Answer:
2/5
Step-by-step explanation:
Cost of each bags of flour = $2.50
Cost of each bags of butter = $3.75
Solution:
Let f be the bags of flour and b be the pounds of butter.
Cost of 20 bags of flour 16 pound of butter = 110
⇒ 20f + 16b = 110 -------------------- (1)
Cost of 30 bags of flour 12 pound of butter = 120
⇒ 30f + 12b = 120 -------------------- (2)
Equation (1) and (2) are the system of equations.
(2) ⇒ 30f + 12b = 120
Subtract 30f from both sides.
⇒ 12b = 120 – 30f
Divide by 12 on both sides.
-------------------- (3)
Substitute (3) in (1).




Subtract 160 from both sides.

Divide by –20, we get

f = 2.50
Substitute f = 2.5 in equation (3), we get


b = 3.75
Cost of each bags of flour = $2.50
Cost of each bags of butter = $3.75
Answer:
Triangles ABC and DCB are congruent by SAS
Step-by-step explanation:
Angle CAB is congruent to angle CDB. Side DB is congruent to side AC. Then Ab is congruent to side CD.
Answer:

Step-by-step explanation:
Given

Recursive: 
Required
Determine the formula
Substitute 2 for n to determine 


Substitute 


Next is to determine the common difference, d;



The nth term of an arithmetic sequence is calculated as

Substitute
and 


Hence, the nth term of the sequence can be calculated using
Answer:
x=5
Step-by-step explanation:
Set your equation up as following:
6x-10=3x+5
move the 3x to the left side by substracting
3x-10=5
now add 10 to the right side
3x=15
Divide 15 by 3 to isolate x
x=15/3
x=5