There are 32 patients in a waiting room, and 8 of them are children. What is the child to adult ratio (expressed in the lowest terms)?
A) 6:20
B) 3:4
C) 1:4
D)2:12

A. all of the answers are correct when you plug in these values

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

2x - y - z = -1        ...1

3x + y - z = 2       ...2

x + y - 5z = -8      ...3

Add equations 1 and 2, then we have

5x - 2z = 1       ...4

Add equations 1 and 3, then we have

3x - 6z = -9     ...5

From equations 4 and 5, then we have

15x - 3x = 12

12x = 12

x = 1

From equation 4, then we have

5(1) - 2z = 1

2z = 4

z = 2

From equation 1, then we have

2(1) - y - 2 = -1

y = 1

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Given:

Principal value = 4580

Rate of interest = 6% apr compounded weekly

To find:

The total amount after 2 years.

Solution:

The formula for amount is

[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

1 year = 52 week

n=52

Putting P=4580, r=6, n=52, t=2 in the above formula, we get

[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]

[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]

[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]

[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]

On further simplification, we get

[tex]A=4580(1.1274188)[/tex]

[tex]A=5163.5781[/tex]

[tex]A\approx 5163.58[/tex]

Therefore, the ending balance after 2 years is 5163.58.

Answer:

zero and negative four

I hope that's what you meant I don't know

Step-by-step explanation:

f(x) = -(x - 2)

=-(2-2)

=0

f(x) = -(x - 2)

=-(6-2)

=-4

Answer:

1) Gold

2) iron

3) mercury

4) potassium

5) Sodium

6) lead

7) tin

8) antimony

9) Tungsten

10) copper

11) silver

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given three sides of triangle: a, b and c, and a<c and b<c, then the triangle exist only if  a+b>c

therefore:

if a = 11 and b = 6 and c = ??

then:  11 + 6 > c

            c < 17

if a = 6 and c = 11 and b = ?? {or b=6 and a=??}

then:  6 + b > 11  {subtract 6 from both sides}

            b > 5

9514 1404 393

Answer:

  (c)  5

Step-by-step explanation:

Put 4 where x is and do the arithmetic.

  F(4) = 3·4 -7 = 12 -7

  F(4) = 5

Answer: sorry I don’t understand the question

Step-by-step explanation:

Answer:

32.5 feet

Step-by-step explanation:

Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.

6.5 x 5 = 32.5

Answer:

yes you do, 100 divided by 25 = 4

4 times 21 = 84

Start by changing your minus signs to plus negatives.

So change the -6 to plus a negative 6

and change the -7x to plus a negative 7z.

Now combine like terms → your "z" terms and your numbers.

So -4z + -7x is -11z and -6 + 3 is -3.

Take a look below.

Answer:

[tex]f(x)=x-1[/tex]

Step-by-step explanation:

From the question we are told that

Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]

Generally we divide the numerator by the denominator mathematically

  [tex]y=x-4\sqrt{x^2-5x+6}[/tex]

  [tex]y=x-1[/tex]

Therefore the asymptote is given as

[tex]f(x)=x-1[/tex],

Answer:

b

Step-by-step explanation:

its on the half

Answer:

D. 60=(x+45)

Step-by-step explanation:

They are the same degree so they should equal eachother

Answer:

The answer should be D) 60 = (x + 45)

Step-by-step explanation:

Explanation:

-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-

∠TAB = x°

∠TAC = 90°

(Angle between tangent and radius)

-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-

∠CAB = a = 90 - x

∠CBA = 90°

(Angle in a semi circle)

∠ACB = 180 - 90 - a (3ʳᵈ angle of triangle)

-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-'-

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

Answer:

5.50

Step-by-step explanation:

the 7 tells the 9 to round up and that will make the 4 turn into a 5 so it would end up being 5.50

Hey there! The answer to your problem is:

6 square units: rectangle PQRS, triangle TUV

8 square units: rectangle ABCD, triangle EFG

Answer:

what he said it right

Step-by-step explanation:

Answer:

it should be the second one and the forth one

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need to graph 2 points then you have to draw a line through it.

The 2 points I used were (0,5) and (1,2). Then just draw a line.

Answer:

the soda's are one$

and the snacks are three$

Answer:

2001 is the square number of

Exact Form: √2001

Decimal Form: 44.73253849…

1007 is the square number of​

Exact Form: √1007

Decimal Form: 31.73326330…

Step-by-step explanation:

Answer:

Square of 2001 is 44.73. Rounded to the nearest hundredth

Square of 1007 is 31.73. Rounded to the nearest hundredth

Answer:

3/10

Step-by-step explanation:

2,3,5 are the primes on the spinner so P(prime) = 3/5

probability of 'not heads' means P(tails) which equals 1/2

multiply the two probabilities 3/5 · 1/2 = 3/10

Answer:

1 year 1470

2 years 2220

Step-by-step explanation:

Try it, it correct

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

Answer:

x = 2, x = 1/3

Step-by-step explanation:

(3x-2)^2-4=9x-6

9x^2-12x=9x-6

9x^2-12x+6=9x

9x^2-21x+6=0

(then solve with quadratic formula)

x = 2, x = 1/3