Answer the questions below about Line 1 and Line 2 shown below.
Line 1
(3 +9) + 5
3+ (9+5)
Line 2
The expression was rewritten using the
(3+9) + 5 equals
3+ (9+5) equals 3+
+5 which equ Commutative Property of Addition
Associative Property of Multiplication
Distributive Property
Commutative Property of Multiplication
Associative Property of Addition
which equ
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Answer:

2x -8x+15=0

-6x+15=0

-6x= 15

x= 5/2

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

x(2)-8×+15=0 combine like terms

-6x+15=0 subtract 15 from both sides

-6×=-15 divide by -6 on both sides

x=2.5

Answer: 120x

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out by making some assumptions.

Let's say Jamie's older brother and his three friends want to split the cost of lunch that costs $30 and they also want to leave a 20% tip. How much should each person pay?

Cost of the lunch = $30

Tip = 20% × $30 = 0.2 × $30 = $6

Total amount to be paid = $30 + $6 = $36

Since there are four people and they want to share the cost, each person would pay:

= $36 / 4

= $9

Answer:

Positive exponent

Step-by-step explanation:

Like x root 1 , 2 , 3 etc

If it said negative exponent then x root -1, -2 etc etc.

Answer:

Step-by-step explanation:

When writing negative exponents as positive exponents, you move the base (the number being exponentiated) to the denominator and the exponent becomes positive.

For example: [tex]4^{-3} =1/4^3\\\\[/tex]

Answer:

$5,175

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 4500 × 0.05 × 3 = 675

I = $ 675.00

The simple interest accumulated

on a principal of $ 4,500.00

at a rate of 5% per year

for 3 years is $ 675.00.

Answer:

1.625²

Step-by-step explanation!

1.625 x 1.625 is just 1.625 two times. So you add a 2 on the top which represents the number. You can write 1.625² instead of putting 1.625 x 1.625.  

1.625 x 1.625 can be written in exponential form as [tex]1.625^2[/tex]

Given :

The given expression is 1.625 x 1.625 . we need to write it in exponential form

The exponent is in the form of [tex]b^x[/tex], where 'b' is the base and 'x' is the exponent

base is the number and x is the exponent that is repeating number of times

For example , [tex]2 \cdot 2 \cdot 2 = 2^3[/tex]

where 2 is the base and 2 is occurring three times

so exponent is 3

1.625 x 1.625 can be written in exponential form as [tex]1.625^2[/tex]

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Answer:

[tex]( {2x}^{2} - 3)(4x + 3) \\ = 8 {x}^{3} + {6x}^{2} - 12x - 9 \\ [/tex]

Step-by-step explanation:

[tex]h(x).g(x) = (2 {x}^{2} - 3)(4x + 3) \\ \boxed{8 {x}^{3} + 6 {x}^{2} - 12x - 9 }✓[/tex]

Answer:

64:16

32:8

16: 4

8:2

4:1

Step-by-step explanation:

Looking at the pattern, we have to multiply the value on the right by 4 to get the value on the left

Also, as we go down, we divide each of either sides by 2 to get the next term

in line

So we fill in the ratio as follows;

64:16

32:8

16: 4

8:2

4:1

Answer:

12

Step-by-step explanation:

Step 1: plug 2 into x

–3(2) + 1.5 + 2.5(2) – 4.5 + 8(2)

Step 2: simplify

-6 + 1.5 + 5 - 4.5 + 16

Step 3: add all the numbers

-6 + 1.5 + 5 - 4.5 + 16 = 12

Answer:

12

Step-by-step explanation:

-3(2)+1.5+2.5(2)-4.5+8(2)

-6+1.5+5-4.5+16

-6+6.5-4.5+16

-6+6.5+11.5

-6+18

12

Answer:100 degrees

its 100

Answer:

b) 83.2 c) 62.5

Answer:

Step-by-step explanation:

Simply plug each x value into the equation

1.

-3, 0, 3, 6, 8, yes it is linear, it doesn't have any exponents

2.

Same thing

5,2,1,2,5, it has exponenets and is not linear

Answer:

The number of branches triples every 15 years.

Step-by-step explanation:

Satoshi started studying how the number of branches on his tree grows over time.

The relationship between the elapsed time t, in years, since Satoshi started studying the tree, and the number of its branches, N(t), is modeled by the following function:

N(t) = 24 - 3^t/15

Complete the following sentence about the growth rate of the branches. The number of branches triples every years.

The number of branches triples every 15 years.

Given is that the relationship between the elapsed time [t], in years, since Satoshi started studying the tree, and the number of its branches [N(t)], is modeled by the following function → N(t) = 24 - 3^t/15

The function that models the situation is -

N(t) = 24 - 3ⁿ/15    .... Eq[1]

After tripling the number of branches, we can write -

3N(t) = 24 - 3ⁿ/15

N(t) = {24 - 3ⁿ/15}/3     ..... Eq [2]

Equating both equations, we get -

{24 - 3ⁿ/15} = {24 - 3ⁿ/15}/3

3{24 - 3ⁿ/15} = {24 - 3ⁿ/15}

72 - 3ⁿ/5 = 24 - 3ⁿ/15

72 - 24 = 3ⁿ/5 - 3ⁿ/15

48 = 3ⁿ(1/5 - 1/15)

n = 15

Therefore, the number of branches triples every 15 years.

