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olchik [2.2K]
3 years ago
12

The sugar sweet company will choose from two companies to transport its sugar to market. The first company charges 5500 to rent

trucks plus an additional fee of 150.50 for each ton of sugar. The second company charges 4696 to run trucks plus an additional fee of 200.75 for each tun of sugar
Mathematics
1 answer:
Elden [556K]3 years ago
5 0
Call the amount of sugar x tons
+ <span>The first company charges 5500 to rent trucks plus an additional fee of 150.50 for each ton of sugar and we have spend: 5500+ 150.50x
+ </span><span>The second company charges 4696 to run trucks plus an additional fee of 200.75 for each tun of sugar </span>and we have spend<span>: 4696+ 200.75x

We solve x for </span>5500+ 150.50x> <span>4696+ 200.75x
or </span> 150.50x- <span>200.75x > </span>4696-5500
and  - 50.25x >  - 304
or x < 304:50.25= 6.049
So we have the answer
+ If we have at least 7 tons of sugar we choose the first company and if not we choose the second.
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\mathfrak{5x + 15 = 28}

\mathfrak{5x = 28-15}

\mathfrak{5x = 13}

\boxed{\mathfrak{x = \dfrac{13}{5}}} → option B.

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JulsSmile [24]

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

2\times l\times w=2lw          ...(i)

The product of twice of the length l and the height is:

2\times l\times h=2lh           ...(ii)

The product of twice of the width w and the height h is:

2\times w\times h=2wh       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

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Answer:

99 square units

Step-by-step explanation:

The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.

Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.

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Find the area of a kite with diagonal length of 10 and 25 meters.
Sholpan [36]

The Area of the kite with the given diagonals is: 125 square meters.

<h3>What is a Kite?</h3>

A kite can be described as a quadrilateral having four (4) sides, which can be categorized into two pairs of congruent sides, each of them is adjacent to the other. A kite has two diagonals that intersect, where by the longer diagonal divides the smaller diagonal into equal halves.

An example of a kite is shown in the image attached below, where:

JL and KM are the diagonals of the kite.

<h3>How to Find the Area of a Kite?</h3>

The formula for finding the area of a kite is given as:

Area = 1/2 × (product of the lengths of the diagonals)

Given the following:

Length of diagonal 1 = 10 meters

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Area = 1/2 × (product of the lengths of the diagonals) = 1/2 × (10 × 25)

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Area of kite = 125 square meters.

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