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3 years ago

The area of a rectangular field is 8624 yd^2. If the length of the field is 98 yards, what is its width

Mathematics

1 answer:

Maslowich3 years ago

5 0

A = L x W

$8624 = 98 \times w \\ 8624 \div 98 = w \\ 89.83 = w$
so the with is 89.83 yards.

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Suppose spin a spinner with eight equal sectors, numbered 1 to 8. What is the probability of spinning a 3 or an 8?

olasank [31]

Given, in the spinner 8 equal sectors, numbered 1 to 8.

So total numbers = 8.

Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).

Now we know that, probability of an event E is

P(E) = (number of outcomes in the event)/ (total number of possible outcomes).

So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.

So P(Three) = $\frac{1}{8}$

Similarly, P(Eight) = $\frac{1}{8}$

Probability of spinning a 3 or an 8 = P(Three) + P(Eight)

= $\frac{1}{8} + \frac{1}{8}$

As the denominator is same we can add the numerator.

= $\frac{(1+1)}{8}$

= $\frac{2}{8}$

Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.

The common factor of 2 and 8 is 2. So by dividing them we will get,

= $\frac{1}{4}$

We have got the required answer.

The probability of spinning a 3 or an 8 is $\frac{1}{4}$

4 0

3 years ago

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Write this equation in standard form y + 4 = 2/3 (x+7)

Karo-lina-s [1.5K]

Answer:

$y=\frac{2}{3}x+\frac{2}{3}$

Step-by-step explanation:

The standard equation of a straight line is of the form:

$y=mx+c$

We have to convert the given equation into above form.

Simplifying the given equation:

$y=\frac{2}{3}x+\frac{14}{3}-4$

$=\frac{2}{3}x+\frac{(14-12)}{3}$

$=\frac{2}{3}x+\frac{2}{3}$ .- This is in standard form

where $m=c=\frac{2}{3}$

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1. Write the equation, then find the value of x. 2. What is the measure of

almond37 [142]

Answer:

32+36+2x=180

hope this helps

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How to solve for a and b

murzikaleks [220]

$\bf \begin{cases}
3=a\cdot b^0\\
75=a\cdot b^2
\end{cases}\qquad b^0=1\implies 
\begin{cases}
3=a\cdot 1\implies 3=a\\
----------\\
75=a\cdot b^2\implies 75=3\cdot b^2\\\\
\frac{75}{3}=b^2\implies 25=b^2\\\\
\pm \sqrt{25}=b\implies \pm 5 = b
\end{cases}$

recall, anything raised to the 0, zero, power, is 1, with the sole exception of 0

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Graph the inequality. y> -5x+1

gregori [183]

Answer:

Step-by-step explanation:

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