Answer:
4. x = 6
5. x = 31
6. x = 34
Step-by-step explanation:
4. vertical angles
- 36/6 = 6
5. supplementary angles
180 - 56 = 124
124/4 = 31
6. complementary angle
90 - 22 = 68
68/2 = 34
We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
To learn more about elimination method, here:-
brainly.com/question/13877817
#SPJ4
It either x=5 or x=-2 not sure which on
Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.
Step-by-step explanation:
Let x denotes the number of girls.
Then, the number of boys = x+811
The number of adults over 50 years of age = x-2481
Now, by considering the given scenario :-

Thus, the number of girls attended the festival = 4051,
Then number of boys = 4051+811=4862
Number of adults = 4051-2481=1570
Answer:
The function
has the following set of solutions:
,
,
,
,
, 
,
,
,
, 
Step-by-step explanation:
Let be
, we proceed to simplify the expression by Algebraic means:
1)
Given
2)
Associative, commutative and distributive properties/
3)
Commutative, associative and modulative properties/Existence of multiplicative inverse/Result
Now we evaluate the function for each value:





























