Pierre's unicycle wheel has a diameter of 80 cm.
a) How far does the unicycle move if the
wheel turns once?
Give your answer in metres, correct
to 2 decimal places.
b) Pierre enters a 100 m unicycle race.
How many times must the wheel rotate
completely in order for Pierre to
travel 100 m?
Give your answer to the nearest
whole number.

Answer:

a₅₂ = - 212

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = a₂ - a₁ = - 12 - (- 8) = - 12 + 8 = - 4 , then

a₅₂ = - 8 + (51 × - 4) = - 8 - 204 = - 212

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Start by using the distributive property with 2(x+1) --> 2x+2

2. Your equation will be 2x + 5 = 3 + 2x + 2

3. Add the 3 and the two on the left side to be 5 + 2x

4. Your equation will be 2x + 5 = 5 + 2x

5. Now minus 2x from both sides so the 2x will cancel out

6. 5 = 5

Answer:

11 pounds

Step-by-step explanation:

16 ounces equal a pound so you need to do 176 / 16 = 11

Answer:

70 minutes

Step-by-step explanation:

420/6=70 mins

Answer: 70 minutes

Step-by-step explanation: simply do 420/6 to find out the number of minutes it will take.

You could also do this as a ratio of minutes to cartons 1:6 and find out how many times you must multiply 6 cartons to get to 420 cartons. That number is 70 so just multiply the 1 for the number of minutes because in ratios you must multiply by the same value for each number in the ratio.

Answer:god

Step-by-st

Answer:

One Solution

x= -7

Step-by-step explanation:

2 times 7x is 14x

2 times 13 is 26

3 times x is 3x

3 times 11 is 33

Now the equation looks like this:

14x+26-16x=3x+33-4x

Now Simplify:

-2x+26=-x+33

Add x on both sides and subtract 26 on both sides:

-x=7

Divide by -1 on both sides:

x=-7

So one solution and the one solution is -7

Hope this helps!

Answer:

The tree was 33.6 meters tall.

Step-by-step explanation:

So the question is "How tall is the tree?" I take it.

tree height/shadow length = ladder height / shadow length

Notice that the heights are both in the numerator. A proportion should always do this. It should have the same units on either the two denominators or the 2 numerators.

x / 42 = 2.4 / 3                  Multiply both sides by 42

x = 42 * 2.4 / 3

x = 100.8 / 3

x = 33.6

Answer:

33.6

Step-by-step explanation:

x/42 = 2.4/3

x = 2.4/3 x 42

x = 2.4/1 x 14

x = 33.6/1

x = 33.6

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Step-by-step explanation:

False

If the positive number is greater than the negative, then it will stay positive.

say the question is 5+ -3.

The answer would be 2

Answer:

False

Step-by-step explanation:

It depends on what sign the larger number is. For example, -5+9= 4 because they are opposite signs and 9 is the larger number of the two, therefore the answer is a positive 4.

Answer:

25

Step-by-step explanation:

[tex]5\sqrt{27x} = 75\sqrt{3}[/tex]

Squaring on both sides

25 * 27 x = 75 * 75 * 3

9 x = 3 * 75

x = 75 / 3

x = 25

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 4 ] , then

f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36

f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then

average rate of change = [tex]\frac{-36-(-6)}{4-(-1)}[/tex] = [tex]\frac{-36+6}{4+1}[/tex] = [tex]\frac{-30}{5}[/tex] = - 6

Step-by-step explanation:

new salary = 50000(1+(6/100))=50000×1.06= RS53000

Answer: [tex]y=-\frac{9}{17}x-\frac{2}{17}[/tex]

Answer:

30

Step-by-step explanation:

This is most accurate, the rest do not make sense, please mark brainliest!

Answer:

Independent variable (thing you change): Hours worked

Dependent variable (thing you measure): Amount paid

Answer: $45  

($30 + $15)

Answer:  $20.35

Step-by-step explanation: 16.75 * 0.15 = a 16.75 16.75 * 0.065 = b 16.75 + a + b

Answer: x = 4

Step-by-step explanation:

To solve this problem, make use of the fact that you may add anything to an equation, as long as you do it to both sides.

Simply add 4x to both sides to get:

13 = 1 + 3x

Then simply add -1 to both sides to get:

12 = 3x

Then, divide both sides by 3 to get:

4 = x

Hope it helps :) and let me know if you want me to elaborate.

Answer:

-2n-3

Step-by-step explanation:

-5 , -7 they go up in steps of -2

but it was -2n this would be how it would go

a) -2 -4 -6 -8

which you can see is -3 off each time

so -2n which is a)  

and then -3

= -2n-3

plz say thanks ! xxx

your answer would be 3/4 :)

Answer:

i was gonna say 15 .(3x+12)=15

Answer:

Sodas(s) + Hot Dogs (d) =117

d =2s

s+2s = 117

3s = 117

s= 117÷3

s= 39 sodas

Hot Dogs =2s = 2x39 = 78

Answer:With 3.5 persons per square kilometre, Canada is one of the countries with the lowest population densities in the world. Census metropolitan areas (CMAs) with the highest population densities—Toronto (866), Montréal (854), Vancouver (735), Kitchener (546), Hamilton (505), and Victoria (475)—were located close to United States border.

Step-by-step explanation:

I need to know the problem in the question. I would assume his break even point by 70$ less though.

Answer:

Sp = ₹250

Gain = ₹50

CP = SP - Gain

CP = ₹(250 - 50)

CP = ₹ 200

Gain = ₹50

Gain% = [tex]\frac{Gain}{CP}[/tex] × 100

= [tex]\frac{50}{200}[/tex] × 100

Gain% = 25%

Hope it will help you.

Triangle PQR is an isosceles triangle (b).

The sides PQ & QR are equal (8 cm each). If the opposite sides in a triangle are equal then it's an isosceles triangle.

_______

RainbowSalt2222 ☔

Answer: The answer is 3

Step-by-step explanation:

Answer:

x>8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               6*x-20-(3*(2-x)+6*x-2)>0

6x - 20) -  ((3 • (2 - x) +  6x) -  2)  > 0

3x - 24  =   3 • (x - 8)

3 • (x - 8)  > 0

   x > 8

Answer:

B

Step-by-step explanation:

4-(-2)= 4+2=6