if 2 (3x - 4 ) =5, then x =

Answers

Answer 1

Answer:

2.167 (rounded to the nearest hundredths).

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 2 from both sides of the equation:

(2(3x - 4))/2 = (5)/2

3x - 4 = 2.5

Next, isolate the variable, x. Add 4 to both sides of the equation:

3x - 4 (+4) = 2.5 (+4)

3x = 2.5 + 4

3x = 6.5

Then, divide 3 from both sides of the equation:

(3x)/3 = (6.5)/3

x = 6.5/3 = 2.167 (rounded).

~

Answer 2

Answer:

We have this equation

2*(3x-4) = 5

We can start solving the parentheses

2*(3x- 4) = 5

6x - 8 = 5

We can add 8 to both sides

6x - 8 + 8 = 5 + 8

6x = 13

And divide by 6

6x/6 = 13/6

x = 13/6


Related Questions

When P(x) is divided by (x - 1) and (x + 3), the remainders are 4 and 104 respectively. When P(x) is divided by x² - x + 1 the quotient is x² + x + 3 and the remainder is of the form ax + b. Find the remainder.

Answers

Answer:

The remainder is 3x - 4

Step-by-step explanation:

[Remember] [tex]\frac{Dividend}{Divisor} = Quotient + \frac{Remainder}{Divisor}[/tex]

So, [tex]Dividend = (Quotient)(Divisor) + Remainder[/tex]

In this case our dividend is always P(x).

Part 1

When the divisor is [tex](x - 1)[/tex], the remainder is [tex]4[/tex], so we can say [tex]P(x) = (Quotient)(x - 1) + 4[/tex]

In order to get rid of "Quotient" from our equation, we must multiply it by 0, so [tex](x - 1) = 0[/tex]

When solving for [tex]x[/tex], we get

[tex]x - 1 = 0\\x - 1 + 1 = 0 + 1\\x = 1[/tex]

When [tex]x = 1[/tex],

[tex]P(x) = (Quotient)(x - 1) + 4\\P(1) = (Quotient)(1 - 1) + 4\\P(1) = (Quotient)(0) + 4\\P(1) = 0 + 4\\P(1) = 4[/tex]

--------------------------------------------------------------------------------------------------------------

Part 2

When the divisor is [tex](x + 3)[/tex], the remainder is [tex]104[/tex], so we can say [tex]P(x) = (Quotient)(x + 3) + 104[/tex]

In order to get rid of "Quotient" from our equation, we must multiply it by 0, so [tex](x + 3) = 0[/tex]

When solving for [tex]x[/tex], we get

[tex]x + 3 = 0\\x + 3 - 3 = 0 - 3\\x = -3[/tex]

When [tex]x = -3[/tex],

[tex]P(x) = (Quotient)(x + 3) + 104\\P(-3) = (Quotient)(-3 + 3) + 104\\P(-3) = (Quotient)(0) + 104\\P(-3) = 0 + 104\\P(-3) = 104[/tex]

--------------------------------------------------------------------------------------------------------------

Part 3

When the divisor is [tex](x^2 - x + 1)[/tex], the quotient is [tex](x^2 + x + 3)[/tex], and the remainder is [tex](ax + b)[/tex], so we can say [tex]P(x) = (x^2 + x + 3)(x^2 - x + 1) + (ax + b)[/tex]

From Part 1, we know that [tex]P(1) = 4[/tex] , so we can substitute [tex]x = 1[/tex] and [tex]P(x) = 4[/tex] into [tex]P(x) = (x^2 + x + 3)(x^2 - x + 1) + (ax + b)[/tex]

When we do, we get:

[tex]4 = (1^2 + 1 + 3)(1^2 - 1 + 1) + a(1) + b\\4 = (1 + 1 + 3)(1 - 1 + 1) + a + b\\4 = (5)(1) + a + b\\4 = 5 + a + b\\4 - 5 = 5 - 5 + a + b\\-1 = a + b\\a + b = -1[/tex]

