Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap? Is any one else as confused as I am?

Answers

Answer 1
it’s just the difference in circumferences, so it’d be
S = 2 Pi r
S = 2 * 3.14 * 30
S = 188.4m

I = 2 Pi r
I = 2 * 3.14 * (30 + 2)
I = 200.96m

I - S = 200.96 - 188.4
= 12.56m

Therefore, Isadora had to ride 12.56m more than Sophie

Related Questions

what is 22.680 rounded

Answers

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

This is actually really confusing please help me out.

Answers

Answer:

a ball bouncing off a wall

Step-by-step explanation:

Think of it like how if you would flash a flashlight at a mirror it would reflect off of it right? And it would go the opposite way. So it’s like a ball that u throw at a wall because a ball would bounce off the fall going opposite. I hope that makes sense. ^^

PLEASE HELP ME!!!! HOMEWORK DUE IN 30 MIN!!!!!!

Answers

Answer:

b is 10.5 c is 11

Step-by-step explanation:

9+1.5

10.5

3(5)-4

15-4

11

help me please, thx​

Answers

90 degrees clockwise

Answer:

C.

F.

   Please mark brainliest hit the crown thanks :)

Please help me!!!! I will mark as brainlist!!

Answers

Answer:

117 i think

Step-by-step explanation:

because you need to find the distance from a to b which is 13 units

then you need to find the distance from b to c which is 9 units

and then 9 x 13 is 117

Will give BRAINLIEST if right!
How do I Write the vertex as an ordered pair for f(x) = x^2 + 2x - 3

Answers

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

8

(These are the numbers in order)

By substituting we get

x

=

(

2

)

2

1

, which simplifies to

x

=

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

1

)

2

+

2

(

1

)

8

y

=

1

2

8

y

=

9

Putting the two numbers together you get the coordinates

(

1

,

9

)

.

Please help!!!!
Compare the slopes of the linear functions f(x) and g(x) and choose the best answer that best describes them.

Answer choices:
A- The slope of f(x) is greater than the slope of g(x)
B- The slope of f(x) is less than the slope of g(x)
C- The slope of f(x) is equal to the slope of g(x)
D- The slope of g(x) is undefined

Answers

B because the slope is greater than g(x) I think so though

Answer:

The answer is C. The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

Did the test

can someone help me please, its geometry

Answers

Answer:

2n

Step-by-step explanation:

Pythagoras [tex]a^{2} + b^{2} = c^{2}[/tex]

2 squared plus 2 squared = 8 but you need to find out the root of 8,

square root of 8 is a surd, so answer in that

Answer:

4n

Step-by-step explanation:

a^2+b^2=c^2

2n^2+2n^2=c^2

4n^2=c^2

sqrt 4n^2=sqrt c^2

4n=c

find the root of 5x-2=0
x=?​

Answers

Answer: 4

Step-by-step explanation:

If you multiply 5x-2 you will get -10

Do all the steps and you get 4

Therefore your answer is 4.

The answer is X=4

Add 20 to both sides cancelling out the left side then you divide 5 leaving the X on one side and 20 over 5 which is 4

please HELP ASAP
What is the missing side, x?

Answers

Answer:

76

Step-by-step explanation:

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Answers

Answer:

Step-by-step explanation:

7x + 14 = 8.4x

14 = 1.4x

x = 10 hours

Each works 10 hours. Their total is 84 dollars each.

The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50

Answers

Answer:

ANSWERS ARE B, C, AND D.

Step-by-step explanation:

I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.

ANSWERS ARE B, C, AND D.

Answer:

The answer is B,C, And D

Step-by-step explanation:

I just saw it on Khan and got it right.

Find the slope between the two points

Answers

Answer:

B. -2/7

Step-by-step explanation:

Rise over run. The graph also goes down so it is negative.

Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS​

Answers

Answer:6yb+14x+1 is it Simplify ok

Step-by-step explanation:

Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo

Answers

Answer:

The answer is 5^-4.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

[tex]\frac{1}{5^{4}}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}},[/tex]   if n >m

[tex]\frac{5^{3}}{5^{7}} = \frac{1}{5^{7-3}}=\frac{1}{5^{4}}[/tex]

At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?

Answers

Answer:

3 medium and 2 large pizzas.

