there are twelve bottles in each box of bottled water. Write an equation representing the total number of bottles you get if you buy x boexes. use y to represent the total number of of bottles

Answer:

The variables are x and y.The coefficients are 1/4 and 3.Lastly the constants are -23 and 42

Step-by-step explanation:

Variables are letters used to represent an unknown number.Coefficients are the numbers in front of the variables.Constants are numbers by themselves they can be positive and negative.

For the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients 1/4 , 3are the constants are -23 , 42

A quantity that may assume any one of a set of values or in simple words a quantity whose value changes may vary.

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

A constant is a value or number that never changes in expression

in the given equation: 1/4x + 3y − 23 = 42

x and y are variables as the changes for different set of values.

1/4 and 3 are coefficient as they are placed before and multiplying the variable.

-23, 42 is a constant as its value never changes in expression.

Thus for the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients  1/4 , 3are the constants are -23 , 42

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Answer:

120/7

Step-by-step explanation:

Answer:

[tex] < JHP \\ < H[/tex]

Step-by-step explanation:

[tex] < [/tex]

Note the letter in the number carries the angle I

sign.

According to the diagram, H is the angle

Answer:

The answer to this one is <JHP and <H

Step-by-step explanation:

Answer:

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Step-by-step explanation:

Let us represent:

The number of girls = g

The number of boys = b

Number of Adults = a

235 people are at RSM summer camp.

Hence,

g + b + a = 235 .......Equation 1

There are 35 more boys than girls, and 70 fewer adults than girls.

b = g + 35

a = g - 70

Hence we substitute g + 35 for b and g - 70 for a in Equation 1

g + b + a = 235 .......Equation 1

g + g + 35 + g - 70 = 235

3g + 35 - 70 = 235

3g - 35 = 235

3g = 235 + 35

3g = 270

g = 270/3

g = 90

Hence, there are 90 girls in the party.

Number of boys is calculated as:

b = g + 35

b = 90 + 35

b = 125

Number of Adults is calculated as:

a = g - 70

a = 90 - 70

a = 20

How many people of each group are at the camp?

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

( −∞,−5) interval notation, and inequality solution y < -5 ,

Step-by-step explanation:

Answer:

y<-5

Your Interval Notation would be an open circle and the arrow would be pointing to the left. (<-- (-6) --- (-5) --- (-4) -->) This will be your # line.

Step-by-step explanation:

9y+5(y+3) < 4y-35

1) Distribute the 5 in 5(y+3).

9y+5y+15 < 4y-35

2) Combine like terms. 9y and 5y.

9y+5y= 14y

14y+15 < 4y-35

3) MY TIP is to keep the variables on the left side, bc if you don't at the end you will have to flip the sign. so.. Subtract 4y from both sides

14y+15 < 4y-35

-4 -4

10y+15 < -35

3) Then you will subtract 15 from both sides

10y+15 < -35

-15 -15

10y < -50

4) Last is to divide to get your variable by itself.

10y < -50

÷10 ÷10

Answer : y < -5

Interval Solution: Open circle, -5 in the middle of the line and you will shade in the numbers to the left. .

Answer:

4, 6, 8

Step-by-step explanation:

Let the three consecutive integers be a, b, and c.

So, first, we know that they are three consecutive even integers. In other words:

[tex]a=2n,b=2n+2,c=2n+4[/tex]

N is any integer, but the 2n ensures that the outcome is even. Since we want to make the subsequent terms also even, we add 2.

We are told that when the first integer (a) is multiplied by the third integer (c), the result is 2 more than 5 times the second integer (b). In other words:

[tex]ac=2+5b[/tex]

Substitute:

[tex](2n)(2n+4)=2+5(2n+2)[/tex]

Distribute both sides:

[tex]4n^2+8n=2+10n+10[/tex]

Add on the right:

[tex]4n^2+8n=10n+12[/tex]

Subtract 10n and 12:

[tex]4n^2-2n-12=0[/tex]

Divide everything by 2:

[tex]2n^2-n-6=0[/tex]

Factor. Find two numbers that when multiplied equals (2)(-6)=-12 and when added equals -1.

