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I am Lyosha [343]
3 years ago
12

Use the properties of real numbers to rewrite the expression. 2/5 * (-7) * 5/2

Mathematics
1 answer:
Mama L [17]3 years ago
4 0

For this case we have the following expression:

\frac{2}{5}*(- 7)*\frac{5}{2}

Using the associative property we can rewrite the expression in the following way:

(\frac{2}{5}*\frac{5}{2})*(-7)

Finally, simplifying we have:

(1) (- 7)

-7

Answer:

Rewriting the expression we have that the result is:

d. -7

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The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square
Kay [80]

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

7 0
2 years ago
Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5
givi [52]
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0
2 years ago
Draw a number line to show that 2/8 and 1/4 are equivalent fraction
solniwko [45]
1/4 2/8 3/12 4/16 5/20 6/24
8 0
2 years ago
If x^3=64, what is the value of x?
pickupchik [31]

Answer:

x=4

Step-by-step explanation:

all you need to do is the 3rd root of 64

which is 4.

6 0
3 years ago
Are the point (-1, 1) and (3, 1/5) solutions to the equation 3x-5y=8
Sati [7]
The (3, 1/5) would be a solution while the (-1,1) wouldn’t because when you write this equation in the slope intercept form which is y = 3/5x - 8/5

1/5 = 3/5 (3) - 8/5

would end up with 1/5 = 1/5 which is write

While,

1 = 3/5 (-1) - 8/5

Would end up with
1 = 11/5 which is wrong



5 0
3 years ago
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