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Mama L [17]
3 years ago
11

Keisha's penny bank is 2/3 full. After she removes 120 pennies, it is 1/2 full.How many pennies does Keisha's bank hold?

Mathematics
1 answer:
dlinn [17]3 years ago
8 0

let \:  \\ x = the \: number \: of \: pennies \: the \\  \: bank \: holds\\ 120 +   \frac{1}{2}x =  \frac{2}{3}x \\ 120 =  \frac{2}{3}x -  \frac{1}{2}x \\ 120 =  \frac{4}{6}x -  \frac{3}{6}x \\  \frac{1}{6}x = 120 \: so \\  \: x = 120 \times 6 = 720
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Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

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Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

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The dog weight is the independent variable and the dosage is the dependent variable.

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What is the quotient of 5 7 ÷ 5 14 ?
KatRina [158]

Answer:

<h2><u>=</u> <u>   57 / 514  </u>    <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>=   57 / 514 </u>

<u>(Decimal: 0.110895)</u>

<u></u>

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<u></u>

<u></u>

<u></u>

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<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as  

x /14 =  5/ 7 .  x/ 14 =  5/ 7

Multiply both sides of the equation by  

14.14  ⋅  x /14 =  14 ⋅ 5 /7

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Tap for fewer steps...

Cancel the common factor of  14 .  

Cancel the common factor.

14 ⋅  x /14 =  14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify  14 ⋅  5/ 7 .

Cancel the common factor of  7 .

Factor  7  out of  14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

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Rewrite the expression.

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Answer:

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Step-by-step explanation:

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