That would be the third option
If you plug in the x values of both (2, 8) and (4, 12) into each equation, you'll find that y = 2x + 4 gives you the correct y values for both (2, 8) and (4, 12). So that is your answer.
Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
Answer:
2.42 feet
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference
We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius
We divide 2 from both sides of the equation (3.14)(radius) = 3.794
We divide pi from both sides (radius) = 1.208
Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius
1.208 * 2 = 2.416 or 2.42 rounded up
Final answer = 2.42 feet
Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________
(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
_____________________________________________________
→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
________________________________________________________
→ x = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
→ Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
→ x = (<span>9*10</span>³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
__________________________________________________________
→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
__________________________________________________________
