Answer: The quotient is (2x+1)
Step-by-step explanation:
Here, the dividend = 
Divisor = 
By the long division method for finding the quotient we will follow the following steps,
Steps 1 : Write dividend inside the division sign and divisor outside the division sign,
Step 2: Multiply the divisor by 2x and subtract the result by the dividend,
Step 3: Now, again multiply the divisor by 1,
Step 4: Subtract the result by the remaining dividend,
Since, further division is not possible,
Hence, the sum of all terms that are multiplied = 2x+1
Which is our quotient.
5).
and
6).
The volume of a sphere is
(4/3) (pi) (radius)³ .
In #5, the 'pi' is already there next to the answer window.
You just have to come up with the (4/3)(radius³).
Remember that the radius = 1/2 of the diameter.
7). The volume of a cylinder is
(pi) (radius²) (height) .
Divide the juice in the container by the volume of one can,
to get the number of cans he can fill.
8). The volume of a cone is
(1/3) (pi) (radius of the round bottom)² (height) .
He starts with a small cone, he then adds clay to it to make it higher.
The question is: How much clay does he ADD to the short one,
to make the bigger one ?
Use the formula to find the volume of the short one.
Use the formula again to find the volume of the bigger one.
Then SUBTRACT the smaller volume from the bigger volume.
THAT's how much clay he has to ADD.
Notice that the new built-up cone has the same radius
but more height than the first cone.
_______________________________________
Don't worry if you don't understand this.
The answer will be this number:
(1/3) (pi) (radius²) (height of the big one minus height of the small one).
Answer:
- B. Y = 32x + 35
- E. Y = 35x + 30
- F. Y = 40x + 40
Step-by-step explanation:
First find out how much Mary was charging per hour:
= 500 / 20
= $25 per hour
She charges $60 for plants.
In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.
Her rate as a linear equation would be:
y = 25x + 60
Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.
The gardeners with higher values of m than Mary are:
B. Y = 32x + 35
E. Y = 35x + 30
F. Y = 40x + 40
Answer:
Small one: 18 and 1-thirds yards² Large one: 43.5 yards²
Step-by-step explanation:
Area of rectangle= base*height
Large one: base = 6, height= 7.25 (7 and 1-fourth)
Area= 43.5yards²
Small one: base = 3(2/3 or 2-thirds), height= 5
change the mixed fraction 3(2/3) to 11/3
area= 11/3 * 5 = 55/3
change to mixed fraction which = 18(1/3)
