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alexandr402 [8]
3 years ago
12

Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among T

he Gift Bags. (I) Find The Largest Number Of Gift Bags That Can Be Packed. (Ii) Find The Number Of Each Item In A Gift Bag.
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

Step-by-step explanation:

I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all

If you did that, then each gift bag would contain 2 pencils with 10 left over.

Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.

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Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1
liraira [26]

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is 3\frac{3}{4} cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need 2\frac{1}{2} cups of water to

  make 4\frac{1}{3} cups of cooked rice

- Joseph needs 6\frac{1}{2} cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

  for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups   :   water cups   :   cooked cups

⇒ 2                           :   2\frac{1}{2}                   :  4\frac{1}{3}

⇒  x                           :   y                     :  6\frac{1}{2}

- By using cross multiplication

∵ x ( 4\frac{1}{3} ) = 2 ( 6\frac{1}{2} )

∵ 4\frac{1}{3} = \frac{13}{3}

∵ 6\frac{1}{2} = \frac{13}{2}

∴ x ( \frac{13}{3} ) = 2 ( \frac{13}{2} )

∴ \frac{13}{3} x = 13

- Divide both sides by \frac{13}{3}

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( 4\frac{1}{3} ) =  ( 2\frac{1}{2} )( 6\frac{1}{2} )

∵ 2\frac{1}{2} = \frac{5}{2}

∵ 6\frac{1}{2} = \frac{13}{2}

∵ 4\frac{1}{3} = \frac{13}{3}

∴ \frac{13}{3} y = ( \frac{5}{2} )( \frac{13}{2} )

∴ \frac{13}{3} y = \frac{65}{4}

- Divide both sides by \frac{13}{3}

∴ y = 3\frac{3}{4}

∴ The number of the cups of water is 3\frac{3}{4} cups

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Answer:

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Which best describes the relationship between the lines with equations −3x−4y=1 and −6x−8y=2?
Tju [1.3M]

The relationship between 3x+4y=1 and 6x+8y=2 is that they are parallel lines.

<h3>What is the slope-intercept form of an equation?</h3>

Any linear equation has the form of y=mx+b

m is the slope of the equation

b is the y-intercept

The easiest way to see the relationship between the two lines is to transform them both into slope-intercept form, which is y=mx+b.

Equation 1 can be rewritten as

3x+4y=1

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Equation 2 can be rewritten as:

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8y=2-6x

y = \frac{2-6x}{8}

Y= \frac{1-3x}{4}

In this form, we can easily identify that both lines have a slope of -\frac{3}{4}, but that they have different y-intercepts. Lines will equal slopes but different y-intercepts are parallel.

Therefore, the lines are parallel.

To know more about slope-intercept form and parallel lines, visit: brainly.com/question/1612114?referrer=searchResults

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