Answer:
11/12 because 11 divided by 12 is 0.9166667 and 8 divided by 9 is 0.8889

A total of four x is less an or equal to 8

The scale of a square map indicates that each inch on the map corresponds to 5 miles. Write an expression that describes the area of land shown on the map. If the map is 8 inches on one side, what is the area of land shown on the map.

A.Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have a surgery on his leg. The cost of the surgery is$2500. His owner will get a loan for this amount over 2 years at a rate of 7.5%. How much will th entrust be on this loan ?b. What is the total cost of the surgery including the loan and the interest. ( Show work for A and B )

Help please show work

Jill is playing a game in which a number cube is rolled two times. The sum of the rolls is recorded. What is the sample space for the game? (PLEASE HELP)!!!!!a. 1,2,3,4,5,6, b. 2,3,4,5,6,7,8,9,10,11,12 c. 1,2,3,4,5,6,7,8,9,10,11,12 d. 1,2,3,4,5,6,7,8,9,10,12,15,16,18,20,24,25,30,36 (PLEASE HELP ASAP)

The scale of a square map indicates that each inch on the map corresponds to 5 miles. Write an expression that describes the area of land shown on the map. If the map is 8 inches on one side, what is the area of land shown on the map.

A.Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have a surgery on his leg. The cost of the surgery is$2500. His owner will get a loan for this amount over 2 years at a rate of 7.5%. How much will th entrust be on this loan ?b. What is the total cost of the surgery including the loan and the interest. ( Show work for A and B )

Help please show work

Jill is playing a game in which a number cube is rolled two times. The sum of the rolls is recorded. What is the sample space for the game? (PLEASE HELP)!!!!!a. 1,2,3,4,5,6, b. 2,3,4,5,6,7,8,9,10,11,12 c. 1,2,3,4,5,6,7,8,9,10,11,12 d. 1,2,3,4,5,6,7,8,9,10,12,15,16,18,20,24,25,30,36 (PLEASE HELP ASAP)

ok so since she makes groups of 5 an no left over, the number is divisble by 5

means that it ends with 5 or 0

possible ones are

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95

groups of 2, will have 1 jelly bean left over

it is not divisble by 2, means it doesn't end with 0 (ending with 0 means it is divisible by 10, and 10 is divisible by 2)

5,15,25,35,45,55,65,75,85,95

groups of 3

not divisble by 3 (a hack to test, is that you add the digits and if the sum is divisble by 3, then the number is divisble), the list below is eliminated numbers divisble by 3

5,25,35,55,65,85,95

if makes group of 2 will have exactly 1 left over

5/3 has remainder of 2, eliminate

25 works so far (2*12=24,3*8=24,4*6=24)

35/4 has remainder of 3, eliminate

55/4 has remainder of 3, eliminate

65/3 has remainder of 2, eliminate

85 works

95/3 has remainder of 2,eliminate

the ones that work are 25 aand 85

she could have 25 or 85 jelly beans

means that it ends with 5 or 0

possible ones are

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95

groups of 2, will have 1 jelly bean left over

it is not divisble by 2, means it doesn't end with 0 (ending with 0 means it is divisible by 10, and 10 is divisible by 2)

5,15,25,35,45,55,65,75,85,95

groups of 3

not divisble by 3 (a hack to test, is that you add the digits and if the sum is divisble by 3, then the number is divisble), the list below is eliminated numbers divisble by 3

5,25,35,55,65,85,95

if makes group of 2 will have exactly 1 left over

5/3 has remainder of 2, eliminate

25 works so far (2*12=24,3*8=24,4*6=24)

35/4 has remainder of 3, eliminate

55/4 has remainder of 3, eliminate

65/3 has remainder of 2, eliminate

85 works

95/3 has remainder of 2,eliminate

the ones that work are 25 aand 85

she could have 25 or 85 jelly beans

so we are told that if the teacher makes the number of jelly beans she has (call that x) into groups of 2, 3, or 4 she'll have 1 jelly left over. to put that in math terms, x leaves a remainder of 1 when divided by 2, 3, or 4. This then implies that (x-1) is a multiple of 2, 3, or 4 (think about it!!!). all common multiples of 2, 3, or 4 must be a multiple of the LEAST common multiple of 2, 3 and 4. the least common multiple of those 3 numbers is 12. this means our common multiples can be:

12, 24, 36, 48, 60, 72, 84, 96 (we stop listing here because the number of jelly beans is less than 100)

this also means the possible number of jelly beans she can have is the numbers in the previous list plus 1 (remember it is x-1 NOT x that is the common multiple of 2, 3, 4):

13, 25, 37, 49, 61, 73, 85, 97

now we use our last clue which is if the teacher groups her jelly beans in groups of 5 there will be none left over. this is equivalent to saying that the number of jelly beans is a multiple of 5. we look through our 2nd list and find that only 25, and 85 is a multiple of 5. therefore the number of jelly beans the teacher can have is 25 and 85.

note that we took the problem in steps and used process of elimination to determine which of the natural numbers less than 100 can be the answer to the question. this is a very very good strategy in problem solving, but it can be challenging to know what order to take the "steps" but that can be mastered with patient practice.

let me know if you have any questions!!!!

