Answer:
x = (-29)/5
Step-by-step explanation:
Solve for x:
(2 (x - 5))/3 = (3 (x + 1))/2
Multiply both sides by 6:
(6×2 (x - 5))/3 = (6×3 (x + 1))/2
6/3 = (3×2)/3 = 2:
2×2 (x - 5) = (6×3 (x + 1))/2
6/2 = (2×3)/2 = 3:
2×2 (x - 5) = 3×3 (x + 1)
2×2 = 4:
4 (x - 5) = 3×3 (x + 1)
3×3 = 9:
4 (x - 5) = 9 (x + 1)
Expand out terms of the left hand side:
4 x - 20 = 9 (x + 1)
Expand out terms of the right hand side:
4 x - 20 = 9 x + 9
Subtract 9 x from both sides:
(4 x - 9 x) - 20 = (9 x - 9 x) + 9
4 x - 9 x = -5 x:
-5 x - 20 = (9 x - 9 x) + 9
9 x - 9 x = 0:
-5 x - 20 = 9
Add 20 to both sides:
(20 - 20) - 5 x = 20 + 9
20 - 20 = 0:
-5 x = 9 + 20
9 + 20 = 29:
-5 x = 29
Divide both sides of -5 x = 29 by -5:
(-5 x)/(-5) = 29/(-5)
(-5)/(-5) = 1:
x = 29/(-5)
Multiply numerator and denominator of 29/(-5) by -1:
Answer: x = (-29)/5
Answer:
x can be 10 or -10
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation:
2.6 - 0.8 = 1.8
Answer:
2(34 + 12) > 5b
Step-by-step explanation:
A) 16
B) 18
Pls mark Brainliest :D
Answer:
<u>Total surface area</u>
1) 46cm²
4) 304cm²
Step-by-step explanation:
1) First you need to work out each face on its own, opposites will be the same such as the front and back, top and bottom, side to side, because its a rectangle.
Formula : Base x height
Front/back : 5x3=15 and 15 =30 (added together)
top/bottom : 1x5= 5 and 5 = 10
side/side : 3x1= 3 and 3 = 6
30+10+6=46cm²
4) lets work out the easy ones first using the same formula from question 1 for one surface area but this is a trapezium, which is a irregular quadratical shape so the sides would most liky be different from each other except the front and back.
Top : 5x8=40
bottom : 3x10=30
right side : 12x8=96
Left side : 12x10=120
front/back= 12x3=36 / 2 = 18
Because if u added another side to make it a rectangle then divide by 2 would get the answer or 1/2 x base x height also works.
40+30+96+120+18=304cm²
