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Flauer [41]
3 years ago
9

explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value. Which property of addition states

that these sums are equivalent?
Mathematics
1 answer:
brilliants [131]3 years ago
5 0
They are able to have the same value as the negative sign is simply transferred to the inside. Either way 4 is being subtracted from 3.
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How do you rewrite the equation in the form 52m = 460
max2010maxim [7]
The answer is 115/13
8 0
3 years ago
The length of a rectangle is twice it’s width.The perimeter of the rectangle in 162 inches.How long is the rectangle?
Artist 52 [7]
The perimeter of a rectangle is all sides added  up, so length + length + width + width.

L = length

W = width

then the perimeter is L+L+W+W, or 2L + 2W, or 2(L+W).

\bf \textit{perimeter of a rectangle}\\\\
P=2(L+W)~~
\begin{cases}
P=162\\
L=\stackrel{\textit{twice W}}{2W}
\end{cases}\implies 162=2(2W+W)
\\\\\\
\cfrac{162}{2}=3W\implies 81=3W\implies \cfrac{81}{3}=W\implies 27=W

what's the length?  well, is just 2(27).
6 0
3 years ago
Is -2 a solution of the inequality -2x + 5 &gt; 9?<br> A. yes<br> | B. no
kramer

Answer:B

Step-by-step explanation:

-2x+5>9

-2x>4

-x>2

x<-2

3 0
3 years ago
Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

             m = $160 / 2 policies

             m = $80 / policy

The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

             760 = 80(3) + b

             760 = 240 + b

             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

6 0
3 years ago
Workers inc. just bought 14 boxes of pens to put in their storage room for employees to use as needed. each box contains 50 pens
slega [8]

Answer:

568 pens.

Step-by-step explanation:

Total number of pens bought = 14 * 50 = 700.

Total pens taken by the workers = 33 * 4 = 132.

Number left = 700 - 132 = 568.

4 0
3 years ago
Read 2 more answers
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