The number 108 as a fraction can be written 108/1.
A. A coefficient is a constant multiplied with a variable. Example is 20 for 20c and 35 for 35w. A variable is expressed in numerical letters like cfor 20c and w for 35w. A constant is merely a number, like 23.50.
b. w = 12, c = 3; substitute these values to the given equation :
20c+35w+23.5 = ?
20(3)+35(12)+23.5 = $503.5
c. The expression would change for the term 20c. Instead of 20c,it would then be changed to 25c. Note that the equation was made from the problem statement. If one statement changes, then the mathematical terms would be affected. The rest of the other terms would remain as is.
Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant
so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8
equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4
B is answer
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
