What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7

Answers

Answer 1

Final answer:

The solution shown is incorrect because the equation is not simplified before performing operations.

Explanation:

The solution shown is incorrect. Let's go step by step to find the error:

Step One: -5m - 16 = 19

Step Two: 5m - 16 + 16 = 19 + 16

Step Three: 5m = 35

Step Four: Divide both sides by 5: m = 7

The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.

Therefore, the correct solution is m = 7.

Answer 2

Final answer:

The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.

Explanation:

The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.

Step One

Add 16 to both sides of the equation to eliminate the -16:

-5m - 16 + 16 = 19 + 16

-5m = 35

Step Two

Divide both sides by -5 to solve for m:

-5m / -5 = 35 / -5

m = -7

The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.


Related Questions

--x² + 5x – 8=0
What is the x

Answers

Answer:

x =(-5-√57)/2=-6.275

Step-by-step explanation:

Write a word problem that can be solved by dividing 10 by 2/3 include the answer to the problem

Answers

Answer:  

Step-by-step explanation:

you need to divide 10 by 2/3.

Katty has 10/1 tanks of gas fuel in his truck. He uses 2/3 of it each day.

Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually

What is the balance of Albert’s $2000 after 10 years?

Answers

Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3

Answers

Answer:

A. -x^2-13x+15

Step-by-step explanation:

-4x^2 + 3x^2 = -x^2

-8x + -5x = -13x

6 + 9 = 15

-x^2-13x+15

2/3xd=10/9 what is d

Answers

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

Final answer:

To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.

Explanation:

To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:



d = (10/9) * (3/2) = 30/18 = 5/3



Therefore, d = 5/3 or d ≈ 1.67.

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-4x-2y=-12 4x+8y=-24

Answers

Answer:

[tex]x=6\\ \\y=-6[/tex]

Step-by-step explanation:

Given the system of two equations:

[tex]\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.[/tex]

Add these two equations (left side add to left side and right side add to right side):

[tex]-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6[/tex]

Substitute [tex]y=-6[/tex] into the first equation:

[tex]-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6[/tex]

The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?

Answers

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

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Amount of milk add by customer is 1/9 pint of liquid

Given that;

Holding capacity of cup = 7/9 pint of liquid

Liquid fill by Emily = 2/3 pint of liquid

Find:

Amount of milk add by customer

Computation:

Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily

[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]

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a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.

Answers

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]

The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:

y - y₁ = m(x - x₁)

For the line that passed through the point (8, 9) and has a slope of -3/4

x₁ = 8, y₁ = 9, and m = -3/4

Substitute these values into the equation y - y₁ = m(x - x₁)

[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]

Express the equation above in the form y = mx + c

[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]

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test patti green and her husband are purchasing a condominium for $123000. They have $15000 for a down payment. what is the amount of their mortgage loan? ​

Answers

Answer:

there amount would be 108,000

Step-by-step explanation:

um...

123,000 - 15,000

= 108,000

give me brainly :)

What is blank divided by 9 equals 5

Answers

Answer:

45 divided by 9 equals 5

Step-by-step explanation:

45
9x5=45
45 divided by 9 equals 5

If bob washed the car in 6 minutes and jack washed it in 8 minutes how long did it take them together

Answers

Answer:

14 minutes

Step-by-step explanation:

8 + 6 = 14

Abigail's car uses 3 2/3 gallons of gas every hour on a long distance trip. How many gallons does the car use in 8 1/2 hours?

Answers

Answer:

31.166 repeating

Step-by-step explanation:

-5x = -2x - 3
What dose x equal

Answers

Answer:1

Step-by-step explanation:

-5x=-2x-3

-5x+2x=-3

-3x=-3

X=1

Answer:

X=3/7

Step-by-step explanation:

michael breeds chicken and ducks

last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chicken's and 36 ducks for $532.
how much Does a chicken cost and how much does a duck cost?​

Answers

Answer:

cost of a chicken $7.25

cost of a duck $4.25

Step-by-step explanation:

