5(2x–1)=8x+1 please solve it asap

Answer:

x=-5

Step-by-step explanation:Step 1: Simplify both sides of the equation.

8x−5(4x+3)−(3−2x)=4−4(2x−3)−(9−3x)

8x−5(4x+3)+−1(3−2x)=4−4(2x−3)+−1(9−3x)(Distribute the Negative Sign)

8x+−5(4x+3)+(−1)(3)+−1(−2x)=4+−4(2x−3)+(−1)(9)+−1(−3x)

8x+−5(4x+3)+−3+2x=4+−4(2x−3)+−9+3x

8x+(−5)(4x)+(−5)(3)+−3+2x=4+(−4)(2x)+(−4)(−3)+−9+3x(Distribute)

8x+−20x+−15+−3+2x=4+−8x+12+−9+3x

(8x+−20x+2x)+(−15+−3)=(−8x+3x)+(4+12+−9)(Combine Like Terms)

−10x+−18=−5x+7

−10x−18=−5x+7

Step 2: Add 5x to both sides.

−10x−18+5x=−5x+7+5x

−5x−18=7

Step 3: Add 18 to both sides.

−5x−18+18=7+18

−5x=25

Step 4: Divide both sides by -5.

−5x −5 = 25 −5

x=−5

Answer:

y=12x+51

Step-by-step explanation:

a) The probability that a student is a female or spends less than 10 hours studying is 0.683.

b) The probability that a student is male and spends less than 5 hours studying is 0.183.

c) The probability that a student spends more than 10 hours studying given that the student is a male is 0.255.

a) The probability that a student is female or spends less than 10 hours studying can be calculated using the formula:

P(Female or <10 hours) = P(Female) + P(<10 hours) - P(Female and <10 hours)

We have the following probabilities:P(Female) = 80/150 = 0.53P(<10 hours) = 44/150 = 0.293

P(Female and <10 hours) = 21/150 = 0.14

Substituting the values in the formula:P(Female or <10 hours) = 0.53 + 0.293 - 0.14 = 0.683

So, the probability that a student is a female or spends less than 10 hours studying is 0.683.

b) The probability that a student is male and spends less than 5 hours studying can be calculated using the formula:P(Male and <5 hours) = P(Male) × P(<5 hours|Male)

We have the following probabilities:

P(Male) = 70/150 = 0.47P(<5 hours|Male) = 27/70 = 0.39

Substituting the values in the formula:P(Male and <5 hours) = 0.47 × 0.39 = 0.183

So, the probability that a student is male and spends less than 5 hours studying is 0.183.

c) The probability that a student spends more than 10 hours studying given that the student is male can be calculated using the formula:

P(More than 10 hours|Male) = P(More than 10 hours and Male) / P(Male)

We have the following probabilities:P(More than 10 hours and Male) = 18/150 = 0.12P(Male) = 70/150 = 0.47

Substituting the values in the formula:P(More than 10 hours|Male) = 0.12 / 0.47 ≈ 0.255

So, the probability that a student spends more than 10 hours studying given that the student is a male is approximately 0.255.

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The probability that Amahle randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects an oatmeal cookie is 0.0068, rounded to 4 decimal places.

The probability that Amahle randomly selects a chocolate chip cookie and then an oatmeal cookie from a bag containing 7 chocolate chip cookies, 7 peanut butter cookies, 9 sugar cookies, and 8 oatmeal cookies can be calculated using the formula for conditional probability:

P(Oatmeal | Chocolate chip) = P(Chocolate chip and Oatmeal) / P(Chocolate chip)

The probability of selecting a chocolate chip cookie from the bag is 7/31, since there are 7 chocolate chip cookies in a bag of 31 total cookies. After Amahle selects and eats a chocolate chip cookie, there are 6 chocolate chip cookies and 30 total cookies remaining in the bag.

The probability of selecting an oatmeal cookie from the remaining cookies in the bag is 8/30, since there are 8 oatmeal cookies and 30 total cookies remaining.

