Answer:
x = 2
Step-by-step explanation:
[tex]\frac{3x-5}{6} = \frac{1}{6} \\[/tex]
In order to solve this, you must get the denominator off of the left-hand side of the equation, by multiplying 6 on each side, in order to get the denominators to cancel. This leaves you with:
[tex]3x-5 = 6/6\\3x-5 = 1[/tex]
Then, you add 5 to each side.
[tex]3x = 6[/tex]
Divide by 3, to get x by itself.
[tex]x = 2[/tex]
Which gets us to our final answer of x = 2.
Then, you can plug x back into the equation just to double-check yourself:
[tex]\frac{3(2)-5}{6} = \frac{1}{6} \\\\\frac{6-5}{6} = \frac{1}{6}\\\\\frac{1}{6} = \frac{1}{6}[/tex]
I hope that this helped you understand to concept a little better. Good luck.
How many coins are in each pouch?
Answer:
14
Step-by-step explanation:
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17
Step-by-step explanation:
what is (3z+1) + (5+7z)
the answer is:
10z+6
hope this helps :)
I need help please !! I'll give brainliest ♥
Write the equation of the line given a slope of 0 through the point (5, -7)
Answer:
y=-7x+5
Step-by-step explanation:
What ratio in simplest form. 36:12
Input. Output
2. 10
4. 18
6. 22
Answer:
incomplete question
Step-by-step explanation:
Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
Learn more about the arithmetic series from here
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I need help- Badly I forgot how to do this- yikes
Answer:
Step-by-step explanation:
An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)
12 (3 + 4) =
36 + 48
0.84
123 + 124
15 + 16
PLEASE HELP ME ?!?!?!
Answer:
19
Step-by-step explanation:
time spent fishing and the amount of bait in the bucket
Answer:
not proper information is given
A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?
Answer:
Well, you would need to graph both, and you can see they intersect at the point (12,15)
Consider the rectangular prism.
What is the surface area of the rectangular prism?
Answer:The answer would be 240in 2
Step-by-step explanation:10 times 6 is 60 times 4 is 240 I hope this helps.
What is the length of r and t ?
Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour
Answer:
14 miles per hour
Step-by-step explanation:
The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour
A farmer's annual income is represented by the variable x. The farmer will pay 25% of his income for federal taxes and 9% of his income for state taxes. Which two expressions represent the amount of money the farmer will have after paying these taxes?
0.34x
0.66x
1 – 0.34x
x – 0.34x
x(0.25 + 0.09)
Answer:
x - 0.34x
Step-by-step explanation:
A ladder is103 inches tall. How tall is it in feet and inches?
Answer:
8.58333
Step-by-step explanation:
round to 8.6 feet
Answer:
8 foot and 5 inches
Step-by-step explanation:
White as an algebraic expression: the sum of 3 and the product of p and 7
Answer:
The answer is 3 + p × 7.....
.
A town has a population of 12,000 and grows at 5% every year what will the population after 12 years be to the nearest whole number
Brain Teaser
> Solve this riddle.
I am an even factor of 24.
I have only 2 factors.
Which number am I?
Answer:
You're the number 2.
Step-by-step explanation:
2 is even, is a factor of 25, and only has the factors 1 and 2.
Answer:
Its 2.!!!
Well no need for step- by- step explanation cuz only two has 2 factors. LOL!!
Hope it helped!!!
Solve the inequality 1/3(x-6)>2
Answer:
x>12
Step-by-step explanation:
1/3(x-6)>2
distribute 1/3
1/3x-2>2
add 2 to both sides
1/3x>4
multiply both sides by 3
x>12
14. Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
A. y = x –1
B. y = 0.5x –1
C. y = -0.5x + 5
D. y = -0.5x + 1
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line is y = -0.5x + 5
Option C is the correct option.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line y = mx + c.
The line passes through (4, 3) and (6, 2).
This means,
We can find the slope using the coordinates (4, 3) and (6, 2).
Slope = m
m = (2 - 3) / (6 - 4)
m = -1 / 2
Now,
For the y-intercept.
Take any point.
(4, 3) = (x, y)
y = mx + c
3 = (-1/2)4 + c
3 = -2 + c
3 + 2 = c
c = 5
Now,
m = (-1/2) = -0.5
c = 5
The equation of the line is y = -0.5x + 5
Thus,
The equation of the line is y = -0.5x + 5
Option C is the correct option.
Learn more about equation of a line here:
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PLS HELP IM TIMED!!
The sum of the measures of all the interior angles of a regular dodecagon
is 1800°. What is the measure of each of its interior angles?
- A) 150°
- B) 160°
- C) 180°
- D) 192°
Answer:
A) 150°
Step-by-step explanation:
Hope I helped you
Answer:
its A
Step-by-step explanation:
can someone pls help me with this before I fail
Answer:
Answer is C
Step-by-step explanat
HELP
Question 6 (1 point)
How likely is it for the spinner to land on a C?
There is a
% chance the spinner will land on a C.
Blank 1:
Answer:
The likeliness to land on C is 1/2
Step-by-step explanation:
hope this helps
The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?
Answer:
$49
Step-by-step explanation:
$70 - 30% = $49
Answer
its 47$
Step-by-step explanation:
You divide the number by the percentage which in this problem would look like 0.30 and then you move the decimal to the left once after you get your answer this is about
Sound fruit seller earns a $0.40 profit for each Apple that it sells and a $0.40 profit for each bananas at its cells which expression shows Sam's total profit from selling apples and bananas
Answer:
[tex]P= 0.4x+ 0.4y[/tex]
Step-by-step explanation:
Given data
Profit from apple= $0.4
Profit from banana= $0.4
Let the number of Apples sold be x, and the number of bananas sold be y
and the total profit be P
Hence the expression for the total profit is given as
[tex]P= 0.4x+ 0.4y[/tex]
solve the following for x 4(x+2) = 6x
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
4(x+2)=6x
distribute 4:
4x+8=6x
Subtract 4x from each side:
8=2x
Divide both sides by 2:
x=4
3x-4/5=-1/2 what is the value of x ?
Answer:
the value of x is 0.1
Step-by-step explanation:
i hope this helped
have a good day