Gabriel finds some dimes and quarters in his change purse. How many coins does he have if he has 11 dimes and 8 quarters? How many coins does he have if he has dd dimes and qq quarters?

Answer:

The solution to this inequality is 4 or anything less than 4

so x could equal 4, 3, 2, 1, 0, -1, -2, and so on

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Answer:

y = 56 + 26x

Step-by-step explanation:

Answer:

The Answer is 2

Step-by-step explanation:

The rule is 4 or less let it rest. 5 or more raise the score.  6 is greater than 5 so you raise it to two

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

1. L , M and N are collinear

2. Given

3. LM = MN

4. Bisector theorem

A rational equation is an equation that includes one or more rational expressions. A rational expression is a fraction where both the numerator and denominator are polynomials. The correct option is B. 0.7x-3=0.09(x - 5)

An equation that includes one or more rational expressions is called a rational equation. A rational expression is a fraction in which both the numerator and denominator are polynomials.

Let's consider each equation:

A. ½ x – 1/3 = 4-xB. 0.7x-3

=0.09(x - 5)C. 6/x -1

= 4/x-2D. 4-2(x-1)

=x+3A

is a linear equation and does not include any rational expressions, so it is not a rational equation. B includes a rational expression (0.09(x - 5)) and is therefore a rational equation. C includes two rational expressions, so it is a rational equation. D is a linear equation and does not include any rational expressions, so it is not a rational equation.

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Answer:

41888

Step-by-step explanation:

4*56(88+99)=

4*56(187)=

4*10472=

41888

the vector in the rotated coordinate system, v_rotated, is [cos(θ) * x1 - sin(θ) * y1, sin(θ) * x1 + cos(θ) * y1].

To find the vector in the rotated coordinate system, we can use a rotation matrix. The rotation matrix represents the transformation of coordinates from one coordinate system to another through a rotation.

The rotation matrix for a two-dimensional vector in a counterclockwise rotation by an angle θ is:

R = | cos(θ) -sin(θ) |

| sin(θ) cos(θ) |

To apply this rotation matrix to a vector, we multiply the vector by the rotation matrix. Let's say the vector we want to rotate is v1 = [x1, y1].

v_rotated = R * v1

Using matrix multiplication:

v_rotated = | cos(θ) -sin(θ) | * | x1 |

| sin(θ) cos(θ) | | y1 |

Simplifying the multiplication:

v_rotated = [cos(θ) * x1 - sin(θ) * y1, sin(θ) * x1 + cos(θ) * y1]

So, the vector in the rotated coordinate system, v_rotated, is [cos(θ) * x1 - sin(θ) * y1, sin(θ) * x1 + cos(θ) * y1].

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The solution to the inequality are the region in the shaded area and the graph is attached

From the question, we have the following parameters that can be used in our computation:

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.To express Annika's spending in terms of h, the number of hours the DJ can be at the party, we can set up an inequality by considering the total cost.

Let's represent Annika's spending on the DJ as 35h, where h is the number of hours. Additionally, we know Annika plans to spend $180 on decorations. Therefore, the total cost should be no more than $400.

The inequality can be written as:

35h + 180 ≤ 400

This inequality states that the cost of hiring the DJ (35h) plus the cost of decorations ($180) should be less than or equal to $400.

Therefore, the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.

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The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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Answer:

Step-by-step explanation:

You want a system of equations describing Stella's cost of going to the carnival, where she spent $2.50 on each game, and $4 on each ride for a total of $52.50. The number of rides is twice the number of games.

It is often convenient to use mnemonic variable names, so we choose ...

  g = the number of games Stella played

  r = the number of rides Stella went on

The total cost of tickets is ...

  2.50g +4.00r = 52.50

The relation of numbers of games and rides is ...

  r = 2g

__

Additional comment

It is convenient to substitute for r in the first equation to give ...

  2.50g +4.00(2g) = 52.50

  10.50g = 52.50 . . . . . . . . . simplify

  g = 5 . . . . . . . . . . . . . . divide by 10.50; games Stella played

  r = 2(5) = 10 . . . . . . the number of rides Stella went on

Answer:

así es es una fracción si necesita la respuesta me avisa

Answer:

y = -6/7x - 3/7 or 7y = -6x - 3

Step-by-step explanation:

I'm guessing you mean line c: y = -6/7x - 1

Parallel lines have same slope => line d will have slope = -6/7

y = mx + b

-9 = -6/7(10) + b

-9 = -60/7 + b

b = 60/7 - 9 = 60/7 - 63/7 = -3/7

y = -6/7x - 3/7

or 7y = -6x - 3

Answer:

is A

Step-by-step explanation:

Step-by-step explanation:

let's reffer to:

gumbo (x)

raspberry (y) so,

8x + 9y =14. 3 (1)

6x + 3y = 8.1 (2)

devide (2) by 3

2x + y = 2.7

y = 2.7 - 2x (3)

substitute 3 in 1

8x + 9(2.7 - 2x) = 14.3

8x + 24.3 - 18x = 14.3

10 x = 10

x = 1 (ANS)

and y = 0.7 (ANS)

Answer:

Hello There the correct answer to this is The first one is 1029.6 Because you need to multiply 8 x 9 then it will be 72 and then multiply 72 x 14.30 it will be 1029.6 it will the same the Second one is 145.8 Because you you need to multiply the first one multiply 6 x 3 which that 18 the multiply 18 x 8.10 which that will be 145.8 SO both of these answer are the same.

Hope It Helps!

ItsNobody

Answer:

1. slope= 3/4x Y-intercept= 7

2. slope= 5x Y-intercept=8

3. slope= -2x Y-intercept=0

4. slope= 0 Y-intercept=12

*the table ones are difficult to type out but sorry if it doesnt make sense*

5. X Y=3x+4. Y

0 y=3(0)+4 4

1 y=3(1)+4 7

2 y=3(2)+4 10

3 y=3(3)+4 13

4 y=3(4)+4 16

6. X y=1/2x-1. Y

-2 y=1/2(-2)-1 -2

1 y=1/2(1)-1 1.5

4 y=1/2(4)-1 2

6 y=1/2(6)-1 3

9 y=1/2(9)-1 3.5

7. X. Y=5-2x Y

0 y=5-2(0) 5

1 y=5-2(1) 3

2 y=5-2(2) 1

3 y=5-2(3) -1

4 y=5-2(4) -3

I believe you need the graph for the last 3

Answer:

This is 8th grade? I learned this in 7th grade

Step-by-step explanation:

1. Slope= 3/4x (MAKE SURE TO PUT THE X) Y intercept = +7 (MAKE SURE YOU PUT A + IF IT IS POSITIVE AND - IF NEGATIVE

2. Slope = 5x  Y intercept = 8 (I think this was a trick question?)

3. Slope = -2x Y intercept = 0 (So just keep it empty or say 0 if your teacher is like that)

4. Slope = x Y intercept = +12

I can't see the full question so sadly I can't help with the otherones

Answer:

Slope: -8/3

Step-by-step explanation:

y + 3 = -8 (x-4)

y+3 = -8x + 32

y = -8/3x + 29

Therefore, the slope is -8/3.

The slope is :

Solution:

Givens :

To determine the slope, it's important to know the form of the equation first.

The forms are:

This equation matches point slope perfectly.

\(\rule{350}{4}\)

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Extra info

The point of the line is \(\bf{(4,-3)}\).

The lawn measures 10 meters in length and 25 meters in width:

Step 1 : Find the Area of the lawn

Step 2: The woman need to seed 80% of the lawn

Step 3: Since it is 1,000 seeds per square meter

and the woman needs to seed 200 square meters

That would be

Hence the correct answer is Option D

Answer:

it did not change because the expression p-2 still remains the denominator

Answer:

Let (x1, y1) = (-9, 5) and (x2, y2) = (3, 2) be the two points.

The formula for finding the slope between two points is:

m = (y2 - y1) / (x2 - x1)

Substituting the values, we get:

m = (2 - 5) / (3 - (-9))

m = -3 / 12

m = -1/4

Therefore, the slope between the points (-9, 5) and (3, 2) is -1/4.

Answer:

M = -1/4

Step-by-step explanation:

(y2-y1)/(x2-x1) = Slope

we use the x and y components of the given coordinates to find out the answer.

Therefore,

(2-5)/(3-(-9)) = -1/4

A boat leaves port and follows a course of N72°E at 6 knots for 3 hours and 20 minutes. Then, it changes to a new course of S27°E at 12 knots for 5 hours. We need to determine the distance of the boat from the port.

To find the distance of the boat from the port, we can break down the boat's journey into two segments and calculate the distance traveled in each segment.

In the first segment, the boat travels at a speed of 6 knots for a duration of 3 hours and 20 minutes, which is equivalent to 3.33 hours. The course N72°E indicates that the boat is traveling 72° east of north. Using the formula d = v * t, where d represents the distance, v represents the velocity, and t represents the time, we can calculate the distance traveled in the first segment as 6 knots * 3.33 hours = 19.98 nautical miles.

In the second segment, the boat travels at a speed of 12 knots for a duration of 5 hours. The course S27°E indicates that the boat is traveling 27° east of south. Using the same formula, we calculate the distance traveled in the second segment as 12 knots * 5 hours = 60 nautical miles.

To find the total distance from the port, we can use vector addition. The boat's displacement in the north-south direction is 0 (since the boat changed from a northern course to a southern course), and the displacement in the east-west direction is the sum of the distances in each segment: 19.98 nautical miles + 60 nautical miles = 79.98 nautical miles.

Therefore, the boat is approximately 79.98 nautical miles from the port.

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Answer

5

Step-by-step explanation:

2-(-4)+3+(-6)-(-2)

6+3+(-4)

9+(-4)

5

The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4

Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.

It gives first term or terms of sequence and describes how term is related to previous term with an equation.

Looking at the graph ,

taking first two point  ,n = 1 and n = 2

At n = 1 , a(n) = 13

At n = 2 , a(n) = 9

so , 9 = 13 - 4

we can write it as,

a₂ = a₁ - 4

Hence , recursive formula for sequence :

aₙ₊₁ = aₙ - 4

bring aₙ to the left

=>  aₙ = aₙ₊₁ + 4 is required recursive formula

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For the function y = (x^3 − 4)(x^2 − 3x + 1), at the point (2,−4), (a) the slope of the tangent line is 32, and (b) the instantaneous rate of change of the function is also 32.

To find the slope of the tangent line at the point (2,−4), we need to take the derivative of the function with respect to x and evaluate it at x = 2. The derivative of y with respect to x can be found using the product rule and simplifying:

dy/dx = (x^2 - 3x + 1)(3x^2 - 4) + (x^3 - 4)(2x - 3)

= 3x^4 - 13x^3 + 14x^2 - 11x + 4

Evaluating the derivative at x = 2:

dy/dx = 3(2)^4 - 13(2)^3 + 14(2)^2 - 11(2) + 4

= 48 - 104 + 56 - 22 + 4

= -18

Therefore, the slope of the tangent line at the point (2,−4) is -18.

The instantaneous rate of change of the function is equal to the slope of the tangent line at any point. Thus, the instantaneous rate of change of the function at (2,−4) is also -18. This means that for a small change in x near 2, the corresponding change in y is approximately -18.

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Answer:

1.) <

2.) >

Step-by-step explanation: 2 is greater than -12 and -2 is greater than -7.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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