Ryan bought a racing bike for $4,000 this month. Its value depreciates by
2% every year. What is the value of the bike 4 years from now? *

We can graph the solution region by shading in the feasible area and finding two examples of solutions that work within the constraints. For example, (x=5, y=10) and (x=9, y=6) both satisfy the inequalities.

Q.1. Let x be the number of lawn tickets sold and y be the number of pavilion seats sold. Then we have the system of equations:
x + y = 14 (total number of tickets)
26x + 54y = 462 (total cost of tickets)
Using substitution or elimination, we can solve for x and y to find how many of each type of ticket were sold. The solution should make sense in the context, meaning the numbers should be non-negative and add up to 14.

Q.2. Let x be the number of hours Tenley walks and y be the number of hours she bikes. Then we have the system of inequalities:
x + y ≥ 15 (total hours of exercise)
3x + 10y ≥ 90 (total distance covered)
y ≤ 10 (bike no more than 10 hours)
x ≤ 12 (walk no more than 12 hours)
We can graph the solution region by shading in the feasible area and finding two examples of solutions that work within the constraints. For example, (x=6, y=9) and (x=8, y=7) both satisfy the inequalities.

Q.3. Let x be the number of rollers and y be the number of paint brushes. Then we have the system of inequalities:
x + y ≥ 15 (total number of supplies)
4x + 3y ≤ 72 (total cost of supplies)
x ≥ 5 (at least five rollers)
y ≥ 5 (at least five paint brushes)
We can graph the solution region by shading in the feasible area and finding two examples of solutions that work within the constraints. For example, (x=5, y=10) and (x=9, y=6) both satisfy the inequalities.

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Answer:

12.566

12.6 (simplified to the tenths)

12.57(simplified to the hundredths)

Step-by-step explanation:

The diameter of a circle is always double of the radius

π is always ≈ 3.14

π * 2^2 = π * 4  ≈ 12.566

The radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

To find the radius of the spherical ball, we'll use the formula for the surface area of a sphere, which is given by:

Surface Area = 4πr²

Given that the surface area of the ball is 452 cm², we can set up the equation:

452 = 4πr²

Dividing both sides of the equation by 4π, we get:

113 = r²

Taking the square root of both sides, we find:

r ≈ √113

Evaluating √113 to the nearest hundredth, we have:

r ≈ 10.63 cm

Therefore, the radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

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Answer:

86 is equivalent to 43 because 8 x 3 = 6 x 4 = 24. 129 is equivalent to 43 because 12 x 3 = 9 x 4 = 36.

its either a or d but positive its a

Answer:

X=reference angle, 8=opposite side, and 11 is the hypoteneuse

Answer:

The answer is 77

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

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Answer:

Total cost of the crib = $336.40

Step-by-step explanation:

Total Cost of the crib = Cost of the crib + (cost of the crib × Sale tax%)

  Total Cost of the crib = $320 + ($320 × .05125)       5.125% = .05125 as a

                                                                                         decimal.

     Total cost of the crib = $320 + $16.40

     Total cost of the crib = $336.40

Option A:

This is false because a number's opposite is the number in negatives. The product of a number and it's opposite is sometimes not 1.

Option B:

This is true because 0's opposite will be 0.

Option C:

This is true because the opposite of a negative number will always result as a positive number.

Option D:

This is true. Let's take an example of -1.

-1 => opposite => 1

Both numbers will be one away from 0. Thus, this is true.

We can now conclude that B,C,D are correct.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

√28561

Step-by-step explanation:

√ = 169

Square root of 169 = 169²

√28561 = 169

[I apologize if I misunderstood the question.]

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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The height of the triangle with area of 60 square inches and the base of 12 inches is 10 in.

An equation is an expression that shows the relationship between numbers and variables.

The area of a triangle is the amount of space it occupies. The area is the product of the base and height divided by 2. It expressed as:

Area = (1/2) * base * height

Given that the area is 60 square inches and the length of the base must be 12 inches. Let h represent the height

Therefore:

Area = (1/2) * base * height

60 = (1/2) * 12 * h

6h = 60

h = 10 in

The height of the triangle is 10 in.

