x = 30
The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.
Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.
Multiply both sides by two to isolate x and you get x = 30.
Hope this helps! :)
Seven times seven equals forty nine
Answer:
The length and width of another rectangular field with same perimeter but a larger area is 80 m by 70 m
Step-by-step explanation:
The perimeter of the existing field is
2(l + b)
= 2(90 + 60) = 2(150) = 300 yards
So we want another field having the same perimeter but a larger area
The area we have here is 90 * 60 = 5,400 square yards
If we had 80 by 70
Perimeter will still be 2(70 + 80) = 150
But the area will be 80 * 70 = 5,600 square yards
Answer: option 2 is the better option
Step-by-step explanation: well in this case as you are trying to find the individual prices of the candy bars, you would divide the total price by the amount of candy bars. So in this case for the first problem, you would take the total price: $6.75 and divide it by 10. The answer to this would be .675 but you would round it up to .68 so that you have a two digit decimal. Therefore the answer is .68 cents for each candy bar.
you would repeat this process for the second problem. Total price: $7.25 divided by 12 (candy bars). The answer in this problem would then be .60 cents per candy bar. Once we see how much each would be, it is just a matter of seeing which price is higher. In this case, the second option is the better option.
Sorry this was long, that's how i explain things, but i hope this helps
Answer

Step-by-step explanation:
First we gave a name to the side that is common for both triangles, can be Y for example.
Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.
, Because sin(x)= op/hip
, Because con(x)=ad/hip
Having this equations, we can solve the system and find x

we equal Y and solve

Then we rationalize

Hope you like it!