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gladu [14]
3 years ago
9

What is 1/3 x 20/9 simplified to the lowest term

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer: 20/27

Step-by-step explanation:

multiply numerators and denominators

1/3 x 20/9 = 20/27

you can not simplify further

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By ordering the data find the Lower Quartile<br> 5, 7, 4, 3, 2, 6, 8, 9, 10, 15 *
Klio2033 [76]

Answer:

.Lower quartile = 3.5

Step-by-step explanation:

Rearranging the data from lowest to highest.

2, 3, 4, 5, 6, 7, 8, 9 , 10, 15

First finding the median to make it easier to find the lower quartile.

median : 6 and 7 but right now they're irrelevant so we don't honestly need to work that out.

The lower quartile would be 3 and 4

3+4= 7 divide by 2 = 3.5 is your lower quartile

8 0
3 years ago
What is the equation of a circle with center (-3,-5) and radius 4?
kobusy [5.1K]

Answer:   D) (x + 3)² + (y + 5)²  = 16

<u>Step-by-step explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²    

where (h, k) = center   and    r = radius

Given: (h, k) = (-3, -5)  r = 4

Equation: (x - (-3))² + (y - (-5))² = 4²

                 (x + 3)²  +  (y + 5)²  = 16

8 0
4 years ago
4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
3 years ago
It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???
Dmitry [639]

3x = 4y = 7z \\ \Rightarrow \begin{cases}3x - 4y = 0 \\4y - 7z = 0 \\ 7z - 3x = 0\end{cases} \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 3( \frac{4}{3}y)  = 0\end{cases}  \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 4y= 0\end{cases} \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\ y \\ z =  \frac{4}{7}y \end{cases} \\ x,y,z\: are\: intergers\Rightarrow y=LCM(3,7)=21\Rightarrow x = 28,z = 12 \\ \Rightarrow x + y + z = 61

5 0
3 years ago
Find the price of 1 marker if 5 markers cost $15
Alex787 [66]

Answer:

The price of 1 marker is $3

Step-by-step explanation:

15/5 = 3

5 0
3 years ago
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