A circular sinkhole has a circumference of 75.36 meters. A week later, it has a circumference of 150.42 meters.
a. Estimate the diameter of the sinkhole each week.

At first, the sinkhole has an approximate diameter of
meters. A week later, the diameter is about ____
meters.



b. How many times greater is the diameter of the sinkhole a week later?

The diameter of the sinkhole now is about ___
times greater compared to a week later.

Step-by-step explanation:

Y^5 * Y^3  /  Y^2   =  Y ^(5+3 -2) = Y^6

Rewrite the division as a fraction.

[tex]\dfrac{y^5\times y^3}{y^2}[/tex]

Multiply y⁵ by y³ by adding the exponents.

[tex]\dfrac{y^8}{y^2}[/tex]

Cancel the common factor of y⁸ and y²

[tex]\bold{y^6}[/tex]

Answer:

Step-by-step explanation:

You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.

Let x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.

  25(60 -x) +40x = 2025 . . . . total miles driven

Simplify the equation:

  1500 +15x = 2025

  15x = 525 . . . . . . . . . . subtract 1500

  x = 35 . . . . . . . . . . divide by 15

  60-x = 25 . . . . . gallons used by car 1

The first car used 25 gallons; the second car used 35 gallons.

__

Additional comment

The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.

Answer:47

Step-by-step explanation:

x=180-(102+31)

X=47

Answer: I came here for math then I found this

Answer:

Sorry but NO

Step-by-step explanation:

Answer:

Point (−8, 6), and it is 11 units away

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.

Answer:

Step-by-step explanation:

the mean would be 86 because you add them all together and then divide the sum by the amount of numbers there.

all the answers added = 946 then you do 946 divided by 11 which gives you 86.

the minimum is just the lowest and maximum is the highest number so minimum is 59 and maximum would be 122.

the range is the lowest to the highest so the range is 59-122.

Answer:1/30

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

This is defined as a transversal in geometry, where one line intersects two straight lines.

It is given that one of the angles is 42°. Let the angle that measure 42° be denoted as ∠42.

∠4 ≅ ∠42 based on the alternate interior angles theorem.

∠4 ≅ ∠7 based on the vertical angles theorem.

Therefore, ∠42 ≅ ∠7 based on CPCTC.

Therefore,

m∠7 = 42°.

~

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Answer:

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Step-by-step explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.

Answer:

3rd point see explanation

Step-by-step explanation:

y-2<-5

y-2+2<-5+2

y<-3

Answer:

2x+6-6x-18

-4x-12

Step-by-step explanation:

Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Answer:

19%

Step-by-step explanation:

Percentage tip = (Tip/Dinner cost) x 100

Percentage tip = ($5.32/$28) x 100

Percentage tip = 0.19 x 100

Percentage tip = 19%

Therefore, Cooper gave a 19% tip on his dinner.

Answer: 19%

Step-by-step explanation:

Answer58

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

8x3x5 = 120

10x2x6= 120

Btw someone please answer my question

Answer:

B for alyssa  : $0.29 per oz, or 29 cents per oz.

Step-by-step explanation:

find common denominator

1x3=3 5x3=15  so 3/15

2x5=10 3x5=15 so 10/15

To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.

Answer:

True

False

False

True

False

Option 1 : 1/20 × 200

Option 3 : 10

Above options are only correct for the given question.

First of all, let us calculate the value of 5% of 200

⇒ 5/100 × 200 = 1/20 × 200 = 10

Now, check each option whether they give the same value i.e., 10.

Option 1 : 1/20 × 200

⇒ 1/20 × 200 = 10

Hence, the above expression is equivalent to 5% of 200.

Option 2 : 1/5 × 200

⇒ 1/5 × 200 = 40

Hence, the above expression is not equivalent to 5% of 200.

Option 3 : 1/2 ÷ 200

⇒ 1/2 ÷ 200 = (1/2) × (1/200) = 1/400

Hence, the above expression is not equivalent to 5% of 200.

Option 4 : 10

This option is correct as the value of 5% of 200 is 10.

Option 5 : 5

This option is incorrect as the value of given expression is 10.

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Answer:

27

Step-by-step explanation:

cut the shape into 3 rectangles and one square

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 3 = 9

4.5 + 4.5 + 4.5 + 4.5 + 9 = 27

Answer:1.5

Step-by-step explanation:

Answer:

3:4

Is the required answer

Answer:

Ok

Step-by-step explanation:

hexagon

regular polygon

Pentagon

Answer:

hexagon

Pentagon

Step-by-step explanation: :/

Answer:

Step-by-step explanation:

Infinitely many.

The two equations are the same yet formatted differently. Because these lines will overlap each other, the answer is infinitely many.

Quadratic equations are polynomial equations of degree 2. They can be written in the form ax² + bx + c = 0, where a, b, and c are constants. The graph of a quadratic equation is a parabola.

Transformations involve shifting or reflecting the graph of a quadratic equation. The most common transformations are shifting the graph left or right (by adding or subtracting a constant from x), shifting the graph up or down (by adding or subtracting a constant from y), and reflecting the graph across the x-axis or y-axis.

The axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. The equation of the axis of symmetry for a quadratic equation of the form y = ax² + bx + c is x = -b/2a.

The vertex is the point on the parabola where it reaches its maximum or minimum value. The vertex of a quadratic equation of the form y = ax^2 + bx + c is (-b/2a, c - b²/4a).

The domain of a quadratic equation is the set of all real numbers for which the equation is defined. The range is the set of all possible y-values that the equation can take. You can find the domain and range of a quadratic equation by looking at its graph.

In recognizing quadratic equations, you can tell if an equation is quadratic by looking at the powers of the variables. A quadratic equation will always have a variable raised to the power of 2.

When substituting negative numbers into a quadratic equation, it can be helpful to use parentheses to avoid confusion. For example, to evaluate y = x² - 4x - 6 at x = -2, you would write y = (-2)² - 4(-2) - 6 = 16 + 8 - 6 = 18.

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Answer:

2*30=15+2*3.5=37%

Step-by-step explanation:

Answer:

He spends $37 each.

Step-by-step explanation:

If you add together the spent money then you get $37:

$30 + $7 = $37

Answer:

a) the result is -X³-2x -7

b) no