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FinnZ [79.3K]
3 years ago
10

Why does the inequality sign have to be flipped when multiplying and dividing by a negative number like in −2x > 10?

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

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Which number is located between 15 and 20 on a number line?
jeyben [28]

Answer: 17.5  is located between them.

Step-by-step explanation:

To find out which number is located between the numbers, find their mean average which sum of the numbers divide by the number of values.

15 + 20 = 35

35 / 2 = 17.5

8 0
3 years ago
What are the prime factors of 625?
labwork [276]
625 = 125 · 5 = 25 · 5 · 5 = 5 · 5 · 5 · 5 = 5⁴
7 0
3 years ago
(PLEASE ANSWER!!) a college student completed some courses worth 4 credits and some courses worth 3 credits. the student earned
Ierofanga [76]

The college student took 13 courses of 3 credit hours.

Step-by-step explanation:

Given,

Total credits = 59

Total courses = 18

Let,

Number of 3 credit hour courses = x

Number of 4 credit hour courses = y

According to given statement;

x+y=18     Eqn 1

3x+4y=59   Eqn 2

We will eliminate y to find the number of 3 credit hour courses, therefore,

Multiplying Eqn 1 by 4

4(x+y=18)\\4x+4y=72\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(4x+4y)-(3x+4y)=72-59\\4x+4y-3x-4y=13\\x=13

The college student took 13 courses of 3 credit hours.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10708697
  • brainly.com/question/10710410

#LearnwithBrainly

5 0
3 years ago
the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
7 0
3 years ago
Which of the following is the result of expanding 4 £ n=1 (2n-3)
geniusboy [140]

Answer: 8

Step-by-step explanation: the given expression is 2n-3

so when n=1, we will get, 2(1)-3=2-3=-1

when n=2, we will get, 2(2)-3= 4-3=-1

when n=3, we will get 2(3)-3= 6-3=3

when n=4, we will get 2(4)-3 = 8-3=5

so the required result of expansion is -1+1+3+5=8

answer is 8.

hope that helped!

3 0
3 years ago
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