3/4 (6x + 1) - 3x = 1/4 (2x - 1)

Answers

Answer 1
3/4*(6x+1)-3*x-(1/4*(2*x-1))=0
X=1
Answer 2

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

[tex]\mathbf{\dfrac{3}{4} (6x + 1) - 3x =\dfrac{1}{4} (2x - 1) }[/tex]

Let's multiply both sides by 4 to eliminate the fraction.

[tex]\mathbf{(\dfrac{3}{4} \times 4) (6x + 1) - 3x =(\dfrac{1}{4} \times 4 ) (2x - 1) }[/tex]

[tex]\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }[/tex]

Open brackets;

18x + 3  - 3x = 2x - 1  

By rearrangement;

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

Collect like terms

15x - 2x = - 3 - 1

13x = - 4

Divide both sides by 13

[tex]\mathbf{\dfrac{13x}{13} = \dfrac{-4}{13}}[/tex]

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Learn more about algebraic expressions here:

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Related Questions

given : 2x+8=5x-13; prove x=7

Answers

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket

Answers

Answer: See explanation

Step-by-step explanation:

1. Cost = $413

Sales percent = 6.5%

Cost of bike = $413 + (6.5% × $413)

= $413 + (0.065 × $413)

= $413 + $26.845

= $439.85

2. Cost of dishwasher = $569

Commission rate = 18%

The expression for the commission will be:

= 18% × $569

= 18/100 × $569

= 0.18($569)

Answer:

D

Step-by-step explanation:

In HIJ below, what is the value of y?
PLEASE ANSWER

Answers

Answer:

110

Step-by-step explanation:

The value of x in the given figure is y = 110. Hence option 3 is true.

Given that,

A triangle is shown in the image.

Apply the concept of the triangle that states,

The sum of two opposite interior angles in a triangle is equal to the measure of the exterior angle.

Hence we get;

y° + 20° = 130°

Subtract both sides by 20,

y = 130° - 20°°

y = 110°

Therefore, option 3 is true.

To learn more about the triangle visit;

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how do i simplify 6⁴ 6⁸ please help its dou today ​

Answers

Answer: 6^12 (or 2176782336)

When you multiply exponents with the same base, you add the exponents together. (e.g., x^m · x^n = x^m+n)

6^4 · 6^8 = 6^4+8 = 6^12

An advertisement reads “All Toys 35% Off.” How much money will you save if you buy a remote-control helicopter originally priced at $49?
$14.00
$17.15
$20.00
$31.85

Answers

Answer:

$17.15

Step-by-step explanation:

Answer:

17.15

Step-by-step explanation:

(9,3) (0, 12) dtermine the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

(9,3) (0,12)

(x1,y1) (x2,y2)

to find the slope, use this equation:

y2-y1/x2-x1

12-3/0-9

the slope is 9/-9 = -1

Divide. Write in simplest form.

2/3 divided by 1/5

Answers

Answer:

3 1/3 or 3.3(repeated)

Step-by-step explanation:

2/3 ÷ 1/5

= 2/3 × 5

= 10/3

= 3 1/3 or 3.3(repeated)

I hope this helped!

Plz help! Is this right? Question is below!

Answers

Answer: I believe it's correct. Good Job! :D

why is algebra so hard ​

Answers

C. She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
The correct answer is C.

School was starting and James had $300 to spend on clothes. He bought a pair of shoes for$62.50, 3 shirts for $17.25 each, and 5 pairs of jeans at $27.75 each. How much change will James get back? *

Answers

Answer:

$47

Step-by-step explanation:

Multiply the quantities of each by the prices, then add it all together to find total spent. Subtract total spent from what he has to spend to find the change:

3 shirts x 17.25 = 51.75

5 jeans x 27.75 = 138.75

Total pent : 62.50 + 51.75 + 138.75 = $253.00

Change : 300 - 253 = $47.00

(–1) + 5 – (–6) – 5 =

Answers

Answer:

The answer is 5

Answer:

The answer is 5

Step-by-step explanation:

ZA is a supplement of 2B. ZA is a complement of LC, and m2B= 124. Thus,
m2B + m2
degrees.

Answers

Can’t get the answer what is m2?

You deposit $1,200 in a savings account that earns simple interest at a rate of 3% per year. How much interest will you have earned after 3 years? Formula I= Prt

Answers

Answer: $ 1,311.27

Step-by-step explanation:

Hope this helps!

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3 4 pounds the first month and 11 5 8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?

Answers

Given :

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.

To Find :

How much weight must be lost the third month for the goal to be achieved.

Solution :

Let, weight lose in third month is x.

