I need the answers to 15,16,17,18

Mathematics

1 answer:

Mila [183]3 years ago

8 0

Well for 17 it’s 125%

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Calculate percentage to the nearest 0.1%.

Anna71 [15]

9514 1404 393

Answer:

a. $4.17

b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

t : c = 10 : 3

The menu price of the pie slice will be ...

$1.25 × 7/3 ≈ $4.17

b. The ratio of markup to cost is ...

m : c = 7 : 3 ≈ 2.333 = 233.3%

4 0

3 years ago

Determine an exact value for sin _ 3π/4-tan 5π/6

iris [78.8K]

Answer:

$\frac{3\sqrt{2}+2\sqrt{3}}{6}$ or $\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}$

Step-by-step explanation:

$\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}$