An auto assembly plant produces 288 cars in 6 days. The constant of proportionality is cars per day.

24?
48?
56?
or 102?

For unit rate, divide the total dollar amounts by the amount of the item you have.

in number 1:

18 golf balls equal $32.99

so divide 32.99 by 18

32.99

 18

This tells us that 1 golf ball costs roughly $1.83

2. Do the same thing except put the ounces of juice under the total cost

2.75

 15

This will tell us that 1 oz of juice costs $0.18.

Since this is in word form, it is a rule in higher math to answer in the same format.

The unit rate for one golf ball is $1.83, and it costs $0.18 per ounce of juice.

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]A(7,\ 12)\to x_A=7,\ y_A=12\\B(-1,\ 6)\to x_B=-1,\ y_B=6[/tex]

Substitute:

[tex]\dfrac{7+(-1)}{2}=\dfrac{7-1}{2}=\dfrac{6}{2}=3\\\\\dfrac{12+6}{2}=\dfrac{18}{2}=9[/tex]

(2n - 9) - 5(-2.4n + 4) =

The first set of parentheses is unnecessary, so we just drop them.

= 2n - 9 - 5(-2.4n + 4)

Now we distribute -5 by the second set of parentheses. Each term in the parentehses is multiplied by -5.

= 2n - 9 + 12n - 20

Now we combine like terms.

= 2n + 12n - 9 - 20

= 14n - 29

Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

1. Point Q is on the perpendicular bisector of MN¯¯¯¯¯¯¯. Given

2.MX¯¯¯¯¯¯≅NX------------------------ Definition of bisector

3. ​ ∠QXM ​ and ∠QXN are right angles. Definition of perpendicular

4. ∠QXM≅∠QXN----------------------All right angles are congruent.

5.QX¯¯¯¯¯¯≅QX ----------------------- Reflexive Property of Congruence

6. △QXM≅△QXN -----------------------Congruence PostulateSAS

7.QM¯¯¯¯¯¯≅QN-------------------------------Corresponding parts of congruent triangles are congruent.

8.Point Q is equidistant from the endpoints of MN¯¯¯¯¯¯¯. Definition of equidistant

Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

Statement                                                                          Reason

1. Point Q is on the perpendicular bisector of MN           Given

2.MX≅NX-                                                                           X is mid point of MN

3. ​ ∠QXM ​ and ∠QXN are right angles.                            Perpendicular line

4. ∠QXM≅∠QXN                                                                Both right angles

5.QX≅QX                                                                            Reflexive Property  

6. △QXM≅△QXN                                                                SAS   Congruence

7.QM≅QN                                                                            CPCTE property

8.Point Q is equidistant from the endpoints of MN           . Definition of equidistant

*I hope this will help*

(3 x 16) + (2 x 21) + 8

3 people made 16, which is 48

2 made 21, making 42

and 1 made 8, making 8

The answer would be c. because there is 3 players with 16 points (3x16) and 2 with 21 points (2x21) so (3x16)+(2x21) and one player scored 8 points so (3x16)+(2x21)+8

I hope this helps     have a nice day

Answer:

1968

Step-by-step explanation:

I use the following method when it comes about products of big numbers

I grab the longer and put on the first line, below I put the smallest number.

492

x 4

Now, it is time to distribute the product, term by term, remember that when performing a product, if the result is greater or equal than 10, you need to carry a number for the following product.

      492

        x 4

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

   19    6    8

(end) (c3) (nc)

nc means: not carrying anything since 4x2=8 and 8 <10

c3 means: carrying 3 since 4x9= 32 and 32 >10

end means: put the whole number and sum it what you were carrying. 4*4+3=19

The product 492*4=1968

The product of 4 multiplied by 492 equals 1968. To find this, we used a step-by-step approach using basic multiplication and the distributive property.

To determine the product of 4 multiplied by 492, you can execute the following steps:

Therefore, 4 × 492 = 1968.

Answer:

B)3x^2 (4*x^2 + 2x + 6)

Step-by-step explanation:

Step 1: Find the Greatest common factor of the given expression.

12x^4 + 6x^3 + 18x^2

The above expression can be written as .

= 2*2*3*x^4 + 2*3*x^3 + 2*3*3*x^2

Here 3x^2 is prime factor

Step 2: Let's take out the 3[tex]x^{2}[/tex] and write the remaining terms in the parenthesis.

= 3x^2 (2*2*x^2 + 2x + 2*3)

= 3x^2 (4x^2 + 2x + 6)

Therefore, the answer is B)3x^2 (4*x^2 + 2x + 6)

Thank you.

