7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
​

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

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Inequalities are used to represent the unequal expressions

The complete inequality of the range is \(-2 \le y < 5\)

The domain and the range are given as:

Rewrite properly as:

[-4,-2] to (4,5)

Remove the x values

[-2] to (5)

Square brackets represent >= or <= while brackets represent > or <.

So, we have the following range:

\(-2 \le y < 5\)

Hence, the complete inequality of the range is \(-2 \le y < 5\)

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Answer:less than or equal to and less than

Step-by-step explanation:

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The design used in the study conducted by Janiszewski and Uy in 2008 is a within-subjects design.

Under this type of design, all candidates are exposed to all different levels of the independent variable.The independent variable is the scenario type, and all 43 participants each reads all 10 scenarios.

By using method, the researchers can directly compare participants responses and eliminating those individual differences as a potential confounding factor. It allows more precise assessment of the impact of the scenario type on the candidates  anchoring and adjustment process.

Overall, the study conducted by Janiszewski and Uy in 2008 used a within-subjects design to explore the impact of scenario type on participants' anchoring and adjustment behavior.

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Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

To calculate the profit, we subtract the cost from the selling price. Mrs. Richardson's cost for arranging the bouquet is $13.67, and she charges the bride $35 for the arrangement.

Profit = Selling Price - Cost

Profit = $35 - $13.67

Profit = $21.33

Therefore, Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

In this scenario, the profit is calculated by subtracting the cost of arranging the bouquet from the selling price. The cost incurred by Mrs. Richardson is $13.67, which includes the expenses for materials, labor, and any other associated costs. On the other hand, the selling price is $35, which is what the bride pays for the arrangement.

By subtracting the cost from the selling price, we find that the profit per arrangement is $21.33. This means that Mrs. Richardson earns $21.33 for each bouquet she arranges for a wedding, after covering her costs.

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Answer:

1X + 2Y = 59

Step-by-step explanation:

Saying that X is free throws (1 points) and Y is layups (2 point shots), we can use the inequality of 1X + 2Y = 59 to find the answer. I hope this helped.

Can you mark me brainliest please if my answer is correct

An equation that represents the value of the stamp is V(t) = V₀ * (1 + r)ˣ

The value of the stamp after 10 years would be approximately $56.34.

First, let's denote the initial value of the stamp as V₀ and the number of years as t. In this case, V₀ is equal to $50. The annual increase rate is given as 1.2%, which can be expressed as 0.012 in decimal form.

Now, we can start building the equation. Since the value of the stamp increases every year, we need to add the rate of increase to the previous year's value. Mathematically, this can be represented as:

V(t) = V₀ + (V₀ * r) + (V₀ * r) + ... + (V₀ * r)

Here, V(t) represents the value of the stamp after t years, and r represents the rate of increase (0.012 in decimal form).

Since the rate of increase remains constant at 1.2% each year, we can simplify the equation using exponential notation:

V(t) = V₀ * (1 + r)ˣ

Now we have an equation that represents the value of the stamp after t years, where V₀ is the initial value ($50), r is the rate of increase (0.012), and x is the number of years.

To find the value of the stamp after 10 years, we substitute t = 10 into the equation:

V(10) = $50 * (1 + 0.012)¹⁰

Calculating this equation will give us the value of the stamp after 10 years. Let's perform the calculation:

V(10) = $50 * (1.012)¹⁰

V(10) ≈ $50 * 1.1268250301

V(10) ≈ $56.34

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:adult=379, student=725

Step-by-step explanation:

Given

Total tickets sold for $2620

total  no of tickets 1104

The cost of an adult ticket is $5

The cost of a student ticket is $1

Suppose there are x adults and y students

So, we can write

\(\Rightarrow x+y=1104\quad \ldots(i)\\\Rightarrow 5x+y=2620\quad \ldots(ii)\)

Put the value of y from (i) into (ii)

\(\Rightarrow 5x+1104-x=2620\\\Rightarrow 4x=1516\\\Rightarrow x=379\)

Similarly, \(y=1104-379=725\)

Hi! I'm Pearl, from your math class, you're the one who always uses ♡ this ♡

during class with Leah, right?

Anyways, here is your answer:

200 meters^3

Volume = 50×8×0.5 = 200 meters^3

Correct me if I'm wrong! :)

Answer: 200m³

Step-by-step explanation: 50m x 8m x 0.5m

The z-score for a raw score of 6 is 0.5.A z-score indicates how many standard deviations a raw score is away from the mean.

To calculate the z-score for a raw score of 6 given a mean of 4 and a standard deviation of 4, we can use the formula:

z = (raw score - mean) / standard deviation

Substituting the values into the formula, we get:

z = (6 - 4) / 4

z = 0.5

Therefore, the z-score for a raw score of 6 is 0.5.