We will call [tex]a + b = -1[/tex] equation 1

From Part 2, we know that [tex]P(-3) = 104[/tex], so we can substitute [tex]x = -3[/tex] and [tex]P(x) = 104[/tex] into [tex]P(x) = (x^2 + x + 3)(x^2 - x + 1) + (ax + b)[/tex]

When we do, we get:

[tex]104 = ((-3)^2 + (-3) + 3)((-3)^2 - (-3) + 1) + a(-3) + b\\104 = (9 - 3 + 3)(9 + 3 + 1) - 3a + b\\104 = (9)(13) - 3a + b\\104 = 117 - 3a + b\\104 - 117 = 117 - 117 - 3a + b\\-13 = -3a + b\\(-13)(-1) = (-3a + b)(-1)\\13 = 3a - b\\3a - b = 13[/tex]

We will call [tex]3a - b = 13[/tex] equation 2

Now we can create a system of equations using equation 1 and equation 2

[tex]\left \{ {{a + b = -1} \atop {3a - b = 13}} \right.[/tex]

By adding both equations' right-hand sides together and both equations' left-hand sides together, we can eliminate [tex]b[/tex] and solve for [tex]a[/tex]

So equation 1 + equation 2:

[tex](a + b) + (3a - b) = -1 + 13\\a + b + 3a - b = -1 + 13\\a + 3a + b - b = -1 + 13\\4a = 12\\a = 3[/tex]

Now we can substitute [tex]a = 3[/tex] into either one of the equations, however, since equation 1 has less operations to deal with, we will use equation 1.

So substituting [tex]a = 3[/tex] into equation 1:

[tex]3 + b = -1\\3 - 3 + b = -1 - 3\\b = -4[/tex]

Now that we have both of the values for [tex]a[/tex] and [tex]b[/tex], we can substitute them into the expression for the remainder.

So substituting [tex]a = 3[/tex] and [tex]b = -4[/tex] into [tex]ax + b[/tex]:

[tex]ax + b\\= (3)x + (-4)\\= 3x - 4[/tex]

Therefore, the remainder is [tex]3x - 4[/tex].

write the following sets in the set builder form C={1,4,9,16,25}​

Answers

C={ check example in book}

add 7/8 + 2 3/24 + 6 1/6

Answers

Answer:

9 4/24 or 9 1/6

Find the LCM(lowest common multiple) of 8, 24 and 6.The LCM of 8, 24 and 6 is 24.We now want to turn all the denominators into 24 so we are going multiply 7/8 by 3 and 1/6 by 4. We won't need to turn the denominator of 3/24 into 24 because it's already 24Whatever you do to the denominator you have to do to the numerator, so you also have to multiply the numerator of 7/8 by 3 and the numerator of 1/6 by 4That now results in 21/8 + 2 3/24 + 6 4/24Now you have to add all the fractions together which is going to equal to 28/24Because 28/24 is more than the whole, subtract 28 from 24 which gives us 4. That 4 is now our new numeratorWe are now going to all the whole numbers 6+2+1=9. Incase you're wondering, the '1' came from the 28/24The answer you should get should be 9 4/24 or if it should be simplified it would be 9 1/6

A flashlight is projecting a triangle onto a wall, as shown below.
A picture shows a flashlight projecting a triangle onto a wall. The original triangle and its projection are similar. The original triangle has 2 sides labeled 15 and one side labeled 20. The projected triangle has two sides labeled 30 and one side labeled n. The triangles have congruent angles.
The original triangle and its projection are similar. What is the missing length n on the projection?

Answers

Answer:

Hence the correct option is 3rd option. 40

Step-by-step explanation:

If two figures are similar, then the ratio of the corresponding sides is proportional.

[tex]\frac{15}{30} =\frac{20}{n} \\\\n=\frac{30 \times 20}{15} \\\\n= 40.[/tex]

Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Which operation will solve the following word problem? Jaylene bought a blouse for $20.00. The next day she returned the blouse and got 90% of her money back, she was charged a restocking fee of 10%. How much money did she get back?


