Sam has $1.42 in pennies, dimes, and nickels. If he has three times as many dimes as nickels and two less

pennies than the number of nickels, how many of each coin does he have?

Sam has

nickels,

dimes, and

pennies.

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

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The value for the height h of the right triangle is equal to 4.8990.

The height h of the right triangle divides the triangle in two triangles with the same proportions as the original triangle, which implies that if the adjacent for the smallest triangle is 4 and the adjacent of the other triangle is h, then:

h/6 = 4/h {considering the tangent ratio}

h² = 4 × 6 {cross multiplication}

h = √24

h = 4.8990

Therefore, value for the height h of the right triangle is equal to 4.8990.

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Based on the data given, the slope value and behaviour are :

slope = (10 - 5) / (-11 - (-3.5))

slope = 5 / -7.5 = -0.667

The slope of the data in the table is -0.667

slope = (0 - 0) / (2 - (-3))

slope = 0 / 5 = 0

The slope of the graph is 0.

The function with a negative slope is the data table .

The function with a steeper slope is the data table .

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Answer: 32x

Step-by-step explanation: 4(8x)

32x

Answer:

32x

Step-by-step explanation:

4(8x) = 4 * 8x

This is called distributing. You multiply the outside number (assuming there are no operations in between (except multiplication)) with every term inside.

Answer:

speed

Step-by-step explanation:

Answer: 17.6

Step-by-step explanation:

The answer to the nearest tenth B. 17.6 ft

Word issues commonly encompass mathematical modeling questions, where information and facts about a positive device are given and a scholar is needed to develop a version. for instance: Jane had $5.00, then spent $2.00. How lots does she have now?

A proven step-by-step approach for solving word problems is sincerely quite simple.

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The missing angle D is 55 degrees, and the lengths of DE and DF are approximately 8.40 units and 14.65 units, respectively. Therefore, the correct option is (B) m∠D = 55°, DE ≈ 8. 40 units, DF ≈ 14. 65 units

We can start by using the trigonometric ratios of the angles in a right triangle. In particular, we can use the tangent function to find the measure of angle D

tan(D) = DE / FE

tan(D) = DE / 12

We know that angle F is 35 degrees, so angle D must be

D = 90 - F

D = 90 - 35

D = 55 degrees

Now that we know the measure of angle D, we can use the sine and cosine functions to find the lengths of DE and DF, respectively. We know that

sin(F) = DE / DF

cos(F) = FE / DF

Substituting the given values

sin(35) = DE / DF

cos(35) = 12 / DF

Solving for DE and DF

DE = DF × sin(35)

DE = DF × 0.574

DE ≈ 0.574 × DF

DF = 12 / cos(35)

DF ≈ 14.65 units

DE ≈ 0.574 × 14.65

Multiply the numbers

DE ≈ 8.40 units

Therefore, the correct option is (B) m∠D = 55°, DE ≈ 8. 40 units, DF ≈ 14. 65 units

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The given question is incomplete, the complete question is:

Solve the given right triangle for its missing angle and side measures

A. m∠D = 55°, DE ≈ 4. 40 units, DF ≈ 13. 65 units

B. m∠D = 55°, DE ≈ 8. 40 units, DF ≈ 14. 65 units

C. m∠D = 35°, DE ≈ 8. 40 units, DF ≈ 13. 65 units

D. m∠D = 35°, DE ≈ 8. 40 units, DF ≈ 14. 65 units

The probability that the sum of the two randomly selected numbers is at least 7 is 12/21, which simplifies to 4/7 or approximately 0.571.

To find the probability that the sum of two randomly selected numbers from the set {1, 2, 3, 4, 5, 6, 7} is at least 7, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

Let's consider the favorable outcomes:

1. Selecting 4 and 3: There are two ways to choose these numbers: (4, 3) and (3, 4).

2. Selecting 5 and 2: There are two ways to choose these numbers: (5, 2) and (2, 5).

3. Selecting 6 and 1: There are two ways to choose these numbers: (6, 1) and (1, 6).

4. Selecting 7 and any number: There are six ways to choose the second number: (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), and (7, 6).

Therefore, the total number of favorable outcomes is 2 + 2 + 2 + 6 = 12.

