How many people will 5 pitchers serve if one eight pitcher serves one person

Answers

Answer 1

Answer: If 1/8 of a pitcher servers one person, then 1 pitcher serves 8 people. If we multiply this by 5 pitchers: 5 x 8 = 40, we find that 5 pitchers will serve 40 people.

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Determine the discriminant for the quadratic equation 0=-2x^2+3 Based on the discriminant value, how many real numbersolutions does the equation have?

Answers

Answer:

This problem has two number solutions. The solutions are x = ±√ 1.500 = ± 1.22474.

Step-bystepexplanation:

Step 1 :

Equation at the end of step 1 :

0 - ((0 - 2x2) + 3) = 0

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 2x2-3

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Equation at the end of step 2 :

2x2 - 3 = 0

Step 3 :

Solving a Single Variable Equation :

3.1 Solve : 2x2-3 = 0

Add 3 to both sides of the equation :

2x2 = 3

Divide both sides of the equation by 2:

x2 = 3/2 = 1.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 3/2

The equation has two real solutions

These solutions are x = ±√ 1.500 = ± 1.22474

How much is 96.25 in a fraction

Answers

77/80 is the fraction in its simplest form

the answer is 96 1/4. 25 is one fourth of 100 and 96 is a whole number so the answer is 96 1/4 or it can also be 385/4 but 96 1/4 is in simplest form

Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long should the sides of the triangle be in inches?The sides of the triangle on the drawing should be _____.

Answers

Answer: The sides of the triangle on the drawing should be 6 inches, 8 inches, and 9 inches.

Step-by-step explanation:

Given: A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet.

Then, 1 feet of original triangle = $(1)/(2)$ inch on drawing.

Now, the sides of the triangle on the drawing are:-

12 feet = $(1)/(2)*12=6\text{ inches}$

12 feet = $(1)/(2)*16=8\text{ inches}$

12 feet = $(1)/(2)*18=9\text{ inches}$

Hence, the sides of the triangle on the drawing should be 6 inches, 8 inches, and 9 inches.

the sides of the triangle would be 6 inches, 8 inches, and 9 inches long

a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square are horizontal and vertical. A reflection over what line maps the square onto itself?

Answers

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.

Answers

$d=2r\n A=128 \pi \n A=2 \pi r^(2) +2 \pi rh \n\n 2 \pi r^(2) +2 \pi rh = 128 \pi \n 2 r^(2) +2rh = 128\n 2 r^(2)+24r-128=0\n r^(2)+12r-64=0\n delta=400\n r_(1/2) = -16/4 \n r=4cm\n d=8cm\n$

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points does the image cross the x-axis?A.(–8, 0) and (4, 0)
B.(8, 0) and (–4, 0)
C.(2, 0) and (–1, 0)
D.(–2, 0) and (1, 0)

Answers

The right answer for the question that is being asked and shown above is that: "B.(8, 0) and (–4, 0).' The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At B.(8, 0) and (–4, 0) points does the image cross the x-axis.

Answer:

Step-by-step explanation: b is wrong a is right I took the test

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