Mathematics, 10.01.2020 02:31 mosthatedpicky1

3. joe solved the equation 3 + x/2 = 10 and justified each step as shown.

identify joe’s error and fix his mistake.

step / justification

3 + x/2 - 10 given equation

x/2 = 7 multiplication property of equality

x = 14 subtraction property of equality

Answers: 3

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Answers

Joe's answer is justified that his mistake was the property shown to steps 3 and 5 was incorrect but his step3 and step5 are right

That is Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step5 : $x=7\times 2$ (by using Subtraction Property of Equality )

The correct properties in steps are given below

Step3 : $\frac{x}{2}-7=0$ (by using Subtraction Property of Equality )

Step5 : $x=7\times 2$ (by using Multiplication property of Equality )

This steps and the properties used here are correct.

Step-by-step explanation:

Given equation is $3+\frac{x}{2}=10$

Joe solved the equation as below

Step1 : $3+\frac{x}{2}=10$

Step2 : $3+\frac{x}{2}-10=0$

Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step4 : $\frac{x}{2}=7$

Step5 : $x=7\times 2$ (by using Subtraction Property of Equality )

Step6 : Therefore x=14

Joe's answer is justified that his mistake was the property shown to steps3 and 5 was incorrect but his step3 and step5 are right

That is Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step5 : $x=7\times 2$ (by using Subtraction Property of Equality )

The corrected properties in steps are given below

Step3 : $\frac{x}{2}-7=0$ (by using Subtraction Property of Equality )

Step5 : $x=7\times 2$ (by using Multiplication Property of Equality )

This steps and the properties used here are correct

Answer from: Quest

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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3. joe solved the equation 3 + x/2 = 10 and justified each step as shown. identify joe’s error and fix his mistake.step / justification 3 + x/2 - 10 given equationx/2 = 7 multiplication property of equalityx = 14 subtraction property of equality

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3. joe solved the equation 3 + x/2 = 10 and justified each step as shown.

identify joe’s error and fix his mistake.

step / justification

3 + x/2 - 10 given equation

x/2 = 7 multiplication property of equality

x = 14 subtraction property of equality