Answer:
2nd option
Step-by-step explanation:
given
BD = 4x
CE = 2x + 2
test each answer option by substituting the given values of x into each of the above equations and see if it is consistent with the given values for BD and CD in the answer options.
1st option, when x = 5,
BD = 4x = 4(5) = 20 (Consistent)
CE = 2x + 2 = 2(5) + 2 = 10 + 2 = 12 ( not consistent with CE=8)
2nd option, when x = 3/7,
BD = 4x = 4(3/7) = 12/7 (Consistent)
CE = 2x + 2 = 2(3/7) + 2 = 6/7 + 2 = 20/7 ( consistent with CE=20/7) (ANSWER)
3rd option, when x = 3,
BD = 4x = 4(3) = 12 (Consistent)
CE = 2x + 2 = 2(3) + 2 = 6 + 2 = 8 ( not consistent with CE=20)
The answer is 2197 inches cubed
Answer:
Pam is 51.
Jan is 48.
Step-by-step explanation:
Pam is 3 years older than Jan so her age is x + 3 where x is Jan's age. When we add Pam's age and Jan's age, the sum equals 99.
So x + x+3 = 99. Solve for x.
2x+3 = 99
2x=96
x= 48
So Jan is 48 years old. This means Pam is 51.
Answer:
3⁷
Step-by-step explanation:
it's kinda messy but my step by step is in the picture. practically when you "multiply" an exponent (as long as they have the same base number) with another like 3⁴×3⁵ or (3⁴)⁵ you add the exponents together so you'd get 3⁴×3⁵=3⁹
when dividing an exponent by another exponent (with again, the same base number) you subtract the exponents like this: 3⁶÷3² or 3⁶/3² would equal 3⁴