Question 9 of 10
Solve 20x + 12 = 14x + 30.
O A. X23
O B. X27
O c. xs7
O D. xs3
SUBMIT

Answer:

5

Step-by-step explanation:

If you multiply each side by 5 to get 42:30 then subtract 42 by 30, 12 is leftover.

Answer:

The numbers should be 42 and 30

Step-by-step explanation:

Okay, so the equation should be:

7x - 5x = 12

2x = 12

x = 6

and find the numbers:

7 x 6 = 42

5 x 6 = 30

Answer: 19.11

Step-by-step explanation:

Since there are 2 books, multiply 6.5kg by 2.

6.5 x 2 = 13kg

Then, turn kg into Newtons.

F=MG

13x9.8=127.4 N

Then, you multiply that by μ
F=Nμ
127.4x0.15=19.11

The number line has been plotted in the attachment

A number line is a visual representation of numbers placed in a straight line. It is a tool used in mathematics to illustrate the concept of magnitude and order of numbers. The line is usually drawn horizontally, with zero placed in the middle and positive numbers to the right and negative numbers to the left.

The distance between the numbers on the line represents their magnitude or difference. Number lines are commonly used to teach students about basic arithmetic, fractions, decimals, and other mathematical concepts.

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The number of tanks that she will use in one year is 132  tanks

The quantity of gas she uses in first week = 3.5 tanks

The quantity of gas  she uses in second week = 2.5 tanks

The quantity of gas she uses in third week = 1.5 tanks

The quantity of gas she uses in fourth week = 3.5 tanks

Total quantity of gas she uses in one month = 3.5+2.5+1.5+3.5

= 11 tanks

Number of months in one year = 12 months

Multiply the quantity of gas in one month and number of months

Total quantity of gas she uses in one year = 11×12

= 132 tanks

Hence, the number tanks that she will use in one year is 132 tanks

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Answer:

460

Step-by-step explanation:

138+138+92+92=460

Answer:

True

Step-by-step explanation:

Hard to explain in writing

Jerome deposits $3,700 in a certificate of deposit that paya on Interest, compounded

annually. How much interest does Jerome earn in 1 year? (

Answer:

13ft

Step-by-step explanation:

Kindly find attached a rough draft of the situation.

Step one:

Given data

The length of the slide represents the

Hypotenuse of the situation on the rough sketch

Angle =33°

Required

The height of the ladder which is the adjacent of the rough sketch represented by x

Step two:

Applying SOH CAH TOA

Cos θ= adj/hyp

Cos 33=x/15

0.84=x/15

Cross multiplying

x=0.84*15

x=12.6

To the nearest foot the ladder is 13ft tall

Step-by-step explanation:

1.22+0.34

= 1.56

Hope it will help :)

Answer:

= 1.56

Step-by-step explanation:

1.22 + 0.34 = ?

00.2 + 0.04 = 0.06

0.2 + 0.3 = 0.5

1 + 0 = 1

1 + 0.5 + 0.06 = 1.56

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

\((-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\\)

We summarize (1) and (3):

\(2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.\)

Substitute b=-1 into (2):

\(9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\\)

From (5) subtract (4):

\(8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\\)

Substitute a=0,5 into (4):

\(0,5+c=-1\\c=-1,5.\)

Hense:

y=0,5x²-x-1,5.

To dilate a point S by a scale factor of 1/2, we need to multiply the coordinates of the point by the scale factor.So the dilated point S' will have coordinates (2, 3).

A scale factor is a number that scales or multiplies another quantity by a certain amount, either making it larger or smaller. In geometry, scale factor is used to describe the ratio of the corresponding side lengths of two similar figures.

If the coordinates of point S are (x,y), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * x, 1/2 * y)

In other words, the x-coordinate of the dilated point is half of the x-coordinate of the original point, and the y-coordinate of the dilated point is half of the y-coordinate of the original point.

For example, if point S has coordinates (4, 6), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * 4, 1/2 * 6) = (2, 3)

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Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

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Answer:

y = 5x + 7

Step-by-step explanation:

I am guessing, but you are leaving something out.

y = the total cost.

x = the number of shirts.

Answer:

The total cost for the 7 shirts including tax is 7n + 6

Step-by-step explanation:

We want to find the Cost of 7 t-shirts and $6 tax.

Now, the let the cost of the 7 shirts be n. Thus, we can now say that cost of 7 shirts is 7n.

Now, since there is an additional cost of $6 for tax, we can now say that the total cost for the 7 shirts including tax is expressed as;

7n + 6

Thus, we conclude that the total cost for the 7 shirts including tax is 7n + 6

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

it is not possible to determine the molecular formula of the compound based solely on its molecular weight of 64.07 g/mol.

To determine the molecular formula of a compound, we need to know its molecular weight and the atomic weights of its constituent elements.

Given that the molecular weight of the compound is 64.07 g/mol, we'll need to identify the elements present and their respective atomic weights.

To find the molecular formula, we'll divide the molecular weight by the atomic weight of each element in the compound. This will give us the ratio of atoms of each element present in the compound.