Division


Addition


Subtraction


Multiplication

Answers

Answer:

division is right i hope you understand

9514 1404 393

Answer:

  Multiplication

Step-by-step explanation:

The amount Jaylene got back is 90% of the amount she spent. That value is found by multiplying 90% times $20.

Jaylene got back ...

  90% × $20 = $18

Acellus
First, find the surface area of the yellow prism.
3 cm 3 cm
: ?
4 cm
3 cm
front: [?]
back: [ ]
right: [ ]
left: [ ]
3cm
3cm
4cm
top:[]
5 cm
TOTAL: [ ]
Note: The bottom will not be
included because this is whern
5 cm

Answers

Answer:

57 cm²

Step-by-step explanation:

Surface area of the yellow prism = front + back + right + left + top

✔️Area of the front = L * W

L = 4 cm

W = 3 cm

Area of the front = 4*3 = 12 cm²

✔️Area of the back = L * W

L = 4 cm

W = 3 cm

Area of the back = 4*3 = 12 cm²

✔️Area of the right face = L * W

L = 4 cm

W = 3 cm

Area of the right face = 4*3 = 12 cm²

✔️Area of the left face = L * W

L = 4 cm

W = 3 cm

Area of the left face = 4*3 = 12 cm²

✔️Area of the top = L * W

L = 3 cm

W = 3 cm

Area of the top = 3*3 = 9 cm²

✅Total = 12 + 12 + 12 + 12 + 9 = 57 cm²

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!

Answers

Step-by-step explanation:

[tex]g(x) = 3^{\frac{x}{2}}[/tex]

For [tex]x = -2[/tex], we get

[tex]g(-2) = 3^{\frac{-2}{2}} = 3^{-1} = \frac{1}{3}[/tex]

Will give brainliest answer

Answers

Answer:

A

Step-by-step explanation:

the proof of the answer is shown above

We roll a pair dice 10,000 times. Estimate the probability that the number of times we get snake eyes (two ones) is between 280 and 300.

Answers

Answer:

0.3573 = 35.7%

Step-by-step explanation:

We roll a pair of dice 10,000 times so the mean and standard deviation is,

μ  = 10000/36  =277.7          σ = [tex]\sqrt{10000*\frac{35}{36^{2} } } =16.4[/tex]

[tex]z_{1}[/tex] = (280 - 277.7)/16.4 = .14

[tex]z_{2}[/tex] = (300 - 277.7)/16.4 = 1.35

Probablity (range)  

0.3573  

Z(low)=0.14        0.555766357

Z(upper)=1.36        0.91304644

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer. What is the 99% confidence interval for the difference of the two proportions

Answers

Answer:

[tex]Z=-2.87[/tex]

Step-by-step explanation:

From the question we are told that:

Probability on women

[tex]P(W)=65 / 500[/tex]

[tex]P(W) = 0.13[/tex]

Probability on women

[tex]P(M)=133 / 700[/tex]

[tex]P(M) = 0.19[/tex]

Confidence Interval [tex]CI=99\%[/tex]

Generally the equation for momentum is mathematically given by

[tex]Z = \frac{( P(W) - P(M) )}{\sqrt{(\frac{ \sigma_1 * \sigma_2 }{(1/n1 + 1/n2)}}})[/tex]

Where

[tex]\sigma_1=(x_1+x_2)(n_1+n_2)[/tex]

[tex]\sigma_1=\frac{( 65 + 133 )}{ ( 500 + 700 )}[/tex]

[tex]\sigma_1=0.165[/tex]

And

[tex]\sigma_2=1 - \sigma = 0.835[/tex]

Therefore

[tex]Z = \frac{( 0.13 - 0.19)}{\sqrt{\frac{( 0.165 * 0.835}{ (500 + 700) )}}}[/tex]

[tex]Z=-2.87[/tex]

√x²+2√3 +3 =0
[tex] \sqrt{x^{2} + 2 \sqrt{3} + 3} = 0[/tex]
solve x

Answers

Square both sides:

x^2+2sqrt3+3=0

x^2=-2sqrt(3)-3

x=sqrt(2sqrt(3)+3)i

or

x=-sqrt(2sqrt(3)+3)i

What is the amount f rainfall that Miami receives, round to the nearest half or whole? 55 9/10"

Answers

Answer:

56"

Step-by-step explanation:

Frans paid R9600 as interest on a loan he took 5 years ago at 16% rate. What's was the amount he took as loan? Yeah

Answers

Answer:

5555 Lakh rupoes maybe hope it helps

The amount Frans took as loan = R12000

What is simple interest?

