-16=m/5 -18 prove m=10

Answers

Answer 1

Answer:

[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]

Step-by-step explanation:

Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]

 1.  The first is sum both sides by 18

   [tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]

 2. The second is multiply both sides by [tex]5[/tex]

   [tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]

So of this way you can proof that [tex]m = 10[/tex]


Related Questions

70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?​

Answers

Hassan originally had 200 goldfish

Step-by-step explanation:

Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.

Answer:

200goldfish

Step-by-step explanation:

since 30percent(100_70)is60 what about 100percent

100percent/30percent multiplied by 60goldfish=200

Therefore the answer is 200goldfish

Please help me out !! Asap

Answers

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

Drag steps and expressions into place to explain and show how to evaluate x⋅y for x=3 and y=9.

Answers

your pics not loading in

Answer:

1. Substitute 9 for y..............................3 x y

2.  Substitute 3 for X .......................................3x 9

3.   multiply ................................... 27                                        

Step-by-step explanation:

A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons

Answers

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

Write an equation representing how much Keith paid.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Step-by-step explanation:

HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds

Answers

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

Learn more about the multiplication visit:

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Evaluate the question
Pls help:)

Answers

Answer:

18

Step-by-step exp18lanation:

1) Simplify 2 - 4 to -2.

3 - 5 × -2 ÷ 2 × 3

2) Simplify 5 × -2 to -10.

3 - (-10 ÷ 2 × 3)

3) Simplify -10 ÷ 2 to -5.

3 - (-5 × 3)

4) Simplify -5 × 3 to -15.

3 - (-15)

5) Remove parentheses.

3 =+15

6) Simplify.

18

Answer:

24

simple explanation:

{3+[-5(2-4)÷2}×3

{3+[-5(-2)÷2}×3

{3+[-10]÷2)×3

3+5×3

8×3

=24

Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form.

Answers

Refer to the attachment

Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes

Answers

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

What is length?

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

To know more about Length on :

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

think its a

Step-by-step explanation:

the slope is 2/1 but both y int are different

how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm

Answers

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!


A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?

Answers

Answer:

27x5=135

Step-by-step explanation:

Answer:

135$

Step-by-step explanation:

27x5 equals 135$

Would appreciate brainliest

Si se duplica el radio(2) del círculo anterior, el número de veces que aumenta el area del círculo es?

Answers

Answer:

4

Step-by-step explanation:

A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.

Original Problem:

3x−2y=8

x+y=2

Student Work:

3x−2y=8

2x+2y=2

5x=10

x=2

Answers

The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.

They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.

So they should have this new equivalent system

[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]

Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4

Use that x value to solve for y. You should get y = -2/5 = -0.4

Use elimination to solve the system of equations.
x+y=−3
2x−3y=29

Answers

Answer:

(4,-7)

Step-by-step explanation:

Answer:

(4,-7)

Step-by-step explanation:

2x-3y=29

2x+2y=-6

subtracting gives us -5y=35 so y is -7 and x-7=-3 so x is 4. therefore the ordered pair is (4,-7)

ms.ngoc class has 25students. There are 13 girls and 12 boys. If a student is selected at random, what is the probality of not selecting girl

Answers

Answer:

48% of selecting a male 52%of selecting a female

Step-by-step explanation:

If represents the number of entry tickets sold and the hours of space rental, which inequality represents the constraints in the situation

Answers

2000000000017827272626728182

Answer:

no question or any number or question available

What is the value of x?

Answers

C. x = 36

explanation it is a straight angle which means it adds up to 180.
180-72=108
3x=108
x=36

Answer:

AC is straight line.

72°+3x=180°[linear pair]

3x=180°-72°

3x=108°

x=108°/3

x=36°

option c.

10+5-7=3y

-10x+5x+5=-15

3x+2x-4x+10

pre algebra 8th grade math

Answers

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

0.009 ÷ 0.08 please help me I forgot how to divide decimals

Answers

Answer: 0.1125

Step-by-step explanation:

To divide decimals, you move the decimal (.) to the end.

In this case of 0.009 /0.08,

you move the period in 0.08 to the end so it become 8.

And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9

Then you divide.

Hopefully, that makes sense.

ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x

Answers

Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$

Answers

Answer:

It's (8/3) 6  I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!

Answer:

Its 83 the power of 6. Also Please choose my anwer as brainliest

HELP ME PLEASE PLEASE ILL MARK BRAINLIEST

Answers

Answer:

its 5

Step-by-step explanation:

I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5

Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.

Answers

Answer:

y(x) = -400 m + (700 m/hr)x

Step-by-step explanation:

Let y = 0 represent sea level.  Noir's initial altitude was -400 m.  In two hours she went from -400 m to +1000 m, a positive change of 1400 m.  Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or

rate of ascent = 1400/2 m/hr  =  700 m/hr

Thus, an equation describing her altitude relative to sea level after x  hours is

y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed.  This formula correctly predicts the altitude after two hours:

y(2) = -400 m +  (700 m/hr)(2 hr) = 1000 m above sea level.


Can anyone help me with this?

Answers

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph

Answers

Answer:

inequality is:12 ≤ x ≤ 15

Step-by-step explanation:

it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio​

Answers

Answer:

Ratios are basically proportions so in this scenario

We can make it…

brick layers : hours

We’re given the first one which is

3:2

Whilst the one we need to find is only given for brick

For the unknown hours we can make it “x”

4: x

Now we have 2 ratios

3:2

4:x

Now these are fractions and we can make them equal to each other by

3/2 = 4/x

Now cross multiply to solve for x

3x=8

2 2/3 = x

So 2 2/3 hours

Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?

Answers

Answer:

In an hour, Alex can wash 14 windows.

Step-by-step explanation:

10 1/2 windows per 3/4 hour

per usually means a / sign because you are finding the unit rate

10.5/0.75 (I just converted everything into a fraction to make it easier)

solve:

10.5/0.75 = 14

Another way to solve:

10 1/2 / 3/4

= 21/2 * 4/3

= 21*4/2*3

= 84/6

= 14

Check:

If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour

14*3/4

=42/4

=10.5

10.5 is the same as 10 1/2

Please help quick! Thanks!

Answers

Answer:

<

Step-by-step explanation:

8^2=64

64+9=73

73-3=70

8*8=64

64+24=88

88-16=72

70<72

A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.

The area of the solar panel written as power is
square feet.

The side lengths of the solar panel are
feet.

Answers

Answer:

area = 4^2

side lengths 4 ft

Step-by-step explanation:

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