A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

What is the options?

a2 + b2 = c2 can be use to find missing lengths of the right triangles

Answer:

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

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

then solve which the final answer will give you x=8

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

Answer:

85 students and 70 adults attended the game.

How many students and adults attended the game?

Step-by-step explanation:

Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let

s = the number of student tickets sold

a = the number of adult tickets sold

there were 155 people at the basketball game

s + a = 155

the total money received for admission was $492.50

2.50s + 4a = 492.50

by solving the system of equations

s + a = 155

2.50s + 4a = 492.50

we find

s = 85 students

a = 70 adults

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

https://brainly.com/question/29126055

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9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

Answer:180

Step-by-step explanation:

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

Answer:

5³

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

Let months be x

[tex]\\ \sf\longmapsto 80+15x=29x[/tex]

[tex]\\ \sf\longmapsto 29x-15x=80[/tex]

[tex]\\ \sf\longmapsto 14x=80[/tex]

[tex]\\ \sf\longmapsto x\approx 6months[/tex]

Answer:

43  months in ymca including the $80 sign up fee is equal to 25 months in blink

Step-by-step explanation:

$725 divided by $29 =25 months

$ 725 - $80 sign up = $645 .

Now we divide this by $15.

$645 divided by 15= 43 months

5 is the answer ok I'll explain

... None?

Not A because y = 2 is shown as forever 2 so cannot go through both points.

Not B because y = -x cannot go through (5,-2)

Not C because y = -2 cannot go through (0,0)

Not D because y = x cannot go through (5,2)

Answer:

10.3 pounds

Step-by-step explanation:

Answer:

10.3 pounds

Step-by-step explanation:

15.8-5 1/2 is 10.3

Answer:

20 girls.

Step-by-step explanation:

If 32 divided by 8 is 4, then 4x8= 32.

We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

$29,700 on the hours, and $79,200 in commission.

I hope i helped! :)

Answer:

4

Step-by-step explanation:

$8.00+$2.25 = $10.25

$50.00÷$10.25= 4.

Answer:

its 5823

Step-by-step explanation:

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