Brenda is cooking couscous. the recipe says she requires 480 grams of couscous for 4 people. how many will she need for 14?

1680 gram

Step-by-step explanation:

Amount of couscous for 4 people = 480g

Amount of couscous for 1 person = 480 ÷ 4 =120 gram

Amount of couscous required for 14 people = 14 x couscous required for 1 person

= 14 x 120

= 1680 gram

1680grams

Step-by-step explanation: You can do it in two ways. First, you may calculate how many grams Brenda needs for 1 person and that's 480grams divided by 4 and that's 120grams. Then you can easily calculate 14 people as = 14 × 1person and since 1 person is 120g, then 14people= 14 × 120g = 1680g.

In another way, you can place the number of people in a ratio and equate it to the ratio of the grams. This is using a system of equivalent fractions. So you put 4 people divided by 14 people equal to 480 people divided by x grams. You have: 4/14 = 480/x. Cross multiply and you can have your answer as 1680grams. I hope that was helpful dear. Happy new year in advance.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240