"It is the interest that is only calculated on the initial amount of the loan."

Formula for simple interest:

[tex]SI=\frac{P\times R\times T}{100}[/tex]

where, P: principal amount

T : period

R: rate of interest

For given question,

SI = 9600

T = 5 years

R = 16%

We need to find the principal amount.

Using simple interest formula,

[tex]\Rightarrow SI=\frac{P\times R\times T}{100}\\\\\Rightarrow P=\frac{SI\times 100}{R\times T}\\\\\Rightarrow P=\frac{9600\times 100}{5\times 16}\\\\\Rightarrow P=12000[/tex]

Therefore, the amount Frans took as loan = R12000

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Mrs Lee used 6 Meters of material to make 3 dresses. She used 4 ties as much material for a curtain as for a dress. How much material did she use for the curtain? (Dress)

Answers

Answer:

for each dress she used 6/3 of material

=2

then for a curtain =2x4=8 materials

Please Help NO LINKS

Answers

[tex]V = 864\pi[/tex]

Step-by-step explanation:

Since one of the boundaries is y = 0, we need to find the roots of the function [tex]f(x)=-2x^2+6x+36[/tex]. Using the quadratic equation, we get

[tex]x = \dfrac{-6 \pm \sqrt{36 - (4)(-2)(36)}}{-4}= -3,\:6[/tex]

But since the region is also bounded by [tex]x = 0[/tex], that means that our limits of integration are from [tex]x=0[/tex] (instead of -3) to [tex]x=6[/tex].

Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

[tex]\displaystyle V = \int f(x)2\pi xdx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6[/tex]

[tex]\:\:\:\:\:\:\:= 864\pi [/tex]

Chef Amy does beginning inventory on Thursday night and finds that she has $4697 in food products in the restaurant
Throughout the week she purchases:
$668 produce
$2206 meat
$2488 dry goods
$3755 dairy
The following Thursday she does ending inventory and finds that she has $3518 in food.
She looks at her sales and finds that she made $30658 over the same 7 day period.
What is her food cost as a percentage of sales (her food cost percentage)? Please input your answer as a percentage (30%), instead of a decimal (0.3).

Answers

Answer:

Her food cost as a percentage of sales is 33.58%.

Step-by-step explanation:

Since Chef Amy does beginning inventory on Thursday night and finds that she has $ 4697 in food products in the restaurant, and throughout the week she purchases:

$ 668 produces

$ 2206 meat

$ 2488 dry goods

$ 3755 dairy

The following Thursday she does ending inventory and finds that she has $ 3518 in food.

She looks at her sales de ella and finds that she made $ 30658 over the same 7 day period.

To determine what her food cost is as a percentage of sales (her food cost percentage), the following calculation must be performed:

4,697 + 668 + 2,206 + 2,488 + 3,755 = 13,814

13,814 - 3,518 = 10,296

30,658 = 100

10,296 = X

10,296 x 100 / 30,658 = X

1,029,600 / 30,658 = X

33.58 = X

Therefore, her food cost as a percentage of sales is 33.58%.

Plz help I’ll mark you

Answers

Answer:

The option B, c2=a2+b2−2ab• cos(B) is the right answer.

PLEASE HELP ASAP!!! I don’t know how to do this problem or where to start! How do I solve this?

Answers

Answer:

W = 4.95

Step-by-step explanation:

You want to start by writing down what you know, and forming a system of equations.

L= length W= width

2L+2W=14.7    

L= 2.4

On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)

You would then substitute L from the bottom equation into the top equation to get:

2(2.4) +2W=14.7

Solving:

4.8+2w=14.7

W= 4.95

To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.

