Answer: m=-1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
m-(-(4+m)+2)=0
1.1 Pull out like factors :
2m + 2 = 2 • (m + 1)
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : m+1 = 0
Subtract 1 from both sides of the equation :
m = -1
Answer:
15
Step-by-step explanation:
The formula for distance when given vertices is
√(x2 - x1)² + (y2- y1)²
Where we have points (x1,y1) and (x2,y2)
So, (-2,7) and (3, -3)
Distance = √(3 -(-2))² + (-3 -7)²
= √5² + (-10)²
= √25 + 100
= √125
= 15
Therefore, the distance between (-2,7) and (3, -3) is 15
17. The letter is J
The letter appears 3 times
18. Lefthanded students = 4 students
<h3>How to determine the factors</h3>
17. We have that 1/4 of the months of the year start with the same letter
It is important to note that:
January, June and July all start with the same letter
The letter is J
The letter appears 3 times
18. Total number of students = 24
5/ 6 are right handed
Right handed students = 24 × 5/ 6 = 4 × 5 = 20 students
Lefthanded students = 24 - righthanded students
Lefthanded students = 24 - 20
Lefthanded students = 4 students
Thus, we can see that the letter that appear in 3 months of the year is J
Learn more about word problems here:
brainly.com/question/13818690
#SPJ1
Answer:
<h2>400 L of orange punch</h2>
Step-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
<u>400 L of orange punch</u>
HAHAHAH SAME.... just use a calculator