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torisob [31]
3 years ago
5

He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to repre

sent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.
Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question

You might be interested in
4.
valkas [14]

Answer: \boxed{y=\frac{4}{5}x-2}

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}

4 0
2 years ago
Which expression is equivalent to 3m1-m?<br> A) 2+m-1+m<br> B) 1+m<br> C) 3m-1<br> D) 3m
valkas [14]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
beni is shopping for a new cell phone plan. company a charges$72.25for a new phone and $85.50 per month.company b charges $151.2
tigry1 [53]
Missing questions and subsequent solutions:
(a) Write an equation for company A for cost, C, number of months, n, that Beni will pay for the phone.

Solution:
For company A:
C = 72.25 + 85.50n

(b) Write an eqyation for company B for cost, C, and number of months, n, that Bei will pay for the phone.

Solution:
For company B:
C = 151.25 + 65.75n

(c) Write an inequality when the cost from company A is better than cost from company B.

Solution:
72.25 + 85.50n ≤ 151.25 + 65.75n
(85.50-65.75)n ≤ (151.25 - 72.25)
19.75 n ≤ 79
n ≤ 4

(d) Value of n for which cost from the two companies will be the same.

Solution:
If cost for companies A and B are the same, then
72.25 + 85.50n = 151.25 + 65.75n
(85.5 - 65.75)n = 151.25 - 72.25
19.75n = 79
 n = 79/19.75 = 4 months

After 4 months,
C = 72.25 + 85.5*4 = $414.25
7 0
3 years ago
Is 14,22,30 a Pythagorean triple
adell [148]
I don’t think soooooo

7 0
4 years ago
Read 2 more answers
LOTS OF POINTS <br> Simplify the expression by factoring, showing the steps in your work
julia-pushkina [17]

Answer:

\frac{3x+7}{4x+1}

Step-by-step explanation:

\frac{12x^2+31x+7}{16x^2+8x+1}

First you factor 12x^2+31x+7:

=\left(12x^2+3x\right)+\left(28x+7\right)

Then you factor out 3x from 12x^2+3x:

12x^2+3x

=12xx+3x

=3\cdot \:4xx+3x

=3x\left(4x+1\right)

Then you factor out 7 from 28x+7:

28x+7

=7\cdot \:4x+7

=7\left(4x+1\right)

=3x\left(4x+1\right)+7\left(4x+1\right)

Factor out common term 4x+1:

=\left(4x+1\right)\left(3x+7\right)

\frac{\left(4x+1\right)\left(3x+7\right)}{16x^2+8x+1}

Factor 16x^2+8x+1:

=4^2x^2+8x+1

=4^2x^2+8x+1^2

=\left(4x\right)^2+8x+1^2

=\left(4x\right)^2+2\cdot \:4x\cdot \:1+1^2

Use the perfect square formula:

=\left(4x+1\right)^2

\frac{\left(4x+1\right)\left(3x+7\right)}{\left(4x+1\right)^2}

Cancel out common factor 4x+1:

=\frac{3x+7}{4x+1}

8 0
3 years ago
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