What is the median of the following set of values? 7, 21, 19, 15, 19, 14, 15, 19

Answers

Line them up in order first.
7, 14, 15, 15, 19, 19, 19, 21
The median is 15 and 19. OR 17, because 15+19=34/2 which equals 17.

The median of the following set of values is equals to 17.

What are median?

Median represents the middle value of the given data when arranged in a particular order. The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

We are given that the median of the following set of values

7, 21, 19, 15, 19, 14, 15, 19

Line them up in order first.

7, 14, 15, 15, 19, 19, 19, 21

Here the middle value are 15 and 19.

The median is 15 and 19. OR 17,

Therefore, 15 + 19 = 34/2 which equals to 17.

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work out the area of this shape

Answers

Answer:

1000

Step-by-step explanation:

Which of the following rational functions is graphed below?

Answers

Answer:

the answer is d

Step-by-step explanation:

because when we put-1 from x the equation hasn't any value

A law firm offers some services “pro bono”, which means that they work for clients free of charge. The legal firm accepted 2% of its cases pro bono last year. What is the total of cases they completed if they accepted 252 pro bono cases?

Answers

Answer:

ok so we have to find 2% or 252 so

252*0.02=5.04

So they completed 5 cases this year

Hope This Helps!!!

5.04 cases a year, Its 5 cases a year

A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10 m/s and the remainder at 50 m/s. How far does she travel at each speed. solve by forming simultaneous equation

Answers

Answer:

150 m at 10 m/s

350 m at 50 m/s

Step-by-step explanation:

x + y = 500

x/10 + y/50 = 22

~~~~~~~~~~~~~~~~~

x + y = 500

5x  + y  = 1100

~~~~~~~~~~~~~~~~

x + y = 500

-5x  - y  = -1100

-4x = -600

x = 150

y = 350

team A ships 6 times as many as team B and one third as many as team C. if team C ships 287450 packages, how many packages does team B ships?

Answers

Answer:

95816.666667

explained

1÷3*287450

Identify the domain of the table of values shown

Answers

Answer:

{-6,0,2,4}

Step-by-step explanation:

Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales?

Answers

The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

Temperature

Temperature is the measure of the degree of hotness or coldness of a substance or place. It is usually expressed Fahrenheit and Celsius scale. Temperature indicates the direction of heat flow.

The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

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Previous Question Question 17 of 20 Next Question Based on the regression model, the expected daily production volume with 112 factory workers is 118,846 units. The human resource department noted that 123,415 units were produced on the most recent day on which there were 112 factory workers. What is the residual of this data point

Answers

Answer:

4,569 units

Step-by-step explanation:

Given :

Measured value = 123,415 units

Expected value = 118,846 units

Residual is the difference between the measured and expected value :

Residual = Measured value - Expected value

Residual = 123,415 units - 118,846 units

Residual = 4,569 units

A film distribution manager calculates that 5% of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 572 released films would be greater than 6%

Answers

Answer:

0.1357 = 13.57% probability that the proportion of flops in a sample of 572 released films would be greater than 6%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

A film distribution manager calculates that 5% of the films released are flops.

This means that [tex]p = 0.05[/tex]

Sample of 572

This means that [tex]n = 572[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.05[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{572}} = 0.0091[/tex]

What is the probability that the proportion of flops in a sample of 572 released films would be greater than 6%?

1 subtracted by the p-value of Z when X = 0.06. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.06 - 0.05}{0.0091}[/tex]

[tex]Z = 1.1[/tex]

[tex]Z = 1.1[/tex] has a p-value of 0.8643

1 - 0.8643 = 0.1357

0.1357 = 13.57% probability that the proportion of flops in a sample of 572 released films would be greater than 6%

Negating conditional statement (a V ~ b) => c

Please show your work and give a proper answer

Answers

"p implies q" is equivalent to "(p and q) or not p", which in turn is equivalent to "(p or not p) and (q or not p)". But "p or not p" is always true, so the implication reduces completely to "not p or q". Negating an implication thus gives "not (not p or q)", which is equivalent to "p and not q".

So

not [(a or not b) implies c]   <==>  (a or not b) and not c

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