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kipiarov [429]
3 years ago
13

Mallory is on a budget and wants to determine which cereal is a better buy. A 10-ounce box of Cereal A costs $2.70 and a 13-ounc

e box of Cereal B costs $3.64. The store is selling each cereal in 15 ounce boxes. Which cereal is cheaper and by how much?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

Cereal A is cheaper by $0.15

Step-by-step explanation:

Cost of a 10-ounce box of Cereal A = $2.70

So,

Cost of a 1-ounce box of Cereal A = \frac{2.70}{10}=\$0.27

Cost of a 15-ounce box of Cereal A = 0.27(15)=\$4.05

Also,

Cost of a 13-ounce box of Cereal B = $3.64

So,

Cost of a 1-ounce box of Cereal B = \frac{3.64}{13}=\$0.28

Cost of a 15-ounce box of Cereal B = =0.28(15)=\$4.2

Here,

Cost of a 15-ounce box of Cereal B - Cost of a 15-ounce box of Cereal A = 4.2-4.05=\$0.15

Therefore,

Cereal A is cheaper by $0.15

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Answer:

=\frac{27}{125}

Step-by-step explanation:

0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

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Step-by-step explanation:

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marysya [2.9K]

Answer:

(1,7)

Step-by-step explanation:

SImply replace x by (1) in the expression to find the value of h:

h(1) = 4 (1) + 3 = 4 + 3 = 7

so for x = 1, h is 7 , which is written as: (1, 7)

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Answer:

1.105°

angle relationship=vertical angles

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Step-by-step explanation:

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To find the slope, use the equation of a line: y = mx + b

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5 = 2x + b

We know that 2 can fit into 5 twice, which means 2*2 is 4.

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