Therefore, the probability of selecting a chocolate chip cookie and then an oatmeal cookie is:

P(Chocolate chip and Oatmeal) = (7/31) * (8/30) = 0.00678 (rounded to 4 decimal places)

The probability of selecting a chocolate chip cookie is 7/31, as mentioned earlier. Therefore, the probability of selecting an oatmeal cookie given that a chocolate chip cookie has been selected is:

P(Oatmeal | Chocolate chip) = (7/31) * (8/30) / (7/31) = 8/210 = 0.0381 (rounded to 4 decimal places)

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Answer:

90

Step-by-step explanation:

First, let's make a line of separation to make a rectangle and triangle.

Now, we know the area of a rectangle is l × w, where l = length and w = width. The length and width of this rectangle is is 8 and 9, so 8 × 9 = 72.

Next, the area of a triangle is bh ÷ 2, where b = base and h = height. We're given the base of the triangle as 9 m. To find the height, we subtract 8 from 12 and get 4. 9 multiplied by 4 is 36, and 36 divided by 2 is 18.

Lastly, we combine the area of the rectangle and triangle. 72 + 18 = 90.

Therefore, the answer is 90 m^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Using probability,

a) 61/100

b) 61/210

c) 305/536

The probability formula can be used to calculate the likelihood of an event by simply dividing the favourable number of possibilities by the total number of options.

The likelihood of an event occurring can range from 0 to 1, as there can never be more favourable outcomes than there are potential outcomes. Because of this, the percentage of effective outcomes cannot be 0.

Here in the question,

It has asked to find probability that a randomly selected person did not have a child under 18 years old, given that they said no is:

P = 305/500

= 61/100

It is asked to find probability that a randomly selected person said No, given that the person did not have a child under 18 years old is:

P = 305/1050

= 61/210

It is asked to find probability that a randomly selected person from the group did not have a child under 18 years old and said no is:

P = 305/536

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Answer:

The retail value of one bag of one bag of a synthetic hair bundle is $47 and the retail value of a bag of natural hair bundle is $38

Step-by-step explanation:

The given information are;

The number of bags of synthetic hair bundles the owner buys = 700

The number of bags of natural hair bundles the owner buys = 400

The number of synthetic hair bundles the Forestville location receives = 300

The number of natural hair bundles the Forestville location receives = 250

The total retail value of the hair bundles the Forestville location receives = $23,600

The number of synthetic hair bundles the Largo location receives = 400

The number of natural hair bundles the Forestville location receives = 150

The total retail value of the hair bundles the Largo location receives = $24,500

Let the price of a bag of synthetic hair bundle = x

Let the price of a bag of natural hair bundle = y

∴ 300·x + 250·y = $23,600...(1)

400·x + 150·y = $24,500...(2)

Making y the subject of the formula in both equations gives;

For equation (1)

y = 23,600/250 - 300/250·x = 94.4 - 1.2·x

y = 94.4 - 1.2·x

For equation (2)

400·x + 150·y = 24,500

y = 24,500/150 - 400/150·x = 490/3 - 8/3·x

y = 490/3 - 8/3·x

Finding the common solution gives;

490/3 - 8/3·x = 94.4 - 1.2·x

490/3 - 94.4 = 8/3·x  - 1.2·x

1034/15 = 22/15·x

x = 1034/15/(22/15) = 47

x = 47

∴ The price of a bag of synthetic hair bundle = x = $47

The price of a bag of synthetic hair bundle = $47

y = 490/3 - 8/3·x = 490/3 - 8/3 × 47 = 38

y = 38

The price of a bag of natural hair bundle = y = $38

The price of a bag of natural hair bundle = $38.

Therefore, the retail value of one bag of one bag of a synthetic hair bundle is $47 and the retail value of a bag of natural hair bundle is $38.

