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3 years ago

Easy question, please help

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Step-by-step explanation:

All you need to do is divide cost by mile since they already factored in the additional $3 for you.

1. 8/5 = $1.60

2. 11/8 = $1.375 = $1.38

3. 23/20 = $1.15

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Patrick can learn 42 blessings in 6 hours. At that rate, how many blessings can he learn in 9 hours?

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2 years ago

Seis manzanas y 8 peras cuestan $26. ¿Cuanto cuesta cada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo qu

Rom4ik [11]

Usando un sistema de ecuaciones, se encuentra que

Cada manzana cuesta $3.
Cada pera cuesta $1.

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Un sistema de ecuaciones soluciona esta pergunta.
El custo de una manzana es x.
El custo de una pera es y.

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Seis manzanas y 8 peras cuestan $26, o sea, $6x + 8y = 26$
Cada manzana cuesta el triple de cada pera, o sea, $x = 3y$

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Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

$6x + 8y = 26$

$6(3y) + 8y = 26$

$18y + 8y = 26$

$26y = 26$

$y = \frac{26}{26}$

$y = 1$

Cada pera cuesta $1.

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Cada manzana cuesta el triple de cada pera, o sea, $x = 3y = 3(1) = 3$ .

Cada manzana cuesta $3.

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6 0

3 years ago

Factor 9x^2+66xy+121y^2

Korvikt [17]

Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

[ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

7 0

4 years ago