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Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer: i dont know im just a furry im not that smart

Step-by-step explanation: i know laugh at my make fun of me i was bullied for my whole life it started when i was in preschool but now im in 12 grade and i stil have been bullied so i dont care im just a fool of myself

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Match the real-world problem to its constant of proportionality.

FrozenT [24]

Real word problem ⇒ constant of proportionality

$4.16 for 4 pounds of bananas ⇒ 1.04

$16.48 for 8 pounds of potatoes ⇒ 2.06

$18.36 for 2 pizzas ⇒ 9.18

2 cups of flour to make 36 cookies ⇒ 18

Solution:

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x,

if for x ∝ y

then, x = y k

Where "k" is called constant of proportionality

$k = \frac{x}{y}$

$4.16 for 4 pounds of bananas

x = 4.16 and y = 4

$k = \frac{4.16}{4} = 1.04$

Thus constant of proportionality is 1.04

$16.48 for 8 pounds of potatoes

x = 16.48 and y = 8

$k = \frac{16.48}{8} = 2.06$

Thus constant of proportionality is 2.06

$18.36 for 2 pizzas

x = 18.36 and y = 2

$k = \frac{18.36}{2} = 9.18$

Thus constant of proportionality is 9.18

2 cups of flour to make 36 cookies

x = 36 and y = 2

$k = \frac{36}{2} = 18$

Thus constant of proportionality is 18

8 0

3 years ago

Gordon types 43 3/4 pages in 3 1/2 hours. What is his rate in pages per hour

Olegator [25]

Answer:

His rate is 12 1/2 pages per hour.

Step-by-step explanation:

Given that,

Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,

$R=\dfrac{\dfrac{175}{4}\ \text{pages}}{\dfrac{7}{2}\ \text{hour}}\\\\R=\dfrac{175}{4}\times \dfrac{2}{7}\\\\R=12.5\ \text{pages per hour}\\\\R=12\dfrac{1}{2}\ \text{pages per hour}$