Points A, B, and C are collinear. Point Bis
between A and C.
If AC = 45, AB = BC = 4x - 9, find x.
Helppo

A compound inequality that represents the leg lengths of the cyclists the shop 18 ≤ 0.6x ≤ 26.

For the given question;

Let the cyclist's legs length be 'x'.

Then 0.6 times of cyclist's legs length will be 0.6x.

Now, the condition is;

The height ranging for the bikes is 18 inches and 26 inches.

It means the height of cyclist's legs length must be greater or equal to this value.

Thus,

18 ≤ 0.6x

And the maximum height of bike is 26 inch.

Thus, cyclist's legs length must be less than or equal to this length.

0.6x ≤ 26

Combining the two;

18 ≤ 0.6x ≤ 26 is the requires compounded inequality.

Thus, for, the value of x such that the range of the leg length lies between the 18 and 26 including both, the bike is provided otherwise NOT.

To know more about the compound inequality, here

https://brainly.com/question/1485854

#SPJ9

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

To know more about Fraction on:

https://brainly.com/question/10708469

#SPJ1

Answer:

Count how many times the numerator goes over the denominator.

11/3 = 3 2/3

Answer:

Dia's age is 6.

Step-by-step explanation:

Tia's age= d

Dia's age= d-6

Therefore, after 10 years,

Dia's age= 2/3 Tia's age

Hence,

d-6+10=2/3(d+10)

d+4=2/3(d+10)

3/2(d)+4=d+10

3/2(d)-d=10-4

3d/2-2d/2=6

d/2=6

1/2(d)=6

d=6×2

d=12

Therefore,

Dia's age=d-6

=12-6

=6 yrs old

Answer:

6 years old

Step-by-step explanation:

Answer: constant of proportionality

Explanation: Assuming that we have two proportional quantities; one is x and one is y. If you know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

Learn more about division here:

https://brainly.com/question/29401139

#SPJ1

Answer:

p = 6.95 + (0.95 × t)

Step-by-step explanation:

A function rule explains how to convert an input value (x) into an output value (y) for any given function.

To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.

Answer:

a10 = 16

Explanation:

The arithmetic sequence is defined by the equation:

To find the 10th term in the sequence, substitute 10 for i:

Then simplify:

The tenth term in the sequence is 16.

Answer:

s = 4.5 cm

l= 3.75 cm

Step-by-step explanation:

Mathematically, when two shapes are similar, the ratio of their corresponding sides are equal

According to this rule, we have it that;

4/6 = 3/s

4 * s = 3 * 6

4s = 18

s = 18/4

s = 4.5 cm

Similarly;

4/5 = 3/l

4 * l = 5 * 3

4l = 15

l = 15/4

l = 3.75 cm

If the length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, The equation for this scenario where "x" represents the width is 2x + 2 (x +19 ) = 46  and the width is 2 feet.

Given data :

Length of a rectangle = 19 feet

Perimeter = 46 feet

Perimeter formula: 2l+2w=P

Let x represent the width

Hence,

2x + 2 (x +19 ) = 46

2x + 2 x +38 = 46

Collect like terms

4x  = 46 -38

4x = 8

Divide both side by 4x

x = 8/4

x = 2 feet

Therefore the equation that was used to find the width  is  2x + 2 (x +19 ) = 46  while the width is 2 feet.

Learn more about width here: https://brainly.com/question/25855344

#SPJ1

Answer: 44 cm

Step-by-step explanation:

P=2(l+w)=2·(15+7)=44

The fractional coverage for a Langmuir adsorption at a pressure of 4.9 kPa and an equilibrium constant of 0.2 kPa^(-1) is 0.098.

In a Langmuir adsorption, the fractional coverage represents the proportion of surface sites that are occupied by adsorbate molecules. It is calculated using the equation:

θ = K * P / (1 + K * P)

Where:
- θ is the fractional coverage
- K is the equilibrium constant
- P is the pressure

In this case, the pressure (P) is 4.9 kPa and the equilibrium constant (K) is 0.2 kPa^(-1). Plugging these values into the equation, we have:

θ = 0.2 * 4.9 / (1 + 0.2 * 4.9) = 0.098

Therefore, the fractional coverage is 0.098, indicating that approximately 9.8% of the surface sites are occupied by adsorbate molecules.

Know more about Langmuir adsorption here:

https://brainly.com/question/29679442

#SPJ11

Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

Visit here to learn more about sequential search algorithm:

brainly.com/question/7284602

#SPJ11

Answer:

2K

Step-by-step explanation:

-k+3k

= 3k-k

= 2k

Given the equations

x + y = 5----------------------(1)

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

Subtract equation (2) from (1)

x - x -3y - y = 3 - 5

-4y = -2

Divide both -4

Substitute y = 1/2 into equation (1)

x + y = 5

Hence, the solution to the equations is

We have proven that if A B = B C, then A C = 2 B C. The equation A C = B C shows that A C and B C are equal, confirming the statement.

To prove the given statement "If A B = B C, then A C = 2 B C," we can use the transitive property of equality.

1. Given: A B = B C
2. Multiply both sides of the equation by 2: 2(A B) = 2(B C)
3. Distribute the multiplication: 2A B = 2B C
4. Rearrange the terms: A C + B C = 2B C
5. Subtract B C from both sides of the equation: A C = 2B C - B C
6. Simplify the right side of the equation: A C = B C

Therefore, we have proven that if A B = B C, then A C = 2 B C. The equation A C = B C shows that A C and B C are equal, confirming the statement.

