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3 years ago

Mrs. Davis bought 6 pounds of grapes for $18. At this rate, how much would 72 ounces of grapes have cost?

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

Answer:

Step-by-step explanation:

1 pound = 16 ounce

6 pound = 6 * 16 = 96 ounces

Cost of 96 ounces of grapes = $18

Cost of 1 ounce of grape = 18/96

Cost of 72 ounces of grape = 18*72 / 96 = 27/2

= $13.50

Direct Proportion because is weight increase, the cost will increase

96:18 = 72 : x

Product of means = Product of extremes

18*72 = x*96

18*72/96 = x

x =$13.50

Margaret [11]3 years ago

7 0

Answer:

216

Step-by-step explanation:

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Answer:

XY measures √26units.

XYZ is an isosceles triangle.

XYZ is a right triangle.

Step-by-step explanation:

The given triangle has vertices $X(-1,5),Y(4,4),(-2,0)$

We now apply the distance formula to find the length of all sides to obtain;

$|XY|=\sqrt{(4--1)^2+(4-5)^2}$

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$|XY|=\sqrt{25+1}$

$|XY|=\sqrt{26}$

The length of YZ is

$|YZ|=\sqrt{(4--2)^2+(4-0)^2}$

$|YZ|=\sqrt{(4+2)^2+(4-0)^2}$

$|YZ|=\sqrt{6^2+(4)^2}$

$|YZ|=\sqrt{36+16}$

$|YZ|=\sqrt{52}$

The length of ZX is

$|ZX|=\sqrt{(-2--1)^2+(0-5)^2}$

$|ZX|=\sqrt{(-2+1)^2+(0-5)^2}$

$|ZX|=\sqrt{(-1)^2+(-5)^2}$

$|ZX|=\sqrt{1+25}$

$|ZX|=\sqrt{26}$

Since

$|XY|=\sqrt{26}=|ZX|$

The triangle is isosceles.

Slope of XZ

$\frac{5-0}{-1--2}=\frac{5}{1} =5$

Slope of XY

$=\frac{4-5}{4--1}=-\frac{1}{5}$

Since

$\frac{-1}{5}\times 5=-1$

The triangle is a right angle triangle.

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