Answer:
2=x
Step-by-step explanation:
8(4-x)=7x+2
Distribute
32 - 8x = 7x+2
Add 8x to each side
32 - 8x+8x = 7x+8x+2
32 = 15x+2
Subtract 2 from each side
32-2 = 15x+2-2
30 = 15x
Divide each side by 15
30/15 = 15x/15
2 =x
Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:

Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:

Then, substituting values (and using
), we get:

Answer:
1. 1.6x has a variable which means an unknown number
2. 5 more than 0.10 times a number
Step-by-step explanation:
A variable is an unknown number represented by a letter. It provides a way to write a relationship in the real world without knowing all the values involved, 1.6x means 1.6 times an unknown number mathematically. A real world example would be a percent growth of 60% on an unknown price - 1.6x.
5 + 0.10x means 5 more than 0.10 times an unknown number. A real world example here would be "10% off a sale plus $5 coupon". We don't know the price of the item but we do know it is 10% off and we get $5 off. Once we know the price we input it int for x and find the total discount.
Answer:
d) 4 ± 5i
Step-by-step explanation:
Here we have to use the quadratic formula.
x = 
In the given equation x^2 - 8x + 41 = 0, a =1, b = -8 and c = 41
Now plug in the given values in the above formula, we get
x = 
Simplifying the above, we get
x = 
x = 
[√-100 = √-1 *√100 = i*10 = 10i] because the value of √-1 = i]
x = (8 ± 10i )/2
Now dividing by 2, we get
x = 4 ± 5i
The answer is d) 4 ± 5i
Hope you will understand the concept.
Thank you.
Answer:
The number 690 is called the numerator or dividend, and the number 8 is called the denominator or divisor. The quotient of 690 and 8, the ratio of 690 and 8.
Step-by-step explanation: