Answer:
B. 
Step-by-step explanation:
Let w represent the number of weeks.
We have been given that a wrestler currently weighs 189 pounds and is losing 0.5 of a pound per week. So the weight lost by wrestler in w weeks would be 
.
The total weight of wrestler after w weeks would be:
We are also told that the wrestler needs to weigh more than 165 pounds but less than or equal to 185 pounds. This means that total weight of wrestler should be less than or equal to 185 pounds and greater than 165 pounds.
We can represent this information in an inequality as:
Therefore, option B is the correct choice.
<span>x = number of entries
55x + 10000 - 15x ≥ 55000
First, subtract 10000 from each side
55x - 15x ≥ 45000
Now, we can combine 55x and 15x because they've both got the same variable attached
40x ≥ 45000
Now divide each side by 40 to isolate x (which is the number of entries)
x ≥ 1125
The race needs at least 1125 entries to raise at least $55,000.</span>
For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
Rewriting the expression we have:
Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
x = -2
y = 10
Step-by-step explanation:
Since they already gave y as -3x +4, you will then have to substitute that amount into the formula
9x + 5y = 32
By doing that you get
9x +5(-3x+4) = 32
9x -15x +20 = 32
Then, you ill take 20 to the other side to subtract 32, which will get you
-6x = 12
Then, you will get x = -2
Then substitute that for the equation
y = -3x + 4
You will get
y = -3(-2) + 4,
You will get y as 10
SO then your final answer is x = -2, y = 10
Answer:
5 should be subtracted from each term
Step-by-step explanation:
Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
