Answer: the price of each bagel is $0.55 and each doughnut is $0.7
Step-by-step explanation:
Let x represent the price of each bagel.
Let y represent the price of each doughnut.
One of them bought 7 bagels and 5 doughnuts, and paid $7.35. This is expressed as
7x + 5y = 7.35 - - - - - - - - - - - - - 1
The other customer bought 4 bagels and 6 doughnuts, and paid $6.40. This is expressed as
4x + 6y = 6.4 - - - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 7, it becomes
28x + 20y = 29.4
28x + 42y = 44.8
Subtracting, it becomes
- 22y = - 15.4
y = - 15.4/ - 22
y = 0.7
Substituting y = 0.7 into equation 1, it becomes
7x + 5 × 0.7 = 7.35
7x + 3.5 = 7.35
7x = 7.35 - 3.5
7x = 3.85
x = 3.85/7
x = 0.55
Use the pythagorean theorem
a = 12
b = 5
c = unknown
a^2 + b^2 = c^2
12^2+5^2 = c^2
144 + 25 = c^2
169 = c^2
c^2 = 169
c = sqrt(169)
c = 13
The hypotenuse of the right triangle is 13 units
Answer: 13
Answer:
3(10)-7
Step-by-step explanation:
3(10)-7
Answer:
100 m²
Step-by-step explanation:
The area (A) of the rhombus can be calculated using the formula
A = product of diagonals
major diagonal = 10 + 10 = 20
minor diagonal = 5 + 5 = 10
A = 0.5 × 20 × 10 = 100 m²