Choose exactly two answers that are correct.
A.
There is 3\5 of a box of dog treats in the cupboard. Jill’s dog eats1\4 of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog?
B.
In Sophie’s doll collection,3\5 of the dolls are in their original boxes. Sophie plans to donate 1\4 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?
C.
Shawn made a poster that has a width of 1\4 meter and a length of 3\5 meter. What is the area, in square meters, of Shawn’s poster?
D.
Christie hiked 1\4 mile on the trail. Jackie hiked 3\5 mile farther than Christie. How far, in miles, did Jackie hike on the trail?
Answer: Option 'C' and 'B' are correct.
Step-by-step explanation:
Since we have given that
In Option 'C' ,
Length of a poster is given by
Width of a poster is given by
So, Area of poster is given by
In option 'B', part of dolls are within the original box is given by
Part of dolls who has charity is given by
Total dolls she donate is given by
On the other hand, In option 'A' has "Division operation" and option 'D' has "Subtraction operation".
Hence, Option 'C' and 'B' are correct.
8x3 + 6x2 − 32x − 24 = 2(x + k)(x − k)(4x + 3)
a. 4
b.3
c. 2
d. 1
The value of the constant 'k' in the factored form is 2.
The correct answer is an option (C)
"It is a mathematical expression that contains two or more algebraic terms that are added, subtracted, or multiplied."
"It means decomposing the given polynomial into a product of two or more polynomials "
For given question,
We have been given the factored form of polynomial.
We can write the given polynomial as,
This means, the value of k is 2.
Therefore, the value of the constant 'k' in the factored form is 2.
The correct answer is an option (C)
Learn more about the factorization of polynomial here:
#SPJ2
Answer:
75
Step-by-step explanation:
V=S/T(the formula)
V= 375/5
V=75
A. 180°+z−w
B. 180°–z−w
C. w−z
D. 180°+w−z
Answer:
A. 180°+z−w
Step-by-step explanation:
We know that x + w = 180 because they are same side exterior angles and a and b are parallel.
z=y because they are alternate interior angles and a and b are parallel.
x + w = 180
Solve for x by subtracting w from each side
x = 180-w
y =z
Lets find x+y
x+y
(180-w) +z
Rewriting
180+z-w
Answer:
A. 180º + z - w
Step-by-step explanation:
x + w = 180, because they are same side exterior angles, and are on opposite sides.
z = y, because if you move z down, then you will see that they overlap.
From x + w = 180, you can get x = 180 - w.
We are trying to find x + y in terms of w and z, so:
x = 180 - w
y = z
With that, you can assemble the expression, 180 - w + z.
If you re-arrange, you will get 180 + z - w.
Therefore, A is the answer.