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1 year ago

How is (s-t)(s/t) equivalent to (s^2/t) -s

Mathematics

2 answers:

GalinKa [24]1 year ago

8 0

Explanation:

For the expression (s-t)(s/t) we first use the distributive property:

$(s-t)(\frac{s}{t}) \\ \\=s\times \frac{s}{t}-t\times \frac{s}{t}$

We can write both s and t as fractions by using a denominator of 1:

$\\=\frac{s}{1}\times \frac{s}{t}-\frac{t}{1}\times \frac{s}{t}$

To multiply frations, we multiply straight across:

$=\frac{s\times s}{1\times t}-\frac{t\times s}{1\times t} \\ \\=\frac{s^2}{t}-\frac{ts}{t}$

In the second fraction, st/t, the t will divide out, or cancel, since it is in both the numerator and denominator:

$\frac{s^2}{t}-s$

tigry1 [53]1 year ago

4 0

$(s-t)\cdot\dfrac{s}{t}=s\cdot\dfrac{s}{t}-t\cdot \dfrac{s}{t}=\dfrac{s^2}{t}-s$

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Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour

mariarad [96]

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

$R= \frac{D}{T}$

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

$Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4} \div \frac{1}{14} = \frac{1}{4} \times \frac{14}{1} = \frac{14}{4} = \frac{7}{2} = 3 \frac{1}{2} \; miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6} \div \frac{1}{16} = \frac{1}{6} \times \frac{16}{1} = \frac{16}{6} = \frac{8}{3} = 2 \frac{2}{3} \; miles \; per \; hour\\\\$

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile. It took 1/112 hour longer.

$\frac{1}{14} - \frac{1}{16} = \frac{1 \cdot 8}{14 \cdot 8} - \frac{1 \cdot 7}{16 \cdot 7} = \frac{8}{112} - \frac{7}{112} = \frac{1}{112}$

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.

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2 years ago

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Round 0.8127 to 3 decimal places

Ainat [17]

0.813 is your answer because 7 is higher than 5 which means you have to round it up and not down

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A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

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