12, 24, 36, 48, 60, 72, 84, 96 (we stop listing here because the number of jelly beans is less than 100)

this also means the possible number of jelly beans she can have is the numbers in the previous list plus 1 (remember it is x-1 NOT x that is the common multiple of 2, 3, 4):

13, 25, 37, 49, 61, 73, 85, 97

now we use our last clue which is if the teacher groups her jelly beans in groups of 5 there will be none left over. this is equivalent to saying that the number of jelly beans is a multiple of 5. we look through our 2nd list and find that only 25, and 85 is a multiple of 5. therefore the number of jelly beans the teacher can have is 25 and 85.

note that we took the problem in steps and used process of elimination to determine which of the natural numbers less than 100 can be the answer to the question. this is a very very good strategy in problem solving, but it can be challenging to know what order to take the "steps" but that can be mastered with patient practice.

let me know if you have any questions!!!!

**Answer:**

0.2 (compression)

**Step-by-step explanation:**

Given

Length of paper = 11 inches,

Width of paper = 8 1/2 = 17/2 inches

Length of logo = 2 1/5 = 11/5 inches

Width of logo = 1 7/10 = 17/10 inches

Scale factor based on Length

=Length of Logo ÷ Length of paper

= 11/5 ÷ 11

= 0.2 (since it is less than 1, this is a compression)

(Sanity Check: Check width scale factor = length scale factor)

Scale factor based on width

=Width of Logo ÷ Width of paper

= 16/10 ÷ 17/2

= 0.2 (this is the same as the length scale factor so this checks out ok!)

Total area = area of rectangle + area of triangle

area of rectangle = l * w

area of triangle= 1/2 ( b * h )

rectangle- 26 * 31 = 806

triangle- 1/2 ( 26 * 17 ) [ <-- 48 - 31 ] = 221

221 + 806 = 1027 ft squared

area of rectangle = l * w

area of triangle= 1/2 ( b * h )

rectangle- 26 * 31 = 806

triangle- 1/2 ( 26 * 17 ) [ <-- 48 - 31 ] = 221

221 + 806 = 1027 ft squared

2 ways

cut into rectangle and triangle

2 recognize teh trapezoid

cut into rectangle and triangle

area of rectnagle=height times base

are oftrianngle=height times base times 1/2

rectangle=26 times 31=806

triangle

we have to know the base legnth

since the top is 31

and bottom is 48

the extra bit is 48-31=17

base=17

height=26

area=1/2 times 26 times 17=221

add

rectangle+traingle=806+221=1027 square units

other way

area of trapezoid=1/2(b1+b2) times height

b1=31

b2=48

height=26

A=1/2(31+48) times 26

A=1027 squaer units

cut into rectangle and triangle

2 recognize teh trapezoid

cut into rectangle and triangle

area of rectnagle=height times base

are oftrianngle=height times base times 1/2

rectangle=26 times 31=806

triangle

we have to know the base legnth

since the top is 31

and bottom is 48

the extra bit is 48-31=17

base=17

height=26

area=1/2 times 26 times 17=221

add

rectangle+traingle=806+221=1027 square units

other way

area of trapezoid=1/2(b1+b2) times height

b1=31

b2=48

height=26

A=1/2(31+48) times 26

A=1027 squaer units

I hope this helps you

2/3x+1/6x=9+1

4/6x+1/6x=10

5/6x=10

5/10=6x

x=1/12

2/3x+1/6x=9+1

4/6x+1/6x=10

5/6x=10

5/10=6x

x=1/12

What is the measure of each

exterior angle?

Please help!!

The measure of each **exterior** angle is **3.6°** provided the regular polygon has** 100 sides. **This can be obtained by using formula for finding the same.

The formula for finding **exterior angle** of a regular polygon is,

⇒ **360°/number of sides**

Given that, number of sides =** 100**

By using the formula, exterior angle =360°/100 = **3.6°**

Hence the measure of each **exterior** angle is **3.6°** provided the regular polygon has** 100 sides.**

Learn more about **finding exterior angle of regular polygon** here:

#SPJ2

**Answer:**

3.6° = ext. angle

**Step-by-step explanation:**

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

b: $ -1

c: $ 1

d: $ 61

A:$-61 is the correct answer

I would say A, if Mariel is writing the checks, doesn't this mean that she is taking money away from her accounts? A: $ -61