Oliver uses the greatest common factor and the distributive property to rewrite this sum:

1 answer:

7 0

The greatest common factor of 64 and 96 is 32, so, the first step after finding the great common factor is convert and rewrite "64 + 96" into distributive property.

You should get 32(2 + 3)

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Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows

vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5 (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5 (2)

Multiply the first equation by 2.

8x + 6y = 47 (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

= 12.5 + 13.5

= 26

Hence, cost of 5 notebooks and 3 binders is $26.

4 0

3 years ago

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by

Allushta [10]

As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people? Let's just go with it.

$18x + \dfrac{35}{x}$

$= \dfrac{18x^2}{x} + \dfrac{35}{x}$

$= \dfrac{18x^2 + 35}{x}$

That's the answer to the first part.

35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.

4 0

3 years ago

Find the equation for a parabola if the vertex is 6,9

devlian [24]

The equation for a parabola with vertex (h, k) and vertical scale factor "a" is
y = a(x -h)² + k

One parabola with vertex (6, 9) is
y = (x-6)² +9