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3 years ago

Mathematics algebra essay

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

The answer is D $3.35

Step-by-step explanation:

$2.35 + .25x = 1.75 + .40x \\ 2.35 = 1.75 + .40x - .25x \\ 2.35 = 1.75 + .15x \\ 2.35 - 1.75 = .15x \\ .60 = .15x \\ \frac{.60}{.15} = x \\ x = 4$

$2.35 + .25(4) = 2.35 + 1 = 3.35$

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Find the value of r so the line that passes through each pair of points has the given slope.

padilas [110]

Answer:

- 4

Step-by-step explanation:

( 3 - r ) / ( 1 + 5) = 7/6

$\frac{3-r}{1+5}$ = $\frac{7}{6}$ ⇒ 3 - r = 7 ⇒ r = - 4

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3 years ago

Kristoff ran more than 16 miles. Kristoff wants to write an inequality for the number of miles he ran. What constant should he u

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4 years ago

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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

The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4

muminat

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

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3 years ago

Find the area of a circle with a radius of 6 miles

AveGali [126]

Answer:

36π

Step-by-step explanation:

the formula of the area of the circle is πr^2

if the radius is 6, then its 6*6*π which is 36π

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3 years ago

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