All categories

1 year ago

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference

Mathematics

1 answer:

FinnZ [79.3K]1 year ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of open acres

y ----> the number of developed acres

we know that

$x+y \geq 4$ -----> inequality A

$x\leq 1$ ----> inequality B

Remember that

if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1

Solve the system of equations by graphing

The solution is the shaded area (Note The number of acres cannot be a negative number)

The graph in the attached figure

You might be interested in

Given: QS bisects ∠TQR; TQ ≅ RQ.

krek1111 [17]

It is given,
rqs,
the reflexive property,
sas

7 0

1 year ago

Read 2 more answers

Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?

uysha [10]

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= $\frac{1}{3} +\frac{1}{4}$

= $\frac{7}{12}$

Actual money spent = $\frac{7}{12}$ * £636

= £371

Money he has left = £(636 - 371)

= £265

6 0

1 year ago

Read 2 more answers

Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of de

Mice21 [21]

Answer:

Step-by-step explanation:

p = Total Number of Defects / Sample Size x Number of Samples

302 / 300 x 30 = 0.0336

z = Number of standard deviation = 3

σ = Standard deviation of sampling distribution

σ = p (1- p) / n = 0.0336 (1- 0.0336) / 300 = 0.0336 x 0.9664 / 300 = 0.0104

Here, n = number of observations in each sample

UCL = p+zσ = 0.0336 + 3(0.0104) = 0.0336 + 0.0312 = 0.0648 = 0.065

LCL = p-zσ = 0.0336 - 0.0312 = 0.0024 = 0.002

b) Hence, Lower control limit cannot be a negative number as percent defective cannot be a negative number. As such, No. Percent of defective records cannot be a negative number.

7 0

2 years ago

The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?

sdas [7]

<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

$x\sqrt{2} =18$

From here we can solve for x. Firstly, divide both sides by √2.

$x=\frac{18}{\sqrt{2}}$

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

$\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}$