MATHEMATICS MIDDLE SCHOOL

What is one solution of the following system?{2y-2x=12}
{x^2+y^2=36}
A.)(-6,0)
B.)(-2,4)
C.)(0,-6)
D.)(4,-2)

Answers

Answer 1
Answer:

Answer:

(-6, 0)

Step-by-step explanation:

Check out A):  (-6,0).  This satisfies 2y-2x=12:  2(0) - 2(-6) = 12, and also satisfies x^2+y^2=36:  (-6)^2 + 0^2 = 36.  (-6, 0) is therefore a solution of the given system.

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On a given day at a local amusement park, 77% of those in attendance rode the roller coaster. There were 1,200 people at the park that day.How many people rode the roller coaster? 52 people 276 people 924 people 1,148 people

3. jamal found the mean hourly wage of employees at his company using the data in the table. In a report he stated, “The typical salary at the company is about $23.00 per hour”. How is this graph misleading? 6.50 6.50 6.50 6.50 6.50
6.50 6.50 7.50 7.50 7.50
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A. The mean is not a good measure of the salaries because five employees have salaries far above fifteen employees’ salaries.
B. The mean of the data is not about $23.00.
C. Jamal should always use the highest wage
D. His statement is not misleading

4. which display is best to determine the relationship between the number of hours worked and the amount of money paid.
A. histogram with intervals of 5
B. histogram with intervals of 3
C. line plot
D. line graph

Answers

3. is A.

This is because the extreme values from the 5 employees affect the mean greatly, making it seem like a higher value, even though it is low.

4. is D. 

By creating a line graph, you will be able to see the relationship easily between the two factors, and even create a line of best fit.

two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.

Answers

Solution:

You need minimum of  two lines which are parallel or coincident to represent proportional relationship.

Suppose two lines in one dimensional plane is Coincident.These lines are represented by a and b. Then to represent proportional relationship between them ,we can write it as follows

a = K b

or, b= Ta, where K and T are proportionality constant.

→→Line in two dimensional coordinate plane, which passes through origin or are Coincident, represents proportional relationship.  

1. 2 x + 3 y= 5

2. 4 x + 6 y =10

Line 2 = 2 × Line 1

2. y= k x is equation of any line passing through origin, where k is constant of proportionality between x coordinate and y coordinate.

It's not necessary that either one represents a proportional
relationship.  But if either one does, then the other one doesn't. 
They can't both represent such a relationship.

The graph of a proportional relationship must go through
the origin.  If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)

The quadrilateral shown is a rectangle. What is m∠MJN?

A) 24° B) 31° C) 66° D) 90°

Answers

All angles of a rectangle is right angled or 90°.

C) 66°

Given:

∠KJN= 24°

Diagonals in a Rectangle:

  • The diagonals bisect each other but do not form right angles at the center.
  • They form linear pairs of angles, obtuse angle + acute angle, as at each of the diagonal.

Thus,

∠MJN+∠KJN=90°

∠MJN = (90-24)°

∠MJN = 66°

Therefore, correct option is C.

Find more information about diagonals here:

brainly.com/question/198970

Step-by-step explanation:

all the angles of the rectangle are right angle

therefore, angle MJK=90°

∠MJN+∠KJN=90°

∠MJN = (90-24)° = 66°

During training, Janice kayaked 4.68 miles on Monday and 5.61 miles on Tuesday. How much farther did she kayak on Tuesday?

Answers

Janice kayacked 0.93 miles

360 kilograms is 24% of blank kilograms

Answers

% * whole = part
24% = 0.24
0.24 * b = 360
b = 1500
360 kilograms is 24% of 1500 kilograms.

Find m
(-3x + 20)
(-2x + 55)

Answers

Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21

Step-by-step explanation:

Simplifying

(-3x + 20) + (-2x + 55) = 180

Reorder the terms:

(20 + -3x) + (-2x + 55) = 180

Remove parenthesis around (20 + -3x)

20 + -3x + (-2x + 55) = 180

Reorder the terms:

20 + -3x + (55 + -2x) = 180

Remove parenthesis around (55 + -2x)

20 + -3x + 55 + -2x = 180

Reorder the terms:

20 + 55 + -3x + -2x = 180

Combine like terms: 20 + 55 = 75

75 + -3x + -2x = 180

Combine like terms: -3x + -2x = -5x

75 + -5x = 180

Solving

75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

75 + -75 + -5x = 180 + -75

Combine like terms: 75 + -75 = 0

0 + -5x = 180 + -75

-5x = 180 + -75

Combine like terms: 180 + -75 = 105

-5x = 105

Divide each side by '-5'.

x = -21

Simplifying

x = -21
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