The largest species of penguins is the emperor penguin. one of the smallest is the galápagos penguin. the total height of the two penguins is 169 centimeters. the emperor penguin is 22 centimeters more than twice the height of the galápagos penguin. find the height of each penguin

The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

Solution:

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

To find: height of each penguin

From given question,

Let "e" be the height of emperor penguin

Let "g" be the height of galapagos penguin

Total height of two penguins = 169 centimeter

Therefore,

height of emperor penguin + height of galapagos penguin = 169

e + g = 169   eqn 1

The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin

height of emperor penguin = 22 + 2(height of galapagos penguin)

e = 22 + 2g --- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

g = 169 - e eqn 3

Substitute eqn 3 in eqn 2

e = 22 + 2(169 - e)

e = 22 + 338 - 2e

e + 2e = 360

3e = 360

Thus from eqn 3,

g = 169 - 120

Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

x = 23.78

step-by-step explanation: