Answer:
213.333 ounces
Step-by-step explanation:
A small office purchases bottled drinking water. The water comes in containers that hold 5 gallons. Two-thirds of the office container was drained last week to put out a fire in the wastebasket.
a. How much water (in ounces) is left in the container?
b. How many 12-ounce glasses can be filled with the water that remains in the container
Container = 5 gallons
Two-thirds was drained last week to put out a fire in the wastebasket
That is 2/3 of 5
= 2/3 × 5
= 10 / 3 gallons
Water left in the container = 5 - 10/3
= 15-10/3
= 5/3 gallons
Convert 5/3 gallons to ounces
5/3 gallons = 213.333 ounces
B. Number of 12 ounces glass that can be filled from the water left in the container = 213.333 ounces / 12
= 17.77775
Approximately 18
Answer:
There are five different postulates and theorems that determine whether or not two triangles are congruent. These triangles do not fit any of them
Step-by-step explanation:
Side-side-side
Side-angle-side
Angle-side-angle
Angle-angle-side
Hypotenuse-Leg
The sides and angles must be connected in order for the theorem or postulate to apply.
I know it’s confusing, but I hope this helps!!
Answer: 6
Step-by-step explanation:
(5+1)^2-(11+3^2)
25+1-11+9
26-20
=6
Answer:
A. 4
B. 1
Step-by-step explanation:
The degree of a one-variable polynomial is the largest exponent of the variable.
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<h3>A.</h3>
For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...
(x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)
= (1 +2a)x^4 +(-3-6a)x^2 +2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f+ag is 4.
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<h3>B.</h3>
The polynomial sum is ...
f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b
When b = -1/2, the first two terms disappear and the sum becomes ...
f+bg = -x +1/2 . . . . . . a polynomial of degree 1
The smallest possible degree of f+bg is 1.
