To find out the answer, let's factor out -42 (as if it's a positive number).
42: 1 x 42, 2 x 21, 3 x 14, 6 x 7.
With these given factors and due to the product being negative, we will go on and off with them being negative to find which sum up to 11.
Let's try 1 and 42.
-1 + 42 = 41
-42 + 1 = -41.
1 x 41 is not our answer.
Let's try 2 and 21.
2 - 21 = -19
-2 + 21 = 19
2 x 21 is not our answer.
Let's try 3 and 14.
-3 + 14 = 11
3 - 14 = -11.
Your answer is:
-3 and 14 sum up to 11 and make a product of -42.
-3 and 14 are your numbers.
I hope this helps!
Answer:
151°
Step-by-step explanation:
Pentagons interior angles are always 540°. So to solve, you must put
540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31). After solving this you will get x=14 and you can now substitute x in for measure s.
13(14) -31
182 - 31
measure of s = 151°
Steps:
1. Do a proportion
2/3 times x/12
2. Do 12 times 2=24
3. Divide 24 by 3
4. Your answer is 8 girls
Or you could do it this way
Steps:
1. You could have just multiplied the 2 by a 4 to get 8.12 boys divided by 3 boys is 4. That means you multiple the two by 4 to get the girls.
Answer:
40 miles per hour
Step-by-step explanation:
Given that:
Distance = 400 miles
Without tailwind :
Time taken = 2.5 hours
Speed = distance / time
Speed = 400 miles / 2. 5
Speed = 160 miles per hour
With tail wind :
Time taken = 2 hours
Net speed = 160 + x
X. = speed of tail wind
Distance = speed * time
400 = (160 + x) * 2
400 = 320 + 2x
400 - 320 = 2x
80 = 2x
x = 40
Speed of tailwind = 40 miles per hour.
The answer would be -8+-88a
