Answer:
<em>2 1/3, 2 1/4, 2 3/7</em>
Step-by-step explanation:
<u>Mixed Fractions</u>
Mixed fractions are made of an integer part followed by a proper fraction.
Some examples of mixed fractions are:
3 1/2, -4 5/8, 2 2/3
Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.
In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.
We can select any number with integer part 2 and a proper fraction less than 1/2.
Examples could be :
2 1/3, 2 1/4, 2 3/7
All of them are less than 2.5
Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.
(x+9)(x+2)*4
becomes:
(x^2+11x+18)*4
= 4x^2 + 44x + 72
anyway, this is how I would do this problem:
(x+9)(x+2)(4) = 912
(x+9)(x+2) = 228
x^2 + 11x + 18 = 228
x^2 + 11x - 220 = 0
(x+21)(x-10) = 0
x = -21 or 10
The dimensions can't be negative, so we only use x = 10
The dimensions are then 10+9, 10+2, 4
or 19, 12, 4
Answer: 6 times
Step-by-step explanation:
Let the Length of the rectangle be L and the Width be W
Also , let us pick the Length as the longest side , then from the statement
L = 2W
The perimeter of a rectangle is given as :
P = 2 ( L + W )
substitute L = 2W into the formula , we have
P = 2 ( 2W + W )
P = 2 (3W)
P = 6W
Therefore the Perimeter is 6 times as long as the Width
Answer:
f(-2.75)=-1
Step-by-step explanation:
Here we are given a Greatest Integer Function . The characteristic of this function is that it when operated , gives you the greatest integer it has near to it.
Hence if we have any greatest integer function f(x)=[x] , for x = -2.75
[-2.75]=-2 , as -the greatest integer near to -2.75 is -2 as -3<-2
Now coming back to our problem, our function is
f(x)=[x]+1
Hence for x=-2.75
f(x)=[-2.75]+1
as we discussed above [-2.75]=-2
Hence
f(-2.75)=-2+1
f(-2.75)=-1
Answer:
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.
Step-by-step explanation:
See the diagram attached to the question.
We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.
The correct option is Option C.
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)