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
Anni [7]
3 years ago
5

Please look at the image provided.

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

x=3

Step-by-step explanation:

\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96

=48x-96\\\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30\\6\left(x+5\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=6,\:b=x,\:c=5\\=6x+6\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:5=30\\=6x+30\\48x-96=6x+30\\\mathrm{Add\:}96\mathrm{\:to\:both\:sides}\\48x-96+96=6x+30+96\\Simplify\\48x=6x+126\\\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}\\48x-6x=6x+126-6x\\\mathrm{Simplify}\\42x=126\\\mathrm{Divide\:both\:sides\:by\:}42

\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3

You might be interested in
6.3.6. Among the early attempts to revisit the death postponement theory introduced in Case Study 6.3.2 was an examination of th
kakasveta [241]

Answer:

So the Null hypothesis is rejected in this case

Step-by-step explanation:

  The number of celebrities is  n = 348

   

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month  

     

  Generally if there is no death postponement then p will be mathematically evaluated as

            p = \frac{1}{12}  

This implies the probability of date in one month out of the 12 months

Now from the question we can deduce that the hypothesis we are going to be testing is  

  Null Hypothesis  \  \  H_0 : p = 0.083

This is a hypothesis is stating that a celebrity  dies in the month preceding their birth

  Alternative \ Hypothesis  H_1 : p < 0.083

   This is a hypothesis is stating that a celebrity does not die in the month preceding their birth

       is c is the represent probability for each celebrity which either c = 0 or c = 1

Where c = 0 is that the probability  that the celebrity does not die on the month preceding his/ her birth month

     and  c =  1  is that the probability  that the  celebrity dies on the month preceding his/ her birth month

  Then it implies that

   for  

       n= 1 + 2 + 3 + .... + 348  celebrities

Then the sum of c for each celebrity would be  c_s = 16

i.e The number of celebrities that died in the month preceding their birth month

We are told that the significance level is  \alpha  = 0.05, the the z value of \alpha is

              z_{\alpha } =  1.65

This is obtained from the z-table

Since this test is carried out on the left side of the area under the normal curve then the critical value will be

                 z_{\alpha } = - 1.65

So what this implies is that  H_o will be rejected if

                z \le -1.65

Here z is the test statistics

Now z is mathematically evaluated as follows

                  z = \frac{c - np}{\sqrt{np_o(1- p_o)} }

                z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }

                z =-2.50

From our calculation we see that the value of z is less than -1.65 so the Null hypothesis will be rejected

   Hence this tell us that the  evidence provided is not enough to conclude  that 16 celebrities died a month to their birth month

8 0
3 years ago
Subtract the quotient of 15 divided by 4 from the sum 33 and 7
weeeeeb [17]
33+7-15/4
=40-3.75
=36.25
5 0
3 years ago
What is the percent increase modeled in the function f(x)=20(1.5)^x
blagie [28]
The increase is D: 50% because the 1 in the parentheses stands for the 20 that was already there, with the .5 being the amount that’s actually being increased. 0.5 translates to 50%, so the answer is D.
6 0
3 years ago
What is an equation that uses the distributive property and equals 4
Fed [463]
1/2(2 + 6) is another one boi
7 0
3 years ago
HELP ME PLZ<br> (50 POINTS)
Bogdan [553]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula for circumference is \pi d

1) \pi d = 31.4

Divide both sides by \pi

d = 9.99 (consider this to be 10)

Half this to find the radius

10/2 = 5

It would be figure B.

2) \pi d = 37.68

Divide both sides by \pi:

d = 11.99 (consider this to be 12)

Divide by 2 to find the radius:

12/2 = 6

It would be figure C.

3) area = \pi r^2

\pi r^2 = 153.86

r^2 = 48.97515909

r = 6.998 (consider this to be 7)

It would be figure D

4) \pi r^2 = 113.04

r^2 = 35.98174

r = 5.998 (consider this to be 6)

It would be figure C.

5) radius = diameter / 2

radius = 3

\pi (3)^2 = 28.27433

It would be option C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
Read 2 more answers
Other questions:
  • You earn $8 for hour of work. How much do you earn per hour?
    12·2 answers
  • Look at this prism and its net. What is the surface area of this rectangular prism? _____________ ft2
    13·2 answers
  • Why is it important to look at more than just the first two numbers of a pattern to decide the rule for a pattern?
    13·1 answer
  • What is the solution set of the equation |2x+3|=7 in the set of rational numbers?
    10·2 answers
  • A bicycle store costs $2800 per month to operate. The store pays an average of $80 per bike. The average selling price of each b
    13·1 answer
  • Jenna bought 5 pounds of apples for 6.85 what is the unit price per pound of apples
    8·2 answers
  • A. Use your calculator to work out the exact value of 13822 x 623/ 14
    12·1 answer
  • What is 5 times 7 minus 279 plus 3​
    5·2 answers
  • If you get this right i’ll give u the brainliest answer
    12·1 answer
  • HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!