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3 years ago

Please help which property is illustrated by this example (5 . 15) . 4 = 5 . (15 . 4)

Mathematics

1 answer:

Talja [164]3 years ago

4 0

Answer:

This is the commutative property of multiplication.

Step-by-step explanation:

We know this because that property states that it does not matter what order the numbers are multiplied together, as long as they are all being multiplied. So even though the numbers change on both sides, it does not affect the answer.

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What is the LCD of the following rational expressions?

Aloiza [94]

$\dfrac{x}{x+1} \ , \ \dfrac{7x}{x-1}$

$\dfrac{x (x -1)}{(x+1)(x -1)} \ , \ \dfrac{7x(x+1)}{(x-1)(x+ 1)}$

<u>We know that (a + b)(a - b) = a² - b²:</u>

$\dfrac{x (x -1)}{x^2 - 1}} \ , \ \dfrac{7x(x+1)} {x^2 - 1}$

Answer: LCD = ( x + 1) (x - 1)

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3 years ago

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A fishing lake was stocked with 350 trout. each year,the population decreases by 14. the population of trout in the lake after x

Lubov Fominskaja [6]

Check the attached file for the solution.

7 0

3 years ago

Draw a diagram that shows 1/5 times 30 equals 6

MrMuchimi

Total number = 30

1/5 of 30 = 1/5 x 30 = 6

The attached figures show the total number of filled circles in five lines. Each line have “6” filled circles.

So 5 lines having 6 filled circles = 5 x 6 = 30

<span>Every line represents “1/5” of total amount “30”. Which proved that 1/5 of 30 is equal to 6. </span>

3 0

3 years ago

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Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us w

amm1812

Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the rate of change

b is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

set-up charge

∴ The cost per mug = $4

∴ m = 4

∴ The fixed amount = $30

∴ b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4x + 30 ⇒ (1)

∵ Mugs Are Us will make them for $4.50 each with no set-up charge

∴ The cost per mug = $4.50

∴ m = 4.5

∴ The fixed amount = 0

∴ b = 0

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4.5x + 0

∴ y= 4.5x ⇒ (2)

∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

∴ 4.5x = 4x + 30

→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

∴ 0.5x = 30

→ Divide both sides by 0.5

∴ x = 60

∴ The price will be the same for both companies at 60 mugs

4 0

2 years ago

Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and fi

Nady [450]

Answer:

88 cm

Step-by-step explanation:

body to tail = length of body + length of tail

body to tail = 54 cm + 34 cm

body to tail = 88 cm

7 0

2 years ago