Answer:
1/3 or 0.3 (recurring)
Step-by-step explanation:
Let's substitute our numbers into the equation.
27 = 9x + 24 I multipled 8 by 3 in order to get 24, because x equals 3.
Now take away 24 leaving 9x on its own.
3 = 9x
Divide 9 to separate it from x.
3/9 = x
Simplify the fraction.
1/3 = x
Xn = ar^(n-1)
n = term to find = 6
a = 1st term = 72
r = common ratio = 0.5
now we sub
x6 = 72 * 0.5^(6-1)
x6 = 72 * 0.5^5
x6 = 72 * 0.03125
x6 = 2.25 <===
Let's solve this thru elimination. Starting with x + y = 1, subtract x from both sides, obtaining y = 1 - x. This yields 2x - 3(1 - x) = - 30.
Performing the multiplication, we get 2x - 3 + 3x = -30.
Combining like terms: 5x = -27, or x = -27/5.
We already know that y = 1 - x. Thus, y = 1 - (-27/5), or y = 32/5.
The solution set is (-27/5, 32/5).
Answer:
29
Step-by-step explanation:
7x + yz = 7 x 2 + 3 x 5 = 14 + 15 = 29
Hello!
In this question, we can relate the definition of similar polygons to the side lengths.
If two given polygons are similar, that means that each corresponding side is multiplied by a certain, equivalent ratio to get the side length of the other side.
That means that we can take any side length ratio and set it equal to a ratio including the unknown side length.
Hope this helps!