Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.

Answers

Answer 1

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].


Related Questions

can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

slope=(9-7)÷(3-2)

slope= 2.

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

(a) On the grid above, draw the line x = 3

Answers

The Graph will look like this:

The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.

To visualize the line x = 3 on a graph:

1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.

2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.

The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

Learn more about graph here

https://brainly.com/question/30981053

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EASY INEQUALITIES!!!!

Answers

Answer:

2.16, 3.45

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.16< [tex]\sqrt{5}[/tex] < 3.45

Hope this helps!! :D

PLEASE HELP QUESTIONS ARE BELOW FIRST TO ANSWER WILL BE VOTED BRAINLIEST

Answers

Answer:

1. 7.5

2. 7

3. 8

4. 1.44

5. 2

6. 4

Step-by-step explanation:

Use cross multiplication and then divide by the coefficient of x.

Here is how to solve number 1. Solve the rest of them like this.

2.5(15) = 5x

37.5 =5x

5         5

x=7.5

Please mark me brainliest and I hope this helps.

Answer:

1. x = 7.5

2. x = 7

3. x = 8

4. x = 1.44

5. x = 2

6. x = 4

Step-by-step explanation:

All you have to do is cross multipy and then solve.

PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.​

Answers

A. Let the Initial Interest rate = x
It is given that each month Interest rate decreases by 1/4 point. Let total change of rate over the last six month= y
y = 6 x -x/4
y = -1.5x

B. Total Change
= (-1.5x-x)/(6-1)
= -2.5x/5
= -0.5x
= -5x/10
= -x/2

1f f(x) = ***, g(x) = x+4, and h(x) - 3x-2, what is (nofog)(x)?
o (hofog)(x) = -2
o (hofog)(x) = 3X-8
o (hºfog)(x) = *=14
(nofog)(x) - 3x-4

Answers

Answer:

first option  y + 7 = –(x + 6) is correct option

Step-by-step explanation:

How to calculate tan sin cos on calculator ?

Answers

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

Jen bought 5 CD's for $57.50. What was the unit price?

Answers

Answer:

$11.50 per CD

Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)

400.34 + 678.397
210

Answers

Answer:

1078.73721

Step-by-step explanation:

How to do this
Evaluate 20+3(8-5)

Answers

Answer:

29

Step-by-step explanation:

Use PEMDAS

First, you will do the parenthesis which is 3.   20+3(3)

Next, you will multiply 3 by 3, which is 9.     20+9

Last you will add 20 and 9.   29

Do order of Operations.

Parentheses:

(8-5) which is 3. You now have

20+3(3).

Multiply:

3(3) which gives you 9. Now you have

Add:

20+9. Which gives you 29.

So the answer to this question is 29.

I Hope I explained this good enough, if you have any more questions, ask me.

HELP this is on my quartly check!!! If ∠A is supplementary to ∠B, ∠A and ∠C are vertical angles, and m∠C = 45, what is m∠B?

Answers

Answer:

135

Step-by-step explanation:

As, Angle A and angle B are supplementry,

So, A+B=180

Angle A and Angle C are vertically opposite angles then, Angle A= Angle C

So angle C = 45°

So angle A = 45

Now, A + B = 180

45 + B = 180

B= 180 - 45

B= 135°

Hope this helps!

7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?

Answers

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

HELP PLEASE HS GEOMETRY 50 POINTS!!!!!

Answers

Answer: 1,6,3,8

Step-by-step explanation: that one, and its opposite and the other one is the same

Answer:

1, 3, and 8

Step-by-step explanation:

You should know this because, 88 degrees and 2 are in a straight line which there means that 2 would be 92 degrees. So every length would be slightly shorter or longer than the other. As you can observe 1, 3, and 8 other than 6 are all the ones that are slightly shorter than their counterpart 2, 4, 5, and 7. Which means that 1, 3, and 8 all equal 88 degrees just like 6.

SV bisects angle RST. if m angle RST = 62, what is m angle RSV?

Answers

See attachment for math work and answer.

The measure of ∠RSV is 31°.

Given that, SV bisects ∠RST=62°.

We need to find the value of m∠RSV.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.

Since SV bisects ∠RST into equal parts.

That is, ∠RSV=∠TSV

So, ∠RST=∠RSV+∠TSV

⇒∠RST=2∠RSV

⇒62°=2∠RSV

⇒∠RSV=31°

Therefore, the measure of ∠RSV is 31°.

To learn more about an angle bisector visit:

brainly.com/question/12896755.

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1. Juliet O'Hara works for a weekly paycheck. Last week she worked 5 days for a total of 39 hours. Her regular rate of pay is $10.95 an hour. In addition to federal income tax, state income tax, Medicare, and social security, Juliet also has insurance of $20 a week withheld and puts 4% of her gross pay into a retirement account. Compute her gross pay, deductions, and net pay. SHOW YOUR WORK!

Answers

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

Please find the locator point (h, k) of the function
y=-(x+2)^3-5

Answers

the (h,k) is (-2,-5)

A scale factor of 3/4 applied to an object describes

1. an enlargement
2. a reduction
3. no change
4. a rotation

Answers

Answer:

a rotation

Step-by-step explanation:

54/x = 9/7

What does X=

Answers

Answer:

the answer is 42.

Step-by-step explanation:

9 times 6 is 54.

7 times 6 is 42.

Answer:

It'd be 486/7 or 69 and 3/7

Step-by-step explanation:

(-1, 2) and (0,4)
Find the slope of the line passing through the given points

Answers

Slope is 2. 2 is your answer

Solve the system by substitution.
Y = 10x
7x + 3y =
37

Answers

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

Plzs help me I give u brain list

Answers

Answer: am sorry but,

Step-by-step explanation: I can't see the picture...

Answer:

b (i think)

Step-by-step explanation:

Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form

Answers

Answer:

Addy hiked 0.65 miles more than Audrey.

Step-by-step explanation:

In June we have the following distance traveled by Audrey (Au) and Addy (Ad):

[tex] Au_{Jun} = 2.95 miles [/tex]

[tex] Ad_{Jun} = 2.85 miles [/tex]

And, in July we have:

[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]

[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]

Hence in June and July, they traveled:

[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]

[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]

Now, we can find how much farther did Addy hike than Audrey in both June and July:    

[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]

Therefore, Addy hiked 0.65 miles more than Audrey.

I hope it helps you!    

h(x) = x2 + 1 k(x) = x – 2

(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate

Answers

Answer:

5, 9, and 17

Step-by-step explanation:

Did it on Edg. 2021 and got it right.

What is the midpoint between (2,4) and (10,16)?

Answers

Answer:

the midpoint would be (5,9)

Answer:

(6, 10 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )

Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus

midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )

The price of Stock A at 9 A.M. Was ​$14.67. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon the price of Stock B was ​$15.17. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

this is how

Step-by-step explanation:

gusto ko lang magka points

Expressions equivalent to (7^3 x^4)^0

Answers

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

x/-8 = -3

help!!! needed urgently

Answers

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

can u guys help me pls

Answers

Answer: The answer to number 1 is 91 adults

Step-by-step explanation: Since 1 on the ratio is 13 people, 13 x 7 is 91.

The answer is number 1 91 adults
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