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3 years ago

Can anyone please help me with this question

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

9514 1404 393

Answer:

y ≥ 1/4x + 2

Step-by-step explanation:

The line is solid, and the shading is above it, so the inequality will have a form similar to ...

y ≥ [the boundary line]

The y-intercept is y = 2, and the slope is 1 unit up for 4 units right, so 1/4. In slope-intercept form, the equation of the boundary line is ...

y = mx + b . . . . . . for slope m and y-intercept b

This boundary line has equation ...

y = 1/4x + 2

So, the inequality is ...

y ≥ 1/4x + 2

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3 years ago

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3 years ago

Paulie ordered 250 pens and 250 pencils. The pens cost 11 cents more then the pencils. If her order costs 42.50 how much does it

lidiya [134]

Answer:

The cost of each pen is $0.14 and the cost of each pencil is $0.03.

Step-by-step explanation:

Given:

Paulie ordered 250 pens and 250 pencils.

The pens cost 11 cents more than the pencils.

Her order costs $42.50.

Now, to find the cost of each pen and pencil.

Let the price of a pencil be $x.$

So, the price of 250 pencils = $250x.$

And the price of a pen be $x+0.11.$

Thus, the price of 250 pens = $250(x+0.11).$

Now, to get the cost of each pen and pencil:

According to question:

$250x+250(x+0.11)=42.50$

$250x+250x+27.50=42.50$

$500x+27.50=42.50$

Subtracting both sides by 27.50 we get:

$500x=15$

Dividing both sides by 500 we get:

$x=0.03$

So, the price of a pencil = $0.03.

And the price of a pen = $x+11=0.03+0.11=\$0.14.$

Therefore, the cost of each pen is $0.14 and the cost of each pencil is $0.03.

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4 years ago

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Once you've finished this, add together all the volumes of all the ingredients to obtain the number of cups of dry snack mix.

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3 years ago