three consecutive integers have a sum of 72. find the integers

The time it takes for a city's population to quadruple, given a doubling time of 22 years, is 44 years since quadrupling requires two doublings of the population.

The question asks about the time it will take for a city’s population to quadruple given that its doubling time is 22 years. To find the time it takes for the population to quadruple, we need to understand that quadrupling the population means doubling it twice. Since the doubling time is 22 years, we simply need to multiply this time by 2 to get the time for the population to quadruple.

Therefore, the correct answer is 44 years (B). This is because:

First doubling: 22 years

Second doubling (to quadruple): 22 + 22 = 44 years

Final answer:

To find the depth of the ocean using the travel time of a signal and the speed of sound in seawater (1450 m/s), multiply the travel time (here, 2.5 seconds) by the speed of sound and then divide by two, as the signal travels the distance twice. In this case, the depth would be 1812.5 meters.

Explanation:

To calculate how deep the ocean is at a given point where a ship sends out a signal and receives it back after a certain time, you need to use the speed of sound in water and the time it takes for the signal to travel to the ocean bottom and back. Since the signal travels the distance twice, the depth can be found by dividing the total distance traveled by two.

Let's consider the example where the signal returns after 2.5 seconds. With the speed of sound in sea water being 1450 m/s, the total distance covered by the sound wave is the product of the speed of sound and the time taken which is 1450 m/s * 2.5 s. However, since this distance is the round trip, to find the depth of the ocean at that point, we need to divide the result by 2.

The calculation will look like this:

Answer:

The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths

Step-by-step explanation:

2.4(6.2-x)> - 4.5

6.2 can be written as 6 and 2 tenths

2.4 can be written as 2 and 4 tenths

4.5 can be written as 4 and 5 tenths

6.2 -x represents difference of six and 2 tenths and a number

multiplied with 2 and four tenths

Greater than can be represented as not less than negative 4  and 5 tenths

The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths

The Answer is C. The difference of 6 and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths

the answer is terms that have identical variable parts

I say it is the last one. I say that because it has the word Terms in it. I don't know for sure tho....

The total price of the television is $888.3

Answer:

Step-by-step explanation:

Yes the company can hire 6 carpenters and 12 pumbers

So first lets find out how much it costs to have 6 carpenter for $220 a day.

$220 × 6 = $1320  this is how much it cost to pay 6 carpenters for one day.

Now lets find how much it cost to 12 plumbers at $260 a day.

$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.

The total amount you have to pay to the workers is:

$3120 + $1320 = $4440

Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.

The construction company can hire 6 carpenters and 12 plumbers as the total cost of $4440 is within the $4500 budget, and the total number of workers hired is 18, meeting both the company's requirements.

The construction company wants to hire at least 18 workers and does not want to exceed a daily budget of $4500. To determine if the company can hire 6 carpenters and 12 plumbers, we must calculate the total cost of hiring these workers for a day. The cost C for hiring carpenters and plumbers can be represented by the equation C = 6($220) + 12($260), where $220 is the daily wage for a carpenter and $260 is the daily wage for a plumber.

Let's calculate the total cost:

The total number of workers would be 6 carpenters + 12 plumbers = 18 workers, which meets the requirement of hiring at least 18 workers. Since the total cost of $4440 is also within the $4500 budget, the company can indeed hire 6 carpenters and 12 plumbers.

1.48 because 38.48÷26 is 1.48

all you need to do is divide the numbers. 38.48 divided by 26 is $1.48. To check if this is correct multiply $1.48 by 26 and you will get 38.48.

glad I coud help :)

Your answer will be 2+\sqrt{3} will be your answer

Calculate total area by multiplying the length by the width:

40 ft x 18 ft = 720 square feet total.

Now subtract the area of the pool:

720 - 320 = 400 square feet for the deck.

To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Hope this helps!

