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
Fed [463]
3 years ago
5

-5x=-9x=11x=12x=8-5x+6(4x+15)=242

Mathematics
2 answers:
Scrat [10]3 years ago
6 0

Hello there!

<em><u>The answer it should be the the last option "x=8".</u></em>

-5x+6(4x+15)=242\\

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to expand the form.

6(4x+15):24x+90

-5x+24x+90=242

Then you had to add similar by the elements.

-5x+24x=19x

19x+90=242

You had to subtract by 90 from both sides of the equation.

19x+90-90=242-90

Simplify

19x=152

Divide by 19 from both sides of the equation.

\frac{19x}{19}=\frac{152}{19}

Simplify it should be the correct answer.

x=8

Answer⇒⇒⇒⇒x=8

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Lyrx [107]3 years ago
4 0

-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8

You might be interested in
One-fourth of a number is five-eighths. Find the number.
ioda

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

4 0
4 years ago
Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2. Samples of size 100 from
garri49 [273]

Answer:

standard error = 2.11

Step-by-step explanation:

First we stablish the data that we have for each sample:

<u>Population 1</u>                                          <u>Population </u>2

n₁ = 100                                                     n₂ = 90

x¯1= 95                                                    x¯2 = 75

σ₁ = 14                                                        σ₂ = 15                  

To calculate the standard error of each sample we would use the formulas:

σ = σ₁/√n₁

σx¯2 =  σ₂/√n₂

Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:

σx¯1 - σ x¯2  = √(σ₁²/n₁ + σ₂²/n₂ )

So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):

σ₁² = (14)² = 196

σ₂² = (15)² = 225

Now we can proceed to calculate the standard error of the distribution of differences in sample means:

σx¯1 - σx¯2  = √(196/100 + 225/90) =  2.11

This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.

6 0
3 years ago
The sum of a number is<br> 4 less then 2 times a<br> number is 35 what is the number?
Artist 52 [7]
<h2>Answer:</h2>

<em>21.5</em>

<h2>Step-by-step explanation:</h2>
  1. 35 divided by 2 = 17.5
  2. 17.5 + 4 = 21.5
  3. <u>Just do the inverse</u>
5 0
3 years ago
One weekend, Paola started reading a book for school. She read 35 pages of the book on Saturday. On Sunday she read 15 pages an
Sidana [21]
35 + 15 x 4 = 60. Paola read 60 pages in total.
6 0
3 years ago
The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+36 . The object is dropped
kakasveta [241]

Check the picture below.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}

so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?

\bf h(x)=-16x^2+36\implies \stackrel{h(x)}{0}=-16x^2+36\implies 16x^2=36 \\\\\\ x^2=\cfrac{36}{16}\implies x^2 = \cfrac{9}{4}\implies x=\sqrt{\cfrac{9}{4}}\implies x=\cfrac{\sqrt{9}}{\sqrt{4}}\implies x = \cfrac{3}{2}~~\textit{seconds}

now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2  = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

4 0
3 years ago
Other questions:
  • A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?
    5·2 answers
  • Mario collected data from his classmates on their favorite subject among math, science, english and history. The data is display
    14·1 answer
  • 331 student went on a field trip. Six buses were filled and 7 traveled in cars. How many students were in each bus
    14·1 answer
  • The number of chocolate chip
    9·1 answer
  • Whats 2489534+32480923 solve.
    14·2 answers
  • Louis wants to carpet the rectangular floor of his basement. The basement has an area o f605 square feet. The width of the basem
    14·1 answer
  • linda thinks of a two digit number. the sum of the digits is 8. if she reverses the digits, the new number is 26 greater than he
    7·1 answer
  • define f(1) in a way that extends f(s)=(s^3-1)/(s^2-1) to be continuous at s=1. Show step-by-step solution.
    7·1 answer
  • Please help me the answers with an x next to them are wrong, and it’s not the other way around please help!!
    12·1 answer
  • Triangles<br> 14. Find the value of x.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!