Answer:
x = 37/3 = 12.333
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
15x - 185 = 5 • (3x - 37)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 3x-37 = 0
Add 37 to both sides of the equation :
3x = 37
Divide both sides of the equation by 3:
x = 37/3 = 12.333
Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
Answer:
Option C) 113.0 feet squared
Step-by-step explanation:
We are given the following in the question:
Radius of circular garden = 4 feet
Length of path around garden = 2 feet
We have to find the total area of garden and path.
The garden and path together makes a bigger circle with radius
Area of garden and path =
Putting values, we get,
Thus, the correct answer is
Option C) 113.0 feet squared
Answer:
2.4 hours
Step-by-step explanation:
Get common denominators -
1/12 x 5/5 = 5/60
1/5 x 12/12 = 12/60
The turtle walks ata 5/60 a kilometer an hour.
divide remaining time by 5/60
(12/60) / (5/60) = 2.4 hours