Answer: C

Step-by-step explanation: The answer is C because:

You can use a lot of tricks to solve this problem. For divisibility of 2, you know that the number must be even to evenly divide by 2; 59,859 is not even, so you can scratch that out. For 3 and 9, there is a trick that says if the digits of a number add up to 3 and 9 respectively, then they are divisible by those numbers. The digits of 59,859 add up to 36, which is divisible by both 3 and 9, meaning that 59,859 is also divisible by 3 and 9. Lastly, for a number to be divisible by 5, it must end in 5 or 0, and for a number to be divisible by 10, the number must end in 0. 59,859 doesn't end in either of those giving you the final answer of:

B: 3, 9

.020 because it is 2 spots behind the decimal

When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor, add the numerators together and simplify if possible.

When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor to make the denominators the same. Finally, add the numerators together and simplify if possible.

For example, if you want to add 1/2 and 3/4, the LCD is 4. Multiply the numerator and denominator of the first fraction by 2 to get 2/4. Then, add the numerators together: 2/4 + 3/4 = 5/4. However, this fraction can be simplified to 1 1/4.

The 30th term of this arithmetic sequence is 3.5 pounds. This represents the weight of the cat food bag after removing 0.5 pounds of food daily for 30 days.

The subject of this question is mathematics, particularly, a problem related to sequences. In this case, the sequence consists of gradually diminishing weights of a bag of cat food. Initially, the bag weighs 18 pounds and then 0.5 pounds are removed daily to feed the cats.

To find the weight of the bag on the 30th day (or, in other words, the 30th term of the sequence), you would subtract half a pound for each day that has passed. This is an arithmetic sequence, where each term can be found using the formula: an = a1 + (n - 1)*d, with a1 being the first term (18 pounds), d being the common difference (-0.5 pounds), and n being the term number (30).

Substituting the known values into the formula, we get: a30 = 18 + (30 - 1)*(-0.5) = 18 - 29*0.5 = 18 - 14.5 = 3.5 pounds.

Therefore, the 30th term is 3.5 pounds. This represents the weight of the cat food bag after 30 days of removing 0.5 pounds of food daily.

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To find the 30th term of the sequence representing the weight of cat food remaining each day, we can use a formula. The 30th term represents the weight of cat food remaining after 29 days of removing 0.5 pounds each day.

This question involves finding the 30th term of a sequence where 0.5 pounds of food is removed from an initial weight of 18 pounds every day. To find the 30th term, we can use the formula:

nth term = initial weight - (n-1) x rate of removal

Substituting the values, we have:

30th term = 18 - (30-1) x 0.5

= 18 - 29 x 0.5

= 18 - 14.5

= 3.5 pounds.

The 30th term represents the weight of cat food remaining after 29 days of removing 0.5 pounds each day.

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First you need to figure out the formula for the line - this can be done using two obvious measurements in the plot (x,y): namely (0,0) and (2,50). The linear function that goes through these two points is [tex]y = 25x[/tex].

Now you can determine k (the function value for x=1) and that is [tex]k = 25\cdot1=25[/tex]

The meaning of k: you can find 25 grams of almonds in 1 cup of oat. (btw, if we were to take this literally it wouldn't make much sense - 1 cup of oat is 1 cup of oat and there is nothing else, but anyway).

Using a linear function, it is found that the value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

In this problem:

[tex]m = \frac{50 - 0}{2 - 0} = 25[/tex]

The equation is:

[tex]y = 25x[/tex]

When x = 1:

[tex]k = 25(1) = 25[/tex]

The value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

The point is labeled on the sketch of the graph given below.

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12) if x is 0, then it lies on the y-axis.  If y is 0, then it lies on the x-axis.

a) (0, 4) lies on y-axis

b) (-2, 0) lies on x-axis

c) (3, 0) lies on x-axis

d) (0, -1) lies on y-axis

13) multiply each of them out and add them together.  You will see that the first and last terms cancel, leaving you with the middle terms which each have a coefficient of 3.

