At a summer camp, the campers are divided into groups. Each group of 16 campers requires 2 cabins.

​How many cabins are needed for 112 campers?

Answer:

504 in²

Step-by-step explanation:

The area of a kite is given by :

(a * b) / 2

Where a and b are the width and height of the kite :

Width = 24 inches ; height = 42 inches

Hence,

Area of kite = (24 * 42) / 2

Area of kite = 24 * 21

Area of kite = 504 in²

Answer:

7.2 and 4.8hrs

Step-by-step explanation:

Given the ratio it took them to finish work as 3:2

Total ratio = 3+2 = 5

For the larger ratio;

3/5 *12

= 36/5

= 7.2hrs

For the shorter ratio;

2/5 * 12

= 24/5

= 4.8hrs

Hence the first worker worked for 7.2hrs while the second was 4.8hrs

Answer:A

Step-by-step explanation:

3/4*22/7*14^2

=3/4*22/7*14*14

=3*11*2*7

=33*2*7

=66*7

=462

Answer:

462

Step-by-step explanation:

Answer:

m ACG = 17

x = 24

Step-by-step explanation:

[tex]1)\ m\ ACG = x - 7 = 90 - 73 = 17[/tex]

[tex]2)\ x - 7 = 17 => x = 17 + 7 = 24[/tex]

Answer:

17 is the answer.

Step-by-step explanation:

There are two ways to do this problem:

a. plug in each value and multiply it by 3. 3x15 is 45, 3x16 is 48, and 3x17 is 51, which is your answer.

b. divide both sides by three and you would get g=17.

Answer:

Step-by-step explanation:

Can't sketch it, obviously, but I can help you understand how to do that on your own. The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates for the center of the circle. The super-important thing to remember here is that the standard form is ALWAYS (x-h)^2 (the minus being the important part!). That means that if the expression is

[tex](x-2)^2[/tex] for example, it can be rewritten to be understood as

[tex](x-(+2))^2[/tex] where the positive implies movement to the right. If the expression is

[tex](x+2)^2[/tex] for example, it can be rewritten to be understood as

[tex](x-(-2))^2[/tex] where negative is indicative of movement to the right. The location of the center of a circle will help you graph it.

In our circle, we have a -1 in with the x and a +3 in with the y. The -1 indicates movement to the right 1 unit (positive 1), while the +3 in with the y indicates movement to the left 3 units (-3).  Therefore, the movement of the circle also indicates the coordinates of the center: (1, -3).

The radius is found in the square root of the number to the right of the equals sign. Ours is a 4; therefore, the radius is 2.

To draw this circle, locate the point (1, -3) on your graph paper and put a dot. Then count directly to the right 2 units and make a dot, directly to the left 2 units and make a dot, directly up 2 units and make a dot, and directly down 2 units and make a dot. Connect the outer 4 dots in as smoothly as possible to get a circle. And there you go!

Answer:

a

Step-by-step explanation:

square formula for area is [tex]s^{4}[/tex]

Answer:

V(t) = 38000(0.84)^t

Step-by-step explanation:

Answer:

C. 6

May the 4th be with you :)

Answer:

x = 6

4(8-6)=8

4(2)=8

8=8

Answer: The required point = (1.857,8.643)

Step-by-step explanation:

Equation of circle with center (h,k) and radius r: [tex](x-h)^2+(y-k)^2=r^2[/tex]

Given: Radius = 5 , center = (0,4)

Eqation of circle: [tex](x-0)^2+(y-4)^2=5^2[/tex]

[tex]x^2+(y-4)^2=25[/tex]

[tex]x^2+(2.5x+4-4)^2=25[/tex]  [Using equation y = 2.5 x + 4  ]

[tex]x^2+(2.5x)^2=25[/tex]

[tex]x^2+6.25x^2=25[/tex]

[tex]7.25x^2=25[/tex]

[tex]x^2=3.44827586207[/tex]

[tex]x=1.857[/tex]

[tex]y= 2.5(1.857)+4[/tex]

[tex]=8.6425[/tex]

Hence, the required point = (1.857,8.643)

