All categories

2 years ago

What is the answer for P=, cost, and labor?

Mathematics

1 answer:

ollegr [7]2 years ago

4 0

9514 1404 393

Answer:

P = 160x +220y
cost: 50x +70y ≤ 7400
labor: 20x +25y ≤ 3500

Step-by-step explanation:

As with all cost problems, the total cost is the sum of products of number of items and item unit cost. Here, the items are acres of crops, and their unit costs are the respective cost per acre.

cost: 50x +70y ≤ 7400

Labor hours are added in similar fashion. The unit costs for labor hours are hours per acre for the different crops

labor: 20x +25y ≤ 3500

The profit function follows the same pattern:

P = 160x +220y

You might be interested in

Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases 40 Bright Streak paint sets from the Color a sp

natima [27]

Answer:

The paint sets cost $8 each.

Step-by-step explanation:

Tanvi pays $310 after getting a $10 discount. Before the disscount her total was $320. 320 divided by 40 sets is $8 per set.

4 0

2 years ago

Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a tee

Darya [45]

The answer to your question is: B

5 0

3 years ago

Read 2 more answers

Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. She paints her bedroom with these

Aleks04 [339]

Answer:

3( 73/84 )left over

Step-by-step explanation:

She had 6 gallons in total

2/3+1/4+1/2+5/7=179/84 = 2 ( 11/84)

6/1-179/84 = 325/84 = 3(73/84)

She used 179/84

She have left 325/84

179/84 + 325/84 = 6

With mixed numbers:

2 11/84

3 73/84

2+3=5 11/84+73/84= 84/84 =1

5+1=6

8 0

3 years ago

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

4 0

2 years ago

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

2 years ago

Read 2 more answers