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Vsevolod [243]
3 years ago
7

Louise has only 5 cent, 10 cent, and 20 cent coins in her purse. She has 30 coins in total, and she has two more 10 cent coins t

han 5 cent coins. If the total value of her coins is $3:80, how many 10 cent coins does she have?
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
Let x =  number of 5 cent coins.
Then there are (x+2) 10 cent coins.
Let y = 20 cent coins.
Total coins: x+(x+2)+y = 30
2x+y=28       
y = 28-2x                             (1)
Total value: 0.05x + 0.1(x+2) + 0.2y = 3.80
0.15x + 0.2y + 0.2 = 3.80
0.15x + 0.2y = 3.60             (2)
Substitute (1) into (2).
0.15x + 0.2(28-2x) = 3.60
-0.25x + 5.60 = 3.60
2.00 = 0.25x
8 = x

From (1), obtain y = 28 - 2(8) = 12
Answer: (x+2) = 8+2 = 10 
Louise has 10 10-cent coins
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Talja [164]
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4 0
4 years ago
A __________ contains all the subset of superset. A superset. B proper subset. C null set 2.Positive square root of 1/3 is______
aivan3 [116]

Answer:

i) superset (A)

ii) 0.577 (A)

Step-by-step explanation:

i) A subset is a set which has all its elements contained in another set.

For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.

A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.

Proper subset

For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.

An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.

Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.

ii) Square root of 1/3 = √⅓

= ± √⅓ = +√⅓ or -√⅓

+√⅓ = +(√1/√3) = +(1/√3)

+√⅓ = +(1/1.7321)

+√⅓ = +0.577

Therefore Positive square root of 1/3 is 0.577 (A)

3 0
3 years ago
A rectangle has a perimeter of 60 units and one side of length 18 units. If it can be determined, what are the lengths, in units
ladessa [460]

Answer:

option B. 18,12,12

Step-by-step explanation:

perimeter= 60 units

(consider a rectangle with sides a,b,c & d in order)

a= 18 units (given)

c=18 units (since opp. sides of a rectangle are equal)

now the remaining length= 60-(18+18)

                                          = 60 - 36

                                          = 24

so the sum of the remaining sides, ie, b+d= 24

since b and d are equal (opp.sides of a rect.)

b=d=24/2=12

therefore, b=12; c=18; d=12

i really hope i'm clear...but if i'm not then please do ask...

8 0
3 years ago
Read 2 more answers
Find the value of b. B² = 256
Jlenok [28]

B^2=256

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

B=\sqrt{256},\:B=-\sqrt{256}

\sqrt{256}

\mathrm{Factor\:the\:number:\:}\:256=16^2

=\sqrt{16^2}

=16

-\sqrt{256} =-16

B=16,\:B=-16

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

<em>by a random romanian guy</em>

7 0
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jonny [76]
Well using distance formula we get the length of ab to be 3, knowing a'b'=6 we know the dilator must be 2
5 0
3 years ago
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