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docker41 [41]
3 years ago
10

A bowl is the shape of a hemisphere and made out of thick clay. The diameter of the outside bowl is 44.6 cm. And the diameter of

the inside bowl is 41.6 cm.
a) If the bowl is filled up to the top, find how much soup could it hold?
b) Calculate the volume of clay that is needed to make a single bowl?
c) Six bowls are to be packed in a box side by side. The boxes dimensions are 22.5 cm by 90 cm by 135 cm. Sawdust packing is put in the box. What volume of the sawdust packing is needed?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

Ive already explained this somebody else asked if you find it you will have the answer

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the
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Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

So, the total people enter the park:

x+y=333\\\\x=333-y\ \ \ ...(1)

Thus, the total amount collected of the admission fee:

1.50(x)+4(y)=862\\\\

Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

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