MATHEMATICS MIDDLE SCHOOL

Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation6x - y/2 = 14?
•
(-9, 3) is a solution to the equation.
(2, - 4) is a solution to the equation.
Neither ordered pair is a solution.
Both ordered pairs are solutions.

Answers

Answer 1
Answer:

Answer:

(2, - 4) is a solution to the equation

Step-by-step explanation:

Substitute the x and y coordinates of the points into the left side of the equation and if equal to the right side then they are a solution.

(- 9, 3 )

6(- 9) - (3)/(2)

= - 54 - 1.5 = - 55.5 ≠ 14 ← not a solution

(2, - 4)

6(2) - (-4)/(2)

= 12 + 2 = 14 ← This is a solution

Thus (2, - 4) is a solution to the equation

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Answers

35 that what i think it is hope it helps you

Answer:

6

Step-by-step explanation:

if this is on bigideas ch 9.2 I did it and got it right

Use the prime factorizations of 72 and 120 to find their gcf

Answers

72 = 2 * 2* 2 * 3 * 3

120 = 2 * 2 * 2 * 3 * 5

The greatest common factor (GCF) would be gotten from the factors common to both 72 and 120.

The common =  2 * 2 * 2 = 8

The GCF = 8
The gcf is 24 because that's the highest number you can multiply multiple times to get both those numbers.

Please anyone help me on this question

Answers

Answer:

a) 60

b) 0.24

c) 150

Step-by-step explanation:

a) P(green) = ⅕

Expected no. = 300 × ⅕

= 60

b) total = 300

P(purple) = 72/300

= 6/25 = 0.24

c) P(blue) = 45/300

= 3/20 = 0.15

Expected no.: 1000 × 0.15

= 150

How do you solve this equation?

Answers

Thenswer is p is greater than or equal to 4. which, you already wrote. 

steps:
1. subtract 140 from both sides. now you have: 15p (is greater than or equal to) 60.

2. divide both sides by 15. 

3. simplify. now, the answer is p (is greater than or equal to) 4.
The inequation is:
140+15x≥200

15x≥200-140
15x≥60
x≥60/15
x≥4   

Therefore: she has to sell at least 4 paintings

Tina is making rectangular signs. Each poster has an area of 1800 square inches and the length is 30 inches more than the width. Find the length and width of her sign. If x represents the width of each sign, select all of the equations that could be used to solve this problem. 2(x)+2(x+30)=1800 (x+30)(x)=1800 x(30x)=1800 x(x+30)=1800 Part 2 Find the dimensions of each rectangular sign. width = inches length = inches

Answers

Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

30x + x^(2) =1800 \n x^(2) +30x-1800=0 \n x^(2) -30x+60x-1800=0 \n ( x^(2) -30x)+(60x-1800)=0 \n x(x-30)+60(x-30)=0 \n (x+60)(x-30)=0
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.

Can u please answer this question

Answers

One Way:
We can change the mixed number to a decimal for comparing.

1(1)/(4) m = (5)/(4) m = 1.25 m

1.4 m     >    1.25 m
Darren   >     Luke

Darren's jump was higher by (1.4-1.25) 0.15 m

Or another way change the decimal to a fraction and the mixed to an improper fraction too.

1(1)/(4) = (5)/(4) (Luke)
1.4 = (7)/(5)                               (Darren)
We need a common denominator to compare
(5*5)/(4*5)       (Luke)
(7*4)/(5*4)       (Darren)
(25)/(20)          (Luke)
(28)/(20)          (Darren)

(28)/(20)  >   (25)/(20)
        Darren           >            Luke
  
By:
(28)/(20) - (25)/(20) = (3)/(20)
Which is also by 0.15 m
Darren jumps higher and by 0.15 m
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