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer: The price increase = $2,860.

The price of the next model will be $57,860.

Step-by-step explanation:

Given: The next model sports car will cost 5.2% more than the current model.

Current model costs $55,000.

Price increase = 5.2%  of (Cost of current model)

= (0.052) x ($55000)

= $ 2860

So, the price increase = $2860.

Price of the next model = Cost of current model +  price increase

= $(55000+2860)

= $ 57,860

Hence, the price of the next model will be $57,860.

Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

To calculate the number of different combinations of 3 movies Nadia can rent if she wants at least one mystery, we can use the combinations formula and subtract the number of combinations with no mysteries from the total number of combinations of 3 movies.Let's break down the problem:

We know that Nadia wants to rent 3 movies. At least one of the movies must be a mystery film. Nadia has 13 horror films and 7 mysteries to choose from. We want to know how many different combinations of 3 movies Nadia can rent if she wants at least one mystery.

This means that Nadia can choose 2 horror films and 1 mystery film, 1 horror film and 2 mystery films, or 3 mystery films. Let's calculate each of these separately.

Step 1: Calculate the total number of combinations of 3 movies Nadia can rent.The total number of combinations of 3 movies Nadia can rent is: 20C3 = (20!)/(3!(20-3)!) = (20 x 19 x 18)/(3 x 2 x 1) = 1140.

Step 2: Calculate the number of combinations of 3 movies Nadia can rent with no mysteries.Nadia can choose all 3 movies from the 13 horror films. The number of combinations of 3 movies Nadia can rent with no mysteries is: 13C3 = (13!)/(3!(13-3)!) = (13 x 12 x 11)/(3 x 2 x 1) = 286.

Step 3: Calculate the number of combinations of 3 movies Nadia can rent with at least one mystery.Nadia can choose 2 horror films and 1 mystery film, 1 horror film and 2 mystery films, or 3 mystery films.

We can calculate the number of combinations of 3 movies Nadia can rent with at least one mystery by adding the number of combinations of 2 horror films and 1 mystery film, the number of combinations of 1 horror film and 2 mystery films, and the number of combinations of 3 mystery films.

Number of combinations of 2 horror films and 1 mystery film:

13C2 x 7C1 = 78 x 7 = 546

Number of combinations of 1 horror film and 2 mystery films:

13C1 x 7C2 = 13 x 21 = 273.

Number of combinations of 3 mystery films:

7C3 = (7!)/(3!(7-3)!)

= (7 x 6 x 5)/(3 x 2 x 1)

= 35.

Total number of combinations of 3 movies Nadia can rent with at least one mystery: 546 + 273 + 35 = 854.

Step 4: Subtract the number of combinations of 3 movies Nadia can rent with no mysteries from the total number of combinations of 3 movies Nadia can rent.The number of different combinations of 3 movies Nadia can rent if she wants at least one mystery is:

1140 - 286 = 854.

Therefore, the number of different combinations of 3 movies Nadia can rent if she wants at least one mystery is 854.

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Answer:

Step-by-step explanation:

The standard deviation of a data set is represented by the following equation:

Therefore, for the given sample:

For each data point, find the square of its distance to the mean.

Now, solving for the standard deviation:

Answer: -5/2 or 1/6

Step-by-step explanation:

I6n + 7I = 8

Therefore (6n + 7) = 8 or -8 because modulus means we're only getting it's absolute value, (it's positive value) meaning it could equal 8 or -8 before it's modulus'ed.

