5h-2(11-h)=h-4
what’s the value of h

Answers

Answer 1

Answer:

The correct answer is h = 3.

Step-by-step explanation:

To solve this problem, we should first use the distributive property on the left side of the equation.  This means that we can multiply each of the terms inside the parentheses by -2 (be careful that you distribute the negative as well).  This is modeled below:

5h - 2(11 - h) = h - 4

5h - 22 + 2h = h - 4

Next, we can combine like terms on the left side of the equation.

7h - 22 = h - 4

Now, we can subtract h from both sides of the equation to move all of the variable terms to the left side of the equation.

6h - 22 = - 4

Next, we can add 22 to both sides of the equation to isolate the variable term on the left side of the equation.

6h = 18

Finally, we can divide both sides by 6 in order to get the variable completely isolated.

h = 3

Therefore, the correct answer is h = 3.

Hope this helps!


Related Questions

What is the slope of the function y=4x+6y=4x+6 Answer value

Answers

The Answer is:-

Y = 4X + 6
Graph is a curved line...(False)
The line passes through the origin (0,0)...(False)
The line passes through (0,6)...(False)
The Slope of the line is is (4)...(True)
The (Y) intercept of the line is (+6)...(True)

Challenge!
-47 -2.5 = -2.5 - 1.7m - 2.3m

Answers

Answer:

47/4  or 11.75 = m

Step-by-step explanation:

-47 -2.5 = -2.5 - 1.7m - 2.3m

Combine like terms

-49.5 = -2.5 -4m

Add 2.5 to each side

-49.5 +2.5 = -2.5+2.5 -4m

-47 = -4m

Divide each side by -4

-47/-4 = -4m/-4

47/4 = m

11.75 = m

- 47 - 2.5 = -2.5 - 1.7m - 2.3m

m = ?

1.7m + 2.3m = - 2.5 + 47 + 2.5

4m = 47

m = 47/4

m = 11.75 ✔️

What is the translation for this graph ! Help pls

Answers

Answer:

right 3 up 4

Step-by-step explanation:

Answer:

x+3, y+4

Step-by-step explanation:

in the
fallowing AB llcD the value is equal to
60
75
45
30​

Answers

the answer is gonna be 75

A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?

Answers

Answer:

$104

Step-by-step explanation:

10% = 160 ÷ 10 = $16

5% = $16 ÷ 2 = $8

30 % = 16 x 3 = $48

48 + 8 = $56

$160 - $56 = $104

Hope this helps!

Can someone answer this as soon as possible please thank you so much

Answers

Answer: 40

Step-by-step explanation:

angle 1 and 2 are alternative interior angle which means they are equal

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

angle 1= angle 2

2x+20=3x+10

      x=10

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

angle 1=2x+20

           =2(10)+20

           =20+20

           =40

Step-by-step explanation:

Hey there!!

Just do it in a simple way.

Use the properties of parallel lines, and find the value of x to find angke 1.

angle 1= angle 2 { alternate angles on parallel lines are equal }

[tex]2x + 20°= 3x + 10°[/tex]

or, 3x-2x = 20°-10°

x= 10°.

now,

angle 1= 2x+ 20°

=2×10°+20°

Therefore, the measure os angle 1 is 40°.

Hope it helps...

A man spends 1/3 of his salary on accomodation and 2/5 of the remainder on food. What fraction is left for other purposes?

Answers

Greetings from Brasil...

Let's find the equivalent fractions

A/B ; C/D  ⇔  A·D/B·D ; C·B/B·D

Bringing to our problem:

A/B ; C/D  ⇔  A·D/B·D ; C·B/B·D

1/3 ; 2/5  ⇔  1·5/3·5 ; 2·3/3·5  ⇔  5/15 ; 6/15

Now we can sum/add the equivalent fractions

5/15 + 6/15 = 11/15

11/15   to accomodation and food

15/15 = total

total - (accomodation and food) = other purposes

15/15 - 11/15 = 4/15

So 4/15 its the fraction for other purposes

If sally study’s math 1.5 hours a day predict her math grade based on the scatter plot above

Answers

Answer:

Approximate marks sally get = 95%

Step-by-step explanation:

Given:

Sally's study time = 1.5 hour = 1.5 × 60 = 90 minute

Find:

Approximate marks sally get.

