Answer:
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Answer:
49°
Step-by-step explanation:
First, solve for x.
3x-7+2x+17=90
5x+10=90
5x=80
x=16
Then put 16 in for x.
2(16)+17=
32+17=49
The minimum and maximum amounts that the artist received for her products are 278 and 322
<h3>Part A: Define a variable and write an
absolute value equation to represent the scenario.</h3>
Let the number of prints remaining be x.
The given parameters are:
Total = 300
Amount = 22 within her goal
So, we have the following absolute value equation
|x - 300| = 22
<h3>Part B: Solve the equation, showing all steps.</h3>
In (a), we have:
|x - 300| = 22
Remove the absolute bracket
x - 300 = 22 and x - 300 = -22
Add 300 to both sides
x = 322 and x = 278
<h3>Part C: What are the minimum and maximum amounts that the artist received for her products?</h3>
The minimum and maximum amounts that the artist received for her products are 278 and 322
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Answer:
(n- 2/3)²
Step-by-step explanation:
- <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>
We have:
It can be put as:
Here we consider n = a and -2/3 = b, then
Now we add 4/9 to a given binomial to make it perfect square:
- n² - 2×n×3/2 + 4/9= (n- 2/3)²
So, added 4/9 and got a perfect square (n- 2/3)²
Answer:

Step-by-step explanation:
8^2+5^2=c^2
64+25=c^2
89=c^2
c=
<-- this is the length of the rectangle at the bottom
2^2+(
)^2=c^2
4+89=c^2
c=
<-- length of dotted line (diagonal)