Answer:
First, think of it as 3 different expressions.Go through them one at a time. There is:

-2a(a+b-5) ] +3(-5a+2b) ] +b(6a+b-8)

Multiply everything out.] Multiply everything out. ]Multiply everything out

-2a x a = -2a² ] +3 x -5a = -15a ] +b x 6a = 6ab

-2a x b = -2ab ] +3 x 2b = 6b ] +b x b = b²

-2a x -5 = 10a ] -15a + 2b =**-15a+2b** ] +b x -8 = -8b -2a² + -2ab + 10a = ] ] 6ab + b² + -8b =

**-2a²+-2ab+10a** ] ] **6ab+b²+-8b**

Now add everything up, but before that, remember these algebraic rules:

∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1

∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1

∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.

Following these rules, -2a²+-2ab+10a+-15a+2b+6ab+b²+-8b =

**4ab-5a-6b+b²-2a²**

Hope that helps you and that it wasn't too tricky to understand. :)

-2a(a+b-5) ] +3(-5a+2b) ] +b(6a+b-8)

Multiply everything out.] Multiply everything out. ]Multiply everything out

-2a x a = -2a² ] +3 x -5a = -15a ] +b x 6a = 6ab

-2a x b = -2ab ] +3 x 2b = 6b ] +b x b = b²

-2a x -5 = 10a ] -15a + 2b =

Now add everything up, but before that, remember these algebraic rules:

∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1

∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1

∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.

Following these rules, -2a²+-2ab+10a+-15a+2b+6ab+b²+-8b =

The Martins drove the 468 miles between Memphis, Tennessee and Cincinnati, Ohio in one day. If they left Memphis at 7 a.m. and arrived in Cincinnati at 4 p.m., what was the Martins’ average speed?

It is 143 miles from Columbus to Cleveland and 107 miles from Columbus to Cincinnati. How much further is it from Columbus to Cleveland than Columbus to Cincinnati?

Suppose you earn $6 per hour at your part time job what will your new rate be after a 2.5% raise

The Weston Laundry washes all the linens for local hotels. In 7 days, they washed 285.38 pounds of towels and 353.47 pounds of sheets. About how many pounds of laundry did they wash each day?

How do you do this I need help

It is 143 miles from Columbus to Cleveland and 107 miles from Columbus to Cincinnati. How much further is it from Columbus to Cleveland than Columbus to Cincinnati?

Suppose you earn $6 per hour at your part time job what will your new rate be after a 2.5% raise

The Weston Laundry washes all the linens for local hotels. In 7 days, they washed 285.38 pounds of towels and 353.47 pounds of sheets. About how many pounds of laundry did they wash each day?

How do you do this I need help

to start with $300, and then save $100 each month. Sally has $6000 and decides

to put her money in the bank in an account that has a 7% interest rate that is

compounded annually. Natalie has $5000 and decides to put her money in the

bank in an account that has a 10% interest rate that is compounded continuously.

How much money have after 2 years?

How much money will sally have in 10 years?

What type of exponential model is Natalie’s situation?

Write the model equation for Natalie’s situation

How much money will Natalie have after 2 years?

How much money will Natalie have after 10 years

**Answer:**

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2)

Part 3)

Part 4)

Part 5) Is a exponential growth function

Part 6)

Part 7)

Part 8)

Part 9) Is a exponential growth function

Part 10) or

Part 11)

Part 12)

Part 13) Natalie has the most money after 10 years

Part 14) Sally has the most money after 2 years

**Step-by-step explanation:**

**Part 1)** What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

y=mx+b

The slope is equal to

The y-intercept or initial value is

so

therefore

John’s situation is modeled by a linear equation

**Part 2)** Write the model equation for John’s situation

see part 1)

**Part 3)** How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

For x=120 months

substitute in the linear equation

**Part 4)** How much money will John have after 2 years?

Remember that

1 year is equal to 12 months

so

For x=24 months

substitute in the linear equation

**Part 5)** What type of exponential model is Sally’s situation?

we know that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

substitute in the formula above

therefore

Is a exponential growth function

**Part 6)** Write the model equation for Sally’s situation

see the Part 5)

**Part 7)** How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

**Part 8)** How much money will Sally have after 2 years?

For t=2 years

substitute the value of t in the exponential growth function

**Part 9)** What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

substitute in the formula above

Applying property of exponents

therefore

Is a exponential growth function

**Part 10) **Write the model equation for Natalie’s situation

or

see Part 9)

**Part 11)** How much money will Natalie have after 10 years?

For t=10 years

substitute

**Part 12)** How much money will Natalie have after 2 years?

For t=2 years

substitute

**Part 13**) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

**Part 14**) Who will have the most money after 2 years?

Compare the final investment after 2 years of John, Sally, and Natalie

Sally has the most money after 2 years

h = 18.6 cm

area =hb

h=18.6

b=87

area=(18.6)(87)

a=1618.2 cm^2

h=18.6

b=87

area=(18.6)(87)

a=1618.2 cm^2

The area would be 1618.2 cm. I think I am not positive.

**Answer: There are 26 trees which they chop down .**

**Explanation:**

Since we have given that

the number of trees they chop down is given by

Where 'b' denotes number of hours Ben spends chopping,

'c' denotes number of hours Cam spends chopping,

'j' denotes number of hours Justin spends chopping.

Now, we have also given that,

Number of hours Ben spends chopping = 8

Number of hours Cam spends chopping = 3

Number of hours Justin spends chopping = 4

**Now, we put the value of all these variable in the above expression ,we'll get**

**Hence, there are 26 trees which they chop down .**

Substitute the values into the equation...

b = 8 so 8+2c+3j

c = 3 if 8+2(3)+3j or 8+6+3j

j = 4 8+6+3(4) or 8+6+12

Add this all together and you get...

26 trees

b = 8 so 8+2c+3j

c = 3 if 8+2(3)+3j or 8+6+3j

j = 4 8+6+3(4) or 8+6+12

Add this all together and you get...

26 trees

5200ft 145in is less than 1mi 40in because 1mi 40in is equal to 5283.33 ft

Divide 10 by 5.

10/5=2

2 liters per thermus.

10/5=2

2 liters per thermus.

Agreed. 10 divided by 5 is equally 2. 2 litres per thermos.

the answer is 832,459

Well, first we have to see how many numbers can go in-between those numbers.

So 832,458 - 832,500 = 42

So 42 numbers can go in-between that number here is all of them:

832,459

832,460

832,461

832,462

832,463

832,464

832,465

832,466

832,467

832,468

832,469

832,470

832,471

832,472

832,473

832,474

832,475

832,476

832,477

832,478

832,479

832,480

832,481

832,482

832,483

832,484

832,485

832,486

832,487

832,488

832,489

832,491

832,492

832,493

832,494

832,495

832,496

832,497

832,498

832,499

Hope I Helped You!!!

So 832,458 - 832,500 = 42

So 42 numbers can go in-between that number here is all of them:

832,459

832,460

832,461

832,462

832,463

832,464

832,465

832,466

832,467

832,468

832,469

832,470

832,471

832,472

832,473

832,474

832,475

832,476

832,477

832,478

832,479

832,480

832,481

832,482

832,483

832,484

832,485

832,486

832,487

832,488

832,489

832,491

832,492

832,493

832,494

832,495

832,496

832,497

832,498

832,499

Hope I Helped You!!!