Erica used 50 pounds of type B coffee
Let the number of pounds of type A coffee be A
Let the number of pounds of type B coffee be B
Total number of pounds = 123
A + B = 123.........................................(1)
Cost of 1 pound of type A coffee = $5.95
Cost of 1 pound of type B coffee = $4.40
Total cost = $654.35
5.95A + 4.40B = 654.35..........................(2)
Make A the subject of the formula in equation (1)
A = 123 - B........................(3)
Substitute equation (3) into equation (2)
5.95(123 - B) + 4.40B = 654.35
731.85 - 5.95B + 4.40B = 654.35
5.95B - 4.40B = 731.85 - 654.35
1.55B = 77.5
B = 77.5/1.55
B = 50
Erica used 50 pounds of type B coffee
Learn more on system of equations here here: brainly.com/question/13729904
You want to undo the (-9 1/2), so you will add 9 1/2 to each side
Answer:
3a + 5b - 2
Step-by-step explanation:
The perimeter is the sum of all 3 sides of the triangle.
To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.
x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis
= 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1
= 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms
= 3a + 5b - 2 ← length of missing side
Answer:
Hence, the value of expression (2) is ⇒ 1.08.
Step-by-step explanation:
We are given a fact such that:
4.86 : 0.45=10.8 ------(1)
Now we are asked to find the value of the mathematical expression:
4.86 : 4.5 --------(2) without actually dividing.
We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.
The denominator in second expression is just a multiplication of the denominator of first expression by 10.
Hence we divide both side of expression (1) by 10 to obtain the expression (2).
i.e. 4.86: (0.45×10)=10.8:10
i.e. 4.86: 4.5= 1.08
Hence, the value of expression (2) is 1.08.