So, 8 3/4 + 11 5/8 + x = 26

[tex]\dfrac{32+3}{4}+\dfrac{88+5}{8}+x=26\\\\x = 26 - ( \dfrac{35}{4}+\dfrac{93}{8})\\\\x=5.625\ pounds[/tex]

Therefore, weight lose in third month is 5.625 pounds.

Hence, this is the required solution.

Which statement justifies whether or not the two quadrilaterals are congurent

Answers

Answer:

is there photo

Step-by-step explanation:

please post the photo

While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?

Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.

Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation.

Because the vertical line did intercepted the vertical line exactly twice, the graph is a function and relation.

Because the vertical line intercepted the graph exactly twice, the graph is a function.

Answers

Answer:

The correct option is;

Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function

Step-by-step explanation:

Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function

Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function

With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.

Answer:

a

Step-by-step explanation:

SOLVE QUESTION 3 PART A AND B !! WILL GIVE BRAINLIST ..

Answers

Answer:

28π, reasonable

Step-by-step explanation:

A. Circumference is 2πr (or dπ), so we plug in 14 for r

this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π

B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable

| 2 +r | ≥ 3 (lines are absolute value)

Answers

Answer:

r ≤ -5 and r ≥ 1

Step-by-step explanation:

The solution has two parts:

1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive.  Then:

                   2 + r ≥ 3, or r ≥ 1

and

that derived from | 2 +r | ≥ 3 when (2 + r) is negative.  If (2 + r) is negative, then

|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3.  Therefore, -2 -r ≥ 3, or -r ≥ 5.  To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign:  r ≤ -5

A continuous function graph shows unbroken lines or curves or part of a line or curve.

Answers

This is very true for a function that is continuous.

A ladder is placed against a wall. The foot of the ladder is 3 feet away from the wall and the top of the ladder hits the wall 15 feet off the ground. What is the slope of the ladder?

Answers

Answer:

Slope = 15.2970585

Step-by-step explanation:

65.7 x 10^6 =

What is this answer

Answers

Answer:

65700000x

Step-by-step explanation:

thats the answer

Answer: 65700000

Step-by-step explanation:

65700000x

Please I need some answers

Answers

Step-by-step explanation:

1)4+9 = 13

2)9+16 = 25

3)4+16 = 18

4)9+25 = 34

Answer:

i) 13    ii) 25   iii) 20     iv) 34

Step-by-step explanation:

they are all exponents of 2 so you multiply each number by itself once.

i) 2x2 +  3x3

ii) 3x3 + 4x4

iii) 2x2 + 4x4

iv) 3x3 + 5x5

(next time you can use a calculator lol)

1.The sales tax for a $49.30 sandals with a 8.25% sales tax is $
2.The total cost of the sandals is $

Answers

Answer:

$53.36

Step-by-step explanation

5/16 ÷ 5/12
3 1/5 • 2 3/4
6 3/8 ÷ 2 1/4
i need all of these to be reduced to lowest term, if someone could do a step by step process that'd be great. thank you :)

Answers

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)

51 × 1/ 9× 2

51 / 18

Divide by 3:

17/6

rationalise the denominator of 5√7 / √5

Answers

Question

Rationalize the denominator of 5√7/ √5

Answer

5√7 / √5

=> 5√7/√5×√5/√5

=> 5√7×5/(√5)^2

=> 5√35/5

=>√35

=> 5√7

So, the required answer is 5√7 .

a 95% confidence interval is found to be (24, 30). The sample standard deviation is 7.5, and the sample size is 25. If you wanted a smaller interval what could you do?
A. increase the confidence level to 99.7%.
B. increase the sample size to 36.
C. decrease the sample size to 20.
D. None of these.

Answers

Answer:B. Increase the sample size to 36

Step-by-step explanation:

First of all, the size of the sample must be greater than 30. Then the correct option is B.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

A 95% confidence interval is found to be (24, 30).

The sample standard deviation is 7.5, and the sample size is 25.

First of all, the size of the sample must be greater than 30. Then we have to increase the sample size up to 36.

More about the normal distribution link is given below.

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Can someone help me??

Answers

Answer:

E

Step-by-step explanation:

3x is the 3 lines.

+5 is the 5 dots

= -4 is the 4 black dots

You are a photographer Acustomer wants you to make
a photographic display that is 4.} feet tall by 21 feet
wide. Each photograph is sa inches tall by 3 - inches
wide. The photographs are to be displayed with the
longer dimension vertical and with no overlaps.

How many photographs will fit on the display?

8
9
30
54
72

Answers

8 hope this helped yahwsah

Can someone help me ?please

Answers

Answer:

maybe try 672cm?

Given f(x)=2x+3 and g(x)= -2x2 - 4x +4, find the value of f(3)

Answers

Answer:

9

Step-by-step explanation:

f(x)=2x+3

f(3) = 2(3) + 3

= 6 + 3 = 9

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