Answers
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
→ Expand the brackets
[tex]\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0[/tex]
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
⇒ Substitute in the values
[tex]\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0[/tex]
⇒ Simplify
[tex]\frac{1}{2} (1)-\frac{1}{6} (3) = 0[/tex]
⇒ Simplify further
[tex]\frac{1}{2} -\frac{1}{2} =0[/tex]
0 = 0
The solution x = 2 is correct
Related Questions
Two times the length plus two times the width is twenty six.
(As an equation)
Answers
Answer:
2L + 2W = 26 or L + W = 13
Step-by-step explanation:
Assume L is length and W is width.
2 times length = 2L
plus = "+"
2 times width = 2W
is = "="
twenty-six = 26
Which of the following linear equations passes through points (–1, 5) and (1, –5)?
Answers
Answer:
the answer is on the attached paper
Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be represented by g(x)=175+0.05x. Caleb is paid $532 per week plus 2% of his total sales in dollars, xx, which can be represented by f(x)=532+0.02x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answers
Answer: x = $11,900
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Joshua’s earnings: g(x)=175+0.05x
Caleb's earnings: f(x)=532+0.02x.
So, if both earnings are equal:
g(x) =f (x)
175+0.05x =532+0.02x
Solving for x:
0.05x-0.02x = 532-175
0.03x= 357
x = 357 /0.03
x = $11,900
Feel free to ask for more if needed or if you did not understand something.
Which transformations are rigid transformations? Check all that apply.
dilation
reflection
rotation
stretch
translation
Answers
Answer:
Reflection, rotation and translation
Step-by-step explanation:
By definition, a rigid transformation is a transformation that preserves length.
Dilation and stretch change the measure of the figure, and then, they are not rigid transformations.
On the other hand, reflection, rotation and translation don't change the measure of the figure, only change its position and orientation, so, they are rigid transformations.
Reflection, translation, dilation are rigid transformations.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformations is a transformation that preserves the shape and size of the figure. Types of rigid transformation are reflection, translation, dilation.
Find out more at: https://brainly.com/question/22274936
Using the cards,create an improper fraction that is: a) b) c) d) e)
Answers
Tina has 13 cups of water to divide evenly among 7 plants. which of the following best approximates the number of cups of water that each plant will get ?
1/2, 1, 1 1/2, 2, 2 1/2
Answers
Answer:
Option d, 2 cups.
Step-by-step explanation:
Tina has the number of cups of water = 13
She has to divide evenly among the number of plants = 7
The number of cups of water that each plant will get
= [tex]\frac{13}{7}[/tex] cups
= [tex]1\frac{6}{7}[/tex] cups
= 1.857 ≈ 1.9 cups
among the given 4 option, best approximates the number of cups would be 2 cups.
Option d, 2 cups.
What is the solution of the system?
Y=10x-3
Y=7x+2
5/2, 41/3
-1/3, -1/3
3/5, 31/5
-5/3, -29/3
Answers
Answer:
a
Step-by-step explanation:
What is the volume of the sphere in terms of pie
Answers
Answer: The volume is 288π .
Step-by-step explanation:
V= 4/3 *n*r^3
V = 4/3*n * 6^3
v=4/3 *n * 216
v= 288n
A ball-shaped like a sphere has a radius of 2.7 cm. Which measurement is closest to the volume of the ball in cubic cm?
and tell explanation of the answer.
Answers
Answer:
Step-by-step explanation:
V = 4/3 * pi * r^3
V = 4/3 * 22/7 * 2.7^3
V = 82.5 cm^3
Pls help me with this question
Answers
Answer:
6 years and 15 years of age
Step-by-step explanation:
Given the ratio of their ages is 2 : 5 = 2x : 5x ( x is a multiplier )
Then in 9 years their ages are 2x + 9 and 5x + 9 in the ratio 5 : 8
By proportion
[tex]\frac{2x+9}{5x+9}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
5(5x + 9) = 8(2x + 9) ← distribute parenthesis on both sides
25x + 45 = 16x + 72 ( subtract 16x from both sides )
9x + 45 = 72 ( subtract 45 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Thus
Rohit's age = 2x = 2( 3) = 6
James' age = 5x = 5(3) = 15
6 : 15 = 2 : 5
£10 is divided between Alex, Peter &
Angad so that Alex gets twice as
much as Peter, and Peter gets three
times as much as Angad. How
much does Peter get?
Answers
Answer: Peter gets £3
Step-by-step explanation:
Let Angad get x: equation will be 2(3x) + 3x + x = 10
X = 1 = Angad
Peter get 3x = 3*1 = 3
Answer:
Peter gets $3
Step-by-step explanation:
What is the value of x in
4x-2=10
Answers
The answer is 3
4 times 3 is 12 minus 2 is 10
Evaluate: 5^-2 =
O A. 10
O B. 25
O c. -10
O D. -25
Answers
Answer:
It should be 1/25
Step-by-step explanation:
If you only have those answers then answer D
Find the unknown number
1. 364 is 7% of what number
2. 4% of what number is 33
3. 96 is 24% of what number
4. 300 is 80% of what number
5. 15% of what number is 75
6. 32% of what number is 896
Answers
So,
the answers are:
52008254003755002800Look at the attached picture
Hope it will help you....
