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2 years ago

Katy bought 5 packages of cake mix for $32.50. How much would 8 packages of cake mix cost?

Mathematics

1 answer:

AleksAgata [21]2 years ago

7 0

Answer:

$52

Step-by-step explanation:

5 packages = $32.50

divide both sides by 5

1 package = $6.50

times by 8

8 package = $52

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How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

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3 years ago

Find the number in the proportion <br> 2/12=5/x

Sliva [168]

Answer: x = 30

2/12 x 5/x

(Cross Multiply)

2x = 60

x = 30

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3 years ago

For every gallon of water in a swimming pool, you’ Instructed to add four grams of chlorine. How many grams of chlorine would yo

Kruka [31]

Answer:

Step-by-step explanation:

Multiply grams per gallon times gallons to get grams.

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