What is 12378 x 129 divided by 67 x 349 plus 18476 divided by 6 x2390

What is the answer to page 156-157 on chapter 4 proportions relationship.

timurjin [86]

Proportional relationships: A relationship between two equal ratios. Proportions are the comparison of two equal ratios. Therefore, proportionalrelationships are relationships between two equal ratios. For example, oranges are sold in a bag of 5 for $2. The ratio of oranges to their cost is 5:2 or.In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the coefficient of proportionality or proportionality constant.

4 0

3 years ago

An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera

atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

$Cost = 51.275$

Step-by-step explanation:

The given parameters can be summarized as:

$\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}$

Where: x = Soybeans and y = Oats.

So, the system of equations are:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

$Cost = 21x + 7y$

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

From the attached graph, we have:

$(x_1,y_1) = (1.636,2.545)$

$(x_2,y_2) = (1.775,1.575)$

$(x_3,y_3) = (2.023,1.256)$

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

$Cost = 21x + 7y$

$(x_1,y_1) = (1.636,2.545)$

$Cost = 21 * 1.636 + 7 * 2.545$

$Cost = 52.171$

$(x_2,y_2) = (1.775,1.575)$

$Cost = 21 * 1.775 + 7 * 1.575$

$Cost = 48.3$

$(x_3,y_3) = (2.023,1.256)$

$Cost = 21 * 2.023 + 7 * 1.256$

$Cost = 51.275$

The values of x and y that gives the minimum cost is:

$(x_2,y_2) = (1.775,1.575)$

and the minimum cost is:

$Cost = 48.3$

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0

3 years ago

Which of the following is equal to the fraction below?

Vesna [10]

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as $(\frac{a}{b})^n$ , the exponent n can be "distributed" as: $(\frac{a}{b})^n= \frac{a^n}{b^n}$ .

In our case, the power, n=11; a=7 and b=4. Thus, the expression $(\frac{7}{4})^{11}$ , can be written as $\frac{7^{11}}{4^{11}}$ .

Thus, out of the given options, option A is the correct option.

6 0

3 years ago

Read 2 more answers

X/4 7

Alina [70]

Formula for area of a rectangle is the base x height.

3 0

3 years ago

Solve using the substitution method -7x+y =42 and 5x+13y =66

leva [86]

-7x+y=42
y=42+7x

5x+13y=66
Substitute for y (meaning put 42+7x into the equation above instead of y because they are equal - see second line of my answer above)

5x+13[42+7x] = 66
5x +546 = 66
5x=66-546
5x=-480
x=-480/5
x=-96

5 0

3 years ago