Computation:

Number of minute sally study = 1.5 × 60

Number of minute sally study = 90 minutes

Using graph,

Vertical line on 90 minutes shows 95% , we can say that the person who study 90 minutes per day get 95% marks

So,

Approximate marks sally get = 95%

Answer:95

Step-by-step explanation:

Move point B some more. As you move point B, the angle formed between and varies. If you want to make perpendicular to what do you need to do? Explain in terms of .

Answers

Answer:

To make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90°.

Step-by-step explanation:

Plato

If you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

What are angles? What is a mathematical function, equation and expression?  

Angles : the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.   

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that as you move point B, the angle formed between AB and CD varies.

If you have to make AB perpendicular to CD, rotate AB clockwise, such that the point B moves in clockwise direction, until and unless both the lines intersect at 90 degrees.

Therefore, if you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

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The least common multiple of two integers is 240, and the greatest common divisor is 24. Given that one of the integers is 48, what is the other integer?

Answers

Answer:

120

Step-by-step explanation:

The computation of the other integer is shown below:

The Factor of 48 is 2^4 × 3

Also the greatest common divisor is 24,

This results that the second number also contains the factors 2^3 and 3 but not a fourth 2.

Now when there is a division of 240 by 48 so the number comes is 5

Now the second number factors are 2^3 and 3 that represents that it is under the factors of 48 but the factor 5 would arise from the second number

So, the other number is 120

Answer:

120

Step-by-step explanation:

If you want the aops explanation:

The prime factorization of 48 is $2^4\cdot3$. Since the greatest common factor is 24, that means the other number also has the factors $2^3$ and 3 but not a fourth 2. When we divide 240 by 48, we get 5. The factors $2^3$ and 3 of the other number are covered by the factors of 48, but the factor 5 must come from the other number. So, the other number is $2^3\cdot3\cdot5=\boxed{120}$.

Which points are reflections of each other across both axes?
(–2, 8) and (2, –8)
(–7, –1) and (–7, 1)
(5, –6) and (–5, –6)
(4, –3) and (–3, 4)

Answers

Answer:

Hey there!

When reflecting across both axis, we switch up the signs but keep the order of the coordinates.

Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.

Let me know if this helps :)

the population of California is about 39 million is this greater than or less then 107

Answers

Answer:

greater

39 million>107

The solution is 39 million is greater than 10⁷

The value 3.9 x 10⁷ is greater than the value 10⁷

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 ,

Let the equation be represented as A

Now , the value of A is

A = 39 million

Let the value of B = 10⁷

On simplifying the value of A , we get

A = 39 million

A = 39000000

So , the value A can be written in powers of 10 as

The value of A = 39 x 10⁶

On simplifying the equation , we get

The value of A = 3.9 x 10⁷

Now , the value of A > B

And , 3.9 x 10⁷ > 10⁷

Therefore , the value of A is greater than B

Hence , The value 3.9 x 10⁷ is greater than the value 10⁷

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The formula for the surface area of a cylinder is 2pi r(r+h) where rrr is the radius of the cylinder's base and h is its height. A certain pole has a cylinder-like shape, where the base's radius is 10centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answers

Answer:

4200πcm²

Step-by-step explanation:

Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.

Given parameters

base radius of the cylindrical pole = 10 cm

Height of the cylindrical pole = 2 m

Since 100 cm = 1 m, then 2 m = 200 cm

Height of the cylindrical pole (in cm) = 200 cm

Required

Surface area of the pole (in cm²)

Using the formula for finding the surface area of a cylinder as shown above;

[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]

Hence the  surface area of the pole in square centimetres is 4200πcm²

Can u guys PLEASE answer this question ASAP. Two wooden boxes, both with dimensions 80 cm, 1 m and 25 cm, are placed on the ground, one on top of the other as shown. The entire outside surface is then painted. Find the area of the painted surface.

