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slava [35]
3 years ago
7

Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-1/2 pound box of crackers for $4.68. What is the uni

t price for Price-club and Shop Mart
Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1 1/2 -pound box of crackers for $4.68. The unit price at Price-Club is $ per ounce, and the unit price at Shop Mart is $ per ounce

Answer:

Unit price at Price-Club is $0.216 per ounce, and unit price at Shop Mart is $0.216 per ounce

Step-by-step explanation:

Price-club sells

12ounces = $2.59

Price per ounce = 2.59/12 = $0.216

Shop Mart sells:

1 1/2 pounds = $4.68

Since 1 pound = 16 ounces

1 1/2 pounds = 16 x 1.5 ounces = 24ounces

Price per ounce = 4.68/24 = $0.195

Unit price at Price-Club is $0.216 per ounce, and unit price at Shop Mart is $0.216 per ounce

katen-ka-za [31]3 years ago
7 0

Unit price would be the price per ounce.

Divide the total cost by the number of ounces:

Price Club : 2.59 / 12 = $0.216 per ounce

Shop Mart: 1-1/2 pounds = 1.5 x 16 = 24 ounces.

4.68 / 24 = $0.195 per ounce.

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Answer:

AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle

Step-by-step explanation:

The distance between two points (x_1,y_1),\ (x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Here A(1,5),\ B(3,-2),\ C(-3,0) are the vertices of a triangle.

AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit

Longest side=AB

AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2

Hence this is an acute triangle.

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