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Sphinxa [80]
2 years ago
10

If x+y= -10 and x-y= 2 what is the value of x?

Mathematics
1 answer:
SashulF [63]2 years ago
4 0

X = 6

Step-by-step explanation:

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3 years ago
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The sum of 2 fractions is 5/6. Their difference is 1/2. Their least common denominator is 6. The denominator of one is twice the
valentinak56 [21]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the first fraction is : \frac{a}{b}

Suppose the second fraction is : \frac{c}{d}

The sum of both fraction is given as : \frac{5}{6}

\frac{a}{b}+\frac{c}{d}=\frac{5}{6}    .......................equation (1)

The difference of both fraction is given as : \frac{1}{2}

\frac{a}{b}-\frac{c}{d}=\frac{1}{2}   .........................equation (2)

Adding equation (1) and equation (2)

\frac{c}{d} \ will  \ be \ cancelled

\frac{2a}{b}=\frac{5}{6}+\frac{1}{2}

making common denominator

\frac{2a}{b}=\frac{5}{6}+ \frac{3}{6}

\frac{2a}{b}=\frac{8}{6}

Hence,

\frac{a}{b}=\frac{2}{3}

Plugging the value of \frac{a}{b} in equation (1)

\frac{2}{3}+\frac{c}{d}=\frac{5}{6}

Subtracting \frac{2}{3} in both sides

\frac{c}{d}=\frac{5}{6}-\frac{2}{3}

\frac{c}{d}=\frac{1}{6}

Hence both fractions are \frac{2}{3} \ and \  \frac{1}{6}     ...................Answer

Hope it will help :)

7 0
2 years ago
Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software package
GalinKa [24]

Answer:

The cost of one month of game​ play is $12.    

Step-by-step explanation:

We are given the following in the question:

Cost of software package = $30

Let y dollars be the cost of one month of game play.

Angie buys 1 software package and 2 months of game play.

Angie's cost =

1(30) + 2y = 2y + 30

Kenny buys 1 software package and 4 months of game play.

Kenny's cost =

1(30) + 4y = 4y + 30

Total cost = $132​

Thus, we can write the equation:

(2y+30)+(4y+30) = 132\\6y + 60 = 132\\6y = 132-60\\6y = 72\\\Rightarrow y = 12

Thus, the cost of one month of game​ play is $12.

7 0
2 years ago
Solve the equation<br> 5.4/12 = z/8
saul85 [17]

Answer:

18/5

Step-by-step explanation:

5.4/12 = 1/8 is equivalent to (5.4)(1/12) = (z/8), or

                                              (54/10)(1/12) = z/8.

The LCD is (10)(8)(12), or 120.

Mult. both sides by 120 yields 54 = 15z.

Dividing both sides by 15, we get z = 54/15 = 18/5 = z

6 0
3 years ago
How can -3/5 + 2/5 be modeled on a number line?
Svet_ta [14]

Answer:

You cab try to divide it evenly as best you can into 5 different sections and then mark them

Step-by-step explanation:

you go in between 1 and -1 and make them go up by fifths to show you work and then just use the numbee line as you know how to

8 0
2 years ago
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