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evablogger [386]
2 years ago
15

How many 2 and 2/3 yard pieces of rope can be cut from a bundle that has 21 yards of rope

Mathematics
1 answer:
nika2105 [10]2 years ago
7 0

Answer:

21 divided by 2 and 2/3 = 11.1666667

Step-by-step explanation:

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Find the angle of elevation from the point on the ground 90 feet from the base of a building that is 200 feet tall
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Look\ at\ the\ picture.\\\\tg\alpha=\frac{200}{90}\\\\tg\alpha=\frac{20}{9}\\\\tg\alpha=2.222...\\\\\alpha\approx66^o

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3 years ago
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???? Help me please
liberstina [14]

1) I have no idea... -.-

2) $80

3) 12

4) 13

5) 42


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3 years ago
Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also
Anna35 [415]

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 = \frac{-1x}{2} + 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.

8 0
3 years ago
D)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she
Gnom [1K]

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:  

\frac{i}{e}=\frac{5}{3}

Let's multiply both sides by e. This yields:

i=\frac{5}{3}e

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:

\frac{i+5000}{e-3000}=\frac{5}{2}

Let's multiply both sides by (e-3000):

i+5000=\frac{5}{2}(e-3000)

Since we know that i=\frac{5}{3}e, substitute:

\frac{5}{3}e+5000=\frac{5}{2}(e-3000)

So, let's solve for the expenditures. Distribute the right:

\frac{5}{3}e+5000=\frac{5}{2}e-7500

Subtract \frac{5}{2}e from both sides:

-\frac{5}{6}e+5000=-7500

Subtract 5000 from both sides:

-\frac{5}{6}e=-12500

Multiply both sides by -6/5. So, the expenditures are:

e=\text{Rs }15000

We can use the original ratio to find Sunayana's income:

i=\frac{5}{3}e

Substitute 15000 for e. Evaluate:

i=\frac{5}{3}(15000)=\text{Rs }25000

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Edit: Wrong currency, sorry about that!

3 0
3 years ago
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