Answers

Answer:

34000cm or 340m

Step-by-step explanation:

We have to find total surface area.

dimensions of 1 wooden box =

l = 1m = 100cm

b = 80cm

h = 25cm

∴ In the case of 2 =

l = 100cm

b= 80cm

h  = 25 + 25 = 50cm

T.S.A = 2(lb + lh + bh)

= 2(100*80 + 100*50+ 80*50)

= 2(8000+5000+4000)

= 2*17000

= 34000cm

= 340m

find perimeter of rectangle if length is 2x+8 width is 5x-2

Answers

Answer:

P=(a+b)*2

P=(2x+8+5x-2)*2=(7x+6)*2=14x+12

Step-by-step explanation:

perimeter is the distance round. Add all the algebras

2x+8+5x-2+2x+8+5x-2

{combine the like terms}

P= 14x+12

When f(n) =2 what is the value of n

Answers

Answer:

2

Step-by-step explanation:

n = 2

This is an example of
which type of drawing
in geometry?
A. A net
B. A perspective drawing
C. A 3 dimensional sketch
D. An orthographic drawing

Answers

Answer:

I'm going to go with B.

Step-by-step explanation:

but don't just take my answer bc I'm not 100% sure

The given figure is an example of an Orthographic drawing.

So the correct option is option D.

In  Orthographic drawing, we represent several 2D views of an object to obtain a 2D object.

The most common views of Orthographic drawings are top, right, and front.

Though the figure mentioned in the question represents the top, right, and front part view and as per the definition of perspective drawing it is not flat,  it cant be looked flat when opened which satisfies the definition of net so, the figure satisfies option 3.

Thus, the figure is an example of an Orthographic drawing.

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Convert 3km to mm.

Answers

Answer:

3km = 3000000 milimeters = 3000000mm

Step-by-step explanation:

1 km = 1000 meters

1 meter = 1000 milimeters

then:

1km = 1000*1000 = 100000 milimiters = 1000000mm

3km = 3*1000000 = 3000000 milimeters

I NEED HELP ASAP! What is 3/7 of 35??

Answers

Answer:

15

Step-by-step explanation:

you can approach this question with simple math

first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15

Answer:

the answer is 15

Step-by-step explanation:

3/7 of 35 means 3/7 x 35

so 3/7 x 7x5

3x5 =15( deleting 7 from numerator and denominator)

ans : 15

Find the area of the shaded regions of the following figures. Will Give Brainliest!! Answer ASAP

Answers

Answer:

Rectangle 1 area: 53 units squared

Shape 2 area: 43.75 units squared

Step-by-step explanation:

Shape 1:

We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.

Total area of the rectangle:

13 * 5 = 65

Area of triangles (they are congruent):

1/2 * 4 * 3 = 6

6 * 2 = 12

65 - 12 = 53

The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)

Shape 2:

First, let's find the area of the parallelogram at the top.

10 * 3 = 30

Now, let's find the area of the rest of the shape. Triangle first...

1/2 * 4 * 1.5 = 3

Now, the rectangle and the tiny triangle we can section out at the end:

7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75

Total area: 10.75 + 3 + 30 = 43.75

a total eclipse solar eclipse in 2003 lasted 5 3/20 minutes in Wizard viewed from the southern hemisphere the next total eclipse in 2005 lasted 3 2/3 minutes and was viewed from the Northern Hemisphere how much longer was the 2003 solar eclipse?​

Answers

Answer: [tex]1\dfrac{29}{60}\text{ minutes}[/tex]

Step-by-step explanation:

Given: A total eclipse solar eclipse in 2003 lasted [tex]5\dfrac{3}{20}[/tex] minutes

[tex]=\dfrac{5(20)+3}{20}=\dfrac{103}{20}\text{ minutes}[/tex]

& a total eclipse solar eclipse in 2005 lasted [tex]3\dfrac{2}{3}[/tex]minutes

[tex]=\dfrac{3(3)+2}{3}=\dfrac{11}{3}\text{ minutes}[/tex]

Difference= [tex]\dfrac{103}{20}-\dfrac{11}{3}=\dfrac{103\times3-11\times20}{60}[/tex]

[tex]=\dfrac{309-220}{60}\\\\=\dfrac{89}{60}\text{ minutes}\\\\=1\dfrac{29}{60}\text{ minutes}[/tex]

So, 2003 solar eclipse was [tex]1\dfrac{29}{60}\text{ minutes}[/tex] longer than solar eclipse in 2005.


Question 1
Study the ordered pairs in the table. Move point D to the locations shown, and note mZDFB, mZCEA, AE, and BF
You can turn on the grid to find the locations more easily. Round angle measurements to the nearest degree,


Location of Dm DFB m.CEA BF AE
(12,2)
(11, 1)
(4,2)
(8,5)

Answers

Answer:

(12, 2) 85° 95° 2.72 units 3.29 units

(11, 1) 81° 99° 2.03 units 3.04 units

(4, 2) 90° 90° 3.62 units 3.62 units

(8, 5) 102° 78° 5.70 units 4.37 units

(9, 7) 109° 71° 6.93 units 4.82 units

Step-by-step explanation:

I was looking for an answer then decided to do it myself and these are the correct answers.

(12, 2)

85° 95° 2.72 units & 3.3 units

(11, 1)

81° 99° 2.03 units & 3.04 units

(4, 2)

90° 90° 3.62 units & 3.6 units

(8, 5)

102° 78° 5.70 units & 4.4 units

What is an ordered pair in math?

An ordered pair is a composition of the x-coordinate and the y-coordinate, having two values written in a fixed order. Ordered pair helps to locate a point on the Cartesian plane.

What is a Cartesian plane?

The cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of the x-axis & y-axis. The 2 axes intersect at the angle of 90degree to each other at the point called the origin.

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how many ounces of water are equal to 3/4 cups of water​

Answers

Answer:

6 ounces

Step-by-step explanation:

4 tablespoons 1/4 cup 2 fluid ounces

5 1/3 tablespoons 1/3 cup 2.7 fluid ounces

8 tablespoons 1/2 cup 4 fluid ounces

12 tablespoons 3/4 cup 6 fluid ounces

The solution is 6 fluid ounces

The value of 3/4 cups of water is given by the equation A = 6 fluid ounces

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 ,

Let the amount of water be represented as A

Let the number of cups of water be = 3/4 cups

Now ,

1/4 cups = 4 tablespoons = 2 fluid ounces

1/2 cups = 8 tablespoons = 4 fluid ounces

So , 3/4 = ( 1/2 ) + ( 1/4 )

And , Substituting the values in the equation , we get

3/4 cups = 12 tablespoons = 6 fluid ounces

Therefore , the value of A is 6 fluid ounces

Hence , the equation is A = 6 fluid ounces

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Simplify the equation: 2x - 3 > 2(x+9)

Answers

Answer:

no solution

Step-by-step explanation:

2x - 3 > 2(x+9)

Distribute

2x-3 > 2x+18

Add 3 to each side

2x-3+3 > 2x+18+3

2x> 2x+21

Subtract 2x from each side

2x-2x> 2x-2x+21

0 > 21

This is never true so there is no solution

Answer:

See below.

Step-by-step explanation:

So we have the inequality:

[tex]2x-3>2(x+9)[/tex]

First, distribute the right side:

[tex]2x-3>2x+18[/tex]

Subtract both sides by 2x. Both the left and right cancels:

[tex](2x-3)-2x>(2x+18)-2x\\-3>18[/tex]

-3 is not greater than 18. Therefore, the inequality is never true.

