8x+6y=24 solve for x
2 answers:
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The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.
Step-by-step explanation:
Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.
Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).
When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).
When y = + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).
So equation 2 has the closest values to the actaul graph.
Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.
Answer:
He have <u>47</u> ducks and <u>7</u> cows.
Step-by-step explanation:
Given:
Farmer Jones raises ducks and cows.
He looks out his window and sees 54 animals with a total of 122 feet.
Now, to find the each type of animal he have.
Let the number of ducks be
And the number of cows be
So, total number of animals are:
....( 1 )
As, the feet of cows are 4 and ducks are 2.
Now, the total number of feet are:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 108 we get:</em>
<em>Dividing both sides by 2 we get:</em>
<em>The number of cows = 7.</em>
Now, to get the number of ducks we substitute the value of in equation (1):
<em>The number of ducks = 47.</em>
Therefore, he have 47 ducks and 7 cows.