Answer:
Ralph's current age is 18.
Step-by-step explanation:
Let r and s represent the current ages of Ralph and Sara respectively. Our task here is to determine r, Ralph's age now.
If Ralph is 3 times as old as Sara now, then r = 3s.
Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6. Ralph will be only twice as old as Sara will be then. This can be represented algebraically as
r + 6 = 2(s + 6).
We now have the following system of linear equations to solve:
r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).
r - 2s = 6
r = 3s
Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6. Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.
Ralph's current age is 18.
Answer:
35
Step-by-step explanation:
f(x) = 5x means you multply the given f function by 5
f(7) = 5×7 ➡35
Answer:
Surface Area is 56π cm²
Step-by-step explanation:
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 4 cm
The cylinder's height is 3 cm
Putting into the equation:
a=2×π×4×3+2×π×4²
a=2π×4×3+2×π×4²
a=8π×3+2×π×4²
a=24π+2×π×4²
a=24π+2×π×16
a=24π+2π×16
a=24π+32π
a=56π
The surface area of the cylinder is 56π cm².
Answer:
160
Step-by-step explanation:
13² - 3² = 13 × 13 - 3 × 3 = 169 - 9 = 160
Answer:
f456897
Step-by-step explanation:
because we dont like it
