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Lemur [1.5K]
1 year ago
4

Given the ordered pairs below, determine which are solutions to the inequality x + y > -5(4,9), (-4,7), (0,-6), (-7,8), (-6,-

3)
Mathematics
1 answer:
GenaCL600 [577]1 year ago
3 0

Answer

(-4,7), (0,-6)

Explanation

Given inequality:

x + y > -5

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-2 = n - 12<br> solve for n
never [62]

Answer:

10

Step-by-step explanation:

move twelve to the other side of the equation, and isolate x. add 12 to -2, and you'll get 10

8 0
3 years ago
Read 2 more answers
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Lana71 [14]

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

4 0
3 years ago
1.Could 18 in, 6 in, and 13 in, form a triangle?
lianna [129]

Answer:

1. yes

2. yes

3. no

4. no

5. yes

Step-by-step explanation:

The questions you're asking relate to the Triangle Inequality Theorem, which states that the two smallest sides (ex. 6 and 13) have to be of greater value than the largest side (ex. 18)

1. 6+13>18

2. 34+27>58

3. 29+9=38 (since the value of the two smallest sides are equal, it does not apply to the Triangle Inequality Theorem, and therefore won't be a triangle)

4. 12+12<25

5. 19+14>31

Happy to help <3

3 0
3 years ago
The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
yuradex [85]

Answer:


Step-by-step explanation:

Let x be the greater number and y be the smaller number. We know that their difference is 15, so we have

x-y=15

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

2x+8 = 3y-4 \iff 2x-3y = -12

So, we have the follwing system:

\begin{cases} x-y=15\\2x-3y = -12\end{cases}

From the first equation, we can derive x = y+15, and substitute this expression in the second equation to get

2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42

Substitute this value for y in the first equation to get

x-42=15 \iff x=15+42 \iff x = 57

8 0
3 years ago
Find the 17 th term of each sequence. a₁₆ = 1/5, d= 1/2
Dmitry [639]

7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.

Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:

a₁₇ =  a₁₆ + d

    =  1/5 + 1/2

    = 7/10

<h3>How to solve an equation?</h3>

To solve linear equations, utilize the steps that are provided below.

  1. Remove parentheses from each side of the equation and combine similar terms to make it simpler.
  2. To separate the variable term on one side of the equation, use addition or subtraction.
  3. To find the variable, use division or multiplication.
  4. The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4

3 0
1 year ago
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