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cupoosta [38]
3 years ago
7

Simplify: (a^4b^3)^2 (3m^2n^5)^4

Mathematics
1 answer:
Korolek [52]3 years ago
5 0
For the first one, it's (a^8b^6). For the second one, it's 81m^8n^20.
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What is the solution to the system of equations shown below?
Alexxandr [17]

Answer:

  b.  (1, 3, ­-2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

  a: -1 -5(1) +2(-4) = -14 ≠ -18

  b: 1 -5(3) +2(-2) = -18 . . . . potential choice

  c: 3 -5(8) +2(1) = -35 ≠ -18

  d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

  2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

  -(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0
3 years ago
If a car travels 210 miles on 12 gallons of gas, what is its unit rate in miles per gallon?
kumpel [21]
210 divided by 12 is 17.5 so u]your answer is 17.5
4 0
3 years ago
(01.03 MC)<br> Which of the following is a step in simplifying the expression<br> (Xy^4/x^-5y^5)^3
Sati [7]

\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}

4 0
3 years ago
Which list contains three multiples of 9?
max2010maxim [7]

Answer:

A

Step-by-step explanation:

9 * 7 = 63

9 * 8 = 72

9 * 10 = 90

6 0
3 years ago
Read 2 more answers
Please answer all part correct​
insens350 [35]

Answer:

a). We want to know how much each point was worth.

b). 12x+5=41

c). Each problem worth 3 points.

Step-by-step explanation:

a). We want to know how much each problem was worth. Because we have the total points of the test, and how much was the bonus. But we still don't know the worth of each problem.

b). We know that the total points of the test were 41, and the bonus 5 points. There were 12 problems on the test and we are going to use "x" for the unknown part (how many points each problem was worth).

The equation is :

12x+5=41

Why 12x? Because if you multiply the twelve problems of the test with the worth of each one and then add the 5 points of the bonus you will obtain the total points of the test (41).

c). Now we have to solve the equation, this means that we have to clear "x":

12x+5=41

Subtract 5 from both sides.

12x+5-5=41-5\\12x=36

Finally divide in 12 both sides of the equation:

\frac{12x}{12}=\frac{36}{12} \\\\x=3

Then each problem worth 3 points.

7 0
3 years ago
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