Good luck on your assignment
Answer:
[tex]1)5200 \\ 2)825 \\ 3)400 \\ 4)375 \\ 5)500 \\ 6)2800[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which table of ordered pairs represents a proportional relationship ?
Answers
Step-by-step explanation:
the second one, they are in proportion to each other in respect to the interfere values
Answer:Second Table
Step-by-step explanation:
B more than the product of c and 10
Answers
Answer:
[tex]B>10c[/tex]
The graph shows an image of a dilation about the origin with a scale factor of . What are the coordinates of the pre-image of , point A? (–8, –12) (–12, –8) (–2, –3) (–3, –2)
Answers
Answer:
A- (-8,-12)
Step-by-step explanation:
I got it right on the test
Answer:
The answer is A. (-8,-12)
Step-by-step explanation:
Because math is math and i got it right on the quiz :)
What's the answer????????
Answers
Answer:
960 cubic inches
Step-by-step explanation:
The formula for volume is V = l x w x h
Therefore, V=16x10x6=960 cubic inches
Which point is an intercept of the quadratic function
x) = (x-8)(x+9)
(0,8)
(0,-8)
(9,0)
(-9,0)
Answers
Answer:
Step-by-step explanation:
x intercepts are points on the graph when the graph crosses the x axis, that is, when y is 0. if y is a sum of a product, then it is 0 when one of its factors is 0.
it's factors are:
x-8 (so x is 8)
x+9 ( I assume that the missing sign is a plus) (x would be -9)
this means that it's x-intercept is (-9,0) - only this option includes the intercept.
The other intercept is (8,0) BRAINLIEST LOL :)
A color printer prints 16 pages in 6 minutes.
How many pages does it print per minute?
Answers
The right answer is 2.67
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
The color printer prints 2.67 pages in a minute.
(Rounded to the nearest tenth)
Step-by-step explanation:
6 minutes = 16 pages
1 minute = x
Cross multiple
6x = 16; then get X by itself
x = [tex]\frac{16}{6}[/tex]
x = 2.67 pages
hurry i will give brainliest!!
Answers
Answer:
i think a
Step-by-step explanation:
i'm not sure
Answer:
its c
Step-by-step explanation:
slopes are negative reciprocals
Which function represents a vertical stretch of an exponential function?
y = 2x
y = 3 times 2 Superscript x
y = 23x
Answers
Answer:
[tex]y = 3 *2^{x}[/tex]
Step-by-step explanation:
It is a vertical stretch by a factor of 3 because a > 1.
Answer:
B= y = 3 times 2 Superscript x
Step-by-step explanation:
Breanne cut 350 fresh flowers to make bouquets. If she wants to place an equal number of flowers in each bouquet, how many groups should she use?
A. 2 groups
B. 4 groups
C. 6 groups
D. 9 groups
Answers
Answer:
2 groups
Step-by-step explanation:
if you divide 350 by two you get 175 verses the others you get decimals
After 2 females leave a party, there are twice as many males as females. Then 9 males leave and there are twice as many females as males. What is the total number of people left at the party after 9 males leave?
Answers
Answer: 9 people are left at the party
Step-by-step explanation:
There was originally 8 females and 12 males
8-2 = 6
Twice the males as females
9 men leave which leaves 3 men and 6 women which is twice as many men
Hope this helps!
find the value of x
Answers
Answer
X= 20 degree angle
Answer:
[tex]34.50 \: \: degrees[/tex]
Step-by-step explanation:
[tex] \tan(x) \: \: = \frac{o}{a} \\ \tan(x ) = \frac{11}{16} \\ \tan(x) = 0.6875 \\ x = 34.50 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Is (1,3) a solution of the graphed inequality?
Answers
yes
Step-by-step explanation:
1,3 is within the shaded area
what is 100-10d
for like terms.
please help will mark Brainliest to any correct!!
Answers
Answer:
[tex]100 - 10d \\ = 10(10 - d)[/tex]
5. 8. 21. 17. 10, 11, 5
What is the median of the set of numbers?
D
A. 5
B. 10
C. 11
D. 17
Answers
Answer:
10
Step-by-step explanation:
You have to set up the number in order. They you have to work you way in from the ends.
hellppp me its due today
Answers
Answer:
The answer should be: $69.84
Step-by-step explanation:
Original: $58.20
Tip: 20% or $11.64
Add those to get: $69.84
If I could have some help on this, that would be great.
Answers
Answer:
D
Step-by-step explanation:
Because gx is equalling less that - and gx is becomeing more becaue its adding .....sorry for bad spelling and bad explanation
Answer:
d
Step-by-step explanation: