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s344n2d4d5 [400]

2 years ago

8

It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar. a. Find the cons

tant of proportionality for this situation. b. Write an equation to represent the relationship.

1 answer:

Contact [7]2 years ago

6 0

x is the number of packs 3x=15$ x=5$

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The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest pen

aliina [53]

Answer:

537.6

Step-by-step explanation:

0.93*x=500

x=500/0.93

x=537.6

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3 years ago

The value of x is? also can you explain how to do this?

jek_recluse [69]

We have to know the angle that is not labelled. (lets call it y)
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3 years ago

Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n

Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip. We know it was 18% of the total. So...

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-------------------- (divide by 100 to get x by itself)

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So now we know how much the tip was, we subtract it from the bill

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3 years ago

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3 years ago

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

5 0

3 years ago

Read 2 more answers