A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 students at a time. How many tour guides are needed so all 83 students are able to participate in a guided tour of the aquarium

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-2-6)^2+(4-(-2))^2}[/tex]

[tex]d = \sqrt{(-8)^2+(4+2)^2}[/tex]

[tex]d = \sqrt{64+(6)^2}[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d = \sqrt{100}[/tex]

[tex]d = 10[/tex]

Answer:

10 units

Step-by-step explanation:

( x1, y1) =A(6,-2)

(x2, y2) =B(-2,4)

Using distance formula,

AB ^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-2-6)^2 +(4+2)^2

=64+36

=100

Therefore, AB=10 units

[tex]\frac{6}{2\sqrt{3}} + \sqrt{6} + \sqrt{6}\sqrt{3} + \sqrt{2} - \frac{4\sqrt{3}}{\sqrt{6}} - \sqrt{2}\\\frac{3}{\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{3}\sqrt{6}}{\sqrt{6}\sqrt{6}} - \sqrt{2}\\\frac{3\sqrt{3}}{\sqrt{3}\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{18}}{6} - \sqrt{2}\\\frac{3\sqrt{3}}{3} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{2\sqrt{18}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{3^2 \cdot 2} + \sqrt{2} - \frac{2\sqrt{3^2 \cdot 2}}{3} - \sqrt{2}\\[/tex]

[tex]\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{2 \cdot 3\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{6\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - 2\sqrt{2} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{2}[/tex]

Answer:

It will take 3 days for their bird feeders to contain the same amount of bird seed

Step-by-step explanation:

Let the number of days it will take their bird feeder to contain the amount of bird seed be x

For Edith, the amount of birdseeds that will be left after x days will be;

4 1/2 - 3/4(x)

= 9/2 - 3x/4

For June, the amount of birdseeds that will remain after x days will be;

3 - 1/4(x)

= 3 - x/4

Since after x days, the amount of birdseeds will be equal;

Mathematically;

9/2 - 3x/4 = 3 - x/4

Let’s work with decimals to make things easier;

4.5 - 0.75x = 3 - 0.25x

4.5 -3 = -0.25x + 0.75x

1.5 = 0.5x

x = 1.5/0.5

x = 3

Answer: No solutions (C)

Explanation: The two lines have the same slope but different Y intercept this means they will increase/decrease at the same rate but since they start at different locations on a graph, they will never touch making it parallel

Answer:

See Below

Step-by-step explanation:

Ok, so you got:

The sum of twice a number and 5 is at most 15

Sum means we are going to add two things together, soo . .

___+___

Is at most means we are going to have:

___+___≤ ___

Twice a number  and 5= 2x(a variable)  + 5

(I'm going to use a as my variable, use whichever you like or are given)

2a + 5 ≤ __

Which will result in being greater than or equal to 15

So, your final equation would be:

2a + 5 ≤ 15

Answer:

y = 2x

Step-by-step explanation:

Coordinates:

(1, 2)

(0, 0)

Slope = 2/1 = 2

y = mx + b

2 = 1 * 2 + b

2 = 2 + b

b = 0

So:

y = 2x

Hope this helped!

Let me know if I've done something wrong :)

Answer: 3 hours

Step-by-step explanation:

25 x 3 = 75

90 - 75 = 15 ( aka 1 service call)

Hope this helps!

Answer:

3 hours

Step-by-step explanation:

$25(3 hours)=$75

$75+$15=$90

Answer:

30 ft²

Step-by-step explanation:

The formula to find the area of a rectangle is:

Length x Width

Answer:

yes

Step-by-step explanation:

three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)

Answer:

equation of the line passing through two points

we can chose two points from the graph

I took (5,0) and (0,5)

x-x1/x2-x1=y-y1/y2-y1

x-5/0-5=y-0/5-0

(x-5)*5=y*(-5)

x-5=-y

y+x=5

Step-by-step explanation:

range of the function is [- infinite, infinite]

if x is determined as R number then even range of the function will be R ,real numbers.

Answer:

-20= 5y+ -2

Step-by-step explanation:

all you have to do it flip it

Answer:

Ummmmmmmmmm

Step-by-step explanation:

Answer: 960 calories in 6 cups of cereal

Step-by-step explanation:

Answer:

Answer:

8-2x

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

Let the number of hours worked = x

Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours.

$500 + $100 × x

500 + 100 × 1

After the first 2 hours = $500 + $100

= $600

After the first 3 hours = $500 + $100 × 2

= $700

Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours.

$620 + $70 × x

620 + 70x

After the first 3 hours

= $600 + $70

= $670

What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings?

The Inequality is given as:

Cathy's Catering for < Delicious Doings

620 + 70x < 500 + 100x

Collect like terms

620 - 500 < 100x - 70x

120 < 30x

120/30 < x

4 < x

Therefore, the most amount of hours the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings is 3 hours

Answer:

28.89 percent

Step-by-step explanation:

45-32 is 13 and 13 is 28.89 percent of 45

Hope this helped!

Answer:

$4,351.48

Step-by-step explanation:

This is because if you take 6,000 and use the part over whole method, 6,000 x 100 = 600,000 divided bt 105.5 = 5,687.20, continue that with the same numbers, except you replace the part with the last answer you got.

6,000 after 6 months

5,687.20 after 5 months

5,390.72 after 4 months

5,109.68 after 3 months

4,843.30 after 2 months

4,590.81 after 1 month

4,351.48 as the initial deposit.

Answer: image below is the answer

Step-by-step explanation:

$1.80 + $1.20 = $3.00  <  $1.86 + $1.23  <  $2.00 + $1.50 = $3.50

Double these supplies will cost between 2 × $3.00 and 2 × $3.50.

2 x $1.23 = $2.46

Think about more items Kira could buy so that her total cost is more than $4 but less than $6.

$1.80 + ($1.10 x 2) = $4.00  <  $1.86 + ($1.23 x 2)  <  $2.00 + ($1.25 x 2) = $4.50

Think about more items Ida could buy so that her total cost is more than $8 but less than $9.

Julio: $6 - $7

one paintbrush

two drawing pads

Kira: $4 - $6

two pencils

one drawing pad

Ida: $8 - $9

two pencils

three drawing pads

Answer:

37.5

Step-by-step explanation:

you take 25 + 22.5 = 47.5 then you -10 and you get 37.5! Hope this helps!

Answer:

62 degrees

Step-by-step explanation:

the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62

Answer:

[tex]w=\frac{h}{m} -\frac{3}{3}[/tex]

I hope this is what you were asking for :)

The mean absolute deviation for the class is,  10.96

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given,

Student Score

Tom 89

Jon 72

Sue 98

Jill 78

Zeke 62.

Therefore, The mean of the data set is,

= 399/5

= 79.8.

Now,

Total of data value - mean = 54.8

54.8/5

= 10.96

Q. Five students in a small class made the test scores shown in the table.

Student Score

Tom 89

Jon 72

Sue 98

Jill 78

Zeke 62

What was the mean absolute deviation for the class?

A) 10.96

B) 35.44

C) 52.87

D) 79.80

learn more about mean absolute deviation here :

https://brainly.com/question/10528201

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3 - 4x= -89 is the equation i hope it's right