Answer:
The number of penguins on the island is 17 and the number of bears on the island is 4.
Step-by-step explanation:
We are given that an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island.
Let the number of penguins on the island be 'x' and the number of bears on the island be 'y'.
Also, we know that bears and penguins both have one head, and the bear has 4 feet and the penguin has 2 feet.
<u>So, according to the question;</u>
- The first condition states that there are 21 heads, that means;
x + y = 21
x = 21 - y ---------------- [equation 1]
- The second condition states that there are 50 feet on the island, that means;
2x + 4y = 50
x + 2y = 25
21 - y + 2y = 25 {from equation 1}
y = 25 - 21
y = 4
Now, putting the value of y in equation 1, we get;
x = 21 - y
x = 21 - 4 = 17
Hence, the number of penguins on the island is 17 and the number of bears on the island is 4.
Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function 
being transformed into 
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.
From the given information, a exists jointly proportional to b and c.
then 
Therefore, the value of a exists 2.
<h3>
What is the value of a?</h3>
Given, a exists jointly proportional to b and c.
Taking K as the constant of proportionality.
a = K b c
For b = 8 and c = 9, the value of a = 4
4 = K(8)(9)
4 = 72 K
Dividing the equation by 72, we get
Using the value of K in the equation:
Substitute the values of b = 2 and c = 18, in the above equation
a = 2
Therefore, the value of a exists 2.
To learn more the value of x refers to:
brainly.com/question/11874663
#SPJ4
9514 1404 393
Answer:
360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
