Solve the equation 3/4-4x+7/2=-9x+5/6 show work

Answers

Answer 1

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer 2

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer


Related Questions

Please help me ASAP please please

Answers

Answer:

x = 67°

Step-by-step explanation:

angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.

Lin's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Group of answer choices

24.5 miles

59.5 miles

200 miles

50 miles

Answers

Answer:

70x = 35

100

cross multiply

70x= 35 × 100

70x= 3500

divide both side by 70

70x = 3500

70 70

x= 50miles

A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?​

Answers

Answer:

15

Step-by-step explanation:

There are 18x10/1 players in league

part A: The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each players in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.



part B: how much would it cost to order sweatpants for each player? write and solve an equation with a variable to show your work.


1: Which cost more: 136 sweatpants or 103 sweatshirts? How much more?



Parts A: Coach sandberg wants to order 115 jackets and 27 caps for $12 each.

Estimate the total cost for his order. Show your work


what is his total cost? compare your answer to your estimate

Answers

Answer: a little too late but in case anybody else needs it!

Step-by-step explanation:

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.

Answers

[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]

The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cosec(θ)=−5 for interval [−π/2,π/2].

We know Sinθ=1/cosecθ

Cosecθ=1/sinθ

Now cosec(θ)=−5

-5=1/sinθ

sinθ=-1/5

θ=sin⁻¹(1/5)

θ=sin⁻¹(1/5)

θ=-11.54⁰ or 348.86⁰

Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

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Problem 3.2
The tires on a mining truck are 14 feet tall.
Is this measurement the diameter, radius, or
circumference?
Diameter
Radius
Circumference

Answers

Answer:

it is Circumference this is my answer

Answer:

circumfrence

Step-by-step explanation:

Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)​

Answers

Answer:

Gogogigi

Step-by-step explanation:

i will mark as brainliest PLZ HELPPPPPP

Answers

A because The area of the pen = 10*6 = 60 sq. ft.
we know square gives maximum area.
so 8*8 =64
He could have gained 4 sq.ft

Can someone please help me

Answers

Answer: i don''t know the answer im sorry i hope someone helps you :)

Step-by-step explanation:

can anyone help me with this asap. thank you in advance.​

Answers

use the perimeter formula

P=2l+2w

P=2(3x+2)+2(x+4)

P=6x+4+2x+8

P=8x+12

plsssssss answerrrrrr

Answers

Answer:

Step-by-step explanation:

Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120

angle C and angle B are supplementary and so their sum is equal to 180

B = 180 - 120

B = 60

angle D and angle B are also alternate so their measure is also equal to each other therefore

D = 60

Item 4 Evaluate. [(1 1/4−3/4)⋅(−2/3)3]÷(−4) What is the value of the expression? Enter your answer as a simplified fraction in the box.

Answers

Answer:

1/27

Step-by-step explanation: I took the quiz and the right answer is 1/27

The value of the given expression would be 0.25 which is simplified by using the PEMDAS rule in the expression.

What is PEMDAS rule?

The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.

The given expression would be below as:

⇒ [(1 1/4−3/4)⋅(−2/3)3]÷(−4)

Using the PEMDAS rule in the above expression,

⇒ [(5/4−3/4)⋅(−2/3)3]÷(−4)

Apply the subtraction operation,

⇒ [(2/4)⋅(−6/3)]÷(−4)

Reduce the fractions, and we get

⇒ [(1/2)⋅(−2)]÷(−4)

Cancel out the terms of 2 to each other

⇒ (−1)÷(−4)

Cancel out the negative sign to each other

⇒ 1 / 4

Apply the division operation to get

⇒ 0.25

Therefore, the value of the given expression would be 0.25 which is evaluated.

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The mean number of accidents per month at a certain intersection is 1. a) What is the probability that in any given year at least 3 accidents (including 3 accidents) will occur at this intersection? [10 points] b) What’s the mean and variance for the number of accident for a given year? [10 points]

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

(1) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 4, mean =6 and cumulative = TRUE

P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149

(2) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 1, mean =6 and cumulative = TRUE

P(X \le 1) =POISSON(1,6,TRUE) = 0.0174

I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP WITH THIS ONE QUESTION

FACTOR THE FOLLOWING COMPLETELY:

Answers

a² - b² = (a+b)(a-b)
Where a = 4x^4 and b=y²
=(4x^4 +y²)(2x²+y)(2x² - y)

6.
Identify the axis of symmetry of the parabola.



A. y = 1

B. x = 1

C. y = −1

D. x = −1

Answers

Answer:

D. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?​

Answers

Answer:

He got 75% correct

Step-by-step explanation:

72/96 = 3/4 = 0.75

0.75 × 100 = 75%

4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year

Answers

Answer

B

Explanation

Mark Brainliest please

Given the following PARALLELOGRAM, find the measure of each angle below.