3[xy(y - x) + yz(z - y) + xz(x - z)]

14) x³ - x

= x(x² - 1)

= x(x - 1)(x + 1)

15) Using synthetic division for 5x⁴ - x³ - 2x² + x + 9  ÷  x - [tex]\frac{1}{2}[/tex]

0.5   |  5      -1       -2          +1          +9

        | 0.5  2.75   0.875   0.5625   0.78125

          5.5  1.75     1.125     1.5625    9.78125

Remainder is: 9.78125

16) TRUE. This is known as the Triangle Angle Sum Theorem

17) Separate into two triangles, use Heron's formula to calculate the area for each triangle, then find their sum.

ΔABC: s = (6 + 7 + 9)/2 = 11, A = √(11)(5)(4)(2) ≈ 21

ΔCDA: s = (12 + 15 + 9)/2 = 18, A = √(18)(6)(3)(9) ≈ 54

ΔABC + ΔCDA: 21 + 54 = 75 cm

18) 3√45 - √125 + √200 - √50

 =  9√5   - 5√5   + 10√2 - 5√2

=        4√5           +      5√2

Answer:

the answer is B, as 200+10 over and over and 1000-15, causing them to meet at 520

Julie will have $520.00 and Briana will also have $520.00 in their accounts after 32 weeks.

Let's represent the number of weeks as x. Julie starts with $200 in her account and saves $10 each week, so the amount in her account after x weeks is given by the expression 200 + 10x. Briana starts with $1000 in her account and spends $15 each week, so the amount in her account after x weeks is given by the expression 1000 - 15x. To find out when they will have the same amount, we set the two expressions equal to each other and solve for x:

200 + 10x = 1000 - 15x

25x + 200 = 1000

25x = 800

x = 32

After 32 weeks, both Julie and Briana will have the same amount in their accounts. To find out how much money each will have, we substitute the value of x into one of the expressions. For example, using Julie's expression, we have:

Amount in Julie's account after 32 weeks = 200 + 10(32) = 200 + 320 = $520.00

Therefore, Julie will have $520.00 in her account after 32 weeks, and Briana will also have $520.00 in her account.

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8 + 6.2 + 4a - 9a

(8 + 6.2) + (4 - 9)a

14.2 - 5a is your answer.

Answer:

Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.

First, let's combine [tex]8[/tex] and [tex]6.2[/tex]

[tex]8+6.2=14.2[/tex]

[tex]4a-9a+14.2[/tex]

Now, combine the other two monomials.

[tex]4a-9a=-5a[/tex]

[tex]-5a+14.2[/tex] would be your answer.

Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.

The correct answer is 0.1224.

In order to find this, we need to first multiply these as if they have no decimal places.

51*24 = 1224

Now, we count the number of decimals in the original equation and move the decimal place that many times. Since there are 4 numbers after decimals in the original equation, we put 4 after in the answer.

.1224

a + b = -2

x + y = -2

4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)

substitute

4(-2) + 5(-2) = -8 - 10 = -18

Answer:

Cash price using complement method id $882.8

Step-by-step explanation:

When a vendor includes terms of 4/10, n/30 , the '4' represents 4% of the amount owed , the '10' represents 10 days, the 'n' represents net and the '30' represents 30 days.

So the terms 4/10, n/30 indicate that the buyer may take an early discount of 4% of the amount owed is remitted in 10 days instead of normal 30 days.

In other words, buyer can choose any one of the following:

1) Pay within 10 days and deduct 4% of the net amount owed.

2)Pay in 30 days and take no discount.

For finding cash price using complement method, we have to find the complement of discount percentage= 100-discount percentage=100-4=96

So cash price using complement method = net price X complement of discount percentage in decimals

                                                                     = 919.6 X 0.96

                                                                     = $882.8

f(x) basically means the function of x, which is y.

