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Anna [14]
4 years ago
15

Which ordered pairs are solutions to the inequality 2x+y>−4?

Mathematics
1 answer:
alexgriva [62]4 years ago
4 0

Answer:

The ordered pairs are (5,-12), (-1,-1).

Step-by-step explanation:

Given : Inequality 2x+y>-4

To find : Which ordered pairs are solutions to the inequality ?

Solution :

We put the given options the point which satisfied the equation is the solution.

Inequality 2x+y>-4

1) (5,-12)

2(5)+(-12)>-4

10-12>-4

-2>-4

It is true.

2) (-1,-1)

2(-1)+(-1)>-4

-2-1>-4

-3>-4

It is true.

3) (-3,0)

2(-3)+(0)>-4

-6+0>-4

-6>-4

It is false.

4) (4,-12)

2(4)+(-12)>-4

8-12>-4

-4>-4

It is false.

Therefore, The ordered pairs are (5,-12), (-1,-1).

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Signs for science project displays are cut from pieces of poster board that measure 1 yard on each side. Each sign is LaTeX: \fr
iren [92.7K]

Answer:

27

Step-by-step explanation:

Given that :

Dimension of poster board = 1 yd by 1 yd

Dimension of each poster sign = 1/3 yd by 1/9 yd

Number of poster signs that can be cut :

Area of poster sign = 1/3 * 1/9 = 1/27 yard²

Area of poster board = 1 yard²

Number of poster signs that can be cut :

Area of poster board / area of poster sign

1 yard² ÷ (1/27) yard²

1 ÷ 1/27

1 * 27/1

= 27 poster signs

4 0
3 years ago
There are 25 students in Mr. Jones’ art class. Mr. Jones is planning a project where each student needs 0.3 jar of paint. Exactl
Katarina [22]

Answer:

7.5 jars

Step-by-step explanation:

There are 25 students in the art class.

Mr Jones is planning that for the project, each of the 25 students will need 0.3 jar of paint.

The amount of paint Mr Jones needs for this project is therefore the product of the number of students in the class by the amount of paint each student needs.

That is:

25 * 0.3 = 7.5 jars of paint

Mr Jones needs 7.5 jars of paint for the art project.

7 0
4 years ago
Solve the question and check the solution. Express numbers as integers or simplified fractions. 5(m+5)=7m+9
Yanka [14]

Answer:

m = 8

Step-by-step explanation:

5(m+5)=7m+9   (distribute & evaluate parenthesis)

5(m)+5(5)=7m+9

5m + 25 = 7m + 9  (move all m-terms to one side and constants to the other)

5m - 7m = 9 - 25  (evaluate both sides)

-2m = -16 (divide both sides by -2)

m = (-16) / ( -2) = 8

7 0
4 years ago
A meteor crashed onto a planet and caused a crater that was 15,219.88 in deep. Round your answer to the nearest tenth.​
tia_tia [17]

Answer:

15,219.90

Step-by-step explanation:

.88 rounded to the nearest tenth would be 90. 8 is closer to 10 than 0 therfore you round up to .90

7 0
3 years ago
What is the value of the expression 2m + m - 4(-2m +1-m)<br> When m<br> -8?
timama [110]

Answer:

The answer should be -124.

5 0
3 years ago
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