Dived the price by the number of ounces and that should be your answer to the questions .

The wholesale price of the home audio system is = $264

The electronics store had marked up the price of the system by = 60%

So, the additional price becomes= [tex]\frac{60}{100}*264[/tex] = $158.40

Total price of the audio system now becomes = 264+158.40 = $422.40

As Lori was paid commission of = 15% on 422.40, so her commission becomes = [tex]\frac{15}{100}*422.40[/tex]

= $63.36

Hence, option D is correct.

Answer:

Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system?

Answer is=$63.36

Step-by-step explanation:

I am doing a unit test on it.

Answer:

2 pieces

Step-by-step explanation:

Julie wants to cut 1 and a quarter yard long pieces of a 3 yard string.

1 and a quarter yard =  [tex]1\frac{1}{4}[/tex] yards =  [tex]\frac{5}{4}[/tex] yards

= 1.25 yards

The total length of a piece of string = 3 yards

Julie can cut the number of pieces of 1.25 yards = [tex]\frac{3}{1.25}[/tex]

                                                                                 = 2.4 pieces

She can cut 2 pieces of 1.25 yard = 1.25 × 2 = 2.5 yard

3 yard - 2.5 yard = 0.5 yard would be leftover.

Answer:

296

Step-by-step explanation:

111/3 = 37

37 * 8 = 296

Hope this helps :-)

The perimeter is 32m add all sides to find perimeter

Given

Angie and Kenny play online video games

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost $50

total cost is 240

Find out the cost of one month of gameplay.

To proof

let us assume that the cost of one month of game play = x

As given in the question

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost  = $50

Total cost =$240

Than the equation becomes

( 50 + 3x ) + ( 50 + 4x ) = 240

100 + 7x= 240

7x= 140

x = $20

The cost of one month gameplay  is $ 240.

Hence proved

The answer is:  " 23 " .

    →  The fourth number in the sequence is:  " 23 " .

_____________________________________

Explanation:

To solve:

 " x + (x + 1) + (x + 2) + (x + 3)  + (x + 4) = 110 " ;

in which:

 "x" = The first number in these sequence;

 "(x + 1 )" = the second number in the sequence;

 "(x + 2)" = the third number in the sequence;

 "(x + 3)" = the fourth number in the sequence;

 "(x + 4)" = the fifth number in the sequence;

_____________________________________

Solve for the "fourth number in the sequence" ; or:  "(x + 3)" ;

_____________________________________

Given:  " x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 110 " ;

                     ↔   " x + x + 1 + x + 2 + x + 3 + x + 4 = 110 " ;

→  Solve for "x" ;  

→  then,  solve for "(x + 3)" ;  

     →  which is the fourth number in this sequence;

_____________________________________

→  " x + x + 1 + x + 2 + x + 3 + x + 4= 110 " ;

      "5x + 1 + 2 + 3 + 4= 110 " ;

      " 5x + 10 =  110 " ;

Solve for "x" :

     Subtract "10" from EACH SIDE of the equation; as follows:

      " 5x + 10 - 10 =  110 - 10 " ;

 to get :

      "  5x = 100 " ;

Now, divide EACH SIDE of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" ;  as follows:

         5x / 5  = 100 / 5 ;

to get:

         "  x  = 20 "  .

_____________________________________

Now, to find the fourth number in the sequence:

 →  " (x + 3) " ;

→  Substitute "20" for "x" ;

    " x + 3 = 20 + 3 = 23" ;

_____________________________________

The answer is:  " 23 " .

The fourth number in the sequence is:  " 23 " .

_____________________________________

Let us check our work:

If there are five "5" numbers in the sequence, and "23" is the "fourth number" , then:  "24" is the "fifth number" .

As such:  "22" is the "third number" ;  "21" is the "second number" ; and "20" is the "first number" .  Is this consistent with:  "x = 20" as the "first number" ?  Yes!

Thus,  "20 + 21 + 22 + 23 + 25 = ?  110 ?  ? ;

→  20 + 21 = 41 ;

→  41 + 22 = 63 ;

→  63 + 23 = 86 ;

→  86 + 24 = 110 .    Yes!

_____________________________________

Hope this answer is helpful!

Best wishes in your academic pursuits—

 and within the "Brainly" community!

