What is the circumference of this circle?

Answer:

The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons

Step-by-step explanation:

The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons

The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades

The number of lemons Jordan uses altogether, is given by the following relation;

1 pitcher of lemonade = 3 lemons

4 pitcher of lemonades = 4 × 3 lemons = 12 lemons

Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.

Answer:

5       6/10

Step-by-step explanation:

I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!

Answer:

The time that elapses before the players collide is 4.59 secs

Step-by-step explanation:

The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.

We can write that

S₁ + S₂ = 41 m

Where S₁ is the distance covered by Player 1 before collision

and S₂ is the distance covered by Player 2 before collision

From one of the equations of kinematics for linear motion,

[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]

Where [tex]S[/tex] is distance

[tex]u[/tex] is the initial velocity

[tex]a[/tex] is acceleration

and [tex]t[/tex] is time

Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision

That is, t₁ = t₂ = t

Where t₁ is the time spent by player 1

and t₂ is the time spent by player 2

For player 1

[tex]S[/tex] = S₁

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 2.2 m/s²

Then,

S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]

S₁ = [tex]1.1t^{2}[/tex]

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

For player 2

[tex]S[/tex] = S₂

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 1.7 m/s²

Then,

S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]

S₂ = [tex]0.85t^{2}[/tex]

[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]

Since the time spent by both players is equal, We can  write that

[tex]t^{2}[/tex] = [tex]t^{2}[/tex]

Then,

[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]

[tex]0.85S_{1} = 1.1S_{2}[/tex]

From, S₁ + S₂ = 41 m

S₂ = 41  - S₁

Then,

[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]

[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]

[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]

This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

[tex]t^{2} = \frac{23.13 }{1.1}[/tex]

[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]

Hence, the time that elapses before the players collide is 4.59 secs

Answer:

QR= 13

Step-by-step explanation:

the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:

25-12=13

hope that helps. can i have brainliest?

Answer:

It depends on whether P lies on QR or not.

If not, we can't find the exact answer for this question.

If P does, there are 2 cases:

Case 1: P is between Q and R

so QR = PQ + PR = 12 + 25 = 37

Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)

so QR = PR - PQ = 25 - 12 = 13

Hi

2(3x-1) = 9(x-2)-7

6x-2 = 9x-18-7

6x-9x = 2-18-7

  -3x = -23

      x =  23/3

Answer:

6

Step-by-step explanation:

thirteen minus seven equals six

Answer:

6

Step-by-step explanation:

13 minus 7 equals 6

hope this helped you

Answer:

22 Australian dollars are 16.12 USD

Answer:

$1.25 to park a car and $3.50 to park a truck

Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

3c + 2t = 10.75

7c + t = 12.25

Solve by elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

-14c - 2t = -24.5

Add them together and solve for c:

-11c = -13.75

c = 1.25

Then, plug in 1.25 as c in the equation to solve for t:

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7

t = 3.5

So, it costs $1.25 to park a car and it costs $3.50 to park a truck

Answer:

1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Switch x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

(x-1)/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:

[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+1[/tex]

Put f(x) = y

[tex]y = 2x + 1[/tex]

Interchange x and y

[tex]x = 2y+1[/tex]

Solve for y

[tex]x = 2y+1[/tex]

Subtracting 1 to both sides

[tex]x-1 = 2y[/tex]

Dividing both sides by 2

[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]

Put y = h(x)

[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

I'll give you the answers but make sure you know how to do these.

1) -32

2) -11

3) 77

4) -23

5) -1.3

6) -19.32

7) -10.4

8) 1.408

9) -1/4

10) 9/5

11) -1/6

12) -2 2/3

Hope this helps

Answer:

6

Step-by-step explanation:

Step 1:

12 - 4 = x + 2

Step 2:

8 = x + 2

Step 3:

8 - 2 = x

Answer:

x = 6

Hope This Helps :)

Answer:

1,012 ; 1,001

Step-by-step explanation:

Given the population function :

P(t) = 1000+(12e^−0.34t)

where t is the number of years from the time the species was added to the lake.

Initial population size of the species ; that is the population at year 0

At time, t = 0

P(0) = 1000+(12e^−0.34(0))

= 1000 + (12e^0)

= 1000 + 12(1)

= 1012

Initial population = 1,012

Population after 9 years :

P(9) = 1000+(12e^−0.34(9))

= 1000 + (12e^-3. 06)

= 1000 + (12×0.0468876)

= 1000 + ( 0.5626523)

= 1000.5626

= 1001 ( nearest whole number)

Answer:

=15a−8

Step-by-step explanation:

Let's simplify step-by-step.

4(2a−1)−4+7a

Distribute:

=(4)(2a)+(4)(−1)+−4+7a

=8a+−4+−4+7a

Combine Like Terms:

=8a+−4+−4+7a

=(8a+7a)+(−4+−4)

=15a+−8

Answer:

=15a−8

hope i helped

-lvr

Answer:

7 necklaces

Step-by-step explanation:

108/15=7.2, to make a whole last necklace you round it to just 7

Answer:

7

Step-by-step explanation:

9x12= 108. 108 ÷ 15 = 7.2, which I rounded to 7.

Answer:

the last answer number 3

Answer:

C = -D - B

Step-by-step explanation:

Step 1: Write out equation

B + C = -D

Step 2: Subtract B on both sides

C = -D - B

Answer:

15+3=18 years

Step-by-step explanation:

Since the black bear lives 3 years longer than the zebra, all it really means is 3 additonial year so you add 3 on to the 15.

Answer:

The median number of shirts sold is 29

Step-by-step explanation:

Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.

27+31=58

58÷2=29

Answer:29

Step-by-step explanation:

First find the two middle numbers in this case 27 and 31 add them together and divide by 2

Answer: Corresponding Angles

Step-by-step explanation:

When two lines are crossed by another line (The Transversal), the angles in matching corners are called Corresponding Angles.

o is the value of m i think

Answer:

rational

Step-by-step explanation:

Answer:

Sean because zero added to anything is the same answer.

Step-by-step explanation:

Answer:

a)2/5

b)3/5

C) 1

Step-by-step explanation:

a-8/20=2/5

b-12/20-3/5

c-12+8=20/20=1

i am not that sure about c

hope this help

Answer:

the consumer price index measures changes in the price level of a (weighted) average market basket of consumer goods and services.

Answer:

-69

Step-by-step explanation:

Use rise over run (change in y/change in x)

The change in y is -345, since that is how much the price decreased

The change in x is 5 years

-345/5

= -69

So, the average rate of change in price per year is -69

Answer:

11.61

Step-by-step explanation:

It has to be between 11 and 12 and closer to twelve

Answer:

A

Step-by-step explanation:

b^2 = 400

b = 20.............