Since we don't have information about the specific elements in the compound, we cannot determine the molecular formula with certainty. The molecular weight alone does not provide enough information to determine the elements and their respective ratios in the compound.

In order to determine the molecular formula, we would need additional information, such as the percent composition of the compound or its structural formula.

Therefore, without further information, it is not possible to determine the molecular formula of the compound based solely on its molecular weight of 64.07 g/mol.

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Answer: 2x-12y

Step-by-step explanation:

eayes

Answer: 2x, −4y, and 8

Step-by-step explanation:

      A term in mathematics is a single expression. In this case, the expressions are;

     2x, -4y, and 8

      The positive or negative sign stays with the mathematical term. We usually do not write a sign for when it is positive, so we end up with 2x, -4y, and 8.

Answer:

Step-by-step explanation:

26/3=13^1

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

Answer:

The answer is one solution

Step-by-step explanation:

1)2(b+3)-17 = 3b-7+b

2)2b+6-17 = 4b-7

3)2b-11 = 4b-7

4)-11+7 = 4b-2b

5)-4 = 2b

6)2b = -4

7)b = -4/2

Final your answer is b = -2

Answer:

B. X⁴+2X²+2

Step-by-step explanation:

If f(x) = x²+1, we are to find ff(x)

F(f(x)) = f(x²+1)

to get f(x²+1), we will have to substitute x as x²+1 in the function f(x) as shown;

F(x²+1) = (x²+1)²+1

Expand the expression

f(x²+1) = (x²+1)(x²+1)+1

f(x²+1) = (x⁴+x²+x²+1)+1

f(x²+1) = x⁴+2x²+1+1

f(x²+1) = x⁴+2x²+2

Hence f(f(x)) = x⁴+2x²+2

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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The amounts they have are: Amount in Kaitlin's wallet: $13Amount in Shen's wallet: $20Amount in Chau's wallet: $60

Let the amount in Shen's wallet be x. Then, according to the question, the amount in Kaitlin's wallet will be x - 7.And, as angles per the question, the amount in Chau's wallet will be 3x.So, the total amount they have is $93.Therefore, the equation can be formed as;

x + (x - 7) + 3x = 93

On solving this equation, we get;

x = 20

So, the amount in Shen's wallet is $20.

Then, the amount in Kaitlin's wallet will be;$20 - 7 = $13And, the amount in Chau's wallet will be;$60 ($20 * 3)Therefore, the amounts they have are: Amount in Kaitlin's wallet: $13Amount in Shen's wallet: $20Amount in Chau's wallet: $60

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Answer:

0.84 or 16

Step-by-step explanation:

Answer:

a = (p - b)/2

Step-by-step explanation:

Isolate the variable, a. 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 operation, and  =

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract b from both sides:

p (-b) = 2a + b (-b)

p - b = 2a

2a = p - b

Next, divide 2 from both sides:

(2a)/2 = (p - b)/2

a = (p - b)/2

a = (p - b)/2 is your answer.

~

Answer:

a = (p + b) / 2

Step-by-step explanation:

p = 2a + b

2a - b = p

+b

2a = p + b

/ 2

a = p + b

a = (p + b) / 2

Answer: 1/250

Step-by-step explanation: you could literally demos scientific calculator to get the Answer

Answer:

I think 9 but dont quote me on it

Answer:

2

Step-by-step explanation:

in khan academy i put 9 because thats what the last person said here but it was wrong and the correct answer was 2 so its 2 for sure.

Answer:

2.14159265358979323846264338327930288419716939937510582097494459230

Step-by-step explanation:

there's a song that I know

The exact value of sec(θ/2) is 17/15.

To find the exact value of sec(θ/2), we first need to find the value of θ/2.

Since cos(θ) = -15/17 and 180° < θ < 270°, we know that θ is in the third quadrant. In the third quadrant, cos(θ) is negative.

Given that cos(θ) = -15/17, we can use the Pythagorean identity to find the value of sin(θ):

sin(θ) = ±√(1 - cos²(θ))

= ±√(1 - (-15/17)²)

= ±√(1 - 225/289)

= ±√(289/289 - 225/289)

= ±√(64/289)

= ±(8/17)

Since θ is in the third quadrant, sin(θ) is negative. Therefore, sin(θ) = -8/17.

Now we can find the value of θ/2:

θ/2 = θ / 2

= (180° + θ) / 2

= (180° + (180° + θ)) / 2

= (360° + θ) / 2

= 360°/2 + θ/2

= 180° + θ/2

So, θ/2 = 180° + θ/2.

Now we can find the value of sec(θ/2):

sec(θ/2) = 1 / cos(θ/2)

Since θ/2 = 180° + θ/2, we can substitute it into the expression:

sec(θ/2) = 1 / cos(180° + θ/2)

Since cos(180° + θ/2) = -cos(θ/2), we have:

sec(θ/2) = 1 / (-cos(θ/2))

= -1 / cos(θ/2)

Finally, we can substitute the value of cos(θ/2) we found earlier:

sec(θ/2) = -1 / (-15/17)

= 17 / 15

Therefore, the exact value of sec(θ/2) is 17/15.

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