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Pepsi [2]
3 years ago
8

There are 1,348 trays of food at the royal ball. If the trays of food are spread out evenly onto 8 different tables, how many tr

ays of food will there be on each table
Mathematics
2 answers:
Xelga [282]3 years ago
6 0
1348 divided by 8 = 168.5 trays onb each table.
iogann1982 [59]3 years ago
4 0
The answer is 168.5 because you divide 1,348 with 8 and get 168.5
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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
2 years ago
which inequality does the graph represent??? if you could answer that would greatly be appreciated (∧_∧)
tiny-mole [99]
When there is a dotted line it means its either this symbol < or this one >. The y-intercept is 25. Now go up 4 spaces and one space to the left that is your slope. We call that "Rise over Run". So the last choice is your final answer.
I hope this helps love! :)
8 0
3 years ago
Can someone help me with 10 math questions (:
olga2289 [7]
So volue of a cone=1/3 times (area of base[which is a circle]) times height

area of base=area of circle=pi time radius^2
area=pi times 5^2
area=pi times 25=25pi

1/3 times 25pi times 18
25pi times 18 times 1/3
25pi times 18/3
25pi times 6=150pi


the answer is 150π in^3 or 150π cubic inches or C

( to solve, aprox pi to 3.141592 an multiply 150 by 3.141592=471.239 in^3)
3 0
3 years ago
Need the answer for number 7 ASAP!!!!
cupoosta [38]
B is the answer because 60/ 12.50 equals 12/2.5 
3 0
3 years ago
Can someone who's good at geometry pls help with my Khan Academy lil brainlist you
gtnhenbr [62]

Answer:

I guess I can!!

Step-by-step explanation:

3 0
2 years ago
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