"the sum of renting bowling shoes and $3 per

A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and

AfilCa [17]

Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

$x+y\leq 200$

so

Verify each case

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

$-50+160\leq 200$

$110\leq 200$ ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

$80+160\leq 200$

$240\leq 200$ ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

$75-200\leq 200$

$-125\leq 200$ ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case D) (60,135)

substitute the value of x and the value of y in the inequality and then compare the result

$60+135\leq 200$

$195\leq 200$ ----> is true

therefore

The point is a viable solution

5 0

3 years ago

Read 2 more answers

HELP. How long is the minor axis for the ellipse shown below?

kifflom [539]

Given:

The equation of ellipse is

$\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1$

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$ ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

$\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1$ ...(ii)

On comparing (i) and (ii), we get

$b^2=16$

Taking square root on both sides.

$b=\pm 4$

Consider only positive value of b because length cannot be negative.

$b=4$

Now,

Length of minor axis = $2b$

= $2(4)$

= $8$

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0

3 years ago

Help please if you can thanks

8_murik_8 [283]

Answer:

A. 8

Step-by-step explanation:

1kg=2.2

18.5 lbs= 8kg

5 0

3 years ago

Read 2 more answers

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

brainly.com/question/10452752

4 0

2 years ago

The base of a cube is shown. The area of the base is ft. What is the volume of the cube?

LuckyWell [14K]

Step-by-step explanation:

Area of base of cube

$= x \times x = {x}^{2} \\ \\ volume \: \\ = area \: of \: base \times height \\ = {x}^{2} \times x \\ = {x}^{3}$

7 0

4 years ago