If you would like to solve the equation b^2 + 9 * b + 18 = 0 for the variable b, you can do this using the following step:
b^2 + 9 * b + 18 = 0
(b + 3) * (b + 6) = 0
Result:
1. solution: b = - 3
2. solution: b = - 6
Answer:
Equivalent fractions are fractions that have the same value or amount even if they seem different. They are a type of fraction that are equivalent in nature.
Step-by-step explanation:
Equivalent means being equal in value, function, amount or meaning. Even if they seem different they are the same in their own way (and I'm talking about fractions now)
Answer:
400$
Step-by-step explanation:
Let C.P. of the watch = Rs. 100
When profit =5%; S.P. = Rs. (100+5)
= Rs. 105
and when profit = 11%;
S.P. = Rs. (100+11)
=Rs.111
Difference of two selling prices
= Rs. 111-Rs.105 = Rs.6
When watch sold for Rs. 6 more; then C.P. of the watch = Rs.
100
6
When watch sold for Rs. 24 more; then C.P. of the watch = Rs.
100
6
×
24
= Rs.
100
×
24
6
=400
Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
Answer:
Sana takes 10 minutes longer than Ali in bathroom
Step-by-step explanation:
Given:
Ali Showers, brushes teeth 20 minutes
Thus, Ali takes 20 minutes time in bathroom
Sana Takes a bath, brushes teeth ½ hour
1 hour has 60 minutes
1/2 hour has 60/2=30 minutes
Thus, Sana takes 30 minutes time in bathroom.
Time, taken more by sana than Ali = 30 minutes - 20 minutes = 10 minutes
.
Thus, Sana takes 10 minutes longer than Ali in bathroom.
