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2 years ago

5

Patty went to a dinner celebrating the wedding anniversary of her aunt and uncle. She asked her aunt how long they’ve been marri

ed. She replied, “If you can guess the magic number of years we’ve been married, we will give you a prize money of 300 times that magic number.” And then she gave this clue: "Double the magic number and add 1, and then subtract 20 from the result. Add the sum of -18 and 5, and get the additive inverse of the result. You will end up with the number 4." How much will Patty earn if she guesses the magic number correctly?

1 answer:

bija089 [108]2 years ago

7 0

Answer:

hello and 1900

Step-by-step explanation:

kbj

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if you reflect any shape across the x-axis and then rotate it 90 degrees clockwise about the origin, do you get the same results

vampirchik [111]

it is easy 90x+90y then divide by 4

Step-by-step explanation:

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2 years ago

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Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after

Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is $\frac{4}{27}$

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:

$\frac{8}{9}$ ÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to $\frac{6}{1}$ , by inverting the number, then you get $\frac{1}{6}$

Then:

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}$

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}$

Finally, simplifying the fraction:

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}$

So:

$\frac{8}{9}$ ÷6= $\frac{4}{27}$

<u><em>The fraction of the book that Rena read every day is </em></u> $\frac{4}{27}$ <u><em></em></u>

3 0

3 years ago

Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

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2 years ago

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em> $h(t)$ <em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em> $h(t) = 3 +90\cdot t -16\cdot t^{2}$ <em>, where </em> $t$ <em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

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3 years ago

What is 11/5 in a decimal

Vesnalui [34]

You can divide it and get 2.2

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3 years ago

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