there are 279 students going on a field trip to an art museum. they are going on buses that hold 24 students each.
How many buses are needed? How many students will ride on the bus that isn't full? Show your work.

The required sale for the year is given as $833,333.34.

Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34

Thus, the required sale for the year is given as $833,333.34.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

Fish Population The population of a certain species of fish has a relative growth rate of 1.2 %per year. It is estimated that the population in 2000 was 12 million. (a) Find an exponential model  for the population tyears after 2000 . (b) Estimate the fish population in the year 2005  (c) Sketch a graph of the fish population.

Step-by-step explanation:

Answer:

You have to have the number of items you payed for and know what numbers your calculating at checkout

Step-by-step explanation:

Understanding of basic mathematics is important in order to carry on successful daily business operations of merchandising.

Step-by-step explanation:

A good mathematical understanding is beneficial for sharpening skills and improving handling of calculations with accuracy and speed.

To be a good and successful merchandiser you must understand math and performing skills like accuracy and speed both.

Important points :

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Answer:

108.04 grams

Step-by-step explanation:

Answer:  108.04

Step-by-step explanation:

The length of the line segment GI is 31 units.

The length of GI is 5x + 1. The actual length of the line segment GI can be found as follows:

Therefore,

GH + HI = GI

GH = x + 10

HI = 3x - 3

GI = 5x + 1

Therefore,

GI = x + 10 + 3x - 3

5x + 1 = x + 10 + 3x - 3

5x + 1 = 4x + 10 - 3

5x + 1 = 4x + 7

5x - 4x = 7 - 1

x = 6

Therefore,

GI = 5x + 1 = 5(6) + 1 = 30 + 1 = 31 units

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Looks like the series is

\(\displaystyle\sum_{k=1}^\infty\left(\frac4{\sqrt{k+5}}-\frac4{\sqrt{k+6}}\right)\)

This series has n-th partial sum

\(S_n=\displaystyle\sum_{k=1}^n\bullet\)

(where \(\bullet\) is used as a placeholder for the summand)

\(S_n=\displaystyle\left(\frac4{\sqrt6}-\frac4{\sqrt7}\right)+\left(\frac4{\sqrt7}-\frac4{\sqrt8}\right)+\cdots+\left(\frac4{\sqrt{n+4}}-\frac4{\sqrt{n+5}}\right)+\left(\frac4{\sqrt{n+5}}-\frac4{\sqrt{n+6}}\right)\)

In each grouped term, the last term is annihilated by the first term of the next group; that is, for instance,

\(\displaystyle\left(\frac4{\sqrt6}-\frac4{\sqrt7}\right)+\left(\frac4{\sqrt7}-\frac4{\sqrt8}\right)=\frac4{\sqrt6}-\frac4{\sqrt8}\)

Ultimately, all the middle terms will vanish and we're left with

\(S_n=\dfrac4{\sqrt6}-\dfrac4{\sqrt{n+6}}\)

As \(n\to\infty\), the last term converges to 0 and we're left with

\(\displaystyle\sum_{k=1}^\infty\bullet=\lim_{n\to\infty}S_n=\frac4{\sqrt6}=\boxed{2\sqrt{\dfrac23}}\)

Answer:

The construction is a parallel line to a given line  from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line

Step-by-step explanation:

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

135

Step-by-step explanation:

15/100 × 900 = 15 × 9 = 135

Answer:

135

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

7/10 x 2/6

= 14/60

= 7/30

So, the answer is 7/30

The values of x  and y in the geometric progression are 10 and 20

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

5, x, y, and 40

To calculate the values of x and y, we have

x/5 = 40/y

Cross multiply

So, we have

xy = 200

Set x = 10

So, we have

10y = 200

This gives

y = 20

So, we have

10/5 = 40/20 = 2 --- true

Hence, x is 10 and y is 20

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Answer:

18

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

Answer:

-236

Step-by-step explanation:

Step 1 (plug in x and y): \((2)(6)(2)-(8)(6)(5)-(2)(5)(2)=\)

Step 2 simplify): \((24)-(240)-(20)\)

Step 3 (evaluate): \(-236\)

Answer:

3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

11/10 or 1 1/10

Step-by-step explanation:

You can make both equations into improper fractions.

33/10-22/10=11/10

Step-by-step explanation:

u can turn them into improper fraction and then find the lcm....when u get ur ans u can turn tht into a mix fraction

33/10 - 11/5

33/10-22/10=?

hope u understand

Answer:

Low rope course = $19

High rope course = $95

Step-by-step explanation:

Let H denote the price of the high rope course and L the price of the low rope adventure.

The following system can be modeled from the given information:

\(5L=H\\11L+18H=1,919\)

Replacing the first equation into the second gives us the price of the low rope course:

\(11L+18*(5L)=1,919\\L=\frac{1,919}{101}\\L=\$19\)

Now we can determine the price of the high rope course:

\(H=5*19\\H=\$95\)

The low rope course costs $19 and the high rope course costs $95.

Answer:

If you are working with equilateral triangles, divide 180 by three to find the value of X. All of the angles of an equilateral triangle are equal. Solve for X in interesting lines by finding the value of one adjacent angle and subtracting it from 180 degrees.

Step-by-step explanation:

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

Answer: 3/20 or .15

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Answer:

the answer is b

step-by-step explanation:

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above3\)

                      If two lines are perpendicular to each other, their slopes

                     are negative inverses of each other.

                     Thus,

                    \(\boldsymbol{\sf{Slope\:of\:this\:line=4}}}\)

                    \(\boldsymbol{\sf{Negative \ Inverse=-\displaystyle\frac{1}{4}}}\). See how this works?

                    We took 4, then took its opposite, and flopped that over

\(\orange\hspace{300pt}\above3\)

Definition-:

Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.

Answer:

112cm³

Step-by-step explanation:

Let us ignore the bottom part of the figure and first find only the volume of the cuboid at the top

from the figure we know that

length of the cuboid is 10 cm

Width is 2 cm

height is 5 cm

now the formula for Volume of cuboid is Length×Width×Height

so,

Volume of the Upper Cuboid = 10×2×5= 100cm³ ---(1)

Now we will ignore the cuboid on top and find the volume of the one at the bottom

From the figure, we know that its dimensions are

length = 2cm

height = 3cm

width = 2cm

Volume of the lower cuboid = 2×2×3 = 12cm³ ---(2)

Adding (1) and (2)

100cm³ + 12 cm³ = 112cm³

Therefore the volume of the given figure is 112cm³

The volume of the box is 112 cm³.

We have,

The figure can be considered as two boxes.

Now,

One box:

Volume.

= Length x Width x height
= 10 x 2 x 5

= 100 cm³

Another box:

Volume.

= Length x Width x height
= 2 x 2 x 3

= 12 cm³

Now,

The volume of the box.

= 100 + 12

= 112 cm³

Thus,

The volume of the box is 112 cm³.

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6.665 grams of the 13 grams remain after 8 hours.

The decay equation for the 13 grams of iron-52 is:

\(N(t) = 13g*e^{(-ln(2)/8.3h)*t}}\)

Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

\(N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g\)

So 6.665 grams of the 13 grams remain after 8 hours.

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