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3 years ago

Solve nine eighteenths plus one third

Mathematics

1 answer:

Leviafan [203]3 years ago

8 0

Answer:

5/6

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find GCD (Greatest common denominator)

Step 4: Rewrite fractions

3/6 + 2/6

Step 5: Add

5/6

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Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?

NISA [10]

Answer:

y = 5x

Step-by-step explanation:

y = kx

65 = k (13)

65/13 = k

k = 5

~~~~~~~~~~~~

y = 5x

6 0

3 years ago

Write the general equation for the circle that passes through the points (-1,2)(4,2)(-3,4)

Fed [463]

Answer:

x² + y² - 3x - 13y + 18 = 0

Step-by-step explanation:

Recall that the general equation of a circle looks something like this:

x² + y² + Ax + By + C = 0

substituting each of the points into the equation we get:

for (-1,2)

(-1)² + (2)² + A(-1) + B(2) + C = 0

1 + 4 -A+2B + C = 0

-A + 2B + C + 5 = 0 ------------ eq 1

for (4,2)

(4)² + (2)² + A(4) + B(2) + C = 0

16 + 4 + 4A + 2B + C = 0

4A + 2B + C + 20 = 0 ------------- eq 2

for (-3,4)

(-3)² + (4)² + A(-3) + B(4) + C = 0

9 + 16 -3A + 4B + C = 0

-3A + 4B + C + 25= 0 ----- eq 3

Now we have a system of equations with 3 equations and 3 unknowns.

Solving for A, B and C, we eventually get:

A = -3, B = -13, C = 18

Substituting these into the general equation:

x² + y² + Ax + By + C = 0

x² + y² - 3x - 13y + 18 = 0

6 0

4 years ago

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no sol

Ilya [14]

Answer:

A. 3(x-2)+x=4x+6 has no solution.

Step-by-step explanation:

We are provided the subsequent data in the question:

We evaluate the presented expressions to find which equations have no answer.

1) Image of solved equation is added below.

2) Image of solved equation is added below

3) Image of solved equation is added below

4) Image of solved equation is added below

Equation 1 has no solution.

3 0

3 years ago

Read 2 more answers

Fill out the missing values in the table

geniusboy [140]

Step-by-step explanation:

1 = 18

5 = 18 x 4

0.5 = 0.092

3.5 = 0.06

8 0

3 years ago

A polling company has been hired to determine the approval rating for a local member of Congress. The company completed the poll

Gnoma [55]

Answer:

The answer is B. The sample was biased because the survey was only given to a select group (the males). An unbiased sample would be a large group of random people (all genders included).

3 0

3 years ago