_____________________________________

Answer:

23

Step-by-step explanation:

Answer:

Quotient : 6x+1

Remainder : -7x+1

Step-by-step explanation:

got it right on assignment

Using the long divison method, Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

__________| 6x + 1 - - - - - - - - - - - - Quotient

___________

4x² - 3x + 5 | 24x³ - 14x² + 20x + 6

__________|24x³ -18x² + 30x

-_______________4x² - 10x + 6

-_______________4x² - 3x + 5

___________________-7x - 1 - - - - - - - - Remainder

Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

Learn more :https://brainly.com/question/11322604

he negative square root of negative 75

= - √-75

= - √(25 * 3 * i^2)          ...............because i^2 = -1

= - 5i√3

The negative square root of -75 simplifies to [tex]5\sqrt{3}i[/tex] in the complex number system. 'i' is the imaginary unit, where i is the square root of -1.

In Mathematics, we cannot take the square root of a negative number in the set of real numbers. However, we use the concept of imaginary numbers where i is the square root of -1. Therefore, to simplify the negative square root of negative 75, we begin to simplify the terms inside the square root. Negative 75 can be factored into -1 and 75. Therefore, the square root of -75 is[tex]\sqrt{75}i[/tex], where the square root of 75 can further simplifies it to[tex]5\sqrt{3}i[/tex] , making the final answer [tex]5\sqrt{3}i[/tex]

https://brainly.com/question/30848491

#SPJ2

Final answer:

The expanded form of the decimal 24.56 is 20 + 4 + 0.5 + 0.06, which breaks down each digit by its place value.

Explanation:

The expanded form of the decimal 24.56 is an expression that shows the value of each digit in the number. To write it in expanded form, we break down each digit according to its place value. For the number 24.56, the expanded form would look like this:

Combining these values, the expanded form of 24.56 is:

20 + 4 + 0.5 + 0.06

Hello!

I was going to try to use the slope formula, and solve for the y-intercept, but the given graph is hard to distinguish accurate ordered pairs. So, we will find the equation with the graph instead.

Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.

Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).

Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).

Therefore, the equation of the line given by the graph is choice D, y = 7/5 x − 3/2.

The equation of the line given by the graph is y = 5/7 x - 2/3 (Option A).

The equation of the line given by the graph is y = 5/7 x - 2/3 (Option A).

To determine the equation, we look at the slope and y-intercept of the line. The slope of the line can be determined by comparing the change in y-coordinates to the change in x-coordinates between any two points on the line. In this case, the slope is 5/7. The y-intercept is the value of y when x = 0, which is -2/3 in this case.

Therefore, the equation of the line is y = 5/7 x - 2/3.

https://brainly.com/question/21511618

#SPJ3

Hello,

The correct answer is B) t = 9w

Hope this helps!!!! (:

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

I was reading the comments from the other person who answered and I'm guessing both of you don't know what Mean Absolute Deviation (MAD) means.... I'm going to show you an example.......

For example:

2, 2, 4, 4

2 + 2 + 4 + 4 = 12 ÷ 4 = 3

12 ÷ 4 (because there are exactly 4 numbers)

Mean: 3

Mean Definition: The mean is the average of the numbers. To calculate it: add up all the numbers, then divide by how many numbers there are.

Mean Absolute Deviation (MAD):

2, 2, 4, 4          Mean: 3

(2 - 3) + (2 - 3) + (4 - 3) + (4 - 3) = 4 ÷ 4 = 1

Mean Absolute Deviation: 1

4 ( because I subtracted all the numbers and then added it all together) ÷ 4 (because there are exactly 4 number)

I hope your getting it because if you do it on paper it's easier.

Hope these helps!!!! Happy Holidays!!!! (:

[tex]\left(\dfrac{3}{\sqrt5}\right)\left(\dfrac{4}{\sqrt3}\right)=\dfrac{3\cdot4}{\sqrt5\cdot\sqrt3}=\dfrac{12}{\sqrt{5\cdot3}}=\dfrac{12}{\sqrt{15}}\\\\=\dfrac{12\cdot\sqrt{15}}{\sqrt{15}\cdot\sqrt{15}}=\dfrac{12\sqrt{15}}{15}=\dfrac{12\sqrt{15}:3}{15:3}=\dfrac{4\sqrt{15}}{5}[/tex]

[tex]Used:\\\\\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\\sqrt{a}\cdot\sqrt{a}=a[/tex]

The distance formula is given by:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

[tex]d=\sqrt{(7-1)^{2}+(-7-1)^{2} }[/tex]

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

Answer:

d=10 units

Step-by-step explanation:

Hello.