Therefore 6n + 7 = 8

or 6n + 7 = -8

Leaving us with:

6n = 1

6n = -15

So n = 1/6

or n = -5/2 (-2.5)

Answer:

n = 1/6                          n = -5/2

Step-by-step explanation:

|6n+7|=8

This has two solutions, one positive and one negative

6n+7 = 8  and 6n+7 = -8

Subtract 7 from each side

6n+7-7 = 8-7         6n+7-7 =-8-7

6n =1                        6n = -15

Divide by 6

6n/6 = 1/6                 6n/6 = -15/6

n = 1/6                          n = -5/2

Answer:

The total amount is 1214.4

Step-by-step explanation:

Given

principal p=$1200

interest rate r= 12%= 12/100= 0.12

time t= 1

n= 12

we know that the compound interest formula is

A=p(1+r/n )^nt

A=1200(1+0.12/12)^1*12

A=1200(1+0.01)^12

A=1200(1.001)^12

A=1200*1.012

A=1214.

Answer:

Correct answers:

$2928$

Step-by-step explanation:

$2928$

We express the interest r in decimal form, so we have r=12%=12100=0.12. The principal is P0=$1,200, so the interest is I=P0⋅r⋅t=$1,200⋅0.12⋅12=$1,728. The interest paid is $1,728, so the total amount repayable is $1,200+$1,728=$2,928.

Answer:

no

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sea level is always represented by the number 0 unless you are reffering to how to get to see level in which case you'd have to fly down -1200 ft.

Answer:

450+40x

Step-by-step explanation:

u pay 450 for the air conditioning and 40 every month so since x is the months u multiply by 40 because its how much u pay and add it all up

Those two trains met 4 hours after 1 pm or at 5 pm. They met at 350 miles from train A's starting point.

The relation between distance, speed, and time is given by:

distance = speed x time

In the given problem:

Train A leaf at 12.00 pm, with

speed = 70 mph

Since train B left at 1 pm, by the time train B left, train 1 has travelled a distance of:

distance train A = 70 mph x 1 hour = 70 miles.

Hence, when train A and train B left at 1 pm, they are 550 - 70 = 480 miles apart.

Let

sA = distance travelled by train A since 1 pm

sB = distance travelled by train B since 1 pm

Hence,

sA = 70 t

sB = 50 t

When they met:

sA + sB = 480

70t + 50t = 480

120t = 480

t = 480/120 = 4 hours

Therefore, the met at 5 pm. At that time, train A has travelled 5 hours and its position is:

distance = 70 x 5 = 350 miles from its starting point.

Your question seems incorrect, most probably the correct question was:

Two trains heading toward each other from 550 miles apart one leaves at noon with a speed of 70 mph and the other leaves at 1 with a speed of 50 mph when they meet how far are they from train a starting point

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Answer:

Interquartile range = 24

Step-by-step explanation:

First we need to put the sequence in order from lowest to highest.

0, 1, 3, 5, 21, 25, 45

5 is the median and then from 5 to 0 we need to find the lowest interquartile in between it which is 1.

Highest interquartile from 5 to 45 finding the middle will be 25.

Interquartile range = highest interquartile - lowest quartile

25-1 = 24

1. Statement: True

Inverse: True

Contrapositive: True

Converse: True

2. Statement: True

Inverse: True

Contrapositive: True

Converse: True

3. Statement: True

Inverse: True

Contrapositive: True

Converse: True

(i)

Statement: If the difference x - y is even, then x and y are also even.

Inverse: If x and y are not even, then the difference x - y is not even.

Contrapositive: If x and y are not even, then the difference x - y is not even.

Converse: If x and y are even, then the difference x - y is even.

Statement: If a divides b or a divides c, then a divides bc.

Inverse: If a does not divide b and a does not divide c, then a does not divide bc.

Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.

Converse: If a divides bc, then a divides b or a divides c.

Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.

Inverse: If x^2 < 100 or x < 0, then x < 10.

Contrapositive: If x^2 < 100 or x < 0, then x < 10.

Converse: If x ≥ 10, then x^2 ≥ 100.

(ii)

For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

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The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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Answer:

2;1  It shows 2 on the reactant side and it doesn't have a 2 next to it in the product side

Step-by-step explanation:

sorry if that didnt help you

In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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