Answers

Answer:

m∠BEC = 65°

m∠DEC = 115°

m∠DAE = 78°

m∠ECD = 40°

m∠BAD = 118°

m∠ADC = 62°

Step-by-step explanation:

m∠BEC = 65°

Opposite angles formed by intersecting lines are congruent

m∠DEC = 180 - 65 = 115°

A straight line has a degree measure of 180

m∠DAE = 78°

Opposite interior angles of two parallel lines cut by a transversal are congruent

m∠ECD = 180 - [m∠DEC + 25] = 40°

Sum of angles inside triangle ECD has a measure of 180

m∠BAD = 78 + m∠ECD = 118°

Opposite angles of a parallelogram are congruent

2(m∠BAD) + 2(m∠ADC) = 360

118 + m∠ADC = 180

m∠ADC = 62°

Sum of angles inside a parallelogram = 360°

Enter values to write the function that matches the graph shown.

Answers

Answer:

Step-by-step explanation:

The curve crosses the x axis (has zeros) at -1 and -4

Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C

y = C(x + 1)(x + 4)

plug in the known y intercept

16 = C(0 + 1)(0 + 4)

16 = 4C

C = 4

as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16

22-2x when x = to -5

Answers

Answer:

5

Step-by-step explanation:

22-2x ... (equation-1)

(x=-5)

Substituting the value of x in equation 1

22-2(x-5)

20(x-5)

20x-100

20x=100

x=100/20

x=5

Hope it helps

Consider the following equation.

4x+5y=11
Step 1 of 2 : Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.

Answers

Slope = -1.600/2.000 = -0.800
x-intercept = 11/4 = 2.75000
y-intercept = 11/5 = 2.20000

Jace's average gross pay is $1,450.00 bi-weekly. Determine how many years it will take Jace to earn his first million dollars.

a
27 years

b
26 years

c
14 years

d
13 years


Please Help!!!

Answers

it will take him 27 years

60% of students at a high school participate in club activities. Rewrite this percent as a fraction in simplest form

Answers

Step-by-step explanation:

............no.................

A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

180

Step-by-step explanation:

all 3 angles of all triangles sum to 180

if one angle = 60, the other two angles sum to 120

a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120

3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees

5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees

45+75 = 120

120+60 = 180 degrees = sum of all 3 angles

in case you need an explanation and can I be get brainlest?

What percent of 80 is 84?

Answers

Answer: 105

Step-by-step explanation: if you are using a calculator, simply enter 84÷80×100 which will give you 105 as the answer.

What is the remainder of 2021^2022 divided by 337? 30 POINTS PLS HELP!!!!!!!!!!!!!!

Answers

Answer:

The remander is 1 hope that helps

Step-by-step explanation:

The remainder is 1 when the expression (2021)²⁰²² is divided by 337.

What is remainder?

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.

The given term is,

(2021)²⁰²²

To find the remainder when (2021)²⁰²² is divided by 337,

Firstly, divide 2021 from 337.

The remainder of 2021/337 is 336.

Or the remainder can be written in negative as -1.

So the remainder of (2021)²⁰²² when divided by 337,

(2021)²⁰²²/337 = (-1)²⁰²² = 1

The required remainder of (2021)²⁰²² when divided by 337 is 1.

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pwease help me with math question pwease

Answers

Answer:

3 1/10 and 1 3/5

Step-by-step explanation:

Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. 30 POINTS

Answers

The values of the central tendencies are as follows;

The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mean of Class 3 is 79.42

The median of Class 3 is 78

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

How to find the mean and median?

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = √((x - μ)²/σ)

Where:

x = number in the dataset

u = mean

n = total numbers in the dataset.

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

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Complete question is;

Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three

Algebra 1 courses and all the classes recently took a chapter exam.

Below are the scores.

Class 1

45

68

77

90

90

95

100

100

86

90

50

55

Class 2

64

65

70

40

100

87

84

88

90

90

95

80

Class 3

70

75

75

90

100

80

55

65

76

80

88

99

a. Find the mean, median, mode and range of Class 1.

b. Find the mean, median, mode and range of Class 2.

c. Find the mean, median, mode and range of Class 3.

d. Find the standard deviation of Class 1.

e. Find the standard deviation of Class 2.

f. Find the standard deviation of Class 3.

Answer:

Down below! Hope this helps! Mark me Brainly!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D.18.81

E.16.15

G.The class that had the higher standard deviation is class 1.

H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

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