Now let's consider the total number of possible outcomes:

We are selecting two numbers from a set of seven, which can be done in C(7, 2) ways (7 choose 2). This can be calculated as follows:

C(7, 2) = 7! / (2! * (7-2)!) = 7! / (2! * 5!) = (7 * 6) / (2 * 1) = 21.

So, the total number of possible outcomes is 21.

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For a randomly chosen deceased person from this population in  a certain population,

Probability can be defined as the rate of the number of favorable issues to the total number of issues of an event. For an trial having 'n' number of issues, the number of favorable issues can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability of car accidents was 1.2% i,e 12/10 → 6/5

Probability of deaths due to sharks are 0.0005% → 1/2000

If a person is a surfer then,

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The vector x consists of values ranging from 0.988 to 1.012, incrementing by 0.001.

The vector x = (0.988, 0.989, 0.990, ..., 1.010, 1.011, 1.012) is a sequence of numbers with a specific pattern. The values start at 0.988 and increment by 0.001, reaching up to 1.012.

This means that each subsequent value in the vector is 0.001 greater than the previous one. The purpose of this vector is to represent a set of values within a specific range with a consistent increment.

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After the 7th iteration of the selection sort algorithm, the array becomes [-5, 1, 8, 12, 21, 22, 32, 56, 77, 34].

To apply the selection sort algorithm to the given data set, starting with the array [56, 32, 1, 12, -5, 34, 22, 21, 77, 8], we perform the following steps:

On the first iteration, we find the minimum value (-5) and swap it with the first element. The array becomes [-5, 32, 1, 12, 56, 34, 22, 21, 77, 8].

On the second iteration, we find the minimum value (1) starting from the second element and swap it with the second element. The array becomes [-5, 1, 32, 12, 56, 34, 22, 21, 77, 8].

On the third iteration, we find the minimum value (8) starting from the third element and swap it with the third element. The array becomes [-5, 1, 8, 12, 56, 34, 22, 21, 77, 32].

On the fourth iteration, we find the minimum value (12) starting from the fourth element and swap it with the fourth element. The array remains unchanged: [-5, 1, 8, 12, 56, 34, 22, 21, 77, 32].

On the fifth iteration, we find the minimum value (21) starting from the fifth element and swap it with the fifth element. The array remains unchanged: [-5, 1, 8, 12, 21, 34, 22, 56, 77, 32].

On the sixth iteration, we find the minimum value (22) starting from the sixth element and swap it with the sixth element. The array remains unchanged: [-5, 1, 8, 12, 21, 22, 34, 56, 77, 32].

On the seventh iteration, we find the minimum value (32) starting from the seventh element and swap it with the seventh element. The array remains unchanged: [-5, 1, 8, 12, 21, 22, 32, 56, 77, 34].

Thus, after the 7th iteration of the selection sort algorithm, the array becomes [-5, 1, 8, 12, 21, 22, 32, 56, 77, 34].

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9514 1404 393

Answer:

  408.4 in²

Step-by-step explanation:

The lateral area of a cone is ...

  LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height

Using the given dimensions, the area of the hat is ...

  LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²

The surface area is about 408.4 in².

The sum of the expression is 3.5x+6.8.

Given that are two expressions, we need to find the sum of the expressions,

The expression is a mathematical statement which is constructed by putting arithmetical operations, variables and numbers together.

So, finding the sum.

(-4.25x + 9) and (8x - 2.2)

Putting the sign of addition,

= (-4.25x + 9) + (8x - 2.2)

Opening the brackets,

= -4.5x + 9 + 8x - 2.2

Combining the like terms.

= 8x-4.5x + 9-2.2

Operating the like terms,

= 3.5x+6.8

Hence, the sum of the expression is 3.5x+6.8.

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The correct answer is option C which is  \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.

The multiplication of the matrix will be calculated as:-

M = \(\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right]\)

M  =    \(\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right]\)

M =     \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

Therefore the correct answer is option C which is  \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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The equation of the given parabola fits the form (y−k)²=4c(x−h).

The question specifically asks for the form of the equation that fits the given parabola. Based on the provided options A and B, the equation (y−k)²=4c(x−h) matches the form required.

