25 points for answer

Answer:

x=48

Step-by-step explanation:

Substitute y for 0 (0=1/4x - 12)

Multiply both sides of the equation by 4 (0= x-48)

subtract x from both sides  (-x = -48)

Change the signs (x=48)

The solution of y=(1/4)x-12 for x will be x = 4y + 48.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Expression is an equation in which multiplication, division, and summation of all terms are present.

For example 2x + 8t = 0 is a expresion where x and t are variables 2,8 and 0 are constant.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

y = (1/4)x - 12

Taking the lowest common multiple right-hand sides

y = (x - 48)4

By cross multiplication

4y = x - 48

By taking 48 into the left-hand side

x = 4y + 48

Hence the solution of expression y=(1/4) x - 12  for x will be x = 4y + 48.

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Answer:

Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer:

a = -10

Step-by-step explanation:

33 - 4a = 73

To get a by itself, you must move 33 to the other side. To this, you must subtract it from both sides, canceling it out on the left side.

You will be left with: -4a = 73-33

Subtract 73 and 33, which will get you 40.

Now the equation is -4a = 40

To get a by itself, divide -4 into both sides. Doing this will isolate a.

The equation you will have after that is a = 40/-4.

Divide 40 by -4, which will get you -10.

Therefore, a = -10.

Answer:

just calculate it you can just answer it with a calculator

Area of the painting = ⅙ square yards

Width = ⅔ yards

According to the question,

\(a = l \times w\)

\( \frac{1}{6} = l \times \frac{2}{3} \)

\( \frac{1}{6} = \frac{2}{3} l\)

\( \frac{1}{6} \div \frac{2}{3} = l\)

\( \frac{1}{6} \times \frac{3}{2} = l\)

\( \frac{1}{2} \times \frac{1}{2} = l\)

\( \frac{1}{4} = l\)

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Question:

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' =97.47, y' =97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.

Answer:

y^ = 104.21

Step-by-step explanation:

Given:

n = 20

x' = 97.47

y' = 97.35

r = 0.892

P-value = 0.000

y^ = -9.15 + 1.09x

Here, the wife has an IQ of 104.

The regression equation here is given as:

y^ = -9.15 + 1.09x

Let x represent the IQ of the wife.

x = 104

Hence, the best predicted value of y^ will be:

Let's substitute 104 for x in tge regression equation.

y^ = -9.15 + 1.09(104)

y^ = - 9.15 + 113.36

y^ = 104.21

Therefore, the best predicted value of y^ = 104.21

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer: Its b  

Step-by-step explanalson

becaues x always equals 7 in a factor

:)

Answer:

it is the second answer.

The  missing puzzle statement are

c, -8/3, -3c and 8.

We have the Expression as

- (3c + 8)

Now, we have break the given expression as

              c         -8/3

-3     -3 x c      -3 x -8/3

          -3c            8

Thus, the missing puzzle statement are

c, -8/3, -3c and 8.

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In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).

A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).

In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

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\( \qquad \quad \large {\pmb{ \frak { \mid {\overline{ \underline{\purple{ \bigstar \: Required \: Answer \: \bigstar}}}}}} \mid}\\\)

According to the attachment, we are given –

\(\qquad\) \(\purple{{\twoheadrightarrow {\pmb{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}}}\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cylinder)} = 3 \times {6}^2\times 6\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cylinder)} = 3 \times 36\times 6\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cylinder)} =18\times 36\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cylinder)} =648 \: cm^3\\\\\)

\(\therefore{\underline{\textsf{ Volume of cylinder is \textbf{648 cm³}}}} \)

_______________________________________________

Answer:

The volume of cylinder is 648 cm³.

Step-by-step explanation:

Here's the required formula to find the volume of cylinder :

\( \longrightarrow{\pmb{\sf{V = \pi{r}^{2} h}}}\)

Substituting all the given values in the formula to find the volume of cylinder :

\(\begin{gathered} \qquad{\longrightarrow{\sf{V = \pi{r}^{2}h}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(6)}^{2}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(6 \times 6)}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(36)}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3\times 36 \times 6}}}\\\\ \qquad{\longrightarrow{\sf{V = 108 \times 6}}}\\\\ \qquad{\longrightarrow{\sf{\red{\underline{\underline{V \approx 648 \: {cm}^{3}}}}}}} \end{gathered}\)

Hence, the volume of cylinder is 648 cm³.

