What is 12.357 in expanded form

Answer:

18

Step-by-step explanation:

cranberries, oranges and lemon extracts makes =96 fluid Ounces of mock-tail

i.e cranberries+oranges+lemon extracts=96 fluid Ounces of mock-tail....... (1)

putting these values in (1), we get

[tex]3x+x+24=96[/tex]

[tex]4x+24=96\\4x=96-24\\4x=72\\x=\frac{72}{4}\\ x=18[/tex]

fluid Ounces of orange juice was used in all=18

Final answer:

To find the amount of orange juice used in the mocktail, we set up an equation and solve for 'x'. We find that the bartender used 18 fluid ounces of orange juice in the mocktail.

Explanation:

To find the number of fluid ounces of orange juice used, we need to set up an equation. Let's say the amount of orange juice used is represented by 'x'. According to the problem, the amount of cranberry juice used is three times the amount of orange juice, so it can be represented as '3x'.

We know that the total amount of mocktail prepared is 96 ounces, and the lemon extract added is 24 ounces. So, we can set up the equation: x + 3x + 24 = 96. Simplifying this equation, we get 4x + 24 = 96.

Next, we need to isolate 'x'. Subtracting 24 from both sides of the equation, we get 4x = 72. Dividing both sides by 4, we find that x = 18.

Therefore, the bartender used 18 fluid ounces of orange juice in the mocktail.

Answer:

what do you need to do plz give the question

Step-by-step explanation:

Answer:

B) Stretching is not a congruence transformation because when the shape is stretched its size can change causing that shape to not be congruent.

Answer:

Starting population of crickets is 50. It doubles in size every 4 months.

5 years = 60 months

60 : 4 = 15

The equation is:

f ( x ) = 50 * 2^x ( an exponential function )

f ( 15 ) = 50 * 2^15 = 50 * 32,768

f ( 15 ) = 1,638,400

Answer: A ) 1,638,400

Answer:

190$

Step-by-step explanation:

6+4+5=15 (Hours per day she worked)

15*17=255 (The money Jady got from her paycheck)

255-65=190 (The money Jady owes her mom)

Answer:

Yes

Step-by-step explanation:

Do you need an explanation?

Answer:

A = 18b

Step-by-step explanation:

A = kb

6 = k(⅓)

k = 6×3

k = 18

A = 18b

Answer:

a = 18b

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition that a = 6 when b = [tex]\frac{1}{3}[/tex] , thus

k = [tex]\frac{a}{b}[/tex] = [tex]\frac{6}{\frac{1}{3} }[/tex] = 18

a = 18b ← equation of variation

Answer:

$676

Step-by-step explanation:

52x13= 676

Answer:

She would pay $676

Step-by-step explanation:

Answer: when x=7 the answer is 16

Step-by-step explanation:

Answer: The difference in their ages is 13.

Step-by-step explanation: We shall start by assigning letters to represent the age of each one of them, that is the unknown variables. So, we shall call Rodney’s age r, and his sister’s age we shall call t. If the sum of Rodney and his sister’s age is 31, then we can write this as an expression,

r + t = 31

Also three times Rodney’s age can be written as 3 times r, or simply put, 3r. So five years less than three times Rodney’s age is equal to 3r - 5. Hence his sister’s age is equal to 3r - 5, or simply put,

t = 3r - 5

What we now have is a pair of simultaneous equations

r + t = 31 ————(1)

t = 3r - 5 ————(2)

We shall use the substitution method here. From equation (2), t = 3r - 5. So we shall substitute for the value of t into equation (1).

r + t = 31 now becomes

r + 3r - 5 = 31

4r - 5 = 31

Add 5 to both sides of the equation

4r -5 + 5 = 31 + 5

4r = 36

Divide both sides of the equation by 4

r = 9.

That means Rodney’s age is 9.

If from equation (1) r + t = 31, we can now insert the value of r in order to find t.

r + t = 31

9 + t = 31

Subtract 9 from both sides of the equation

t = 22.

That means his sister’s age is 22 while Rodney’s age is 9.

Therefore the difference in age between Rodney and his sister is

22 - 9 which equals 13.

Answer:

Option A.

