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
zlopas [31]
3 years ago
5

Mentally determine the value of x that makes each equation true. 2(x−1)=10

Mathematics
1 answer:
alexdok [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Divide both sides by 2

x - 1 = 5

Add 1 to both sides

x - 1 + 1 = 5 + 1

Combine

x = 6

You might be interested in
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
Function h(x) = x + 4<br> If your input was 2, what is your output?
Natalka [10]

Answer:

h(2)=6

Step-by-step explanation:

just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6

3 0
3 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
tigry1 [53]

Answer: B. 25%

Step-by-step explanation:

64-48 = 16

16/ 64= 0.25

0.25 x 100 = 25%

8 0
3 years ago
Jack is mixing a cleaning solution that is 12% bleach.After mixing the solution,jack has 150 ounces of cleaning solution.how man
marysya [2.9K]
To solve for the ounces of bleach that Jack used, we utilize the formula below

Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces

<em>ANSWER: 18 ounces of bleach</em>
5 0
3 years ago
What are the side lengths of the equilateral triangle?
Alchen [17]

5x  +  (6x - 5) + (3x + 10) = 360

5x  + 6x - 5 + 3x + 10 = 360

11x - 5 + 3x + 10 = 360

14x + 5 = 360

14x = 360 - 5

14x = 355

x = 25.36

<h2><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h2>

x = 25.36

5x = 5 \times 25.36 = 126.8

6x - 5 = 6 \times 25.36 - 5 = 147.16

3x + 10 = 3 \times 25.36 + 10 = 86.08

4 0
3 years ago
Other questions:
  • The perimeter of a square is 36 inches. Find the length of a diagonal. Round your answer to the nearest tenth.
    7·2 answers
  • If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day with a half-hour break for l
    5·2 answers
  • What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2
    10·2 answers
  • 17. The length of a swing is 2.1 m. If the length
    13·1 answer
  • HELP ASAP FOR BRAINLIEST!
    14·1 answer
  • hey what's up girl/boy well um I need a bit of help, okay my question is this might sound like a baby question but whats 76X29 s
    14·2 answers
  • A?<br> B?<br> C?<br> B?<br> I need help
    10·1 answer
  • For what values of the variable, do the following fractions exist: y^2-1/y+y/y-3
    5·1 answer
  • Is this correct ? ..............
    15·1 answer
  • 2688 divided by 96 with remainder
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!