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stepladder [879]
3 years ago
10

1/3x+3=13 what is the answer for x

Mathematics
2 answers:
Margaret [11]3 years ago
4 0

Step-by-step explanation:

I'm not sure if the question is \frac{1}{3}x + 3 = 13 or \frac{1}{3x} + 3 = 13, so we can do both:

\frac{1}{3}x + 3 = 13

First, let's subtract 3 from both sides to isolate the x on the left-hand side:

\frac{1}{3}x = 10

Next, let's multiply both sides by 3 to get x by itself:

x = 30

\frac{1}{3x} + 3 = 13

First, let's subtract 3 from both sides to isolate the x on the left-hand side:

\frac{1}{3x} = 10

Next, we can take the reciprocal of both sides to get rid of the fraction on the side with x:

3x = \frac{1}{10}

Next, we can divide both sides by 3 to get x by itself:

x = \frac{1}{30}

andre [41]3 years ago
4 0

Answer:

x = 30

Step-by-step explanation:

to solve for value of x in this expression 1/3x+3=13

solution

1/3x+3=13

collect the like terms

1/3x = 13 -3

1/3x = 10

multiply through by 3

x = 30

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3. Sam and Tim each have savings accounts. Every month they each put in some of their
Setler [38]

Answer:

y = 30x +50 --- Sam

y = 20x +80 --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,80)

(x_2,y_2) = (4,170)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{170 - 80}{4 - 1}

m = \frac{90}{3}

m = 30

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 80 = 30(x - 1)

y - 80 = 30x - 30

Make y the subject

y = 30x - 30 + 80

y = 30x +50

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,100)

(x_2,y_2) = (4,160)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{160 - 100}{4 - 1}

m = \frac{60}{3}

m = 20

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 100 = 20(x - 1)

y - 100 = 20x - 20

Make y the subject

y = 20x - 20+100

y = 20x +80

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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