[tex]P=73.4\ units[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In this problem we have a triangle with a circle inscribed in it

so

[tex]A.F=A.B\\C.B=C.D\\E.F=E.D[/tex]

step 1

Find the length side B.C

[tex]C.B=A.C-A.B[/tex]

substitute the given values

[tex]C.B=23-14=9\ units[/tex]

step 2

Find the length side C.D

Remember that

[tex]C.D=C.B[/tex]

therefore

[tex]C.D=9\ units[/tex]

step 3

Find the length side E.D

we know that

[tex]E.D=E.C-C.D[/tex]

substitute the given values

[tex]E.D=22.7-9=13.7\ units[/tex]

step 4

Find the length side E.F

Remember that

[tex]E.F=E.D[/tex]

therefore

[tex]E.F=13.7\ units[/tex]

step 5

Find the length side A.F

Remember that

[tex]A.F=A.B[/tex]

therefore

[tex]A.F=14\ units[/tex]

step 6

Find the perimeter

[tex]P=23+22.7+13.7+14[/tex]

[tex]P=73.4\ units[/tex]

Answer:

  28x +196 in^2

Step-by-step explanation:

The outside dimension of the square green rug is (x+14), so its area is (x+14)^2. The area of the green band will be the difference between this and the area of the yellow square, (x^2).

  green band area = (x +14)^2 -(x^2) = x^2 +28x +196 -x^2

  green band area = 28x +196 . . . . square inches

Answer:

x = 1 and x = -4

Step-by-step explanation:

Step 1:  Factor and find the roots

x^2 + 3x - 4 = 0

(x - 1)(x + 4)

x - 1 + 1 = 0 + 1 and x + 4 - 4 = 0 - 4

x = 1 and x = -4

Answer:  x = 1 and x = -4

Graph Below:

Answer:

13/12 or 1 1/12

Step-by-step explanation:

First, I like to line up the fractions like this:

3/4

1/3

You can't add them yet because they have different denominators, so we have to get them to the same denominator first. What is a number 3 and 4 can be multiplied by? Let's use 12. So, we want both of their denominators to be 12. How do we do that? 4 times what equals 12? 3. However, whatever you multiply the denominator by, you have to do to the numerator as well. Here is what we have:

3/4 x 3

1/3

3x3 equals 9, so your first fraction is 9/12. Then, do the second fraction. 3 times what equals 12? 4. So, multiply the numerator, 1, by 4 to get 4. So, your second fraction is 4/12. Now, you have to add them together, 9+4 = 13. The denominator stays the same. So, your sum is 13/12. If you want to, you can also simplify it to a mixed number into 1 1/12.

Answer: 4/52

Step-by-step explanation:

Because thwre are 4, fives in a normal deck so the probability would be 4/52 not simplifyed

Answer:

Ill walk you through

Step-by-step explanation:

How many MBs are in a GB??

Remember that 1000 MB  =  1 GB.

Start by adding together all the MB values.

800 MB + 1500 MB + 750 MB = 3050 MB.

Next, convert to GB by dividing by 1000.

3050 MB / 1000 = 3.05 GB

Since 3.05 < 4, YES. It will all fit in Alice's 4 GB thumb drive.

Option C - 3500/3

Step-by-step explanation:

Step 1 :

Number of units shipped in the year 2005 = 12,500 units

Number of units shipped in the year 2008  = 16,000 units

Time period = 3 years

We have to determine the rate of change of units over the 3 year period. This is obtained by dividing the difference in units by the time period.

Step 2:

The difference in units over the 3 year period = 16000 - 12,500 = 3500 units.

Hence the required change rate over the 3 year period = 3500/3

Option C is the answer.

For the same numerator, bigger denominators mean smaller fractions (if everything's positive).  2/3 is bigger than all the other ones , which are 1/2 or less.