Answer:

look at the picture i have sent

Answer:

easy cut the hole shape into samller versions of the shapes and than at the end when u have all the numbers add them to the hart

Step-by-step explanation:

Answer

u=69

d=42

f=35

e=35

g=55

h=45

i=45

m=120

k=15

L=75

j=15

p=21

q=55

t=42

o=69

n=21

a=60

b=60

c=60

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the little squares in the corner mean its a right angle (90 degrees)

the two lines like in the op triangle mean the two angles downwards are the same.

angles in a semicircle add up to 180 degrees

3 lines mean all angles are the exact same

(Sorry i forgot 2 angles dont know which ones i forgot but with the info i gave you should be able to work those two out :)

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (10- -6)/(5 - -5)

    = (10+6)(5+5)

   = 16/10

   = 8/5

1.6

Step-by-step explanation:

change in y ÷ change in x

(10--6)=16

(5--5)=10

16÷10=1.6

Answer:

(-3,-5)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect.

They intersect at x=-3 y=-5

Answer:

55 times 5 is 275

Step-by-step explanation:

what's the other stuff

Answer:

Total number of ways of making the core committee = 3150

Step-by-step explanation:

Complete Question  

A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed?

Solution  

Total Faculty members = 6

Total Students = 10

Out of 6 faculty members, 2 will be chosen for the committee

While 4 students will be chosen out of 10 to be in the committee.  

Hence,  

Total number of ways of making the core committee = 6C2 * 10C4

= 15*210  

= 3150

Answer:

there is no picture

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

create a proportion:

(1/2÷3/5) = (x÷5/5)

cross-multiply to solve for 'x':

3/5x = 1/2

6x = 5

x = 5/6

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Ok so one hour is 1/1.

1/1 - 3/5 = 2/5

So Landon has 2/5 of an hour left.

Let's find out how much 1/5 of an hour is in the test.

1/2 ÷ 3 = 1/6

So 1/5 of an hour = 1/6 of the test.

1/6 * 2 = 1/3

1/2 + 1/3 = 5/6

Answer: 24 cubic units

The formula for a prism is l x w x h. So 4 x 2 x 3.

Hope it helps :)

slope = rise/run

rise = -3 ... move down 3 units

run = 4 .... move to the right 4 units

============================================

Work Shown:

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (-17-(-2))/(24-4)

m = (-17+2)/(24-4)

m = -15/20

m = -3/4 is the slope

----------------

It basically means "move down 3 units, and move to the right 4 units"

So, slope = rise/run = -3/4

rise = -3 = move down 3 units

run = 4 = move to the right 4

You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.

Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.

Answer: aₙ = 3 + 4ⁿ⁻¹

So the formula would be:

aₙ = 3 + 4ⁿ⁻¹

Where a₁ = 3

Common Ratio (r) = 4

And n = the term number that needs to be found out

Step-by-step explanation:

Let's check if the answer is right:

To find the 1st number in the term we can substitute 1 in for n in the equation:

a₁ = 3 + 4¹⁻¹

a₁ = 3 + 4⁰

a₁ = 3 + 1

a₁ = 4

And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct

Hope this helps!

Answer:

It would be A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is C because negative means it will be going down so it isnt A or B and you can see D has a curve up before it goes down so C is the best answer

hope this helps

Answer:

1

Step-by-step explanation:

The sum of probability of two complementary events is always equal to 1. This happens because the probability of a complementary event is always determined by deducting the probability of a given event from 1.

Answer:

8 mph

Step-by-step explanation:

45 minutes = 6 miles

1 hour = 8 miles

Answer:

87/25

Step-by-step explanation:

looked it up hope it helps

Answer:

3.48/1

Step-by-step explanation:

Answer:

The answer is 24 in my opinion

Step-by-step explanation:

1)1 2 3 4

2)1 2 4 3

3)1 3 2 4

4)1 3 4 2

5)1 4 3 2

6)1 4 2 3

Answer:

C-24

Step-by-step explanation:

Answer:

598

Step-by-step explanation:

800x0.93^4