He has $90 in total to spend
He spent (31/45) of this money on ticket
so money spent on ticket =(31/45) *90 =2790/45 =62
Now money left with him is 90-62 =28 $
Now it says that he spent (3/7) of this remaining money at concession stand
so money spent on concession stand =(3/7)*28 =84/7 =12
Now money left with him = 28-12 =16
So money left with him is $16 but hat costs for $18
So Mr. O'Connor didnt have enough moeny to buy the hat
If a quadrilateral is a rhombus then:
i) all its sides have equal length,
and
ii) the 2 diagonals are perpendicular and bisect each other.
The 2 diagonals of rhombus JKLM intersect at N.
Then m(MNJ)=90°, |JN|=4 and |NM|=3 units
thus, by the Pythagorean theorem,
The perimeter of the rhombus is 4*5 units=20 units.
Answer: 20 units
A book is sold in Belize for 80.39 Belize dollars.
In Brazil, it sells for 63.65 Brazilian reals.
The exchange rate of US Dollars to Belize Dollars is 1:1.9246
<span>The exchange rate of US Dollars to Brazilian Real is 1:1.7880
</span>
If we convert the two into dollars,
Belize Dollars
1 : 1.9246 = X : <span>80.39
1.9246X = 80.39
X = $ 41.77
</span>Brazilian Real
1 : 1.7880 = X : 63.65 <span>
</span>1.7880X = 63.65 <span>
X = $ 35.60
</span>
Difference = $ 41.77 - $ 35.60
Difference = $ 6.17
<span>So, in Belize the book is more expensive by $ 6.17</span>
<h3>
Answer: Give the domain and the range of each quadratic function whose graph is described. The vertex is (−1,−2)(−1,−2) and the parabola opens up.</h3>
Answer:
No solution
Step-by-step explanation:
You are given the inequality
First, eliminate brackets in left side of the inequality:
Now separate variables and numbers:
So
The last inequality is false (0 is not less than -2), so the initial inequality has no solution.