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2 years ago

Mary has 36 flower pots. She plants in 2/3 of her flower pot. In how many flower pots does mary plant daisies?

Mathematics

1 answer:

Mariana [72]2 years ago

6 0

Answer: 24

Step-by-step explanation:

36/3 = 12

This means that 12 is one third of the flower pots.

Since she uses two thirds, just multiply the answer by 2.

12x2 = 24, so 2/3 is 24

Therefore, Mary plants daisies in 24 flower pots.

Hope this helps!

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Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, –5).

posledela

So hmm check the picture below, that's about the circle and the endpoints, but notice, the endpoints make up a segment, namely the diameter of the circle, well.... let's see how long that is, because, the radius is half the diameter

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(7-7)^2+(-5-3)^2}\implies d=\sqrt{0+(-8)^2}\implies d=8
\\\\\\
\textit{the radius is half that, so is }\boxed{r=4}$

now.. hmmm notice, the midpoint of the diameter, is the center of the circle, let's check that one out

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 7+7}}}{2}\quad ,\quad \cfrac{{{ -5}} + {{ 3}}}{2} \right)\implies \left( \cfrac{14}{2}\ ,\ \cfrac{-2}{2} \right)\implies \boxed{(7,-1)}$

now.. that we know what the center is, and what the radius is, well

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k\quad }})\qquad 
radius=&{{ r}}\\
&7&-1&4
\end{array}$

5 0

3 years ago

Is the inequality always, sometimes, or never true?

MariettaO [177]

Answer:

Never true

Step-by-step explanation:

2x - 5 < 2(x - 3) first multiply 2 with the inside the parenthesis

2x - 5 < 2x - 6

now when we simplify the inequality 2x on the both sides will be eliminated and we will be left with:

(-5) < (-6) which cannot be true because (-5) is closer to 0 in number line so it's bigger then (-6) not smaller

Therefore the answer is "Never true"

7 0

1 year ago

The three tools the federal reserve uses to enact monetary policy

sergejj [24]

Open market operations, setting the discount rate and setting reserve requirements

7 0

3 years ago

Find z , x , y & put it into simplest radical form <br> I need help

mixas84 [53]

Answer:

z = 12 $\sqrt{3}$

y = 12

x = 12 $\sqrt{2}$

Step-by-step explanation:

In a 30-60-90 triangle, the longer leg is $\sqrt{3}$ times the shorter leg and the hypotenuse is 2 times the shorter leg.

In a 45-45-90 triangle, the legs have the same length and the hypotenuse is $\sqrt{2}$ times a leg

MEMORIZE BOTH OF THE ABOVE.

The altitude to the hypotenuse is the shorter leg of a 30-60-90 triangle. So, it is 1/2 of 24 = 12

Now z = 12 $\sqrt{3}$

y = 12

x = 12 $\sqrt{2}$

7 0

3 years ago

6.2 practice a 6th grade

Alina [70]

U need to practice what you have trouble with

3 0

3 years ago