Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Answer:

its the same steps as the other one I answered for you except subtract

Step-by-step explanation:

x-1

Answer:

f(x) - g(x) = 2x^2 - x - 1

Step-by-step explanation:

f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2

f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)

= 2x^2 + 4x - 3 - 5x + 2

= 2x^2 - x - 1

Uhm hope this help (:

8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

sec(2x) - 4 = 0

sec(2x) = 4

1 / cos(2x) = 4

cos(2x) = 1/4

2x = cos⁻¹(1/4) + 2nπ   or   2x = -cos⁻¹(1/4) + 2nπ

(where n is any integer)

x = 1/2 cos⁻¹(1/4) + nπ   or   x = -1/2 cos⁻¹(1/4) + nπ

The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so

x = 1/2 cos⁻¹(1/4)   or   x = π - 1/2 cos⁻¹(1/4)

x ≈ 0.659   or   x ≈ 2.483

Answer:

Step-by-step explanation:

Givens

a = 2187

r = 1/3

L = 1/9

what is n

Formula

L = a*r^(n-1)

1/9 = 2187 * (1/3)^(n-1)

1/(9 * 2187) = (1/3)^(n - 1)

1/19683 = (1/3)^(n - 1)

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

You need to break 19683 down into its prime factors.

19683 = 3* 729

19683 = 3 * 3 * 243

19683 = 3 * 3 * 3 * 81

81 = 3^4 so there are 4 more threes in the breakdown.

19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3

1/19683 = 1/(3)^(7-1)

1/9 is the 6th term in the series.

Answer:

draw the diagram and multiply 5x20

Answer:

C.

because both of those decimals can be turned into fractions.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational

Answer:

y = -3x-1

Step-by-step explanation:

Point-slope equation of a line

y-y1=m(x-x1)

(x1,y1) are coordinates of a point in the line = (-3,8)

m is the slope of the line = -3

Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)

y-8=-3(x+3)

y-8=-3x-9

+8 +8

y = -3x-1

None of the options are correct

Answer:

4 Units

Step-by-step explanation:

Edge 2021

Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is:

x² + y² - 10x + 6y = -18

Then, we start the steps to complete the squares, as follows:

x² - 10x + y² + 6y = -18

(x - 5)² + (y + 3)² = -18 + 25 + 9

(x - 5)² + (y + 3)² = 16

Then, the radius is found as follows:

r² = 16 -> r = 4 units.

More can be learned about the radius of a circle at https://brainly.com/question/24307696

#SPJ5

Answer:

-.1

Step-by-step explanation:

Answer:

I believe that's a decimal point

Step-by-step explanation:

If yes then,

Seven hundred and twenty seven point five two six

Answer:

727.526 in word form is :Seventy-five thousand seven hundred and twenty-six

Step-by-step explanation:

hope this helps :)

Answer:

D. 8, 840, 832,000

Step-by-step explanation:

The computation of the number of license plates possible is shown below:

Here the first position could be taken by any of the five odd numbers

The second position could be taken by any of the 4 odd numbers

The third position could be taken by the eight left numbers

The fourth position could be taken by another seven numbers

Als the first digit could be any of the 26 upper case letters and so on

So,

= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22

= 8,840,832,000

Therefore option D is correct

Answer:

Divide the numerator and denominator of the given rate by the denominator of the given rate.

Step-by-step explanation:

Answer:

They have its own reciprocal

Answer:

0.075

Step-by-step explanation:

Answer:

nooooo

Step-by-step explanation:

Answer:honestly i might too at some point but if you decide not to and want to talk about what happened, let me know. i'm not a therapist and i'm not the best with words, but i do like to listen to what others have to say and learn from their lives. i hope you choose to live, but i sadly cannot stop you.

Step-by-step explanation:

Slope intercept form of the equation 4x + 5y = - 30 is written as,

⇒ y = - 4/5x - 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 4x + 5y = - 30

Now, We know that;

Slope intercept form of the equation is,

⇒ y = mx + c

Here, The equation is,

⇒ 4x + 5y = - 30

Subtract 4x both side,

⇒ 4x + 5y - 4x = - 30 - 4x

⇒ 5y = - 4x - 30

Divide by 5 both side, we get;

⇒ y = - 4/5x - 6

Hence, The Slope intercept form of the equation is,

⇒ y = - 4/5x - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

the anser is 1046.265 because in

492.36=12hour

? =51/2hour then criscros both side 492.36*25,5/12=492.36

Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

Answer:

2 2/3 or 2.6... in decimal

Step-by-step explanation:

4*2 = 8

8/3 = 2 2/3

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

Answer:

2z+6

Step-by-step explanation:

Answer:

z+ (z+6) =2 (z+3)

Step-by-step explanation:

the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)