3 and -4 works. Thus:

[tex]2n^2-4n+3n-6=0\\2n(n-2)+3(n-2)=0[/tex]

Combine:

[tex](2n+3)(n-2)=0[/tex]

Zero Product Property:

[tex]2n+3=0\text{ or } n-2=0[/tex]

Solve for n:

[tex]n=-3/2\text{ or } n=2[/tex]

So, n is either -3/2 or 2.

That means that a must be either:

[tex]a=2(-3/2)\text{ or } 2(2)[/tex]

Multiply:

[tex]a=-3\text{ or } 4[/tex]

The first answer is not even. So:

[tex]a=4[/tex]

Our first answer is 4.

And our sequence is 4, 6, and 8.

Checking:

4 times 8 is 32.

2 plus 5 times 6 is also 32.

So our answer is correct.

A linear function makes a straight line

A nonlinear graph is any curve that isn't a straight line. In this case, graph C is a parabola (from a quadratic function).

Graph A is a straight line.

Graph B is a straight line.

Graph C is not a straight line

Graph D is a straight line.

The non-linear graph is option D.

Option D is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Graph A

Graph B

Graph C

Graph D

A linear graph is a graph that is a straight line.

A non-linear graph is a graph that is not a straight line.

Now,

With the given coordinates on each graph, we see that,

Graph A is a straight line.

Graph B is a straight line.

Graph C is not a straight line

Graph D is a straight line.

Thus,

The non-linear graph is option D.

Option D is the correct answer.

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Answer:

Answer C:  g(x)

Step-by-step explanation:

I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).

The absolute max of g(x) is approximately (3.25, 6.1).

The absolute max of f(x) is approximately (2, -1).

Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct:  g(x) has the greater absolute maximum

Answer:

28.32

Step-by-step explanation:

multply them with a calculator, then take away the numbers you dont need

All we need to do is round up so we don't have any decimal.

Remember:

4 and below rounds down

5 and above rounds up

Since we have the number "0" in the tenths place, its below 0 so we round down.

7,425.07 -> 7,425

Therefore, the answer is [ 7,425 ]

Best of Luck!

Isolate the variable using algebraic manipulation.

[tex]-4 ln(6x)=2[/tex]

[tex]ln(6x)=-\frac{1}{2}[/tex]

[tex]6x=e^{-\frac{1}{2}}[/tex]

[tex]x=\frac{e^-\frac{1}{2}}{6}[/tex]

[tex]x=0.101[/tex]

Hope this helps.

頑張って!

Answer:

A) 0.101

Step-by-step explanation:

Using the calculator [tex]x = 0.101[/tex]

Answer:

21 and 22

Step-by-step explanation:

Let the two whole numbers be a and b.

Their product is 462. Hence, we can write that:

[tex]ab=462[/tex]

Likewise, because their sum is 42:

[tex]a+b=43[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} ab = 462 \\ a + b = 43 \end{cases}[/tex]

We can solve the system using substitution.

Isolating one variable in the second equation yields:

[tex]a=43-b[/tex]

From substitution:

[tex](43-b)(b)=462[/tex]

Distributing yields:

[tex]-b^2+43b=462[/tex]

Solve for b by factoring:

[tex]\displaystyle \begin{aligned} b^2 - 43d & = -462 \\ \\ b^2 - 43d + 462 & = 0 \\ \\ (b-21)(b-22) &= 0 \\ \\ b = 21 \text{ or } b & = 22 \end{aligned}[/tex]

Solve for a:

[tex]\displaystyle \begin{aligned} a& =43-(21) & \text{ or } a& =43-(22) \\ a&=22&\text{ or } a&=21\end{aligned}[/tex]

In conclusion, the two whole numbers are 21 and 22.