Step-by-step explanation:

70= 2.5+(12.50x+15y)

70-2.5=67.5

Possibilities

67.5=12.5(1)+15(4) FALSE(72.5)

67.5=12.5(4)+15(1) FALSE (65)

67.5=12.5(2)+15(3)FALSE(52.5)

67.5=12.5(3)+15(2)

TRUE (67.5)

What is the missing step in this proof?
(image attached below)

Answers

C is the missing reason in this proof.
The missing proof is c

2(15+6y)+5y=9 someone help me

Answers

Answer:

y=-21/17

Step-by-step explanation:

Answer:

y= - 21/17

Step-by-step explanation:

Rearrange terms:

2(15+6y) +5y =9

2(6y+15)+5y=9

Distribute:

2(6y +15) +5y=9

12y+30 + 5y = 9

Combine like terms:

12y+30+5y =9

17y+30 =9

Subtract 30 from both sides:

17y+30 =9

17y +30 -30 =9-30

Simplify:

17y=-21

Answer:

y=-21/17


The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1

Answers

Answer:

881 (-6x)

Step-by-step explanation:

881 (-6x) i think that the answer

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?

A) 64
B) 128
C) 8
D) 4

Answers

Answer:

the anser is 64 cups

Step-by-step explanation:

half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64

pls mark brainliest

Answer:

A. 64 cups

Step-by-step explanation:

There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.

If this helped you, which I hope it did, please click the thanks button below.

Thank you! :-D

solve for x if 2(5x + 2)^2 = 48

Answers

Answer:

(c) is the Correct answer of this

Step-by-step explanation:

First divide both sides by 2

then apply (a+b)^2 = a^2+b^2+2ab formula

solve quadratic equation

then apply discriminant formula

Hope you get it dear ☺️

C is correct I’ve done this one before

An earthworm times 2 cm into the ground each day the earth worm tunnels at about the same place every day how many days will it take the earthworm to tunnel 14 cm

Answers

Answer:

7 days

Step-by-step explanation:

Given that:

Distance tunneled into the ground each day = 2cm

The rate is the same everyday ;

Hence, to. Tunnel 14cm into the ground , it will take the earthworm;

1 day = 2cm

x days = 14cm

Cross multiply :

2x = 14

x = 14 /2

x = 7

Hence, it will take 7 days for the earthworm to tunnel 14cm

1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )

Answers

Answer:

1) -9.3465 × 10^8

2) 1.6214 × 10^-1

3) 1.33 × 10^-11

Explanation:

When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.

First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.

For example, to solve the first expression (problem one):

7.35 x 10^6 – 9.42 x 10^8

Divide 10^8 by 10^6 to get 10^2

So

it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.

7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.

Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.

Anyway for the second expression (problem 2)

Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.

So 3.14 × 10^-3 + 1.59 × 10^-1

The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2

So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.

anyone know how to do this?

Answers

The correct answer is option b or y=2x-3:)

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
Help please!!!! thank you sm!!

Answers

Answer:

64 cups

Step-by-step explanation:

64 cups! A half gallon equals 8 cups. 8 cups x 8 half gallons = 64 :)

a fruit Shop sells dried fruit by the pound the cost for X pounds of raisins is represented by the equation y= 3.5x, where y is the total cost for X pounds. the cost for 4 pounds of dried cranberries is $18 Graph both proportional relationship on the grid to the right which fruit has the lower unit price? Explain.

Answers

y=4.5x the equation for cranberries

Step-by-step explanation:

So the easiest way to solve this would be take the $18 and divide it by the 4 pounds you then get the unit price per pound which is $4.5 a pound

Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2

Answers

Answer:

D. About 2700 in^2

Step-by-step explanation:

The area of a circle A = πd²/4 where d = diameter of circle.

A/d² = π/4 = k the proportionality constant.

So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.

So, we have

A₁/d₁² = A₂/d₂²

A₂ = A₁d₂²/d₁²

A₂ = A₁(d₂/d₁)²

substituting the values of the variables, we have

A₂ = 300 in²(60 in/20 in)²

A₂ = 300 in²(3)²

A₂ = 300 in²(9)

A₂ = 2700 in²

So, the area of circle B is about 2700 in²

Please help me with my work

Answers

Answer:

top left is "same" top right is "parallel"

Will give brainliest!

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
Complete the inverse function for the function given below.
(1) = 21 - 4
() =
T +

Answers

Answer:

[tex]f^{-1}(x) = x/2 +2[/tex]

Step-by-step explanation:

let [tex]f^{-1} (x)[/tex] = y

then f(y) = x

2y-4 =x

2y =x+4

y= x/2 +2

hence f^{-1} (x) = x/2 +2

Find the sum of the prime numbers less than 21

Answers

Answer:

1;3;5;7;11;13;17;19 add all the number

Answer:

Step-by-step explanation:

Prime numbers less than 21 are

2, 3,5,7,11,13,17,19

Sum= 79

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