The parameters h, k, and c in the equation represent the vertex coordinates (h, k) and the focal length. To find the specific values of h, k, and c, further analysis and calculations are needed using the information given in the question, such as the distances between the vertex, focus, and directrix.

These calculations would allow for the determination of the exact equation and the sketching of the parabola.

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The cost per yard of fabric is $10.50 if Taylor pays $5.25 for 0.5 yards of fabric, option third $10.50 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Taylor pays $5.25 for 0.5 yards of fabric.

The cost of 0.5-yard fabric = $5.25

Let's suppose the cost per yard is $x

x can be calculated by using the fraction:

x = 5.25/0.5 = $10.50

Thus, the cost per yard of fabric is $10.50 if Taylor pays $5.25 for 0.5 yards of fabric option third $10.50 is correct.

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The range of the function is

\(y \leqslant 1\)

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

The slope of the tangent line at (x,f(x)) is given by the derivative f'(x). Thus, we have: The function f(x) is:
f(x) = -4/x - (7/5)/x^5 + 27/5

f'(x) = 4/x^2 - 7/x^6

To find the function f(x), we need to integrate f'(x) with respect to x. We have:

∫ f'(x) dx = ∫ (4/x^2 - 7/x^6) dx

Integrating each term separately, we get:

f(x) = -4/x - 7/(5x^5) + C

where C is the constant of integration. We can find the value of C by using the fact that the curve passes through the point (1,0):

0 = -4/1 - 7/(5*1^5) + C

C = 4/5

Therefore, the function f(x) is:

f(x) = -4/x - 7/(5x^5) + 4/5

Note that this function is defined for x > 0, as specified in the problem statement.

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a) From the given information , upon calculation , the inventory turnover is 4.8 times.

To calculate the inventory turnover, we need to divide the cost of goods sold (COGS) by the average inventory. The quick ratio given is 1.56, which can help us find the average inventory.

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Rearranging the formula, we can find the inventory:

Inventory = Current Assets - (Quick Ratio * Current Liabilities)

= $950,000 - (1.56 * $450,000)

= $950,000 - $702,000

= $248,000

Now, we can calculate the inventory turnover:

Inventory Turnover = COGS / Average Inventory

Given that COGS is $1,200,000 and the average inventory is $248,000:

Inventory Turnover = $1,200,000 / $248,000

≈ 4.8 times

The inventory turnover is approximately 4.8 times. This means that the company sells and replaces its inventory about 4.8 times during the given period. A higher inventory turnover generally indicates efficient inventory management, as it implies that the company is selling its goods quickly and minimizing the risk of inventory obsolescence or spoilage.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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for what? :)  .

...................

Answer:

95

Step-by-step explanation:

let's break this into parts.

30 + 50

we know 3 + 5 = 8, then since there is one 0 after both of those, multiply by 10 to get 80.

7 + 8 = 15

this is an addition problem, so add the two parts together:

80 + 15 = 95.

hope this helped!

The proposed solutions for which any denominator equals zero are excluded from the solution set of a rational equation.

To solve a rational equation, multiply each side by the equation's terms' least common denominator (L C D), then solve the resultant equation. Because a rational expression does not exist when its denominator is 0, suggested solutions with any denominator equal to 0 are eliminated from the solution set.

Extraneous solutions in rational equations are numbers that make any denominator in the original problem to be 0. Of course, when we have 0 in the denominator, we get an undefined expression. As a result, we would have to exclude any numbers that would result in the denominator being 0.

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Answer:

$11.50

Step-by-step explanation:

Hope this helps!!

Answer:

The third choice: The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:

F(x) has a slope of 4.

To find the slope, we need to do (y2 - y1) / (x2 - x1). So → (1-9) / (0-2) → 4. Because of the slope-intercept formula — y = mx + b, where “m” represents the slope — we know that g(x) has a slope of 3.

F(x) has a y-interception of 1.

The y-intercept is when the line crosses the y-axis, which means x = 0. That means, 1 is our y-int. Because of slope-intercept formula — y = mx + b, where “b” represents the y-int — we know that g(x) has a y-int of 1.

Answer:

-98

Step-by-step explanation:

-7=x/14

x=-7*14

x=-98

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

x= -98

Step-by-step explanation:

-7=x/14

times each side by fourteen to get x alone

-7*14=x/14 *14

-98=x

and you're all done