Answer:

The midpoint is ( 2,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add  the x coordinates and divide by 2

(-2+6)/2 =4/2 =2

To find the y coordinate of the midpoint, add  the y coordinates and divide by 2

( 1+-3)/2 = -2/2 = -1

The midpoint is ( 2,-1)

Answer:

(2, -1)

Step-by-step explanation:

Let M is the midpoint of that segment with the endpoints A(-2,1) and B(6,-3)

x-coordinate of M:

xM = (xA + xB) / 2 = (-2 + 6) / 2 = 4 / 2 = 2

y-coordinate of M:

yM = (yA + yB) / 2 = ( 1 + -3) / 2 = -2 / 2 = -1

Answer: M(2, -1)

Answer:

-1/2

Step-by-step explanation:

2(x-4)=6x-6

2x-8=6x-6

2x-6x-8=-6

-4x-8=-6

-4x=-6+8

-4x=2

x=2/-4

simplify

x=-1/2

Answer:

[tex]x = -\frac{1}{2}[/tex]

I hope this helps!

Answer:

Y = 1148.92(0.94^x) ; Y = 2.4

Step-by-step explanation:

Given the following data :

(14,500),(23,320),(37,150),(41,87),(56,40),(70,21)

X:

14

23

37

41

56

70

Y:

500

320

150

87

40

21

The exponential regression equation is expressed in the form :

Y = AB^x

A = Initial value

B = rate ; x = time

Using the online exponential regression calculator on the data provided :

Y = 1148.92(0.94^x)

Y = prediction

Estimate y, when x = 100

Y = 1148.92(0.94^100)

Y = 1148.92(0.0020548)

Y = 2.360800816

Y = 2.4

Answer:

2.4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

3 [tex]x[/tex] 8 = 24

24-6=18

so its 8

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

We have the final answer as

Hope this helps you

Answer:D

Step-by-step explanation:Edge

find x first 72-18+6=48

now make x=48

48-6=42

now x is 42

42+18=60

now x=60

Thnks!

|Brailiest!!!!!!!!!

Wen can turn both fractions into decimals.

1 1/3 = 1.333...

1/4 = 0.25

As we can see 1 1/3 is greater than 0.25.

Therefore, the answer is [ 1 1/3 > 1/4 ]

Best of Luck!

Answer: As the order quantity increases, annual ordering cost increases

Step-by-step explanation:

The Economic Order Quantity (EOQ) is simply referred to as the amount of units that should be added by a company to its inventory with each order in order to minimize total inventory costs such as order costs, holding costs, and shortage costs.

The incorrect option is that "as the order quantity increases, annual ordering cost increases". It should be noted that ordering costs are simply the expenses that are incurred in order for an order to be created and processed to a supplier. It should be noted that as the ordering quantity increases, it doesn't mean that the annual ordering costs also increase.

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

Answer:

-7,-5,-1,0

Step-by-step explanation:

The reason behind this is because if you think about it -7 is small number due to it being in the other side of the number line, and same goes with -5 and -1

Answer:

13 miles

Step-by-step explanation:

Add all of the number of miles you ran from each day to get your total mileage.

2+2+3+2+4

Answer:

C

Step-by-step explanation:

26*19=494

494/2=247

Step-by-step explanation:

Hey there!!!

1. Ans.

The formula for quadratic equation,

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

2. Ans.

When, the quadratic equation is given, in the form of;

[tex]a {x}^{2} + bx + c = 0[/tex]

Then, "a" is the coefficient of x "b" is the coefficient of y. and c is the constant value.

3.Ans.

[tex] \sqrt{ {b}^{2} - 4ac } \: tells \: us \: the \: type \: of \: solutions.[/tex]

Hope it helps..

Answer:

The page numbers are 266 and 267

Step-by-step explanation:

I divided 533 by 2

Then get 266.5

Then guessed and checked which pages around that value added up to 533

and you get pages 266 and 267

Answer: 1=2 so your answer would be false.

Step-by-step explanation:

Answer:

The answer is 1=2 which is false.

Step-by-step explanation:

5-1+(-3)= 3+(-1)

or, 5-1-3 = 3-1

or, 5-4 = 2

or, 1=2