Answer:
21
Step-by-step explanation:
We have to create an identity
3x + 21 = 3x + k
if we substitute k with 21 we have
3x + 21 = 3x + 21
that is an identity so it’s true for every value of x
Answer: 47.5 ft^2
Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.
Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.
Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.
Add all of these together. 40+3+4.5=47.5.
Answer:
1.45 million accessories
Step-by-step explanation:
we need to write an algebraic equation
y = (100 - 10x^2)x - 10x
y represents the profit
x represents the # of accesories produced in millions
I used 10 because that's the cost of making each accessory
100-x^2=consumer price
x-10x= accessory-cost to make all the accessories
we know that 2 million accessories make 100 million
so the number of accessories that approximately make 100 should be around 2 million
in the options 1.45 is given which is close to 2
even though 3.45 is closer than two you would go beyond a 100 million profit which isn't what you want
if the options weren't given you would have to use all values from 1-2 as "x"
hope this helps!
Answer:
1.60 
Step-by-step explanation:
Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.
i.e Area = 
So that,
for the inner part of the pipe,
r = 
= 
= 2.5 feet
Area of the inner part of the pipe =
= 3.14 x 
= 19.625
Are of the inner part of the pipe is 19.63 .
Total diameter of the pipe = 5 + 0.2
= 5.2 feet
r = 
= 2.6 feet
Area of the pipe =
= 3.14 x 
= 21.2264
Area of the pipe is 21.23 .
Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe
= 21.2264 - 19.625
= 1.6014
The cross sectional area of the cement pipe is 1.60 .
Answer:
b. a spinner divided into 5 congruent sectors, spun 4 times
Step-by-step explanation:
