How many 2 and 2/3 yard pieces of rope can be cut from a bundle that has 21 yards of rope
1 answer:
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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:
Sunayana's income is ₹25000 and expenditures are ₹15000.
Step-by-step explanation:
Let i denote the monthly income and e denote the expenditures.
We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:
Let's multiply both sides by e. This yields:
We know that when the income is <em>increased</em> by 5000 and the expenditures are <em>decreased </em>by 3000, the new ratio is 5:2. So, we can write the following proportion:
Let's multiply both sides by :
Since we know that , substitute:
So, let's solve for the expenditures. Distribute the right:
Subtract from both sides:
Subtract 5000 from both sides:
Multiply both sides by -6/5. So, the expenditures are:
We can use the original ratio to find Sunayana's income:
Substitute 15000 for e. Evaluate:
So, Sunayana's income is ₹25000 and expenditures are ₹15000.
And we're done!
Edit: Wrong currency, sorry about that!