Let c represent chickens and d represent ducks

50 chicken + 3 ducks = $550 ➡ 50c + 30d = $550

44 chicken + 36 ducks = $532 ➡ 44c + 36d = $532

Now find the difference of equations

(50c + 30d) - (44c + 36d) = $550 - $532

6c - 6d = $18

6×(c-d) = $18 divide both sides by 6

c - d = $3 Now we can use this information to find the cost of a chicken and duck

50c + 30d = $550

c - d = $3 multiply second equation by 30

30 × (c-d) = $3 ➡30c - 30d = $30

Now add this new equation we found to the very first equation

30c - 30d + 50c + 30d = $550 + $30 (-30d will eliminate 30d)

80c = $580 divide both sides of the equation by 80

c = $7.25

We know that c - d = 3 so now replace c by $7.25 the price we just found

$7.25 - d = $3

$7.25 - $3 = d

$4.25 = d

What identity can be used to rewrite the expression 27x^3-64?


Answers

Option A:

Difference of cubes

Solution:

Given expression is [tex]27 x^{3}-64[/tex].

27 can be written as [tex]3^3[/tex].

64 can be written as [tex]4^3[/tex].

[tex]27 x^{3}-64=3^3x^3-4^3[/tex]

[tex]27 x^{3}-64=(3x)^3-4^3[/tex]

To find the identity to rewrite the given expression:

Option A: Difference of cubes

[tex]27 x^{3}-64[/tex] can be rewritten as [tex](3x)^3-4^3[/tex].

That means the difference of two cubes.

So, it is true.

Option B: Difference of squares

[tex]27 x^{3}-64[/tex] cannot be written as square terms.

So, it is false.

Option C: Sum of cubes

[tex]27 x^{3}-64[/tex] cannot be written as sum of cubes.

So, it is false.

Option D: Pythagorean Triples

[tex]27 x^{3}-64[/tex] cannot be written as Pythagorean Triples.

So, it is false.

Hence difference of cubes if the correct answer.

which of the following is equivalent to log9w

Answers

what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz


Find the y-intercept of the line: 9x – 8y + 5 = 0

Answers

Answer:

-8y = -9x - 5

y = (9/8)x + 5/8

Step-by-step explanation:

y-int 5/8

Final answer:

The y-intercept of the given line equation 9x – 8y + 5 = 0, is 5/8, which is obtained by rearranging the equation into the slope-intercept form.

Explanation:

The subject pertains to finding the y-intercept of a line from a given equation, which is a topic in Algebra.

The equation given is 9x – 8y + 5 = 0. First, we need to rearrange the equation into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Arranging the equation, we get: -8y = -9x -5, which simplifies further to y = 9/8x + 5/8. So, the y-intercept of the line is 5/8.

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which could be the function graphed below

Answers

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

Answer:

a

Step-by-step explanation:

Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?

Answers

Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.

Hope this helps, if not, comment below please!!!

Answer:

The answer is 14.

Step-by-step explanation

33-5=28

28/2=14

Write as an equation/inequality. x is less than or equal to 38.

Answers

Answer:

x[tex]\leq[/tex]38

Step-by-step explanation:

bring back the x and the 38 with a space between to decide on the symbol put back i the less than sign between both terms then put a line underneath to form the symbol less than or equal to.

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.

Answers

Answer: The speed of the faster lane is 800 km/hour and the slower plane is 600 km/hour

Step-by-step explanation:

The speed of the faster plane is 800 km/h and the speed of the slower plane is 600 km/h.

The given parameters:

Distance traveled by both planes, d = 3600 km

Let the speed of the faster plane = vThe speed of the slower plane, u = v - 200 km/hLet the time taken for the faster plane = t hoursTime taken for the slower plane to arrive = t + 1.5 hours

The distance traveled by both planes is the same;

d = u(t + 1.5) ---(1)

d = (v - 200) (t + 1.5)

3600 = vt + 1.5v - 200t  - 300  

d = vt  ----(2)

3600  =  vt

[tex]v = \frac{3600}{t}[/tex]