The question wants you to find f(2), so substitute 2 for x in the problem.

f(2) = 3(2) + 4

Multiply 3 and 2.

f(2) = 6 + 4

Add 6 and 4.

f(2) = 10

The value of f(2) for the given function is 10.

The given function is f(x) = 3x+4.

We need to find the value of the given function for f(2).

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Now, to find f(2):

Replace variable x by 2 and find the value of f(2).

That is, f(2)=3(2)+4=10

Therefore, the value of f(2) for the given function is 10.

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answer:  [tex]d = 4.2[/tex]

explanation:

[tex]-5.5(d-2)=-12.1[/tex]  | distribute the -5.5 into the parentheses

[tex]-5.5d + 11 = -12.1[/tex]  | subtract 11 and move it over to -12.1

[tex]-5.5d = -23.1[/tex]  | divide by -5.5

[tex]d = 4.2[/tex]  | final answer

hope this helps! ❤ from peachimin

-5.5(d - 2) = -12.1

-5.5d + 11.0 = -12.1    distributed -5.5 on the left side

           -11.0    -11.0

-5.5d           = -23.1

             [tex]\frac{-5.5d}{-5.5} = \frac{-23.1}{-5.5}[/tex]

               d = 4.2

Answer: d = 4.2

the correct answer is A) 45 minutes

Answer:

Option A, 45 minutes.

Step-by-step explanation:

In the graph attached line of the best fit passes through two points (27, 14) and (36, 22).

These are the points which are not the scatter points but lying on the line.

Let the equation of the line be y = mx + c

Where m = slope and c = y-intercept.

Since slope m = [tex]\frac{y-y'}{x-x'}[/tex]

                        = [tex]\frac{22-14}{36-27}[/tex] = [tex]\frac{8}{9}[/tex] = 0.88

This line passes through another point on x-axis (11,0).

So equation passing through (11,0) will be

0 = (0. 88) × 11 + c

c = -9.68

Finally equation of the line will be

y = 0.88x - 9.68

Now we have to find the time at which scored 30 points.

By putting y = 30 in the equation

30 = 0.88x - 9.68

x = [tex]\frac{39.68}{0.88}[/tex] = 45

Option A is the answer.

We have been given that there are about 1.61 kilometers in 1 miles.

Let x represent a distance measured in kilometers and y represent the same distance measured in miles.

We can set two equations from the given information as:  

[tex]x=\frac{1}{1.16}*y[/tex] (Number of kilometers in terms of number of miles)

[tex]y=1.61*x[/tex]  (Number of miles in terms of number of kilometers)

Therefore, [tex]x=\frac{1}{1.16} y[/tex] and [tex]y=1.61*x[/tex] will be our equations.

To relate a distance measured in kilometers and miles, two equations can be written: y = 1.61x and x = 0.62y.

To write equations that relate a distance measured in kilometers and the same distance measured in miles, we can use the conversion factor between kilometers and miles. Based on the given information, 1 mile is equivalent to 1.61 kilometers. So, the first equation would be: y = 1.61x, where x represents the distance in kilometers and y represents the distance in miles. To find the equation in the opposite direction, we can use the inverse of the conversion factor, which is 1 divided by 1.61. So, the second equation would be: x = 0.62y.

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Answer:

[tex]s=-1.5[/tex]

Step-by-step explanation:

Given the equation :

[tex]0.5s+1=7+4.5s[/tex]

the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.

[tex]1-7=4.5s-0.5s[/tex]

Solving for [tex]s[/tex] we have the following:

[tex]-6=4s[/tex]

[tex]\frac{-6}{4} =s[/tex]

[tex]-1.5 =s[/tex]

the answer is: [tex]s=-1.5[/tex]

16x 4 = 64 so thats the volume

We complete the square,

[tex]y=x^2+4x+11[/tex]

[tex]y = (x^2 + 4x + 4) + 11- 4[/tex]

[tex]y = (x+2)^2 + 7[/tex]

Answer: D