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Tems11 [23]
2 years ago
13

A pet store sells puppies and kittens in the ratio 5 : 4 . If their sales of puppies and kittens combined came to 27, how many p

uppies did they sell?
Mathematics
2 answers:
Anika [276]2 years ago
4 0

Answer:

15 puppies

Step-by-step explanation:

A pet store sells puppies and kittens in the ratio 5 : 4

As per the ratio, total puppies and kittens is 5+4= 9

If their sales of puppies and kittens combined came to 27

The ratio of puppies to the total is 5:9

LEt x be the puppies sold

RAtio of puppies sold to the total is x: 27

Now make a proportion using the ratio and solve for x

\frac{5}{9} =\frac{x}{27}

cross multiply it

135=9x

Divide both sides by 9

x=15

S, 15 puppies

dimulka [17.4K]2 years ago
3 0
So puppies will be 5x and Kittens 4 x so they combined will be 5x+4x=27
9x=27
X=3
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Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

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3 years ago
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A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

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A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

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