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raketka [301]
3 years ago
5

A pet store sells dog food in a 3-pound bag for $12.00 and a 5-pound bag for $14.25. Which bag of dog food is the better buy? Ex

plain.
Mathematics
1 answer:
Bess [88]3 years ago
5 0

The 5-pound bag is better value.

The easiest way to compare and find out which is a better buy is to find out how much is being charged for 1-pound of food in each bag.

$12 is divided by 3 beacuse it's a 3-pound bag and we are aiming to find what 1-pound is equal to.

$12 ÷ 3 = $4

So the first bag charges $4 per pound of food.

Then use the same method for the 5-pound bag.

$14.25 ÷ 5 = $2.85

So the second charges $2.85 per pound of food.

So as we can see, the 5-pound bag is clearly better value. For each pound of food you are saving $1.15 in comparison to what you would be spending if you opted for the first bag.

Hope this helps!

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A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

6 0
3 years ago
Does 3:3 or any full ratio equal 1:1?
postnew [5]

Answer:

yes

_____________________________

you can look at 3:3 as 3/3 which is 1

and 1:1 = 1/1 which is also 1

the ratio sign also means divide.

_____________________________

hope this helps :)

7 0
2 years ago
a basketball court measures 94 feet in length and w feet in width. it's perimeter is 288 feet. which value of w makes the equati
zhuklara [117]
It is 50 a im hoping it is
5 0
3 years ago
x to the second power plus 14x plus 48. what are the factors? we are doing factoring trinomials with a=1
snow_tiger [21]

Answer:

(x + 6)(x + 8)

Step-by-step explanation:

Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )

The factors are + 6 and + 8

since 6 × 8 = 48 and 6 + 8 = 14

x² + 14x + 48 = (x + 6)(x + 8) ← in factored form


3 0
3 years ago
How can I draw the graph with number irrational and rational?
statuscvo [17]
Only graph the rational numbers and draw a line to account for the rest of them
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