Answer: 2/3, 1/2, 1/4, 1/5, 1/6

Answer:

The circumference is 43.98

or 44 inches rounded, maybe

Step-by-step explanation:

Answer:

The width will be [tex]x^{2} +5x-4[/tex]

Step-by-step explanation:

Thinking process:

Let the model be:

[tex]4x^{2} +20x-16[/tex]

factoring out 4 gives:

[tex]4(x^{2} +5x-4)[/tex]

Factorizing the expression in the parentheses gives:

[tex]4(x^{2} +5x-4)[/tex]

Therefore, since the expression in the parentheses cannot be factorized further, the expression is:

[tex]length = 4 units\\width = x^{2} +5x-4[/tex]

The width of the area model is x^2 + 5x - 4

The area model is given as:

Area = 4x^2 + 20x - 16

Factor out 4 from the expression

Area = 4(x^2 + 5x - 4)

Express as product

Area = 4 * (x^2 + 5x - 4)

4 represents the length.

So, the width of the area model is x^2 + 5x - 4

Read more about areas at:

https://brainly.com/question/24487155

Answer:

6900

Step-by-step explanation:

[tex] = 6000 \times \frac{115}{100} = 6900[/tex]

Answer:

$2,400

Step-by-step explanation:

1) lets use the i=prt formula

where i=interest

p=principal

r=rate

t=time

the principal here is $6000(starting amount)

rate is 0.08

and time is 5

so

I=0.08*5*6000

I=2400

you will gain an interest of $2400

Answer:

Name the rooms in basement, ground floor and the attic.

Step-by-step explanation:

The house has 3 levels: basement, ground floor and the attic.

In the basement there's basement study and a laundry room.

On the ground floor there's a kitchen, a dining room and a living room.

In the attic there is a bathroom and two bedrooms: one for children and the other one for the parents.

To solve the equation 2000 (X - 0.03) = 6000, divide both sides by 2000 to get X - 0.03 = 3, and then add 0.03 to each side to find X = 3.03.

To solve the algebraic equation 2000 (X - 0.03) = 6000 using the divide each side method, we can follow these steps:

Now X has been isolated, and we have found the value that satisfies the equation.

Answer:yes

Step-by-step explanation:

Answer:

k = -1.5

Step-by-step explanation:

Step 1:  Solve for k

16k + 24 - 24 = 0 - 24

16k / 16 = -24 / 16

k = -3/2

k = -1.5

Answer:  k = -1.5

Answer:

Step-by-step explanation:

x+41=-90 (original problem)

-41     -41 (you must get rid of the common factors by doing the opposite on both sides)

x= -132 (add -90 and -41 to get -132)

Answer:

its B

Step-by-step explanation:

after you find the intervals. you also need to consider that the plant manager knows the two machines will take at least 6 hours, so (0, 3] is taken out of the picture leaving you with B

The correct answer choice is:

(-0,0) U (3,9) U (18,∞), but only the interval [18,∞) contains viable times for machine 1.

Here, we have,

The given inequality represents the condition that the task should take at least 6 hours to complete.

Let's analyze the answer choices:

(0.31 U 9.18] both contain viable times for machine 1:

This answer choice includes the interval (0.31, 9.18], which contains values less than 6.

Therefore, it does not satisfy the condition of at least 6 hours.

(0, 3] U (9,18]; only (9, 18] contains viable times for machine 1:

This answer choice includes the intervals (0, 3] and (9, 18].

Both of these intervals contain values less than 6, so they do not satisfy the condition of at least 6 hours.

(-∞,0) U (13,9) U (18,∞), no interval contains viable times for machine 1:

This answer choice does not include the interval (0, 3] where viable times for machine 1 exist.

(-0,0) U (3,9) U (18,∞), but only [18,∞) contains viable times for machine 1:

This answer choice includes the intervals (0, 3] and (18,∞), which contain viable times for machine 1. However, the interval [18,∞) specifically represents viable completion times for machine 1.

Therefore, the correct answer is (-0,0) U (3,9) U (18,∞), but only the interval [18,∞) contains viable times for machine 1.

To learn more about the inequality visit:

brainly.com/question/24372553

#SPJ4

6 6/8 or 6 3/4 simplified

Step-by-step explanation:

First, add 5/8 and 7/8

Next, divide the sum of 5/8 and 7/8 (which is 1 4/8)

Lastly, add the wholes and 1 from 4/8

Answer:

1.22 x [tex]10^{6}[/tex]

Step-by-step explanation:

1,220,000 would be...

1.22 x 10^6

Answer:

you could do this 1.22E+6 or 1.22 x 10⁶

Step-by-step explanation: