Hey there!!
Total length of the fabric bought = 3 1/4 yards
First, let's convert this mixed fraction to improper fraction
3 1/4 = 13/4
The total cost for 13/4 yards = $13
Find cost per yard
Let's take the cost per yard as ' x '
Then, 13/4 yards = 13x / 4
Let's get this into an equation -
13x/4 = 13
Multiply by 4 on both sides
13x = 52
Divide by 13 on both sides
x = 52 / 13
x = 4
The cost per yard = $4
Hope my answer helps!
Answer:
7.5 hours
Step-by-step explanation:
Step 1:
120/4 = 225/x Equation
Step 2:
120x = 900
Step 3:
x = 900 ÷ 120 Divide
Answer:
x = 7.5
Hope This Helps :)
1st night Nickel - 5 pennies
2nd night 5 nickels - 25 pennies
3rd night 14 nickels - 70 pennies
4th night 30 nickels - 150 pennies
5th night 46 nickels
6th night 78 nickels
7th night 126 nickels
8th night 206 nickels
9th night 334 nickels
10th night 542 nickels
So her mother would give Kim 542 nickels on the 10th night.
Differences between number of nickels: 4, 9, 16
9 - 4 = 5
16 - 9 = 7
The pattern is Kim's mom gives her child two more nickels plus the amount of nickels she got the day before.
This was a little tricky so I don't know if this is right but I hope this helps you!
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Answer:
answer is I'm guessing B.
