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3 years ago

9

Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each contain

er?

1 answer:

snow_tiger [21]3 years ago

3 0

Answer:

3 3/4 lb

Step-by-step explanation:

11 ¼ lb ÷ 3

11 ¼ lb x $\frac{1}{3}$

convert 11 ¼ lb to an improper fraction

to convert to improper fraction, take the following steps :

1. Multiply the whole number by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

$\frac{45}{4}$ × $\frac{1}{3}$ = $\frac{15}{4}$ = 3 3/4 lb

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3 years ago

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

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Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

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$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

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$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

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$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

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$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

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3 years ago