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2 months ago

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

Leona [12618]

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°),

the identity is

cos(A) = sin(B)

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

$\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}$

Substituting values,

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

$\frac{1-cos^2(64\°)}{sin^2(64\°)}$

From this, we find

$1-cos^2(64\°)=sin^2(64\°)$

By substitution,

$\frac{sin^2(64\°)}{sin^2(64\°)}=1$

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2 months ago

Study the partial work shown for the following division problem.

zzz [12365]

Answer:

-14x is different from 12x², thus they cannot be combined.

To avoid this mistake, ensure that similar terms are properly aligned.

Step-by-step explanation:

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1 month ago

Read 2 more answers

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

lawyer [12517]

Answer:

$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:

$x-30-((x-30)\times\frac{25}{100})\leq 60$