1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zina [86]
2 years ago
15

Solve for h h - 3h - 8 = 14 H=?

Mathematics
2 answers:
sweet [91]2 years ago
8 0

The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal.  Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so.  Let's begin solving the expression by combining like terms.

<u>Combine like terms</u>

  • h - 3h - 8 = 14
  • (h - 3h) - 8 = 14
  • (- 2h) - 8 = 14

Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables.  Like in this example we can combine h and -3h because they have have the variable h associated with them.

<u>Add 8 to both sides</u>

  • (- 2h) - 8 = 14
  • (- 2h) - 8+ 8 = 14 + 8
  • - 2h= 22

<u>Divide both sides by -2</u>

  • - 2h= 22
  • \frac{- 2h}{-2}= \frac{22}{-2}
  • h= \frac{22}{-2}

<u>Simplify the expression</u>

  • h= - \frac{22/2}{2/2}
  • h= - \frac{11}{1}
  • h= - 11

Therefore, after completing the steps above we were able to determine that the value of h is equal to -11.

Luba_88 [7]2 years ago
3 0

Answer:

-22

Step-by-step explanation:

h-3h-8=14

-2h=14+8

-2h=22

h=-11

You might be interested in
Please check screenshot
Hunter-Best [27]

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

5 0
2 years ago
Napoleon Crossing the Alps
timama [110]

It took him 2.6 hours to reach the top

Data;

  • Uphill = 6km
  • Downhill = 4km
  • Total time taken = 8 hours

<h3>Speed</h3>

Let us calculate the speed during uphill and downhill

Since the time it took them to descend is twice the time it took them to ascend,

  • Let x represent the time taken to ascend

x + 2x = 8 hours\\3x = 8\\x = \frac{8}{3} \\x = 2.6 hours

From the calculation above, it took him 2.6 hours to reach the top.

Learn more on speed here;

brainly.com/question/4931057

3 0
2 years ago
Read 2 more answers
A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

Now we have everything in order to replace into formula (1):

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
What is the distributive property for 9−12x+6y=
Ulleksa [173]

Because there are no parentheses, I'm assuming you're asking for how to factor this using the GCF, which can be done like so:

9−12x+6y

Factor a 3 out of this expression.

3(3 - 4x + 2y)

The expression has been simplified using the distributive property in reverse.


8 0
3 years ago
Other questions:
  • The greatest common factor <br> 40j-16=
    6·1 answer
  • Find the area of regular polygon. can anyone help me been stuck with this for hours
    13·2 answers
  • Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
    6·1 answer
  • URGENT!!! I REALLY NEED HELP! also its not D I just clicked on it
    15·2 answers
  • What is the decimal form of 100/3, 100/5, and100 /6?
    12·2 answers
  • A listing posted by a restaurant chain gives, for each of the sandwiches it sells, the types of fillings for the sandwiches, num
    13·1 answer
  • PLZ HELP ILL MARK U BRAINLIEST
    13·1 answer
  • How many degrees are in 1/6 of a circle?
    5·2 answers
  • Solve the following problem.<br><br><br> 3/8×3/4=
    8·1 answer
  • Help pls?? tysm if you do❤️
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!