Perimeter rectangle is 146 units. Need the length for QR. "length is 3x and the width is 4x+3

1 answer:

3 0

Hello!

In rectangles we know that to find perimeter we use: length + length + width + width = perimeter. This can be simplified to 2(length) + 2(width) = perimeter.

We are given equations for length and width and given an amount for perimeter so let's plug it in and solve!
Length = 3x
Width = 4x+3

2(3x) + 2(4x+3) = 146
6x + 8x + 6 = 146
14x = 140
x = 10

Now that we know x, plug it into your length and width equations.

Length: 3(10) = 30
Width: 4(10) + 3 = 43

Length is 30 units and width is 43 units.

I hope this helped! :)

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On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, <img src="https://tex.z-dn

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Answer:

The profit of the bakery for this batch of rolls is C. $ 132

Step-by-step explanation:

You know the following this about the problem:

xy=300 is the total cost of the production of the rolls, where x is the cost of the rolls and y is the number of rolls.
Day 1 the bakery sold 4/5 of the rolls at 1.50 its value.
Day 2 the bakery sold 1/5 of the rolls ar 0.8 of the price of Day 1.

$Day1=1.50x\frac{4}{5}y=\frac{3}{2}x\frac{4}{5}y=\frac{6}{5}xy\\Day2=0.8\frac{3}{2}x\frac{1}{5}y=\frac{4}{5}\frac{3}{2}x\frac{1}{5}y=\frac{6}{25}xy$