Answer:
8
Step-by-step explanation:
96n = 520 + 31n
65n=520
n=8
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
Given that :
Card numbered from: 500 - 799
The required number of values must meet both conditions 1 and 2
Condition 1 : first of the 3 digits is odd :
500 - 599 = 100
700 - 799 = 100
(100 + 100) = 200 cards
Condition 2: three digits is divisible by 6
{500 - 599} and {700 - 799}
The numbers divisible by 6 are 33
Answer:
51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.
Step-by-step explanation:
Given:
75 feet/second.
Now, to convert 75 feet/second into miles/hour.
So, to convert we divide the value of feet per second by conversion factor to get miles per hour.
Value of feet per second = 75.
Conversion factor = 1.4667.
Now, putting the formula to get the value in miles/hour:
Value in miles/hour = value of feet/second ÷ conversion factor.
Value in miles/hour = 
= 
<em>Rounding nearest to whole number = 51 miles/hour.</em>
Therefore, 51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.
Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(
,
,
,
)
![P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29-O%28x%2Cy%29%5D)
![P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2810%2C40%29-%280%2C0%29%5D)

![Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]](https://tex.z-dn.net/?f=Q%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BQ%28x%2Cy%29-O%28x%2Cy%29%5D)
![Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]](https://tex.z-dn.net/?f=Q%27%20%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2870%2C120%29-%280%2C0%29%5D)

Then, the length of the resulting segment is determined by following Pythagorean identity:


The length of the resulting segment is 500.