How are the rules for adding and subtracting negative numbers similar to adding and subtracting positive numbers? Justify your response with an example

Answers

Answer: the rules are

+(+) Two like signs become a positive sign

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign

−(+)

Step-by-step explanation:

Example:  3+(+2) = 3 + 2 = 5, 6−(−3) = 6 + 3 = 9, 7+(−2) = 7 − 2 = 5,8−(+2) = 8 − 2 = 6  hope this helps you :)

Answer answer it it it Answer answer it it it

Answers

Answer: C

Step-by-step explanation:

6+3=9

9+3=2

Answer: A

Step-by-step explanation:

6+3=9

9+3=12

(2x+ 2) +(3 - 5x) 4.) (3x3 - 4x4) +(2x + 5x4)​

Answers

Answer:

1. [tex] \boxed{ \bold{ \sf{ - 3x + 5}}}[/tex]

2. [tex] \boxed{ \bold{ \sf{ {x}^{4} + 3 {x}^{3} + 2x}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{(2x + 2) + (3 - 5x)}[/tex]

When there is a ( + ) in front of expression in parentheses , the expression remains the same.

⇒[tex] \sf{2x + 2 + 3 - 5x}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x + 2 + 3}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x + 5}[/tex]

2. [tex] \sf{( {3x}^{3} - 4 {x}^{4} ) + (2x + 5 {x}^{4}) }[/tex]

When there is a ( + ) in front of expression in parantheses , the expression remains the same

⇒[tex] \sf{3 {x}^{3} - 4 {x}^{4} + 2x + {5x}^{4} }[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{4} + 3 {x}^{3} + 2x}[/tex]

Hope I helped!

Best regards!!

The 7-digit numbers in a given area code have the form ABC-XXXX, where X, B, and C can be any digit 1-9 and A is
restricted to 0-9. There are two other restrictions:
• B and C cannot both equal 1 since these values are designated for other purposes such as 911 (emergency)
and 411 (information), and
• 555-0100 through 555-0199 are reserved for fictional uses such as in television shows or movies.
According to these conditions, how many 7-digit numbers are possible in a single area
code?

Answers

Answer:

The number of 7-digit numbers are possible in a single area code is 5248600

Step-by-step explanation:

The given parameters are;

The number of digits in the area code = 7

The possible digits for X, B and C are 1 - 9 = 9 digits

The number of possible digits for A is 0 - 9 = 10 digits

Exceptions

1) B and C cannot both =

2) 555-0100 through 555-0199 are reserved for television or movies

Therefore, we have, the number of 7 digits numbers without exceptions = 10×9⁶ = 5314410 numbers

The number of the exceptions are

Exception 1) 10 × 1 × 1 × 9 × 9 × 9 × 9 = 65610 numbers

Exception 2)  555-0100 through 555-0199 = 0199 - 0100 = 200 numbers

The number of possible numbers = 5314410 - 65610 - 200 = 5248600

The number of 7-digit numbers are possible in a single area code = 5248600.

35 points answer quickly please. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers. (a) 2x+4(x-1)=2+4x (b) 25-x=15-(3x+10) (c) 4x=2x+2x+5(x-x)

Answers

Answer:

[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]

Step-by-step explanation:

2x+4(x-1)=2+4x

Expand brackets.

2x+4x-4=2+4x

Combine like terms.

6x-4=2+4x

Subtract 4x from both sides.

Add 4 to both sides.

2x=6

Divide both sides by 2.

x=3 (One solution)

25-x=15-(3x+10)

Distribute negative sign.

25-x=15-3x-10

25-x=-3x+5

Add x and -5 to both sides.

20=-2x

Divide both sides by -2.

-10=x (One solution)

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

Solve for brackets.

4x=2x+2x+5(0)

4x=2x+2x

Combine like terms.

4x=4x

Divide both sides by 4.

x=x

All real numbers are solutions. (All real numbers)

f(x) =x+2 g(x)=x-4 (fg)(x)

Answers

Answer:

x^2-2x-8

Step-by-step explanation:

FOIL the two together and get x^2 for the first, -4x outer, +2x inner, -8 last. Then combine like terms and get x^2-2x-8

Answer:

(fg)(x)) = x² - 2x -8

Step-by-step explanation:

f(x) = x + 2, g(x) = x - 4 (f*g)(x) = ?

