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vlada-n [284]
3 years ago
10

(3x^-7 yz^-3)(3x)^-4

Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

The step wise solution is shown below:

Step-by-step explanation:

                (3x^{-7} y z^{-3} ) (3x)^{-4}

            =  (3x^{-7} (3x)^{-4}  y z^{-3} )

            = 3^{1-4} x^{-7-4} y z^{-3}

            = 3^{-3} x^{-11} yz^{-3}

            = \frac{y}{3^{3} x^{11}z^{3}  }

            = \frac{y}{27 x^{11}z^{3}  }

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Help me solve this pls
ddd [48]

Answer:

\frac{x - 10}{8}

Step-by-step explanation:

\frac{3x}{8} - \frac{x + 5}{4}

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

\frac{1(3x) - 2(x + 5)}{8}

\frac{3x - 2x - 10}{8}

\frac{x - 10}{8}

5 0
3 years ago
What is 1/2 of 22 and 2/3 of 16
Sholpan [36]
1/2 of 22:
1/2 · 22 = 22/2 = 11

2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
6 0
3 years ago
Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of th
svet-max [94.6K]

Mary = (1/3)x

Erin = x - 8

John = x

Here is your equation:

(1/3)x + (x - 8) + x = 267

Take it from here.

5 0
3 years ago
Read 2 more answers
Translate Δ A B C 6 units horizontally. How are the values in the ordered pairs affected by the translation?
snow_tiger [21]

Answer:

The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.

Step-by-step explanation:

The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)

The transformation rule for a horizontal translation by k units is

(x,y)\to (x\pm k,y)

In this case we have k=6

A(-4,1)\to A'(-4\pm6,1)

B(-2,1)\to B'(-2\pm6,1)

C(-2,4)\to C'(-2\pm6,4)

Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.

See attachment

4 0
3 years ago
erica makes a banner using 4 sheets of paper. Each paper measures 9 inches by 19 inches. What is the total area of Erica's banne
pickupchik [31]
To find the area of the paper. You must multiply the width and the height, which is 9 and 19. 9 x 19 is 171 And multiply that by 4 171 x 4 = 684 Total area is 684
8 0
3 years ago
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