Which number is composite? a. 79 b. 87 c. 89 d. 97

Mathematics

1 answer:

n200080 [17]2 years ago

8 0

I am pretty sure b. is right. This is because 87 is not prime

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Question about decimals

meriva

Answer:

Both are terminating decimals

Step-by-step explanation:

Answer to your questions:

First of all, both A and B are correct and both quotients are terminating decimals.

To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.

The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.
Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth).
Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29

4 0

2 years ago

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is $\frac{13}{4}$

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the points are (3, 1) and (7, -2)

$(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)$

Substituting in formula, we get

$m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}$

To find the y intercept:

$\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }$

$1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}$