7)
You are asked to solve 12x – 18 = 126. Which three statements are true?
A)
First, subtract 126 from both sides.
B)
First, add 18 to both sides.
12x = 144
D)
x=9.
E
x = 12

=======================================================

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

Again the order matters.

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

Now let's define the following events

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

From here, multiply the probability values with their corresponding net values

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

Answer: 9 L

Step-by-step explanation:

Given

The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]

It is filled with [tex]\frac{3}{5}[/tex] of the height

Water present in the container

[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]

Also, [tex]1\ L=1000\ cm^3[/tex]

[tex]\therefore 18,000\ cm^3=18\ L[/tex]

Now, half of the water is poured out

So, half is left

[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]

Thus, 9 L of water is left in the container

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

z = 180 - 52 = 128°

x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°

x = 180 - 85 = 95°

y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°

y = 180 - 33 = 147°

Answer:

x=5

Step-by-step explanation:

11^X=11²×11³

11^X=11^5

x=5

Answer:

Anwer is x=5

Step-by-step explanation:

11^x-3=11

11^x-3= 121

x-3=2

add 3 both side

x=5 help this help 5 star please :)

2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.

I would expect 1 out of the next 10 to be chipped.

Answer:

1

Step-by-step explanation:

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

Answer:

$1,800

Step-by-step explanation:

Given

Total revenue last year = $2,800

If they spent 1/4 of their revenues on marketing;

Amount spent on marketing = 1/4 * 2800

Amount spent on marketing = $700

Remaining money = 2800 - 700

Remaining money = $2100

If 1/7 of the remaining money is spent on upgrading their facilities, then;

Amount spent on upgrading facilities = 1/7 * 2100

Amount spent on upgrading facilities = $300

Total amount spent on marketing and facilities  = $700 + $300

Total amount spent on marketing and facilities  = $1000

Amount left = $2,800 - $1,000

Amount left = $1,800

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

Answer:

it's 8

Step-by-step explanation:

(10×1/5)^3=2^3=8

Answer:

The answer is 8!

Step-by-step explanation:

Subtract the like terms.  As you can see, the 10 in the numerator and denominator have the same base.  Therefore, you can subtract the exponents, which would be 10^1, or 10.  You would do the same for 5, which would be 5^-1, or 1/5.  You would then make this one fraction, the 10 and 5.  The fraction would be 10/5, or 2 once simplified.  Now, don't forget the outside parentheses!  You would do 2^3, and your final answer would be 8.  Hope this helps!

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

PLEASE SHOW THE PROBLEM WE CANT SEE

Answer:

an answer to a problem

Step-by-step explanation:

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

Answer:

-20 feet

Step-by-step explanation:

change in depth = number of feet below the surface + number of depth on the surface

Because the submarine is below surface, a value of -30 would be given

-30 + 10 = -20 feet

Answer:

C. x is the variable

Step-by-step explanation:

easy...

Answer:

f(3)= 33

Step-by-step explanation:

hello :

f(x) =8x+9

put x = 3    you have : f(3) =8(3)+9 = 24 + 9 =33

Answer:

12 ft

Step-by-step explanation:

Given data

Area= 84 ft^2

Length= 7ft

The expression for the area is

Area= L*W

substitute

84=7*W

W= 84/7

W= 12ft

Hence the width is 12 ft

Answer:12ft

Step-by-step explanation:

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

Answer:

I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!

Step-by-step explanation:

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved