A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? rock? country? Write it as a substitution equation.

Answer: D

Step-by-step explanation:

That’s is where the Line intersects with the grid, at the point; 0,2

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Answer:

Not solutions.

Step-by-step explanation:

-5x+6y=-5

6y=-5+5x

6y=5x-5

y=5/6x-5/6

-5/6 is about -0.833

And the slope is 5/6.

So for every x there is 5/6y.

This means (1, 4) won't work cause it's too low.

Also 5/6*6=5. this is too low too.

So they aren't solutions.

The simplified form of the expression is 10x^4 - 36x^3 + 41x^2 - 33x + 12.To simplify the expression (5x^2 - 3x + 4) * (2x^2 - 6x + 3), we can use the distributive property and combine like terms.

(5x^2 - 3x + 4) * (2x^2 - 6x + 3)

= 5x^2 * 2x^2 + 5x^2 * (-6x) + 5x^2 * 3 + (-3x) * 2x^2 + (-3x) * (-6x) + (-3x) * 3 + 4 * 2x^2 + 4 * (-6x) + 4 * 3

Simplifying each term:

= 10x^4 - 30x^3 + 15x^2 - 6x^3 + 18x^2 - 9x + 8x^2 - 24x + 12

Combining like terms:

= 10x^4 + (-30x^3 - 6x^3) + (15x^2 + 18x^2 + 8x^2) + (-9x - 24x) + 12

= 10x^4 - 36x^3 + 41x^2 - 33x + 12

So, the simplified form of the expression is 10x^4 - 36x^3 + 41x^2 - 33x + 12.

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The number of stops that the runner would make is 9.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since the runner runs 1 4/5 miles and stops every 1/5 mile. The number of stops will be:

= Total mile / Stop

= 1 4/5 ÷ 1/5

= 9/5 ÷ 1/5.

= 9/5 × 5/1

= 9

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Step 1

The formula is given as;

Where;

Step 2

Answer;

Answer: All real numbers are solutions.

Step-by-step explanation: 3x+−6+1=−2x+5x+−5 3x+−5=3x+−5 3x−5-3x=3x−5-3x −5+5=−5+5 0=0

All real numbers are solutions.

Answer:

4) t -3

Step-by-step explanation:

-16t² = -16 * t * t

48t = (-16t) * (-3)

-16t² + 48t = (-16t) * t + (-16t) *(-3)

                = (-16t) [ t - 3]

One of the properties of an equilateral triangle is that all the sides are equal

From the statement given, each of the lengths of the triangle is at most 9 feet long means that each of the lengths is less than or equal to 9 feet

This can be represented mathematically as

The perimeter of an equilateral triangle is the addition of the three equal lengths i.e.

If x represents the perimeter, then

The length of the day in Manila, Philippines, varies periodically and can be modeled by a trigonometric function. The formula is l(t) = (779.607 - 675.856) xcos((2π/365) x (t - 111111)) + (779.607 + 675.856) / 2.

To model the variation in the length of the day in Manila, a trigonometric function is used, considering the period of change as exactly 365365365 days. The shortest day occurs on December 21, with a length of 675.85675.85675, point, 85 minutes, while the longest day occurs on June 21, with a length of 779.60779.60779, point, 60 minutes.

To find the formula for the trigonometric function, we need to consider the general form of a cosine function, which includes an amplitude, angular frequency, and phase shift. Here, the amplitude is (779.607 - 675.856), the angular frequency is (2π/365), and the phase shift is (t - 111111), where t represents the number of days after January 1.

Therefore, the formula for the length of the day can be expressed as l(t) = (779.607 - 675.856) xcos((2π/365) x (t - 111111)) + (779.607 + 675.856) / 2. This equation represents the variation in the day length throughout the year in Manila, with the cosine function capturing the periodic nature of the changes.

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Answer:

1, 4, 5, 7, 8

Step-by-step explanation:

once you plot the points you will see that these coordinates are inside the star

Answer:

x=5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Erik plans to run approximately 8.63 miles this week.

To find out how many miles Erik plans to run this week, we need to multiply the distance he ran last week (3 miles) by 2 7/8, which is the factor by which he plans to increase his distance. To do this, we first need to convert the mixed number 2 7/8 into an improper fraction:

2 7/8 = (2 x 8 + 7) / 8 = 23/8

Now we can multiply:

3 miles x 23/8 = (3 x 23) / 8 = 69/8 miles

This means that Erik plans to run 69/8 miles, or 8 5/8 miles, this week. This is a mixed number, which means that Erik plans to run 8 whole miles and 5/8 of a mile.

Alternatively, we can express 69/8 as a decimal by dividing the numerator (69) by the denominator (8):

69/8 ≈ 8.63

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Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Answer:

negative y axis

Step-by-step explanation:

6 radians is between 3pi/2 and 2pi radians, so it lies in tje fourth quadrant.

So, a terminal side is the negative y axis.

The equation of the quadratic function that has the given information can be written in Standard Form as y = x^2 - 4x + 2.

To find the equation, we can use the given x-intercepts and y-intercept. The x-intercepts are the points where the graph of the function crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis.

The x-intercepts are given as (-3,0) and (-2,0), which means that the factors of the quadratic function are (x+3) and (x+2). Multiplying these factors gives us the quadratic function in Standard Form:

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

y = x^2 + 2x + 3x + 6

y = x^2 + 5x + 6

The y-intercept is given as (0,2), which means that the constant term of the quadratic function is 2. To find the coefficient of the x term, we can use the point (1,6), which is also given:

6 = 1^2 + 5(1) + 6

6 = 1 + 5 + 6

6 = 12

Therefore, the coefficient of the x term is -4, and the equation of the quadratic function in Standard Form is:

y = x^2 - 4x + 2

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In an inverse function, the x's can have multiple outputs because the original function might not be one-to-one, meaning that different x-values can result in the same y-value. However, the y's have a single output because an inverse function is defined as swapping the roles of x and y.


1. In a function, each input (x) corresponds to a unique output (y), which is why y's have a single output.
2. However, some functions are not one-to-one, meaning that different x-values can result in the same y-value.
3. In an inverse function, the roles of x and y are swapped, meaning that x's can have multiple outputs if the original function was not one-to-one.

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Answer:

27 is your answer hope it helps

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Answer:

-2 + sqrt of 4x = 6

Step-by-step explanation:

the math equation above equals 16

hope that helps!

Answer: (\(8^{2}\) * 4)/32 * x/2 = 64

Note:  the ' * 'means multiply

Answer:

2/5 - 4

Step-by-step explanation:

quotient means to divide

4 less means subtraction

Answer:First isolate the term that has a W in it. To do that, you need to subtract 2L from both sides:

P - 2L = 2W

Now to get to just a single W, divide both sides by 2:

(P - 2L)/2 = W

Switch it around, so W is the subject:

W = (P - 2L)/2

If you like, you can simplify that by distributing the 2 into the parentheses:

W = P/2 - 2L/2

W = P/2 - L

Answer:

W = P/2 - L

Alternative solution; start by dividing both sides by 2:

P/2 = L + W

Subtract L from both sides:

P/2 - L = W

Switch it around, so W is on the left.

Answer:

W = P/2 - LStep-by-step explanation:

Answer:

w=(-p+2l)/2

Step-by-step explanation:

p=2l+2w

2w=-p+2l

w=(-p+2l)/2

Answer:

75%

Step-by-step explanation:
part/whole(100)

360/489 = .75

.75(100) = 75%

The percent of \(\frac{480}{360}\) equals to 75%

The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.

To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.

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Answer:

times -6

Explanation... 2 x 10-6 x -6=56

                      6 x 10-4=56      

Hope this helps

Answer:

Total ticket expenses = $24

Step-by-step explanation:

Given:

Each way cost = $4

Total ways = 3 x 2 = 6 times

Find:

Total ticket expenses

Computation:

Total ticket expenses = Each way cost x Total ways

Total ticket expenses = 4 x 6

Total ticket expenses = $24

the ratio is the relation(division) between 2 number

Step 1

Let

number 1= number of apples=8

number 2=total fruit = number of pears+ number of apples=5+8

number 2=13

Step 2

so, the ratio of apples to total fruit is 8/13

The best estimate for the owl population is 2,378.

The population of the owl can be estimated using the concept of proportion. Proportion refers to a mathematical comparison between two numbers. According to the concept, if two sets of given numbers are increasing or decreasing in the same ratio, hence the ratios are said to be directly proportional to each other.

Based on the provided information, 29 owls are tagged and released as part of a research project. Assume that the total number of owl populations is x. At the later time, researchers counted 902 owls and found the 11 were tag. Hence, there are 18 tagged owls which are not accounted for. Assuming that the proportional of tagged owls to number of owls counted applies to the remaining population, the total number of owls can be best estimated as:

x = (902/11)*29 = 2,378

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Answer: x= -3t/26

if it’s for x = -3t/26

If it’s for t= 26x/3

Step-by-step explanation:

Hope it helps