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3 years ago

Which number set below in ordered from least to greatest

Mathematics

1 answer:

Tom [10]3 years ago

4 0

Answer: The answer is C

Step-by-step explanation:

1.2% is basically 0.012. 12% is 0.12 and then 1.02 and 1.2. what i'm trying to get at here is when you are working with percents, 100% is 1. so anything below that is going to be a decimal, for an example, 34% would be 0.34, and 68% would be 0.68. Also 0.18% would be 0.0018. Once you know how to convert percentages to decimals, doing those kind of questions is pretty easy.

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Simplify the following expression into simplest form with all positive exponents

mamaluj [8]

Answer:

I'm am pretty sure that the answer is 320. Hope this helps!

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John bought a cell phone for 99 dollars and 7% sales tax was added at the register John gave the cashier six $20 bills how much

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He will receive $14.07 in change.<span />

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What are the values of a 1 and r of the geometric series? 1 3 9 27 81.

sp2606 [1]

For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.

<h3>What is geometric series?</h3>

A series of numbers whose any two consecutive numbers are always in a common ratio of that series.

Given to us

Series, 1 3 9 27 81

To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,

$r = ratio = \dfrac{3}{1} = 3$

As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.

We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,

a₁ = 1

Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.

Learn More about Geometric Series:

brainly.com/question/14320920

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3 years ago

Forty-eight decreased by a number is the same as the difference of four times the number and seven. Find the number

vagabundo [1.1K]

Turn the text into an eqation:

48-x = 4x-7
5x = 55
x = 11

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3 years ago

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Part B

alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.

(a) Find the equation of the line passing through B and perpendicular to the line AC

(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

$y = \frac{1}{5}x + \frac{12}{5}$

$D = (\frac{43}{26},\frac{71}{26})$

Step-by-step explanation:

Given

$\triangle ABC$

$A = (2,1)$

$B = (3,3)$

$C = (1,6)$

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

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

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$C = (1,6)$ --- $(x_2,y_2)$

The slope is:

$m = \frac{6- 1}{1 - 2}$

$m = \frac{5}{-1}$

$m = -5$

The slope of the line that passes through B is calculated as:

$m_2 = -\frac{1}{m}$ --- because it is perpendicular to AC.

So, we have:

$m_2 = -\frac{1}{-5}$

$m_2 = \frac{1}{5}$

The equation of the line is the calculated using:

$m_2 = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$m_2 = \frac{1}{5}$

$B = (3,3)$ --- $(x_1,y_1)$

$(x_2,y_2) = (x,y)$

So, we have:

$\frac{1}{5} = \frac{y - 3}{x - 3}$

Cross multiply

$5(y-3) = 1(x - 3)$

$5y - 15 = x - 3$

$5y = x - 3 + 15$

$5y = x +12$

Make y the subject

$y = \frac{1}{5}x + \frac{12}{5}$

Solving (b): Point of intersection between AC and $y = \frac{1}{5}x + \frac{12}{5}$

First, calculate the equation of AC using:

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

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$m = -5$

So:

$y=-5(x - 2) + 1$

$y=-5x + 10 + 1$

$y=-5x + 11$

So, we have:

$y=-5x + 11$ and $y = \frac{1}{5}x + \frac{12}{5}$

Equate both to solve for x

i.e.

$y = y$

$-5x + 11 = \frac{1}{5}x + \frac{12}{5}$

Collect like terms

$-5x -\frac{1}{5}x = \frac{12}{5} - 11$

Multiply through by 5

$-25x-x = 12 - 55$

Collect like terms

$-26x = -43$

Solve for x

$x = \frac{-43}{-26}$

$x = \frac{43}{26}$

Substitute $x = \frac{43}{26}$ in $y=-5x + 11$

$y = -5 * \frac{43}{26} + 11$

$y = \frac{-5 *43}{26} + 11$

Take LCM

$y = \frac{-5 *43+11 * 26}{26}$

$y = \frac{71}{26}$

Hence, the coordinates of D is:

$D = (\frac{43}{26},\frac{71}{26})$

3 0

3 years ago