The inverse function of f(x) = \(b^x\) is g(x) = log_b(x), where log_b denotes the logarithm with base b. Therefore, g(x) is the inverse function of f(x) = \(b^x.\)

The inverse function of an exponential function f(x) =\(b^x\) is a logarithmic function g(x) = log_b(x), where the base of the logarithm matches the base of the original exponential function.

To find the inverse function, we switch the roles of x and y in the original function and solve for y. So, for f(x) = \(b^x\), we rewrite it as x = \(b^y\) and solve for y. Taking the logarithm of both sides with base b, we get log_b(x) = y, which can be written as g(x) = log_b(x).

The inverse function undoes the effect of the original function. In this case, the exponential function f(x) = \(b^x\) raises the base b to the power of x, while the inverse function g(x) = log_b(x) "undoes" the exponentiation by taking the logarithm base b of x, resulting in the original input value x. Therefore, g(x) is the inverse function of f(x) = \(b^x.\)

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Find the inverse function of f(x) = \(b^x\)

The expression 680,000/1,000 is a division problem that can be simplified by dividing the numerator (680,000) by the denominator (1,000).

To do this, we first need to understand what division means. Division is the process of dividing a number into equal parts or groups. In this case, we are dividing 680,000 into groups of 1,000.

To divide 680,000 by 1,000, we can divide the first digit (6) by 1,000 to get 680, and then move the decimal point three places to the left to get the final answer of 680.

So, 680,000 divided by 1,000 is equal to 680.

This calculation can be useful in various situations. For example, if we are converting a large number of units into smaller units, we can use division to simplify the process. In this case, we are converting 680,000 grams to kilograms, since there are 1,000 grams in a kilogram. We can divide 680,000 by 1,000 to get 680 kilograms.

In the future, we may encounter more complex division problems that involve larger numbers or different units of measurement. However, the basic concept of division remains the same: dividing a number into equal parts or groups.

The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

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complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

To find the expected winnings from flipping this coin, we need to calculate the weighted average of the possible outcomes.

Let's assign the following values:
- Probability of getting heads: P(H) = h
- Probability of getting tails: P(T) = t
- Probability of landing on its edge: P(E) = e

The amount won for each outcome is as follows:
- If heads, you win $1
- If tails, you win $3
- If edge, you lose $5

To calculate the expected winnings, we multiply the amount won by the respective probabilities for each outcome and sum them up:

Expected winnings = P(H) * ($1) + P(T) * ($3) + P(E) * (-$5)

Let's substitute the given probabilities:
Expected winnings = h * ($1) + t * ($3) + e * (-$5)

The sum of probabilities must equal 1, so we have:
h + t + e = 1

We can solve this system of equations to find the values of h, t, and e.
Since the question does not provide values for h, t, and e, we cannot determine the expected winnings.

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Answer:

117649

Step-by-step explanation:

hope this helps :)

Answer:

117649

Step-by-step explanation:

Answer:

identity property of addition.

Step-by-step explanation:

basically it means any number plus zero is equal to the original number

x+0=x

Answer:

The answer will be number 1, idenity property of addition (:

Step-by-step explanation:

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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Answer:

b

Step-by-step explanation:

Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

\(V=\frac{4}{3} \pi r^3\) where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

\(V=\frac{4}{3} \pi r^3\)

\(32398=\frac{4}{3} \pi r^3\)

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

\(\frac{32398}{\frac{4}{3}\pi } =r^3\)

We can get rid of the exponent by square rooting by 3.

\(\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r\)

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

\( \: \: \: \: \: \: \: \)

Answer:

find by using formula that 1/2×base×height

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Answer:

the answer is A 1390

Answer:

 1331π cm³

Explanation:

\(\sf V_{cylinder} = \pi (radius)^2 (height)\)

Here given:

Hence find volume:

\(\sf \rightarrow\pi (11)^2 (11)\)

\(\sf \rightarrow 121\pi ( (11)\)

\(\sf \rightarrow 1331\pi \quad \approx \:\:\ 4181.46 \ cm^3\)

Let's denote the width of the rectangle as w. According to the given information, we can set up the following equations:

The length of the rectangle is less than twice the width:

Length < 2 * Width

The area of the rectangle is 65 square yards:

Length * Width = 65

Given that the length of the rectangle is 3 yards, we can substitute this value into the equations:

Therefore, the width of the rectangle is greater than 3/2 yards (approximately 1.5 yards), and the width is approximately 21.67 yards.

