Answer:
What is an inverse?
Recall that a number multiplied by its inverse equals 1. From basic arithmetic we know that:
The inverse of a number A is 1/A since A * 1/A = 1 (e.g. the inverse of 5 is 1/5)
All real numbers other than 0 have an inverse
Multiplying a number by the inverse of A is equivalent to dividing by A (e.g. 10/5 is the same as 10* 1/5)
What is a modular inverse?
In modular arithmetic we do not have a division operation. However, we do have modular inverses.
The modular inverse of A (mod C) is A^-1
(A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1
Only the numbers coprime to C (numbers that share no prime factors with C) have a modular inverse (mod C)
Step-by-step explanation:
Please check image.
Answer:
B
Step-by-step explanation:
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
we can look at the trend line, find the slope.
let's start at the start of the line, (0, 5).
the line goes up 5 units and goes right 1 unit, so that means the slope is 5/1, or 5.
so you know the slope is 5x. now let's see the y-intercept, ask yourself this, where is the start of the line ? we already answered that: (0, 5). so the y-intercept is 5.
the equation should look like y = 5x + 5, so the answer is C
Answer:
22 ft by 18 ft
Step-by-step explanation:
Area = l * w
Area = (x+8) * (x+4) = x^2 +12x+32
396 = x^2 +12x+32
400 = (x+6)^2
20 = x+6
x = 14
x+8 = 22
x+4 = 18