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alukav5142 [94]
2 years ago
6

The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They

know there will also be guests stopping by who may have come from other parties. For ordering​ purposes, they will count each of these​ "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with 45 ​drop-in guests?

Mathematics
1 answer:
amm18122 years ago
5 0

Answer:

A Maximum of 60 Pieces of Fried Chicken

Step-by-step explanation:

32 pieces ÷ 25 guests = 1.28 pieces per guest.

Therefore, 1.28 pieces per guest × 45 guests = 57.6 pieces of Fried Chicken should be ordered. (60 Pieces instead, for accuracy)

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A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length
Soloha48 [4]
Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm² 
a = 169.74cm

The height of the tent is 169.74 centimeters. 

6 0
3 years ago
How many solutions does this system of equations have? Use either the substitution method or the elimination method. −2x + 4y =
Katen [24]
-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6 
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
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-16=0
Which is false. 

Answer: No solution 
7 0
3 years ago
Need help understanding the formula
ololo11 [35]

For this case we have the following equation:

H (t) = -16t ^ 2 + vt + s

Where,

t: time

v: initial speed

s: initial height

Substituting values we have:

H (t) = -16t ^ 2 + 15t + 4

By the time the ball hits the ground we have:

-16t ^ 2 + 15t + 4 = 0

From here, we clear the value of time:

Using the quadratic equation we have:

t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}

Doing the calculations we have:

t1=-0.217\\t2=1.154

Discarding the negative root, we have that the time is:

t=1.154

Answer:

it takes the ball to hit the floor about:

1.15 seconds



6 0
3 years ago
Read 2 more answers
The base of a rectangular prism is side is 7 and 5 inches long height is 10 inches what are two equations to find volume
gogolik [260]

Answer:

350 cubed inches

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, we know the formula for volume is L*H*W

L=7 in

H=5 in

W=10 in

7*5*10=350 cubed inches

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

5 0
3 years ago
Jon ran around a track that was 1/8 of a mile long,he ran around the track 24 times,how many miles did Jon run
Sonbull [250]
Hi there 

So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.

Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:

total distance = 24 Lap (1 mi / 8 Lap) total distance = 24/8 total distance = 3

6 0
3 years ago
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