[tex]3600 = \frac{3600}{t} t \ +\ 1.5 (\frac{3600}{t} ) \ - \ 200 t - 300\\\\3600 = 3600 + \frac{5400}{t} - 200t - 300\\\\300 = \frac{5400}{t} - 200t\\\\300t = 5400 - 200t^2\\\\200t^2 +300t - 5400 = 0\\\\2t^2 + 3t- 54= 0\\\\(2t - 9)(t + 6)= 0\\\\t = 4.5 \ \ or \ \ -6 \ \\\\t = 4.5 \ hours[/tex]

The speed of the faster plane is calculated as;

[tex]v = \frac{3600}{t} \\\\v = \frac{3600}{4.5} \\\\v = 800 \ km/h[/tex]

The speed of the slower plane is calculated as follows;

[tex]u = v- 200\\\\u = 800 - 200\\\\u = 600 \ km/h[/tex]

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What two numbers multiplies to 16 and adds to -17?

Answers

-16 and -1 multiply to be 16, but add to be -17

Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM
fee every time you withdraw money from a non-sponsored ATM, and the other charges you no
ATM fees and a $15 monthly fee.
How many ATM transactions are equivalent to $15 in monthly fees?

Answers

Answer:

10

Step-by-step explanation:

$15.00 / $1.50 = 10

Answer this question please. I need help!!☺️

Answers

Step-by-step explanation:

From the looks of it, it seems that you're factoring out the greatest common factor. I gotcha covered.

The square boxes are the biggest common factors in those equations. Hopefully, this helps!

What is the simplest form for 28 out of 32

Answers

Answer:

7/8 decimal form: 0.875

Step-by-step explanation:

28        4

----   ÷   ----   = 7/8

32        4      

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x

Answers

Final answer:

The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.

Explanation:

First, let's state the degree and identify the term with the greatest degree.

The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.

So, in summary:

1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.

2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.

my math problem dealing with fractions ask What is 1/8 of 9?

Answers

Answer:

a

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

1/8 of 9

Of means multiplication

1/8 x 9

= 9/8

= 1 1/8

A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)

Answers

Answer:

The swimming pool will contain approx [tex]8243\ gal[/tex] of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are [tex]20\ feet[/tex] diameter with a height of [tex]3.5\ feet.[/tex]

Also, [tex]1\ ft^3 =7.5\ gal[/tex]

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be [tex]\pi r^2h[/tex]

The height [tex](h)[/tex] is given as [tex]3.5\ feet.[/tex] To calculate radius [tex](r)[/tex] we will divide the diameter by two.

The radius of the cylinder would be [tex]\frac{20}{2}=10\ feet[/tex]

Plug these values in the formula we get,

[tex]\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3[/tex]

Now, it is given [tex]1\ ft^3 =7.5\ gal[/tex]

So, [tex]1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal[/tex]

The swimming pool will contain approx [tex]8243\ gal[/tex] of water.

To find the volume of the cylindrical pool, calculate the radius, then use the formula for the volume of a cylinder, finally convert the volume to gallons. The cylindrical swimming pool can contain approximately 8267 gallons of water.

Calculate the radius: radius = diameter / 2 = 20 ft / 2 = 10 ftCalculate the volume: volume = π * radius^2 * height = π * 10^2 * 3.5 = 350π ft^3Convert to gallons: 350π ft^3 * 7.5 gal/ft^3 ≈ 8267 gallons (rounded to the nearest whole number)

Factorize completely
81k^2 - m^2

Answers

81k^2 - m^2 factors to

(9k + m)(9k - m)

Prove this by FOILing.

First - 81k^2

Outer - (-9km)

Inner - 9km

Last - (-m^2)

Put it into equation form

81k^2 - 9km + 9km - m^2

And combine terms to get the original equation,

81k^2 - m^2.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

(9k+m) X (9k - m)

Step-by-step explanation:

81[tex]k^{2}[/tex] - [tex]m^{2}[/tex]

= (9k)^2 - (m)^2 ( taking the square roots)

=(9k+m) (9k - m)

here we have applied the rules of a^2 - b^2 = ( a+b) ( a -b)

here 9k is taking as a and m is taking as b

thus you get your answer.

hope it helps.

4m is greater or less then 400 dm

Answers

Answer:

greater

Step-by-step explanation:

4m is greater than 400 dm
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