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21 day ago

Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)

Mathematics

1 answer:

AnnZ [9K]21 day ago

6 0

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

$2.2x = 1$

$x = \frac{1}{2.2}$

$x = 0.45$ kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

$0.45x = 4.40$

$x = \frac{4.40}{0.45}$

$x = 9.70$

The price is $9.70 per kilogram.

Solution Procedure

Considering the spool as a cylindrical shape, and calculating the circumference based on the area cited, we establish the connection between circumference and area as follows:

... C = 2√(πA)

To find ten times this circumference, we calculate:

... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm

Derivation of Formulas

The standard formulas for circumference and area are:

... C = 2πr

... A = πr²

Multiplying the area formula by π and extracting the square root yields:

... πA = (πr)²

... √(πA) = πr

Doubling this value results in the circumference formula:

... C = 2√(πA) = 2πr

3 0

1 month ago

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

Zina [9157]

Answer:

The price per kilogram of salami amounts to = $9.1

Step-by-step explanation:

Given:

Hailey spent $13 on $1\frac{3}{7}$ kg of sliced salami.

We need to determine the cost per kg of the salami.

Solution:

We will use the unitary method to find the cost for one kilogram of salami.

If $1\frac{3}{7}$ kg of salami costs $13

Then the cost for 1 kg of salami in dollars = $13\div 1\frac{3}{7}$

When dividing mixed numbers, we convert them to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

To divide fractions, we take the reciprocal of the divisor and multiply.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Hence, the cost per kilogram of salami is = $9.1

3 0

1 month ago

Read 2 more answers

To reduce wear and tear on the family vehicle, you decide to rent a car. Happy Harry’s Rentals has a $500 fee for any rental up

Inessa [8989]

Assuming a maximum rental duration of 8 days, if we apply this to the equation, Happy Harry's Rentals costs $500, while Smilin' Sam's charges $600. Therefore, for the 7th and 8th days, Happy Harry's Rentals is a better option, while Smilin' Sam's is preferable for the first six days.

8 0

2 days ago

A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,

Svet_ta [9486]

The initial value stands at 20,300, decreasing annually by 9.5%.

Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.

A 9.5% reduction means multiplying by 91.5% every year.

We express this mathematically. Plugging in 11 years for t yields.

$A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18$

$7,671.18

6 0

1 month ago

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find t

Inessa [8989]

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

The storage pod features a rectangular base measuring 19 feet by 13 feet, with a flat ceiling height of 5 feet above.

Calculating the area of the floor yields: length multiplied by width

Length = 19 feet

Width = 13 feet

Area = 19*13

Area = 247 feet²

The volume of the pod can be found by multiplying the area by the height

Height of the pod = 5 feet

Area = 247 feet²

Volume = 247*5

Volume = 1235 feet³

4 0

16 days ago