Answer: The constant of proportionality is 8 for the the problem on your left! The constant of proportionality for the one on you right is 6! Hope this helps!
Step-by-step explanation: Vincent earned $24 for 3 hours and so you find out how much he gets paid for 1 hour, then you divide 24 by 3 and get 8! Later he earned $72 for 9 hours, and you do the same thing which is to divide 72 by 9 which also give you 8 and so your unit rate or constant of proportionality is 8. So for the other one Justene can bike for 12 miles in 2 hours and so you find out how many miles she can bike for 1 hours and so you divide 12 by 2 which give you 6 and she can bike 6 miles in 1 hour. Then she biked 36 miles in 6 hours and you divide 36 by 6 which give you 6 and so your constant of proportionality is 6!
The statements that are rue for <span>all invertible n×n matrices A and B are:
</span><span>(A+B)(A−B)=A^2−B^2
</span>and
<span>(ABA^−1)^4=AB^4A^−1
</span>From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.
Answer:
30
Step-by-step explanation:
4p-2
4(8)-2
32-2
30
The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).
<h3>How to determine the equivalent expression</h3>
We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;
Given: -5x - 15 + 25x - 30
we group like terms together
25x - 5x - 15 - 30
20x - 45
the number 5 is a common factor of 20x and 45, so we have that;
5 × 4x - 5 × 9
by factoring out 5
5(4x - 9)
also;
5(4x - 9) = -5(-4x + 9)
Therefore, -5(-4x + 9) is an equivalent expression to the algebraic expression -5x - 15 + 25x - 30
Learn more about equivalent expression here: brainly.com/question/24734894
#SPJ1
Answer:
Step-by-step explanation:
This is a unit problem.
If you notice in that ratio, there is a "g" in both the numerator and the denominator which will cancel out, leaving you only with the label of miles, which is what you are looking for (since "how far can she drive..." is a distance thing). 28 then only needs to be divided by 8.25 to see how many miles this is.
miles which, in an improper fraction, is
miles
