Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x ) 
( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) ( 20 + 2x )"
600 + 100x + 4
= 1000 - Subtract 1000 on either side, making on side = 0
4 + 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) - 
,
,
There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) 
. The approximated value however is 3.5081...or approximately 3.5 feet.
Answer:
D) y = 1/3-x
Step-by-step explanation:
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
Answer:
$37.97
Step-by-step explanation:
The price of the shoes before tax is 100% of the price of the shoes.
Then the tax adds 5.5% of the price of the shoes to the price of the shoes.
He ends up paying 100% + 5.5% of the price of the shoes.
100% + 5.5% = 105.5%
Now we find 105.5% of $35.99.
105.5% of $35.99 = 1.055 × $35.99 = $37.96945
Answer: $37.97
Answer:
$6.03
Step-by-step explanation:
The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.
So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.
Each pair of socks cost $6.03.
Simpler Explanation:
- $75.15 - $45 = $30.15
- $30.15 / 5 = $6.03
The answer is $6.03
