Since the sum of the angles of a triangle is 180 degrees, we simply have to add all the angles and equate it to 180 to solve for x. So:
100 + 12x + 4 + 14x - 2 = 180
26x = 78
x = 3
So, x is equal to 3.
Answer:
(a) -6
Step-by-step explanation:
P(x) = ax^3 +bx - 3
- P(-1) = -a-b-3 = 0
- therefore a+b=-3
- P(1) = a+b-3
- P(1) = -3 - 3 = -6
- (a)
Answer:
3/2 x +1 = 5/4x - 5
3/2 x+1 =5/4
x−5
Step 1: Subtract 5/4x from both sides.
3/2 x+1−5/4
x=5
4x−5−5/4x
1/4x+1=−5
Step 2: Subtract 1 from both sides.
1/4x+1−1=−5−1
1/4
x=−6
Step 3: Multiply both sides by 4.
4*(1/4x)=(4)*(−6)
x=−24 Mary has 24 shells
Answer:
-x=−24
x = 24 shells
Step-by-step explanation:
1. 2 3/4 x 16 = 44 + 6 = 50 shells x= 16
2 3/4 x 24 = 66 + 6 = 72 x = 24
We see the side workings in bold as if Mary has 24 and Nancy has 1x more
Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.
2 3/4 x 18 = 49 1/2 + 6 = 55 1/2 x= 18
2. 2 3/4 x 16 = 44 -4 = 40 shells x = 16 2 3/4 x 24 = 66 - 4 = 62 x = 24
2 3/4 x 18 = 49 1/2 - 4 = 45 1/2 x = 18
3. 2 3/4 x 16 = 44 + 4 = 48 shells x = 16 2 3/4 x 24 = 66 + 4 = 70 x = 24
2 3/4 x 18 = 49 1/2 + 4 =53 1/2 x = 18
Answer: Eliza wakes up at 6:25 A.M.
Step-by-step explanation:
What I did is first used the 45 minutes to make the time 10:00 P.M. which leaves you with 8 hours and 25 minutes, then i added the 8 hours onto 10:00 P.M. which leaves you at 6:00 A.M. with 25 minutes left, then you add the 25 minutes onto 6:00 A.M. which puts it at 6:25 A.M.
1. A
2. A
3. 144 in^2
4. 128 cm^2
5. 169 cm^2
