Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
In first diameter=8,In second diameter=2/3,
Answer:
10,000 square meters.
Step-by-step explanation:
First, let's split this shape into a rectangle and a triangle to make it easier.
<em>Rectangle:</em>
A = bh
We know the base is 120m and the height is 30m. So simply plug those into the equation.
A = (120)(30) = <em>3,600 square meters.</em>
<em>Triangle:</em>
A = 1/2bh
Since we split the shape up, we have to calculate the triangles base and height.
To find the base, take the 120 and subtract the 40, giving us 80.
To find the height, take the 190 and subtract the 30, giving us 160.
Now take those numbers and plug them into the equation.
A = 1/2(80)(160) = 1/2(12,800) = <em>6,400 square meters.</em>
<em>Total:</em>
Simply add the area of the rectangle to the area of the triangle to find the area of the entire shape.
A = 3,600 + 6,400 = 10,000 square meters.
Answer:
4 = 20 + n, where n is the number
Step-by-step explanation:
Here are a few key words to use when converting words to an equation
"is": =
"more": +
"less": -
"more than", "greater than": >
"less than": <
