A hotel offers two activity packages. One costs $192 and includes 3 h

Mathematics

1 answer:

poizon [28]3 years ago

3 0

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

2(3x + 2y = 192)

+ -3(2x + 3y = 213)

-5y = - 255

y = $ 51

Substitute y :

3x + 2y = 192

3x + 2(51) = 192

x = $ 30

Hope this answer will be a good help for you.

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Factor 4a2 - 25. A. (2a + 5)(2a + 5) B. (2a - 5)(2a - 5) C. (2a - 5)(2a + 5)

nikdorinn [45]

This is the diference of 2 perfect squares. 4 is a perfect square, x^2 is a perfect square, and 25 is a perfect square. The pattern for this is (ax + b)(ax - b). Our a is 2 since 2*2 = 4, and our b is 5 since 5*5 = 25. So your factors are (2a+5)(2a-5), choice C.

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3 years ago

5000 people went to vote. Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes. What percentage does can

boyakko [2]

The percentage of votes claimed by Adam is 53.62 %

Solution:

Given that, 5000 people went to vote

Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes

To find: Percentage claimed by Adam

From given,

Total number of votes = 5000

Votes claimed by Adam = 2681

The formula used is:

$Percentage\ claimed\ by\ Adam = \frac{\text{votes claimed by adam}}{\text{Total number of votes}} \times 100$

Substituting the values we get,

$Percentage\ claimed\ by\ Adam = \frac{2681}{5000} \times 100\\\\Percentage\ claimed\ by\ Adam = 0.5362 \times 100\\\\Percentage\ claimed\ by\ Adam = 53.62$