Answer:
One apple pie is $4 and one blackberry pie is $20
Step-by-step explanation:
Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:
10a + 2b = 80
10a + 3b = 100
Solve by elimination by multiplying the top equation by -1, then adding the equations together:
-10a - 2b = -80
10a + 3b = 100
Add these together:
b = 20
So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:
10a + 2b = 80
10a + 2(20) = 80
10a + 40 = 80
10a = 40
a = 4
So, one apple pie is $4.
One apple pie is $4 and one blackberry pie is $20
Answer:
3.74
Step-by-step explanation:
Square root of a number is the number that multiplies by itself to result in, in this case, 14. The number is irrational, often, though here is close to 3.74, according to the calculator. Many, though not all, courses recommend calculators for determining square roots, as the mathematical process is quite complex and often not taught. Try this if your course allows, and if not, wow that's a tough course.
Answer:
slope= m=-30 hope that helps
Answer:
Number of 7 inch plate = 8
Number of 12 inch plate = 7
Step-by-step explanation:
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Given that :
Total Number of plates = 15
Diameter of each plate : 7 in or 12 in
Diameter of all 15 plates = 140 in
Let number of 7 in and 12 in diameter plates = x and y respectively ;
x + y = 15 - - (1)
7x + 12y = 140 - - - (2)
x = 15 - y
Substitute x = 15 - y in (2)
7(15 - y) + 12y = 140
105 - 7y + 12y = 140
105 + 5y = 140
5y = 140 - 105
5y = 35
y = 7
From x = 15 - y
x = 15 - 7
x = 8
Number of 7 inch plate = 8
Number of 12 inch plate = 7