'A certain number divided by four, added to twice that number equals 12', all written in an equation

a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more peo

Hatshy [7]

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

6 0

2 years ago

Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

Also each system is independent of the other to detect missile attack.

a) the probability that a single detection system will detect an attack= $0.83$

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

= $1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711$

c) If three systems are installed, the probability that at least one of the systems will detect the attack

= 1- none of the three systems detect attack

$= (1-0.17^3)\\=1-0.004913\\=0.995087$

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

7 0

2 years ago

Please help!!

garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

$LSA = \pi rl$ and

The total surface area of the cone is

$TSA = \pi r^{2} + \pi r l$

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

$LSA = \pi (14)(27)$ sq ft

or, $LSA = 1187.5$ sq ft

Again,

$TSA = \pi(14^2)+\pi (14)(27)$ sq ft

or, $TSA = 1803.3$ sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

5 0

2 years ago

Choose the system of inequalities that best matches the graph below.

lapo4ka [179]

Answer:

D) $y\:$ , $y\:>\:-x$

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of 2.

It has equation : $y=2x+2$

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

$y\:$

The blue boundary line passes through the origin and has slope $-1$ .

Its equation is $y=-x.$

Since the boundary line is not solid and the right half-plane is shaded, its inequality is $y\:>\:-x$

The correct choice is D.

4 0

3 years ago

Las fracciones que tienen denominador 10, 100, 1000, etc las llamamos fracciones decimales y a su vez las podemos escribir como

Sindrei [870]

Answer:

las fracciones decimales son:

21/10 = 2,1

439/100 = 4,39

34/10 = 3,4

35/1000 = 0,035

851 / 1000 = 0,851

Step-by-step explanation:

Toda fraccion cuyo denominador (el numero de abajo) es multiplo de 10 es considerada una fraccion decimal. No importa si el numerador es mayor al denominador. Justamente el sistema decimal fue concebido para facilitar la multiplicacion y division de los numeros por algun multiplo de 10.

8 0

2 years ago

'A certain number divided by four, added to twice that number equals 12', all written in an equation​

'A certain number divided by four, added to twice that number equals 12', all written in an equation