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4 years ago

How do you simplify the ratios?

Mathematics

1 answer:

Masteriza [31]4 years ago

4 0

Let me you divide them if there equal numbers I guess

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

3 years ago

Wendy scores 24 points in a basketball game. If all of her baskets were 3-point shots, how many baskets did she make?

yarga [219]

Hello!

If all her shots were 3 pointers we will just divide

24÷3=8

Wendy made 8 baskets.

I hope this helps!

5 0

4 years ago

Read 2 more answers

Josh estimates the height of his desk. what is the reasonable estimate?

Galina-37 [17]

The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet.

8 0

4 years ago

Frederico's checking account balance is -$24, and Neela's checking account balance is -$384. How many times the balance of Frede

Vitek1552 [10]

-24y = -384, y would equal 16.

6 0

3 years ago

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PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes

grigory [225]

Answer:

Step-by-step explanation:

We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4$

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

$y-y_1=m(x-x_1)$

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

$y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15$

This is also slope-intercept form. The answer is A.

7 0

3 years ago

Read 2 more answers