Angela is riding a scooter around her neighborhood. The front wheel has a diameter of 10 inches and the back wheel has a diameter of 5 inches. The scooter is moving at a speed of 10 inches per second.

As she is riding her scooter, a spider hops onto the front wheel. Angela looks down and thinks that if the praying mantis has a good grip that he will go all the way around the wheel in just 1 second. Is Angela right or wrong? Why?

If she is wrong find the amount of time it will take to go all the way around

Answers

Answer 1

Answer:

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.

Step-by-step explanation:

The font wheel has a diameter of 10 inches. Thus;

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{10}{2}[/tex]

           = 5 inches

Circumference of a circle = 2[tex]\pi[/tex]r

⇒ The circumference of the front wheel = 2[tex]\pi[/tex]r

                          = 2 x [tex]\frac{22}{7}[/tex] x 5

                          = 31.4286

The circumference of the front wheel is 31.43 inches.

The total distance to be covered by the mantis = circumference of the front wheel

                                        = 31.43 inches

But,

speed = [tex]\frac{distance}{time}[/tex]

The scooter moves with a speed of 10 inches per second, so that;

10 = [tex]\frac{31.43}{time}[/tex]

⇒ time = [tex]\frac{31.43}{10}[/tex]

            = 3.143 s

The time taken to complete a revolution by the mantis is 3.14 seconds.

Therefore,

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.


Related Questions

100 Points on the line. Also will mark brainliest if you get it right.

Answers

Answer:

1. D

2. A.

3. D.

pls solve/simplify
(y2 + 6)(-2y2 + 7) =

Answers

Answer:

-2y^4 -5y^2 +42

Step-by-step explanation:

Answer:

the correct answer is −2y4-5y2+42

Step-by-step explanation:

distribute the problem out so you can solve it to simplify

(y2+6)(−2y2+7)

(−2

(3x +8) - 6(2.5x - 3)

Answers

If you’re looking to simply the expression, the answer is -12x+26

Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?

Answers

Answer:

Three cups of oil will be needed

Step-by-step explanation:

Here, we are told that the recipe calls for a 3/4 of a cup of oil per serving

Thus for 2 2/3

What is needed will be 2 2/3 * 3/4

= 8/2 * 3/4 = 24/8 = 3

I am less than 10 l am not a multiple of 2 l am a composite number.

Answers

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

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Evaluate the expression when g=4 and h=38.

h-3g

Answers

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

what is two hundred and forty dived by six

Answers

The answer to that is 40.
The answer is 24.166

It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).

Answers

Answer:

1)110m^2

2)1.75m

3)96.25m^2

Step-by-step explanation:

Rate of painting= The cost to paint it /

inner curved surface area of the vessel

20m^2=(Rs 2200 /inner curved surface area of the vessel)

If we make inner curved surface area of the vessel subject of the formula,

inner curved surface area of the vessel= =(Rs 2200/20)

= 110m^2

2)cost surface area of a cylinder can be calculated using expression below

(2πrh,) then the values was calculated in question 1 as 110m^2

Then from (2πrh=110) we can make "r" subject of the formula

r= 110/(2πh). h=10m deep

r=110/(2×3.14×10)

r= 1.75m

3)(iii)capacity of the vessel (in litres

The capacity of the vessel can be regarded as the volume which equals to πr^2h

From question 2 r=1.75m, and h=10m

Then

πr^2h= 3.142×(1.75)^2 ×10

=96.25m^2

Hence the capacity is 96.25m^2

|3x| = 9
Variable please.

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

Does anyone know how to solve this inequality algebraic-ally:

2x^2 - 5x - 3<= 0


Thank you :)

Answers

Answer:

-1/2 ≤ x ≤ 3

Step-by-step explanation:

hope that helps

Answer:

[-1/2,3]

Explanation:

Solve the Inequality by finding the roots and creating test intervals.

Note, the answer was provided in Intervals Notation form.

Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)

Answers

Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5

expand and simplify (2x+1)(3x+6)

Answers

Answer:

Step-by-step explanation:

6x^2 + 12x + 3x + 6

6x^2 + 15x + 6

Answer:

6x² + 15x + 6

Step-by-step explanation:

Use FOIL:

Multiply the first terms:

(2x)(3x) = 6x²

Multiply 2x and 6:

(2x)(6) = 12x

Multiply 1 and 3x:

(1)(3x) = 3x

Multiply 1 and 6:

(1)(6) = 6

Then, add these all together:

6x² + 12x + 3x + 6

Add like terms:

6x² + 15x + 6 is the simplified expression

find size of angle BAC

Answers

Answer:

i think the answer is 31°c

A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?

