the red triangle use the Phytogram theorem please :(

2x² - 6x +11=0
Identify the values of a, b , c in the quadratic equation

Answers

Answer:

a = 2, b = - 6, c = 11

Step-by-step explanation:

The standard form of a quadratic equation is

ax² + bx + c = 0 : a ≠ 0

Compare the coefficients of the terms in standard form to

2x² - 6x + 11 = 0 ← in standard form

Thus a = 2, b = - 6 and c = 11

Answer:

2x² - 6x + 11 = 0

a = 2

b = -6

c = 11

Divide -12×8y8 by 3×⁴y²

Answers

-12x⁸y⁸ ÷ 3x⁴y².

Applying laws of indices. When you divide same base, you subtract the powers.

= (-12/3)x⁸⁻⁴y⁸⁻²

= -4x⁴y⁶

Solve the quadratic equation by completing the square.x^2+4x-6=0

First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

1.16, - 5.16

Working
Take 6 to the other side
x^2+4x = 6
Find the 3rd for the left hand side:
x^2+4x+ (4/2)^2= 6 + (4/2)^2
Factoring the LHS gives
(x+2)^2=10
Finding square roots on both sides:
x+2=square root of 10
x+2= +3.1623 or - 3.1623
x=3.1623-2
=1.16
or
x= -3.1623 - 2
= - 5.16

What is 2/3 divided by 5/3

Answers

Answer:

2/5

Step-by-step explanation:

Step 1:

2/3 ÷ 5/3 Equation

Step 2:

2/3 × 3/5 Reciprocal

Answer:

2/5 Multiply

Hope This Helps :)

A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if _____.
A.The probability of getting a red car or a convertible is 0.60.
B.The probability of getting a red car or a convertible is 0.08.
C.The probability of getting a red convertible is 0
D.The probability of getting a red convertible is 0.08