Answer:
4
Step-by-step explanation:
3x-5=7x-21
3x-7x=5-21
-4x=-16 ( divide by -4 both sides)
x= 4
Answer: 82 sq. units .
Step-by-step explanation:
Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.
Then we plot them on graph ( as provided in attachment)
Length = AB
units [By distance formula :
]
units
Width = BC =
units
![=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B4%5E2%2B5%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B16%2B25%7D%5C%5C%5C%5C%3D%5Csqrt%7B41%7D)
Area = length x width
= ![2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}](https://tex.z-dn.net/?f=2%5Csqrt%7B41%7D%5Ctimes%5Csqrt%7B41%7D%3D2%5Ctimes41%3D%2082%5Ctext%7B%20sq.%20units%7D)
Hence, the area of the rectangle is 82 sq. units .
5/13t= -9
Then t =( -9*13) / 5
T=-23.4
Answer:
A. Equation is ![c=25+15.75x](https://tex.z-dn.net/?f=c%3D25%2B15.75x)
B. Cost is $88
Step-by-step explanation:
A)
Suppose you rent for x hours and each hour costs $15.75
<u><em>How much would you need to pay?</em></u>
![15.75x](https://tex.z-dn.net/?f=15.75x)
Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay ![25+15.75x](https://tex.z-dn.net/?f=25%2B15.75x)
This is the equation of renting a snowboard for x hours.
Equation is ![c=25+15.75x](https://tex.z-dn.net/?f=c%3D25%2B15.75x)
- Where x is the number of hours you rent the snowboard, and
- c is the total cost
B)
If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.
To know how much it will cost, you simply plug in 4 into x (in the equation):
![c=25+15.75x\\c=25+15.75(4)\\c=88](https://tex.z-dn.net/?f=c%3D25%2B15.75x%5C%5Cc%3D25%2B15.75%284%29%5C%5Cc%3D88)
Cost is $88
Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50
Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)