Answers

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

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Rita plans to make a call using a calling card. For each call, Rita has two options:


1. Pay $0.49, plus an additional $0.019 per minute.


2. Pay $0.059 per minute.


She predicts that her call will be minutes long. Which inequality represents the statement, "Rita would save money using the second option"?

Answers

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

How to determine the inequality that represents the statement?

From the question, we have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

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3/4x-5 = x

Please show working .

Answers

3-5=4x

-2=4x

Divide both sides by 4

-2/4=4x/4

X= -1/2

Which expression represents 7 times the sum of a number and 8?

Answers

Answer:

7(x+8) or 7x+56

Step-by-step explanation:

which of the following shows a proportional relationship

Answers

Answer:

h

Step-by-step explanation:

9514 1404 393

Answer:

  c)  H

Step-by-step explanation:

Consider the ratios of y to x:

  F: 4/2 ≠ 13/5

  G: 1/2 ≠ -2/5

  H: 10/2 = 25/5 = 30/6 = 50/10 . . . . a proportional relationship

  J: 3/2 ≠ 6/5

Table H shows a proportional relationship.

f(x)=3x+7, find f (3)=

Answers

Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.

A stack of D V D's is shown. They are marked seventy-five percent off.

What is the discounted price of a DVD?

Enter the correct answer in the box.

Answers

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

Need help.... please...

Answers

Answer:

The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -2,4,0

We can write them as

x=-2, x=4, x=0

or

x+2=0,x-4=0,x=0

Multiplying all terms:

[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]

So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

It wants me to make it long but the question there Multiply: 3 * 2 2/5

Answers

Answer:

Exact Form:

36 /5

Decimal Form:

7.2

Mixed Number Form:

7  1/5

Step-by-step explanation:

Need help ASAP !!!!!!

Answers

X^2+3x+12
3x^2-5x-2
X^2+4x+9

AB¯¯¯¯¯¯ is rotated 120° clockwise about B. Then AB¯¯¯¯¯¯ is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?

Answers

Answer:

D (r(45°, A) ⚬ r(–120°, B))(A)

Step-by-step explanation:

Well it's rotated 120° clockwise and clockwise is negative and the other is rotated 45° counterclockwise and anything counterclockwise is positive. Also I got it right on the test.

John has 30 friends. Then amount of male friends is 4 more than the number of female friends. Which system can be used to find the number of male and female friends?

Answers

Answer:

The required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Step-by-step explanation:

First of all, the variables have to be selected to represent the quantities.

Let m be the number of male friends and let f be the number of female friends.

Then according to first statement "John has 30 friends"

[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]

And according to second statement "amount of male friends is 4 more than the number of female friends."

[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]

Hence the required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

What is a function? Explain briefly

Answers

Answer:

in mathamatics...an algebraic function that can be defined as a root od a polynomial equation

Step-by-step explanation:

Answer:

A function is the difference between the input and the output in a given table. Here is an example:

Input | Output

  2     |     4

  4     |     6

  6     |     8

The function is add 2. Best of Luck!


I’ll mark u as brainlist if u get this right!!

Answers

Answer:

A

Step-by-step explanation:

When X is less than -1, positive parabola.  

I agree, (just to give a second opinion) It is A

Choose the statement that describes a way to solve the equation x – 23 = 18.


1. Subtract 23 from both sides of the equation.


2. Subtract 18 from both sides of the equation.


3. Divide both sides of the equation by 23.


4. Add 23 to both sides of the equation.

Answers

The correct answer is number 4

How do you work this out?????

Answers

Answer: 3 x 3 I think

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

base times height

you do 3x times x to find area

x(3x)

3x^2

SI 12 PIES DE UN POSTE DE 60 PIES ESTAN DEBAJO DE LA TIERRA ¿ QUE PORCENTAJE DEL POSTE ESTA POR ENCIMA DEL SUELO?

Answers

Answer:

20%

Step-by-step explanation:

primero, hagamos una fracción con los números que tenemos:

12/60 = x/100

cruzar multiplicar: 12 * 100 = 60 * x

multiplicar: 1200 = 60x

divide cada lado por 60: 20 = x

la respuesta es x = 20, o 20%

Espero que esto haya ayudado, marque Brainliest, ¡gracias!

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