All categories

3 years ago

Apples are on sale for $3.12 per kilogram. Is the total cost of the apples proportional to the total mass?

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

6 0

Answer: Yes

Tc = 3.12m

Therefore, total cost of apple is directly proportional to the total mass with a proportionality constant of 3.12.

Step-by-step explanation:

The total cost of the apples is proportional to the total mass. The product of the mass and the cost per mass ($3.12) gives the total cost.

It can be shown using the equation below

Tc = c×m

Where Tc = total cost

c = cost per unit mass

m = total mass in kilogram

Tc = 3.12m

Therefore, total cost of apple is directly proportional to the total mass with a proportionality constant of 3.12.

Arisa [49]3 years ago

3 0

Answer:

Yes.

Step-by-step explanation:

We have given the price of apple per kilogram.

Hence, price of total apples is equal to the product of number of apples and price per kilogram of apple.

You might be interested in

Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69

anastassius [24]

Answer:

(a) 7.6%

(b) 46.2% 42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}$

$f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}$

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}$

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}$

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0

3 years ago

If you earn $12 an hour and you work 40 hours a week,<br> how much do you earn a month?

qaws [65]

Answer:

$1,920

Step-by-step explanation:

you multiply 12 by 40. then, assuming a typical month is 4 weeks, you multiply that number by 4.

4 0

3 years ago

Read 2 more answers

Michael consumes a 16-ounce bag of potato chips and 12-ounce bag of pretzels every day after school. How many more ounces of pot

Paladinen [302]

Every day, Michael consumes 4 more ounces than the pretzels. Multiply 5 by 4 to recieve the answer:

4 x 5 = 20

So the answer is A.

7 0

2 years ago

Read 2 more answers

A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups o

Ivahew [28]

Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

8 0

3 years ago

Your parents drove the family car 462 miles on 14 gallons of gas. On average how many miles did the car travel on each gallon of

Yuki888 [10]

462/14 = 33 miles on each gallon

3 0

3 years ago