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ad-work [718]
3 years ago
14

Renee is in charge of the school carnival for 380 students. She has 47 boxes of prizes. Each box has 22 prizes. She wants to mak

e sure she has enough prizes for each student to win 2 prizes. Does Renee have enough prizes? Explain how you solved your problem.
Mathematics
2 answers:
miv72 [106K]3 years ago
8 0
47 times 22 = 1034

1034/2 = 517

380 is less than 517 so Renee has more than enough for each student.
ladessa [460]3 years ago
5 0

Answer: Hello mate!

There are 380 students, and Renee wants to make sure that she has enough prizes for each student to win 2 prizes.

Then she needs at least 2*380 = 760 prizes.

We know that she has 47 boxes whit 22 prizes each, then the total number of prizes that she has is:

47*22 = 1034

Then she has more prizes than the 760 needed, so she has enough prizes.

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A string of length 160cm is cut in to 2 pieces, in the ratio 3:5<br> find the length of each piece​
Sindrei [870]

Answer:

one of them is 60cm long, the other is 100cm long.

Step-by-step explanation:

3+5=8

160/8=20

20 x 3 = 60

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just to check : 60 + 100 = 160

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6 0
3 years ago
The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How
dlinn [17]
For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative


answer is shorter side=9 cm


5 0
3 years ago
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