\(\rule{300}{2.5}\)

Answer:

how to understand the problem is picture the shape as a house and try to figure out what to do next

Step-by-step explanation:

Amy's forth  account is the most over drawn of all the four accounts

What is the total balance of all accounts?

The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted

Total balance=$250-$45+$100+$x

The total balance=$130

the balance in the forth account=$x

Let us substitute $130 for the total balance

$130==$250-$45+$100+$x

$130=$305+$x

$x=$130-$305

$x=-$175

The fact that the forth account has  a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer: Evaluate the Function, right?

Hello!

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

A) 4x = -4 [x=-1] =

4x = -4 =

x = -1 = x = -1

( The steps : Substitute the given value into the function and evaluate.)

B) 2(x-3) =-12 [x=3] =

2 ( x - 3) = -12 = x = -3

x = 3 = x = 3

( The steps : Substitute the given value into the function and evaluate.)

C) 8x - 4x = 24 [x = 1/2] =

8x - 4x = 24 = x = 6

x = 1/2 = x = 1/2

( The steps : Substitute the given value into the function and evaluate.)

D) 9x - 4x = 24 [x=18] =

9x - 4x = 24 = x = 24/5

x = 18 = x = 18

( The steps : Substitute the given value into the function and evaluate.)

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

Step-by-step explanation: All the steps are the same. Substitute the given value into the function and evaluate.

Hope this helped you!

Answer:

84.78 inches cubed  - hope this helped :)

Step-by-step explanation:

formula - πr^2\(\frac{h}{3}\)

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

Answer:

84.78 inches cubed

Step-by-step explanation:

You need to comprehend the volume formula for cones

Volume Formula for Cones: V=1/3hπr²

Your measurements:

9 inches for height

3 inches for radius

**Radius is half of a circle and diameter is full of the circle/base.***

Equation:V=1/3 x 9in x π x 3²

You should do 3 squared first so that you can input it into your calculator easily.

V=1/3 x 9in x π x 9

Now on a calculator do 1 divided by 3 which is the "1/3" in the formula.

Then multiply 9, 3.14 for pi, and 9 for radius.

Note: You should do 3.14 for pi not the whole pi symbol on the calculator.

Your answer: 84.78 in cubed

Answer:

4 times its width

Step-by-step explanation:

sagot mona to

The slope-intercept form of the line equation is

where, m is the slope and b the y-intercept. Replacing the values you are given we have the line

Answer:

x + 5y ≤ 30

Step-by-step explanation:

The quotient of A = - 210 and B = - 15 is 14.

The Euclid's Division Lemma says when a number 'a' is divided by a number 'b' gives the quotient to be 'q' and the remainder to be 'r' then the following relation -> a = bq + r exists, where 0 ≤ r < b.

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

Given two numbers A = - 210 and B = - 15

The resultant quotient when A is divided by B can be calculated using Euclid's division lemma. Initially, we will assume remainder [r] = 0.

If the quotient is in decimals, we will change the remainder according to it else if the quotient is a whole number, the remainder will remain 0.

Using Euclid's division lemma -

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

- 210 = - 15 x q + 0

- 210 = - 15 x q

q = - 210 / - 15 = 14

Since, the quotient is a whole number, the remainder will remain zero.

Therefore, the quotient of A = - 210 and B = - 15 is 14.

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The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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The statements which contain quantitative information among the answer choices are;

It follows from the task content that the statements which contain quantitative information be identified.

Since quantitative information can be characterized by putting a value(usually numeric) to a measure, the statements which contain quantitative information are;

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Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Answer:

b = 59

Step-by-step explanation:

Angle b and 59 are vertical angles and vertical angles are equal

b = 59

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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