Mathematics, 29.09.2019 12:50, jor66

Asalsa recipe uses green pepper, onion, and tomato in the extended ratio 1: 3: 9. how many cups of onion are needed to make 117 cups of salsa?

Answers: 1

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Answers

answered: silverns

Green pepper: 1 k
Onion: 3 k
Tomato: 9 k
1 k + 3 k + 9 k = 13 k
k = 117 : 13 = 9
3 k = 3 * 9 = 27 cups of onion.

answered: kayla65u

The number of cups of onion that are needed to make 117 cups of salsa is $\boxed{27}.$

Further explanation:

The proportionality equation can be expressed as follows,

$y \propto x$

The value of changes as changes. If the value of increases then the value of is also increasing.

The inversely proportional relationship can be expressed as,

$y \propto \dfrac{1}{x}$

The equation can be expressed as follows,

y = kx

Here, k is the proportionality constant.

Given:

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1:3:9.

Explanation:

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1:3:9.

Let us consider that the amount of green pepper is $\boxed{1x}.$

Let us consider that the amount of onion is $\boxed{3x}.$

Let us consider that the amount of tomato is $\boxed{9x}.$

The total amount green pepper, onion and tomato can be obtained as follows,

$\begin{aligned}{\text{Total}} &= x + 3x + 9x\\&= 13x\\\end{aligned}$

There are 117 cups of salsa.

The value of can be obtained as follows,

$\begin{aligned}13x &= 117\\x &= \frac{{117}}{{13}}\\x&= 9\\\end{aligned}$

The amount of onion used to make 117 cups of salsa can be obtained as follows,

$\begin{aligned}{\text{Amount of onion}} &= 3 \times 9\\&= 27\\\end{aligned}$

The number of cups of onion that are needed to make 117 cups of salsa is $\boxed{27}.$

Learn more:

Learn more about inverse of the function link. Learn more about equation of circle link. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: proportional, salsa, recipe, green pepper, onion, tomato, extended, ratio, 1:3:9, cups, cups of onion, 117 cups, directly proportional, constant, proportionality equation, constant of proportionality.

answered: Guest

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

Need , 5. find the perimeter. a. 40x – 10 b. 12x – 5 c. 20x – 5 d. 20x – 3

answered: Guest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

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Asalsa recipe uses green pepper, onion, and tomato in the extended ratio 1: 3: 9. how many cups of o...