Answer:
c = 5
Step-by-step explanation:
- 6 + 2c = 3c -(6+5)
-6 + 2c = 3c -11
-6 + 11 = 3c- 2c
5 = c
Hello!
Answer:
d=2r
Step-by-step explanation:
Simplify both sides and isolate the variable.
Hope this helps!
Given:
The expression is

To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is

Where, a, b and c are real numbers.
We have,

Using distributive property, we get


Therefore, the expression
is equivalent to the given expression.
There would be 1/8 of the pie left,
you have to add 3/4 and 1/8 to find the total eaten and then subtract it by 8/8 (the total) which would give you your answer.
Hope it helps
Step-by-step explanation:
Sn= a+[n-1]d
S2= a+[2-1]d
8.5 = a+d _______Equation 1
S5 = a+[5-1]d
13=a+4d ________Equation 2
Subtract Equation 1 from Equation 2
13=a+4d
-
8.5= a+d
________
4.5= 3d
d=1.5
Substituting d=1.5 in equation 1
8.5=a+1.5
a=8.5-1.5
a=7
Sum of terms of an A.P =
Sn= n/2[2a+(n-1)d]
292= n/2[2×7+(n-1)d]
292=n/2[14+(n-1)1.5
292×2=n[14+(n-1)1.5]
584=n[14+1.5n-1.5]
584= 14n+1.5n²-1.5n
584= 1.5n²+12.5n
1.5n²+12.5n-584
1.5n²-24n+36.5n-584
1.5n(n-16)+36.5(n-16)
(1.5n+36.5)(n-16)
**n-16=0
n=16