Melissa wants to buy a bike that costs $135. This is $25 more than 5 times what she saved last month. How much did she save last month? Define a variable, write an equation, and solve. Variable:​

Answer:

True

Step-by-step explanation:

1.2^2 = 1.44

1.2 · 1.2 = 1.44

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Answer:

Step-by-step explanation:

No solutions

The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredths place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

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The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredth place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

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These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

4.21x+2.72

Step-by-step explanation:

(-1.41x - 0.01) + (5.62x + 2.73)

Combine like terms

-1.41x+5.62x     -0.01+2.73

4.21x+2.72

Answer:

4.21x + 2.72

Step by step explanation:

( - 1.41x - 0.01 ) + ( 5.62x + 2.73 )

First solve the brackets.

- 1.41x - 0.01 + 5.62x + 2.73

Combine like terms.

-1.41x + 5.62x - 0.01 + 2.73

4.21x + 2.72

Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

There are 1 and 3/5 of 5/8 in 1, if Its supposed to be a mixed number.

What is a mixed number?

A mixed number is a combination of a whole number and a fraction. It is written in the form of "a b/c" where a is the whole number, b is the numerator of the fraction, and c is the denominator of the fraction.

To answer your second question, we can divide 1 by 5/8 as follows:

1 ÷ 5/8 = (1 x 8) ÷ 5 = 8/5

We can then write 8/5 as a mixed number by dividing the numerator (8) by the denominator (5) and writing the remainder as the fraction part.

8 ÷ 5 = 1 with a remainder of 3, so we write the answer as:

1 3/5

Therefore, there are 1 and 3/5 of 5/8 in 1.

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Answer:

100 is perfect square

Step-by-step explanation:

in x² =100, we have x×x=100 and x could be ±10 since both 10² and (-10)² is equal to 100

Answer:

The answer is $2.14 per pound of apples.

Step-by-step explanation:

7.29/3.4= roughly 2.14.

Answer:

is 24.786

Step-by-step explanation:

multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786

The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

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You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

The approximate increase in area, rounded to two decimal places, is: ΔA ≈ 61 × 3.14 ≈ 191.54 mm². The estimated change in area can be calculated using the formula for the area of a circle, A = πr^2.

When the radius increases from 30 mm to 31 mm, the new area can be found as:

A_new = π(31 mm)^2 = 961π mm^2

Similarly, the original area can be found as:

A_old = π(30 mm)^2 = 900π mm^2

The approximate increase in area can be found by subtracting the old area from the new area:

ΔA = A_new - A_old = 961π mm^2 - 900π mm^2 = 61π mm^2

Using a calculator or approximating π to 3.14, we can calculate the approximate increase in area as:

ΔA ≈ 61(3.14) mm^2 ≈ 191.54 mm^2

Therefore, the estimated change in area is approximately 191.54 mm^2.

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Answer:

5,067

Step-by-step explanation:

9,379-4,312=5,067

Answer:

5,067

sometimes writing the problem like this

9,379

- 4,312

can help. :)

Answer:

21 x 21 = 441

Step-by-step explanation:

Whenever there is an exponent that is the many times you multiply the base by itself to.

Power is the result of multiplying two numbers together. The value of 21^2 is 441.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

Given that 21 has a power of 2, therefore, 21 to the power 2 means that 2 should be multiplied by itself twice.

21^2

= 21²

= 21 × 21

= 441

Hence, the value of 21^2 is 441.

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Answer:

(a) Yes Yes No No

(b) Yes No No Yes

Step-by-step explanation:

(a) \(\frac{-9}{10}=-\frac{9}{10}\)

\(\frac{9}{-10}=-\frac{9}{10}\)

\(\frac{-9}{-10}=\frac{9}{10}\)

\(\frac{9}{10}=\frac{9}{10}\)

(b) \(\frac{-3}{8}=\frac{3}{-8}\)

\(\frac{3}{8}=\frac{3}{8}\)

\(\frac{-3}{-8}=\frac{3}{8}\)

\(-\frac{3}{8}=\frac{3}{-8}\)

Step-by-step explanation:

\(12^{9} / 12 ^{3} =\)

When dividing exponential expressions with similar bases (in the problem, the base is 12), calculate the difference (this means subtract) between their exponents and keep the base:

so:

9 - 3 = 6

so the answer is : \(12^{6}\)

Answer:

6 to 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Original price = p

Discount in every item = 15%

An item will cost :-

= p - (15% of p)

= p - 15p/100

= p - 0.15p

Answer:

I think it's D

Step-by-step explanation: Because 14 20 23 35 42 64 87 92 125 131 are the order so D can incase all of them

In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

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After answering the given query, we can state that  Since you have only equation $20, the inequality for the maximum distance "d" in kilometers would be: \(5 + 2.5d \leq 20\)

In mathematics, the equals sign (=) is used to indicate equivalence and links two statements. The equality of two mathematical expressions is established by a mathematical statement used in algebraic equations. The equal sign, for instance, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical expression to understand how the two lines that are written on the opposite edges of a letter relate to one another. The show's emblem is typically the same as the program's. One example is 2x - 4 = 2.

Let's assume the distance you can ride is "d" kilometers, then the cost of the ride would be:

5 + 2.5d

Since you have only $20, the inequality for the maximum distance "d" in kilometers would be:

\(5 + 2.5d \leq 20\)

Solving for "d", we get:

\(2.5d \leq 15\\d \leq 6\)

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Answer:A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) Distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?

Step-by-step explanation:

do not uses this site i got all my answers wrong going here

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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If \(f^{-1}(x)\) is the inverse of \(f(x)\), then by definition of inverse functions,

\(\left(f\circ f^{-1}\right)(x) = f\left(f^{-1}(x)\right) = x\)

Given \(f(x) = 2x-8\), the inverse, if its exists, satisfies the equation above. Evaluate \(f\) at the inverse, we have

\(f\left(f^{-1}(x)\right) = 2 f^{-1}(x) - 8 = x\)

Solve for the inverse:

\(2 f^{-1}(x) - 8 = x\)

\(2 f^{-1}(x) = x + 8\)

\(\boxed{f^{-1}(x) = \dfrac12 x + 4}\)

Given \(g(x) = \frac13 x + 5\), we do the same thing as before to find its inverse.

\(g\left(g^{-1}(x)\right) = \dfrac13 g^{-1}(x) + 5 = x \implies \boxed{g^{-1}(x) = 3x - 15}\)

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

20

Step-by-step explanation:

The answer is 20, because they are asking about the west school.

Step-by-step explanation:

there are 20 students in 20 class rooms of the West school.

therefore the answer will be 20×20 = 400 students.

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Answer:

it will be 13/5 x 9/7

Step-by-step explanation:

2 3/5 / 7/9

2 x 5 = 10

10 + 3 = 13

13/5

flip 7/9 to 9/7