Answer:
a. 3x^2 = 81
x^2 = 27

Step-by-step explanation:
Answer:
Step-by-step explanation:
Actually Welcome to the Concept of the linear equations..
Here given value of x= 5 and y =1 , so we get as,
5a + b = 38 and 5b - a = 8
so, now we multiply equation no. 2 by 5 all over.
==> 25b - 5a = 40....(1)
hence adding new equation and equation no. 1
26b = 78
b = 78/26
hence b = 3 , and a = 7
Answer:
Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies
Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.
Step-by-step explanation:
1 dollar = 100 pennies
Given:
Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
∴ Cost of 1 pound of strawberries at Grocery Mart = 
∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
Cost of 1 pound of strawberries at Baldwin Hills Market = 
Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Answer:
x1=6 , x2=1
Step-by-step explanation:
If you have any questions about the way I solved it,don't hesitate to ask