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Harlamova29_29 [7]
3 years ago
13

Solve for k k/2 + 1/2 = 3

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

k/2+1/2=3

Move +1/2 to the other side. Sign changes from +1/2 to -1/2

k/2+1/2-1/2=3-1/2

k/2=3-1/2

Find the common denominator for 3 and -1/2.

Common denominator is 2

k/2=3(2)-1/2

k/2= 6/2-1/2

k/2=5/2

Multiply k/2 with 2. Multiply 2 with 5/2

k/2 (2/1)=2(5/2)

Cross out 2 and 2. Divide by 2. Cross out 2 and 2 for 5/2(2). Divide by 2

k=5

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Two linear equations are represented by using the tables below.
Dmitriy789 [7]

Answer:

(–3, –2)

Step-by-step explanation:

A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.

Equation A is represented by the points:

x:    -5      -2        0          1

y:    -4       -1         1           2

Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:

y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1

Equation B is represented by the points:

x:    -6      -3        3          6

y:    -4       -2         2          4

Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:

y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x

The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.

Substitute y = (2/3)x in y = x + 1:

(2/3)x = x + 1

2x = 3x + 3

x = -3

Put x = -3 in y = (2/3)x

y = (2/3) (-3) = -2

Hence (-3, -2) is the solution

4 0
3 years ago
Read 2 more answers
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Marta_Voda [28]

Answer:

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Step-by-step explanation:

If we assume that the units of D are kg, then we can put the given number into the equation and solve.

  21 = h +9

  12 = h . . . . . subtract 9

Eli worked 12 hours to prepare 21 kg of dough.

8 0
4 years ago
Do you anti-federalist agree or disagree with the ratifying the Constitution as it was written and why do they feel that way?
Zepler [3.9K]
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3 years ago
Suppose Clara has a collection of old CDs. If the diameter of a CD measures about 12 centimeters, approximate the circumference
Strike441 [17]

Answer:

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Step-by-step explanation:

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To find an approximate value of the circumference of the CD, we will use this formula.

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let us take π to be = 3.142

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