To find the length, we can substitute the width into equation 2:

Length = 65 / Width

Length ≈ 65 / 21.67

Length ≈ 3 yards

So, the dimensions of the rectangle are approximately 3 yards in length and 21.67 yards in width.

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Therefore , the solution of the given problem of function comes out to be even though the two functions' maximum numbers are different, their final behavior is the same.

On the midterm exam, there will be inquiries about design, mathematics, each topic, and both actual and hypothetical locations. a summary of the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Each post also has a particular location, that could be the enclave, an area, or even something completely different.

Here,

When x = 2, the maximum value of function f is 6, and

when x = -2, the highest value of function g is 3.

Both functions result in the same action in the end.

Both functions move closer to positive infinity as x gets closer to positive or negative infinity.

This is due to the positive quadratic component that dominates the behavior of the leading term in both functions as x increases in magnitude.

As a result, even though the two functions' maximum numbers are different, their final behavior is the same.

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The numeric value of the expression 1/α + 1/β is given as follows:

-3/7.

The quadratic function in this problem is given as follows:

4x² + 3x + 7 = 0.

The coefficients of the quadratic function are given as follows:

a = 4, b = 3, c = 7.

The sum of the roots is given as follows:

α + β = -b/a.

Hence:

α + β = -3/4

The product of the roots is given as follows

αβ = c/a

Hence:

αβ =7/4.

These values are used to obtain the numeric value of the expression, as follows:

1/α + 1/β = (α + β)/αβ = (-3/4)/(7/4) = -3/7.

(the least common multiple of α and β is αβ, and then the least common factor is used to solve the expression).

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Answer:

I think that ans is A.....

Answer:

The second one (answer of 3), but the other ones could've worked, they were just calculated wrong.

Step-by-step explanation:

Here's why each one did or didn't work:

First answer- you had the right idea by cancelling out the two in the denominator, however if you're going to divide 2, you have to divide it from everything in the equation. Meaning you would divide 4 by 2 to get 2, and then add the 1 + 2 to get final answer 3.

Second answer- since you added the numerator separately and then did the basic division, this worked.

Third one- similarly to the first one, you would have to also divide the 2 by 2 to get 1, then adding 1 + 2 to get 3.

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

Therefore, Forrest's utility will be 10 when he consumes 10 peas and 10 carrots with $5 to spend at $0.50 per unit for both peas and carrots.

Given that Forrest always eats peas (P) and carrots (C) in the same ratio and his utility function is U = min(P, 4C), we can determine the quantities of peas and carrots he will consume and his utility when he has $5 to spend with both prices at $0.50. Let's denote the quantity of peas as x and the quantity of carrots as y.

Since Forrest consumes peas and carrots in the same ratio, we have x/y = 1.

Given that the price of both peas and carrots is $0.50, the total amount spent on peas and carrots can be expressed as: 0.50x + 0.50y = $5. Since x/y = 1, we can rewrite the equation as 0.50x + 0.50(x) = $5. Simplifying the equation, we get 1x = $5, which implies x = $5. Substituting this value back into the equation, we find 0.50($5) + 0.50y = $5.

Simplifying further, we have 2.50 + 0.50y = $5.

Subtracting 2.50 from both sides, we obtain 0.50y = $2.50. Dividing both sides by 0.50, we find y = $5. So, Forrest will consume 10 peas and 10 carrots since he always eats them in the same ratio. To calculate his utility, we can substitute the values into the utility function:

U = min(P, 4C) = min(10, 4 * 10) = min(10, 40) = 10.

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The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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