In this case, a z-score of 0.5 indicates that the raw score of 6 is half a standard deviation above the mean of 4.

Z-scores are useful because they allow us to compare scores from different distributions. For example, if we have two sets of data with different means and standard deviations, we can convert them into z-scores to compare them directly. A positive z-score means that the raw score is above the mean, while a negative z-score means that the raw score is below the mean. The magnitude of the z-score indicates how far the raw score is from the mean in terms of standard deviations.

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Answer:

The point after the reflection: \((-4,-8)\)

Step-by-step explanation:

-Statement: If you reflect the point \((x,y)\) across x-axis or the y-axis, then the \(x\) and the \(y\) of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point \((-4,8)\) across x-axis, then the point after the reflection, would be \((-4, -8)\) :

The following point: \((-4, 8)\)

The point after the reflection: \((-4,-8)\)

Answer:

C

Step-by-step explanation:

Line of symmetry

Answer:

9

Step-by-step explanation:

Because 9 times 8 is 72. Hope this helps

Answer:

9

Step-by-step explanation:

8 times 9 = 72 so you use division

Answer:

126 in^2.

Step-by-step explanation:

Area of parallelogram = 10 * 3.5 = 35.

Area of the square = 4*4 = 16.

Area of the rectangle = 6 * 12.5 = 75

Total area = 35 + 16 + 75

= 126 in^2.

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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Answer:

Hope this helps!

Step-by-step explanation:

x= 1/2- y+ -1/ 2

Answer:

$30

Step-by-step explanation:

Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.

Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.

the limits of integration become u = 576(-1.079 + 3)²/4² to u = 576(3 + 3)²/0²:

L =

(2/3)∫(u = 207.36 to u = ∞) sqrt[1 + u] (-y³ / 1152(x + 3)²) du

We can use the formula for arc length of a curve given by:

L = ∫(a to b) sqrt[1 + (dy/dx)²] dx

First, we need to solve for x in terms of y:

y² = 16(x + 3)³

(x + 3)³ = y²/16

x + 3 = (y/2)^(2/3)

x = (y/2)^(2/3) - 3

Next, we find the derivative dy/dx:

y² = 16(x + 3)³

2y dy/dx = 16(3(x + 3)²)

dy/dx = 24(x + 3) / y

Now, we substitute x = (y/2)^(2/3) - 3 and dy/dx = 24(x + 3) / y into the formula for arc length:

L = ∫(0 to 1) sqrt[1 + (dy/dx)²] dx

L = ∫(0 to 1) sqrt[1 + (24(x + 3) / y)²] dx

L = ∫(0 to 4) sqrt[1 + (24(x + 3) / y)²] (2/3)y^(1/3) dy

L = (2/3)∫(0 to 4) sqrt[1 + 576(x + 3)²/y²] y^(1/3) dy

Now, we make the substitution u = 576(x + 3)²/y²:

du/dy = -1152(x + 3)²/y³

dy/du = -y³ / 1152(x + 3)²

When y = 4, x = (4/2)^(2/3) - 3 = -1.079

When y = 0, x = (0/2)^(2/3) - 3 = -3

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The number 85, written as the sum of two square numbers in two different ways is 2² + 9² and 6² + 7²

From the question, we are to write the given number as the sum of two square numbers in two different ways.

From the given information, the given number is 85

First, we will evaluate the squares of numbers from 1 to 9

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

From above,

4 + 81 = 85

Thus,

2² + 9² = 85

and

36 + 49 = 85

Thus,

6² + 7² = 85

Hence, the sum of the squares are 2² + 9² and 6² + 7²

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Answer:

36

Step-by-step explanation:

-7-2=-9

due to the absolute value symbol placed before and after "m - n"; your answer will be a positive; -9 = 9(+)--> times 4= 36

4|m-n| = 36

Answer:

2 11/12

Step-by-step explanation:

(1/3)×(35/4=35/12=2 11/12 yards

On solving the provided question, we can say that, by solving the equations  that amount is $36.95

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Suppose x be the number of minutes of local calls when cost of plans are the same

Cost of Plan 1is $27.95+.12x

Cost of Plan 2 is $12.95+.32x

\($27.95+0.12x=12.95+.32x \\\)

\($27.95-$12.95+.12x-.12x=$12.95-$12.95+.32x-.12x\\$15.00=.20x\)

x=75 minutes

\(27.95+.12(75)=12.95+.32(75)\\27.95+9.00=12.95+24.00\\36.95=36.95\)

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Answer:

Step-by-step explanation:

I think it should be 20 because the line is similar to the 18 line so you can round up to 20.

Answer:

-5

Step-by-step explanation:

-5 -(-2)

=-7