----------

(fg)(x) = (x-4)(x + 2) = x² - 4x + 2x - 8 = x² - 2x -8 (fg)(x)) = x² - 2x -8
Other Questions
Which equation describes the line graphed above? List the next three numbers for the sequence: 7, 7 2 , 7 4 , 7 8 The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3. Need help with a,b,c for simplifying who were the plebeians ? The base of a triangle measures 6 inches less than its height. If the area of the triangle is 20 square inches, find the base and height using the formula A= 1/2bh What was the initial hope for economic success for the Jamestown colony, and how did this hope contribute to the disastrous start for the colony? Describe the hardships faced by the Jamestown settlers. Energy receipt is highest between 0 and 23.5 N and S as this is where the sun moves overhead. What would happen if instead the sun moved overhead across a much larger region, such that it was traveling overhead between 0 and 60 N and S? Think about how think might impact certain, major wind patterns. Place the following statements into the correct categories.Canal constructed to Red SeaThe Old KingdomThe Middle KingdomProsperity and trade increasedGreat Pyramids were constructedKingdom fell to Hyksos invaders What is the difference between Texas Coastal Plains and Texas North Central Plains? And what are the similarities? (Btw Im only in 7th grade so dont make it to smart) I will also give brainliest! The variable Weight (lb. or kg) is measured on a ___________ scale of measurement Interval Ratio Nominal Ordinal. Aubrey was born with a disorder that interferes with her body's metabolism. How will this type of disorder most likelyaffect Aubrey's body?Her body will break down too many protein molecules.Her body will accumulate too much pyruvic acid.O Her body will take too long to build large molecules.O Her body will not be able to break down large molecules. Janice and Stephanie have been close friends for some time. When Stephanie recently lost her job, she couldn't afford her rent anymore and was on the verge of homelessness. Janice invited her to stay in her guest room for as long as needed. While there, Stephanie does some of the cooking for Janice and herself. According to equity theory, which of the following statements about this relationship scenario is true?a. Stephanie is currently over-benefited in their relationship.b. Stephanie is investing more effort in the relationship by cooking and cleaning.c. This relationship will survive a period of brief inequity as long as long-term equity is maintained.d. All of these are true. Jorge Company bottles and distributes B-Lite, a diet soft drink. The beverage is sold for 50 cents per 16-ounce bottle to retailers, who charge customers 78 cents per bottle. For the year 2014, management estimates the following revenues and costs.Sales $1,804,000 Selling expensesvariable $69,800Direct materials 428,000 Selling expensesfixed 65,800Direct labor 354,000 Administrative expensesvariable 64,920Manufacturing overheadvariable 310,000 Administrative expensesfixed 64,900Manufacturing overheadfixed 288,000 a. Prepare a CVP income statement for 2014 based on managements estimates.b. Calculate variable cost per bottle. (Round variable cost per bottle to 2 decimal places, e.g. 0.25.)c. Compute the break-even point in (1) units and (2) dollars. (Round answers to 0 decimal places, e.g. 1,225.)d. Compute the contribution margin ratio and the margin of safety ratio. (Round variable cost per bottle to 2 decimal places, e.g. 0.25 and final answers to 0 decimal places, e.g. 25%.)e. Determine the sales dollars required to earn net income of $240,852. (Round answer to 0 decimal places, e.g. 1,225.) Soft woods, such as pine and spruce, are not always easy to work with because __________ A. they resist cutting tools B. once exposed to air they start to harden C. they may splinter while being worked on D. none of the above Evaluate 5x3 - 21 + 7 when x = -2. please help :) Which of the following numbers is equivalent to 3.00510 to the 8 power? A. 30,050,000 B. 300,500,000 C. 3,005,000,000 D. 30,050,000,000 In an electrolytic cell, the magnitude of the standard cell potential is the:______a. minimum voltage that must be supplied for a redox reaction to occur b. maximum voltage that willallow the redox reaction to occur c. always equal to Eanode - Ecathode d. none of the above Which statements are always true regarding thediagram? Check all that apply.3OmZ3+ m 24 = 180AcoOnm2 + m 24+ m26 = 180m2 + m 24 = m 2527m21+ m2 = 90m24+ m26 = m22m22 + m 26 = m25 In Georgia: All children ___ years old or younger must be secured in the back seat and seated in an approved child restraint device when riding in a motor vehicle.a. 5b. 15c. 21