Answer:
(
, 
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = 
=
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × )
= 
- 
=
Solution is ( , )
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
Answer:
−3a+38
Step-by-step explanation:
i simplified the expression
Answer:
15N + 21
Step-by-step explanation:
We are given that,
Amount of carpet bought by Peter = N meter²
The cost per meter square of the carpet = $15
So, the cost of 'N' meter square of carpet = 15N dollars.
Also, the delivery charge for the carpet = $21
Thus, the total cost of the carpet is given by,
Total cost = Cost per square meter + Delivery charge
i.e. Total cost = 15N + 21 (in dollars).
Hence, the expression representing the cost in dollars is '15N + 21'.
Area of square = L×W
L×W = 13×13
L×W = 169
