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Hunter-Best [27]

4 years ago

7

for every part produced by a factory, there are 5 ounces of scrap aluminum that can be recycled. there are 16 ounces in 1 pound

and 2,000 pounds in 1 ton. how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

1 answer:

Delicious77 [7]4 years ago

6 0

1 ton = 2000 pounds
2000*16=32000ounces
32000/5 = 6400 parts

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Which system of linear inequalities Is represented by this graphed solution?

SashulF [63]

Answer:

y ≥ 3x - 1

y < $-\frac{1}{2}x+2$

Step-by-step explanation:

Let the equation of the solid line passing through (x', y') given in graph is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of the solid line =

m = $\frac{3}{1}$

m = 3

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = 3x - 1

Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,

y ≥ 3x - 1

For the dotted line,

Slope of the line (m) = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-2}{4}$

= $-\frac{1}{2}$

y-intercept (b) = 2

Equation of the dotted line → y = $-\frac{1}{2}x+2$

Since, shaded (grey color) area is below the dotted line,

Inequality representing the solution area will be,

y < $-\frac{1}{2}x+2$

7 0

3 years ago

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)

mamaluj [8]

Answer:

First option: $\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

$b=3$

2. The lines are solid, then the symbol of the inequality must be $\leq$ or $\geq$ .

3. Since both shaded regions are below the solid lines, the symbol is:

$\leq$

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

$\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

6 0

3 years ago

Read 2 more answers

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago

GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!

Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

The first equation is of the line.
The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

$x + 2y = 6$

$2y = 6 - x$

$y = -0.5x + 2$

Thus it is a decreasing line, which removes options J.

We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

As for the second equation, the normalized equation is:

$3x^2 + 3y^2 = 12$

$3(x^2 + y^2) = 12$

$x^2 + y^2 = 4$

Thus, a circle centered at the origin and with radius 2.
Now, we have to check if the line $x + 2y - 6 = 0$ , with coefficients $a = 1, b = 2, c = -6$ , intersects the circle, of centre $x = 0, y = 0$
First, we find the following distance:

$d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}$

Considering the coefficients of the line and the center of the circle.

$d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1$

This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0

3 years ago

Draw a rectangle that is 3 squares long and 1/2 of a square wide. Then add up the partial squares to find the area. Multiply to

nataly862011 [7]

Answer:

3/2 or 1 1/2 squares.

Step-by-step explanation:

It says it on the image attached. Also, it's what you get when you multiply

$3*\frac{1}{2}$ .

7 0

2 years ago

Read 2 more answers