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Answer:

I think the second choice?

Step-by-step explanation:

Answer:

$1000 for 10 years at 6% interest.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 100 × 0.06 × 50 = 300

I = $ 300.00

The simple interest accumulated

on a principal of $ 100.00

at a rate of 6% per year

for 50 years is $ 300.00.

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 1000 × 0.06 × 10 = 600

I = $ 600.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 6% per year

for 10 years is $ 600.00.

Answer:

fbk;lm vn;djkfbnjklnbjknjobjnjnbjnbgjnbgjnbgjn

Step-by-step explanation:

Answer:

one jumbo cost $4 and one chocolate cost $2

Step-by-step explanation:

Let the price eif one jumbo be x

Let the price of one chocolate be y

If one jumbo and 2 chocolate cost$6, then

x+2y= 6 ... 1

If one jumbo and 4chocolate cost $8, then;

x +4y = 8... 2

Subtract both equations

2y -4y = 6-8

-2y= -2

y = 1

Substitute y = 1 into 1;

From 1, x+2y = 6

x +2(1) = 6

x = 6-2

x = 4

Hence one jumbo cost $4 and one chocolate cost $2

Answer:

(1.3)(2.5)(3.7)(4.9)(5.11)

(1.1)(2.5)(3.9)(4.13)(5.17)

Answer:

1.5 cups of lemonade per 1 lemon

Step-by-step explanation:

find the unit rate:

4/4=1

6/4=1.5

1.5 cups of lemonade per 1 lemon

I hope I read this correctly

Answer:

Many accounts of the atom begin with a history of the growth in scientists' understanding of its structure, but here we will take the opposite approach, first discussing the atom in terms of what physicists and chemists today understand. Only then will we examine the many challenges scientists faced in developing the current atomic model: false starts, wrong theories, right roads not taken, incomplete models. In addition, we will explore the many insights added along the way as, piece by piece, the evidence concerning atomic behavior began to accumulate. People who are not scientifically trained tend to associate studies of the atom with physics, not chemistry. While it is true that physicists study atomic structure, and that much of what scientists know today about atoms comes from the work of physicists, atomic studies are even more integral to chemistry than to physics. At heart, chemistry is about the interaction of different atomic and molecular structures: their properties, their reactions, and the ways in which they bond.

Step-by-step explanation:

Sample Response: "Studying atoms is important because knowledge about atoms helps people to understand the world around them and produce materials used in daily life. Also, research done on atoms has contributed to the improvement of people's lives through medicine, to the protection of the environment, and to the discovery of new things about the world and the universe."

Answer and Step-by-step explanation:

Given the system of equations:

2x – 5y = 13

–3x + 2y = 13

We can decide to eliminate either x or y in order to solve the simultaneous equations.

1. To eliminate x:

Multiply the first equation by the coefficient of x in the second equation and multiply the second equation by the coefficient of x in the first equation. By doing this the coefficients of x in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of x in the second equation is –3, if we multiply the first equation by it we have:

–6x+15y = –39

The coefficient of x in the first equation is 2, if we multiply the second equation by it we have:

–6x+4y = 26

Subtracting the resulting equations we have:

11y = –65 and x is eliminated.

2. To eliminate y:

Multiply the first equation by the coefficient of y in the second equation and multiply the second equation by the coefficient of y in the first equation. By doing this the coefficients of y in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of y in the second equation is 2, if we multiply the first equation by it we have:

4x–10y = 26

The coefficient of y in the first equation is –5, if we multiply the second equation by it we have:

15x–10y = –65

Subtracting the resulting equations we have:

–11x = 91 and y is eliminated.

P=2.50x+100

The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)

The product of the expressions is 12y⁵-3y³+27y²

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, two expressions, -3y² and (-4y³+y-9) we need to find their products,

So,

= -3y² x (-4y³+y-9)

= -3y²(-4y³) -3y²(y) -3y²(-9)

= 12y⁵-3y³+27y²

Hence, the product of the expressions is 12y⁵-3y³+27y²

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Answer:

12a + 24 = 6(2a + 4)

Step-by-step explanation:

Given the numbers :

4, 12a 6 2a and 24 ; create an equivalent expression :

12a, 2a, 4, 6, 24

We could separate tbe constant terms and those with variables :

12a, 2a ; 6, 4, 24

We could put the larger digit to one side

12a + 24 = 6(2a + 4)

This way the Right hand side is equal to the left hand side.

Check:

12a + 24 = 6(2a + 4)

12a + 24 = 12a + 24

Hence, the proof