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AlekseyPX
2 months ago
5

Andy, taylor and ben share their team payment in the ratio 1 : 3 : 4. What percentage of the total does andy receive?

Mathematics
1 answer:
Zina [12.3K]2 months ago
8 0

Answer: Andy's percentage of the total = 12.5%

Explanation:

The payment distribution among Andy, Taylor, and Ben is 1:3:4.

If Andy's amount is x,

Taylor's is 3x,

and Ben's is 4x.

The sum is x + 3x + 4x = 8x.

The question asks for Andy's share as a percentage of the total,

=\frac{x}{8x}\times 100\\=\frac{1}{8}\times 100\\=\frac{100}{8}\\=12.5 \%

This means Andy receives 12.5% of the total.

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Value of sec Square 26 degrees - cot square 64 degrees is
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Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

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Here, 26° and 64° are complementary angles, so

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Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

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\frac{sin^2(64\°)}{sin^2(64\°)}=1

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Study the partial work shown for the following division problem.
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Step-by-step explanation:

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Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
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$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

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