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Ipatiy [6.2K]
2 years ago
8

Compare each set of numbers using <, > or3.082 x 1054.13 x 103Select onem​

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer:

4.13 \times 103 > 3.082 \times 105

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
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Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Graph f(x) = 4[x] + 5
Elena L [17]

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\cocoatextscaling1\cocoaplatform1{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}

{\colortbl;\red255\green255\blue255;\red60\green64\blue67;}

{\*\expandedcolortbl;;\cssrgb\c23529\c25098\c26275;}

\deftab720

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6 0
3 years ago
Can someone help with this?! The answer choices are 1, 1.3, 1.45, and 1.9!
Zarrin [17]
The answer is 1.45 ......
7 0
3 years ago
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Given that €1 =£0.72 a) how much is €410 b) what is the £ to € exchange rate ?
nekit [7.7K]

Answer:

As per the given statement: €1 = £0.72Find how much is €410 in £.then;€410 =  = £295.2Hence, £295.2 much is €410.to find, the exchange rate of £ to €:€1 = £0.72Divide both sides by 0.72 we get;£1 = €1.38

7 0
3 years ago
A line with a slope of 5 passes through the points 6, 6) and (6, 1). What is the value of j?
irakobra [83]

Answer:

Your question cannot be correct

Step-by-step explanation:

A line passing through points (6,6) and (6,1) cannot have a slope of 5.

This line passing through these two points would be a vertical line.  The slope of a vertical line is considered UNDEFINED.

7 0
2 years ago
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