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Triss [41]
3 years ago
11

In the figure, side AB is given by the expression 5x+5x+3, and side BC is 3x+92x−4. The simplified expression for the area of re

ctangle ABCD is ________ and the restriction on x is_____
Mathematics
1 answer:
kherson [118]3 years ago
3 0
We are asked to solve for the simplified expression of rectangle ABCD and the restriction on x. The solution is shown below:
L = 3X + 92X -4 = 95X -4
W =5X + 5X +3 =10X +3

The formula is Area = L*W
Area = (95x-4) * (10x +3)
Area = 950x² + 285x - 40x -12
 Area = 950x² + 245x -12
 x should be greater than zero    
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Help!! Any effort is very much appreciated
Tanya [424]

Answer:

-2

Step-by-step explanation:

Gradient/slope =  \frac{-1-19}{16-6}  = \frac{-20}{10}  = -2

3 0
3 years ago
Need the answer on this ​
denpristay [2]
None of the answers are correct because it’s definitely not “Given” because x=20 is like an answer. It’s also not “Distributive Property”, “subtraction Property”, and or “Additional Property” b/c there’s nothing that can be distributed, subtract or add. It’s just an answer.
3 0
3 years ago
Read 2 more answers
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
A roller coaster can take 162 passengers around the track in 9
Dvinal [7]

Answer: 18 people per minute

Step-by-step explanation: 162 divide by 9 equals 18

4 0
4 years ago
Read 2 more answers
Write each phrase as an algebraic expression
Tpy6a [65]

tye findamental theorem of calculs is cognitive


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4 years ago
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