Step 1

the formula of the distance between two points is based on the Pythagorean theorem, which states that in a rectangle :

[tex]side^{2} +side^{2}=hypotenuse^{2}\\[/tex]

Now, suppose we have two points P1(X1,Y1) and P2(X2,Y2), the distance between the two points will be the hypotenuse of our triangle, the difference in x will be the adjacent leg, and the difference in coordinates in y will be our opposite leg.

adjacent side =X2-X1

opposite side=Y2-Y1

hypotenuse=distance between P1 and P2

replacing

[tex]adjacent\ leg^{2} +opposite\ leg^{2}=hypotenuse^{2}\\(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}=(distance between\ P1\ and\ P2)^{2}\\ distance between\ P1\ and\ P2=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\\\[/tex]

we take only the positive root because it is a distance, a negative distance makes no sense

Step 2

find the distance between A(1,1) and B (7,-7) using the formula

Let

P1=A(1,1)

P2=B(7,-7)

put the values into the formula

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\let\\\\x_{1}=1,y_{1}=1,x_{2}=7,y_{2}=-7\\d=\sqrt{(7-1) ^{2} +(-7-(1))^{2}}\\d=\sqrt{(6) ^{2} +(-8)^{2}}\\d=\sqrt{36 +64}\\d=\sqrt{100}\\ d=10[/tex]

d=10 units

Have a good day.

(0, 0) 0 pages in zero minutes.

(3, 1) 3 pages in one minute.

(6, 2) 6 pages in two minutes.

(9, 3) 9 pages in three minutes.

Answer:

[tex]\displaystyle \frac{dy}{dx} = -4x \sin x^2 \sin (\cos x^2) \cos (\cos x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sin^2 (\cos x^2)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

The inequality is

[tex]-32> -5+9x[/tex]

We need to isolate x and for that first we need to get rid of 5 by adding 5 to both sides.

[tex]-32+5 +-5+9x+5\\-27>9x\\[/tex]

Now we need to get rid of 9 and for that we divide both sides by 9 .That is

[tex]-\frac{27}{9}>\frac{9x}{9}[/tex]

[tex]-3>x[/tex]

[tex]x<-3[/tex]

150 can't go into 180 equally, so the answer is 1.2

87 Pounds would be the correct answer I believe.

5x=29x

x=3

87 pounds

Since $5 = 29. You can multiply both 5 and 29 to get 15=87 pounds

Start with expressions in blue boxes:

1st column) [tex]36x+9;[/tex]

2nd column) [tex]9(4x-1)=36x-9;[/tex]

3rd column) [tex](4\cdot 9x)+(4\cdot 2)=36x+8.[/tex]

You have 6 expressions. Consider all them:

1. [tex]36x+8[/tex] - 3rd column;

2. [tex](9\cdot 4x)+(9\cdot 1)=36x+9[/tex] - 1st column;

3. [tex](3\cdot 12x)-(3\cdot 3)=36x-9[/tex] - 2nd column;

4. [tex]9(4x+1)=36x+9[/tex] - 1st column;

5. [tex]36x-9[/tex] - 2nd column;

6. [tex]4(9x+2)=36x+8[/tex] - 3rd column.

Answer:

The equivalent expressions are:

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)=9(4x + 1)[/tex]

[tex]9(4x-1)=36x-9=(3\cdot 12x)-(3\cdot 3)[/tex]

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)=36x+8[/tex]

Step-by-step explanation:

Consider the provided expressions.

[tex]36x + 9[/tex]

The expression [tex]36x + 9[/tex] can be written as:

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)[/tex]

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)=9(4x + 1)[/tex]

Consider the expression [tex]9(4x-1)[/tex]

The expression [tex]9(4x-1)[/tex] can be written as:

[tex]9(4x-1)=36x-9[/tex]

Take 3 common.

[tex]9(4x-1)=36x-9=(3\cdot 12x)-(3\cdot 3)[/tex]

Consider the expression [tex](4\cdot 9x)+(4\cdot 2)[/tex]

The expression [tex](4\cdot 9x)+(4\cdot 2)[/tex] can be written as:

Take out 4 common

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)[/tex]

Open the parentheses.

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)=36x+8[/tex]

Let x= #1 number

let y= #2 number

We would get xy-3 as the answer

ab-3 is the required expression for the sentence "3 less than a product of two numbers". Here a and b are two numbers.

we need to write expression for 3 less than a product of two numbers

The product is the multiplication of two integers.

Let a be one number

b be second number

Product of two numbers is ab.

as given 3 less than a product of two numbers

we get ab-3.

Therefore ab-3 is the required answer for 3 less than a product of two numbers.

To learn more on product of two numbers click:https://brainly.com/question/22002170

#SPJ2

I don't really under stand what to do but the answer for 7 3/4 divided by 1/3 is 23 1/4.

Let me know what else is needed to figure out your question.