Answer:
J. 12 : 18
Step-by-step explanation:
Amy used 2 tea bags for every 3 cups of water to make iced tea
the ratio here is 2:3
x = 2:3
lets simplify our ratios
6 : 10 = 3 : 5 ≠ 2 : 3
5 : 6 = (doesn't simplify evenly) ≠ 2 : 3
9 : 15 = 3 : 5 ≠ 2 : 3
12 : 18 = 2 : 3 = 2 : 3
<h3>
Simplifying</h3>
find their highest common factor and divide both the numbers by the <u>same amount</u> (HCF).
Ex.
12 : 18
12 ÷ 6 = 2
18 ÷ 6 = 3
2 : 3
Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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Ok. he jogs 10 laps in a day and each lap is 40 m so 10 times 40 is 400
he jogs 400 meters in a day then multiply that by 5 for the week
400 times 5 is 2000
he jogs 2000 meters each week
150 x 12 = 1800
55 x 12 = 660
1800 + 660 + 45000 = 47,460
