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3 years ago

REVERSE PROPORTION

Mathematics

1 answer:

muminat3 years ago

5 0

9514 1404 393

Answer:

33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

1.40 × purchase price = £42

purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

£30 × 40% = £12

The purchase price of the skirt is ...

total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

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How many fluid ounces in 8 ounces and 5 cups?

xenn [34]

<span>48 fluid ounces is the right answer</span>

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4 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

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3 years ago

Matilda, Tanya and Renee are auditioning for a play. In how many ways can the girls fill the roles of a grandmother, mother, and

solmaris [256]

The girls fill the roles of a grandmother, mother, and daughter by permutation. It is a way, especially one of several possible variations, in which a set or number of things can be ordered or arranged. Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

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3 years ago

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What is seven million written as numeral?

timama [110]

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Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

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3 years ago

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HELP THIS IS DUE SOON!!!

aev [14]

Answer:

x≥9

Step-by-step explanation:

Pretend the Less than or equal to sign is just an equals sign

-7x+7=-56 Solve:

-7x=-56-7

-7x=-63

For the last step, if you divide a negative number, the Sign switches. So not the sign is greater than or equal to.

x>=9

6 0

3 years ago

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