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Snezhnost [94]
3 years ago
13

Use the number line to add the fractions. help plz look at picture

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

\frac{1}{6}

Step-by-step explanation:

- \frac{1}{2}  + \frac{2}{3}  =   - \frac{3}{6}  + \frac{4}{6} \\\\ - \frac{3}{6}  + \frac{4}{6}  = \frac{1}{6}

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Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions
Minchanka [31]

\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}

if we were to solve both equations for "y", we'd get

10x-18y=2\implies 10x-2=18y\implies \cfrac{10x-2}{18}=y\implies \cfrac{5}{9}x-\cfrac{1}{9}=y \\\\\\ -5x+9y=-1\implies 9y=5x-1\implies y=\cfrac{5x-1}{9}\implies y = \cfrac{5}{9}x-\cfrac{1}{9}

notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.

8 0
2 years ago
Which statement best describes the polynomial 2x+8?
AleksandrR [38]
A
It is a first degree polynomial (aka linear because its highest power is 1) and it has two terms (2x and 8)
It does not have eight terms and is not a monomial (one term ie 3x^2)
8 0
4 years ago
ILL GIVE YOU BRAINLIST YOU ANSWER THIS PLSSSS NEED THE ANSWER ASAP, AND PLSSS SHOW YOU WORK!
Marat540 [252]

Answer:

x=5

14÷2=7

9÷2=2.5

2.5×2=5

5+9=14

4 0
3 years ago
What is the answer x+5>23
olga2289 [7]
18<x is the answer you are looking for. Glad to help.
3 0
3 years ago
Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60%, percent of his collection.
Natasha_Volkova [10]
I'm just gonna assume that the question is what's the total number of cars he has/ the other part of his collection

His whole collection has 45 cars in it. I got that by multiplying 60% by 27 

the other 40% of his collection is made up of 18 cars
4 0
3 years ago
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