Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
Answer:
factors of 7: 1, 7
factors of 10: 2, 5
1*-2 = -2
7*-5 = -35
...
-35 + -2 = -37
Step-by-step explanation:
<h3>
Answer: A and C</h3>
Both matrices are 1 x 4 matrices. This notation says there is 1 row and 4 columns. The number of rows must match up, as well as the number of columns, in order for matrix addition to be possible. This is so the corresponding elements pair up and add together. For instance, the 5 and -2 pair up and add together for matrices A and C.
Answer:
3/2 6/4 12/8
Step-by-step explanation:
Answer:
______________________________________________________
The circumference (in terms of "π") is: " 12π in. " .
__________________________________________________________
The circumference (using "3.14" as an approximation for "π") is: " 37.7 in. " .
__________________________________________________________
Circumference, "C" = π* d ; (d = diameter = 12 in.);
C = π* d = π * 12 in. = " 12π in. " (in terms of "π").
Or, using the approximation, "π ≈ 3.14" ;
C = 3.14 * (12 in.) = 37.68 inches ; round to: " 37.7 in. " .
______________________________________________