Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the distance of Kassy's trip according to her map. Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

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At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost$11.00. One day between 3:00 PM and 9:00 PM, Joe sold 100 pizzas
and took in $848. How many more small pizzas than large pizzas did
Joe sell during that 6-hour period?
(A) 28
(B) 44
(C) 56
(D) 72

Answers

Answer:

Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

$l+s = 100\ \ \ Eqn\ 1\n11l+7.5s = 848\ \ \ Eqn\ 2$

From equation 1

$l = 100-s$

Putting in equation 2

$11(100-s)+7.5s = 848\n1100-11s+7.5s = 848\n-3.5s+1100 = 848\n-3.5s = 848-1100\n-3.5s = -252\n(-3.5s)/(-3.5) = (-252)/(-3.5)\ns = 72$

Putting s=72 in equation 1

$l+72 = 100\nl = 100-72\nl = 28$

How many more small pizzas means we have to find s-l

So,

s-l = 72-28 = 44

Hence,

Option B. 44 is the correct answer

A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.

Answers

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

$Height = 7in$

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

$a = 1in$ -- side length of the octagon

The area is then calculated as:

$Area = 2 * (1 + \sqrt 2)a^2$

So, we have:

$Area = 2 * (1 + \sqrt 2)* 1^2$

$Area = 2 * (1 + \sqrt 2)* 1$

$Area = 2 * (1 + \sqrt 2)$

Evaluate the square root

$Area = 2 * (1 + 1.414)$

$Area = 2 * (2.414)$

$Area = 4.828$

The volume is then calculated as:

$Volume = Height * Base\ Area$

$Volume = 7 * 4.828$

$Volume = 33.796$

The volume of the box is 100 cubic inches.

To find the volume of an octagonal prism, we need to know the area of the base and the height of the prism.

The area of an octagon can be calculated using the following formula:

Area of octagon = 1/2 * apothem * perimeter

where the apothem is the distance from the center of the octagon to one of its sides and the perimeter is the total length of all the sides of the octagon.

In this case, we don't know the apothem or the perimeter of the octagon, so we can't calculate the area of the base using the formula above. However, we can estimate the area of the base by drawing a square inside the octagon and a circle inside the square.

The square will have an area of 16 square inches and the circle will have an area of about 12.5 square inches. Therefore, the area of the octagon is somewhere between 12.5 and 16 square inches.

Since we are estimating the area of the base, we will use the average of 12.5 and 16 square inches, which is 14.25 square inches.

The volume of the box is calculated as follows:

Volume of box = Area of base * Height

Volume of box = 14.25 square inches * 7 inches = 100 cubic inches

Therefore, the volume of the box is 100 cubic inches.

For such more question on volume:

brainly.com/question/463363

#SPJ3

Compare 6×10 to the eighth power to 3×10 to the sixth power

Answers

Answer:

wowowo im not smart like that

Step-by-step explanation:YES

Equation that equals 69?

Answers

My solution to the problem is as follows:

69 = ((((6^2 * 10) + sqrt((5000*3) - 600)) / 4! ) * 4 ) - log(1 * 10^11)

Actually, there are a lot of equations that would yield to the number 69, I just made it complicated.

I hope my answer has come to your help. God bless and have a nice day ahead!

3x23=69 is the equation that has the sum 69

What is the simplest form of 9/24, 14/24, 10/15, 10/12,18/27 and 10/15?

Answers

S.F. of 9/24 = 3/8
S.F. of 14/24 = 7/12
S.F. of 10/15 = 2/3
S.F. of 10/12 = 5/6
S.F. of 18/27 = 2/3
S.F. of 10/15 = 2/3

Hope this helps!

1. 3/8
2. 7/12
3. 2/3
4. 5/6
5. 2/3
6. 2/3

I guess the third and last one is repeated. But, I wrote the answer anyways.
Hope this helps! :)

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is A. 3,072.
B. 288.
C. 24.
D. 64.

Answers

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
B. 288.

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