To know more about proven visit;

brainly.com/question/27835051

#SPJ11

The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.

Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:

The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272

If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272

Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708

Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.

For more such questions on probability

https://brainly.com/question/25870256

#SPJ11

Answer:4x2

Step-by-step explanation:

Step-by-step explanation:

x+48=180

x=180-48

x=132

hope this helps you

have a nice day:)

Answer:

angleYXZ+angleYXW=180(being linear pair)

or,48+x=180

or,x=180-48

or,x=132

Step-by-step explanation:

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Answer:

1. How to Solve using Algebra

Make both equations into "y =" format.

Set them equal to each other.

Simplify into "= 0" format (like a standard Quadratic Equation)

Solve the Quadratic Equation!

Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers.

Algebraic method is more easy to do

2. linear functions have constant first differences. quadratic functions have constant second differences. exponential functions have a constant ratio.

Answer:

A.

I hope it helps

There were the most observations of female tokoeka kiwis in the given frequency table so option (A) will be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The frequency of an occurrence or a value is the number of times it happens.

Given the frequency table of kiwi birds with their gender.

Number of female tokoeka kiwis = 44

Now if we look at the table there is none of any bird that is greater than 44 which means it is the most observations in the research.

Hence  "There were the most observations of female tokoeka kiwis".

To learn more about the frequency table,

brainly.com/question/12576014

#SPJ2

Step-by-step explanation:

If triangle is ~

the ratio

m/10 = 2/4

m/10 = 1/2

m = 1/2 × 10

m = 5

Probability of randomly selecting a tree or an insect = 3/5

Total number of flashcards, n(Total) = 30

Number of insects, n(Insects) = 10

Number of trees, n(Trees) = 8

Probability of randomly selecting a tree, P(tree) = 8/30

Probability of randomly selecting an insect, P(insect) = 10/30

Probability of randomly selecting a tree or an insect = P(tree) + P(insect)

Probability of randomly selecting a tree or an insect = 8/30 + 10/30

Probability of randomly selecting a tree or an insect = 18/30

Probability of randomly selecting a tree or an insect = 3/5

Part 1: An increase in the price of fertilizer per pound will affect the supply curve for avocados.

The supply function for avocados is given by Q = 58 + 15p - 20pf, where p is the price of avocados and pf is the price of fertilizer. When the price of fertilizer rises by $1.60 per pound, it means that the value of pf in the supply function increases by $1.60. Consequently, the equation for the new supply curve becomes Q = 58 + 15p - 20(pf + 1.60). This adjustment reflects the decrease in supply resulting from the higher cost of production due to the increased fertilizer price.

Part 2: To determine how the supply of avocados changes in response to the price increase of $1.60 per pound of fertilizer, we need to evaluate the change in quantity supplied (ΔQ) at each price level. By substituting the new value of pf = original pf + $1.60 into the supply function, we can find the difference in quantity supplied.

For example, if the supply of avocados at a particular price was initially Q1, the new supply with the increased fertilizer price would be Q2. The change in supply can be calculated as ΔQ = Q2 - Q1, expressed in avocados per month. This value will indicate the magnitude and direction of the supply shift resulting from the change in fertilizer price.

The supply curve for avocados is influenced by the cost of production, including the price of inputs like fertilizer. When the price of fertilizer increases, it directly affects the production costs for avocado growers. The supply function reflects this relationship by incorporating the price of fertilizer (pf) as a factor.

As the price of fertilizer per pound rises, the term -20pf in the supply equation causes a decrease in the quantity supplied at each price level. This implies a leftward shift of the supply curve, indicating a reduction in the overall supply of avocados in the market. The magnitude of the shift can be determined by calculating the change in quantity supplied (ΔQ) using the new value of the fertilizer price. The supply curve is dynamic and changes in input prices can lead to significant shifts in the quantity of avocados supplied.

Learn more about curve here:
https://brainly.com/question/32535381

#SPJ11

The probability is approximately 0.9167 or 91.67%.

To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.

There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).

Now let's determine the favorable outcomes (sums less than or equal to 10):

When the sum is 2: There is only one combination (1 + 1).

When the sum is 3: There are two combinations (1 + 2 and 2 + 1).

When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).

When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).

When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).

When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).

When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).

When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).

When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).

Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.

Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:

Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.

So, the probability is approximately 0.9167 or 91.67%.

Learn more about  probability   from

https://brainly.com/question/30390037

#SPJ11

To determine how many packs of lashes the company needs to sell to make a profit, we need to use the given information to create an inequality with a variable. Let's call the number of packs of lashes the company needs to sell "x."

We know that the company made a profit of $50,000 last year and they want to make more than that this year. So, we can set up the inequality:

$50,000 + $5,000 + ($12 * x) > $50,000

The first two terms represent the profit the company made last year and this year, respectively. The third term represents the profit the company will make from selling x packs of lashes at $12 per pack.

To solve for x, we can simplify the inequality:

$12x > $50,000 - $50,000 - $5,000
$12x > -$5,000
x > -$5,000 / $12

Since we cannot sell a negative number of packs of lashes, we can ignore the negative sign and round up to the nearest whole number:

x > 417

Therefore, the company needs to sell at least 418 packs of lashes to make a profit greater than $50,000.

To learn more about variable click here: brainly.com/question/27168520

#SPJ11

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

Learn more about Compound interest here: brainly.com/question/13155407
#SPJ11

Answer: 11

Step-by-step explanation: