<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...
... 2.00x +1.50(262-x) = 470.00
... 0.50x +393.00 = 470.00 . . . . . simplify
... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393
... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x
... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted
9514 1404 393
Answer:
13 nickels
Step-by-step explanation:
Let n represent the number of nickels Bob has. Then 18-n is the number of dimes, and the total value (in cents) is ...
5n +10(18-n) = 115
-5n +180 = 115 . . . simplify
65 = 5n . . . . . add 5n-115
13 = n . . . . . . . divide by 5
Bob has 13 nickels.
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values

solve for x

<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
A because the alternate exterior angles equal each other
Answer:
8
Step-by-step explanation:
[-2][-2]=-2 x-2=4
4+4=8