All categories

3 years ago

Part A: Explain in words the mistake Juanita made. Part B: Solve the equation 3x + 6 = 24

Mathematics

2 answers:

Kruka [31]3 years ago

6 0

If she was going to divide by 3 to eliminate the x term's coefficient, she needed to divide all other terms by 3 and she did not. She only divided two of the three terms by 3 and left out the 6.

3x + 6 = 24
divide all terms by 3

3x/3 + 6/3= 24/3

x + 2= 8
subtract both sides by 2

x= 6

CHECK:
3x + 6 = 24
3(6) + 6= 24
18 + 6= 24
24= 24

ANSWER: She did not divide all terms by 3 when eliminating the x term's coefficient. x= 6

Hope this helps! :)

Ksju [112]3 years ago

3 0

She didnt divide the whole problem by 3 it would be x+3=8 then the rest of the work

You might be interested in

An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?

Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

7 0

3 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

Question 12 Multiple Choice Worth 1 points)

Alex777 [14]

Answer:

96?

Step-by-step explanation:

I just did 32 times 3 and got 96, it might not be right but it's what I got with what I did

3 0

2 years ago

Help find which equation

sineoko [7]

Answer:

Step-by-step explanation:

Any statement claiming <1 and <2 = 90 is incorrect.

So the answer must be one of B or D

D is a bit incomplete, but it is your best answer. The next step would be to subtract <2 from both sides.

5 0

3 years ago

Read 2 more answers

Evaluate 21 - N/3 for N = 12 please help :(

Mandarinka [93]

If N=12 just substitute your N for 12 and Divide 12 by 3 which equals up to 4 then bring down your 21 and subtract that by 4 and your answer will be 17

3 0

3 years ago