At Open Skate Night, admission is $3.50 with a membership card and $6.00 without a membership card. Skate rentals are $2.00.

Aidan paid the admission for himself and two friends at Open Skate Night. Aidan had a membership card, but his friends did not. Aidan paid with a $20 bill. How much change should Aidan receive?

Answer:

Step-by-step explanation:

832/8 math problems division = 104. Therefore 104 to 2 decimal places= 104

832/8 divided by 2 » (832/8) ÷ 2 » 104 ÷ 2 = 52

Answer:

hmmmm (A) Write a system of linear inequalities to represent the situation.

that I guess ^~^

Answer:

it would be  C

Step-by-step explanation:

5(10%)+25%

Answer: options:

2(25%) + 3(10%)

3(25%) + 10%

5(10%) + 25%

4(10%) + 2(25%)

b.  the answer is 3(25%)+ 10%

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

[tex]\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1[/tex]

So probabaility for [tex]\mathrm{X}=1[/tex] is

[tex]P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679[/tex]

So expected frequency for [tex]X=1[/tex] is [tex]0.3679^{*} 30=11.037[/tex] (or [tex]\left.11.04\right)[/tex] .

Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Answer:

n ≥ 8

Step-by-step explanation:

Answer:

n ≥ 8

Step-by-step explanation:

Answer:

8.15m + 6

Step-by-step explanation:

To simplify, combine like terms. The only like terms here are the -2.15m and 10.3m because they both have a variable next to them.

Add the numbers together and leave the variable the same.

-2.15m+10.3m = 8.15m

Answer:

8.15m + 6

Step-by-step explanation:

-2.15m + 6 + 10.3m

combine like terms: -2.15 + 10.3 = 8.15

8.15m + 6

Answer:

[tex]j=10-3k[/tex]

[tex]y = 2x - 7[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex]\frac{3j + k}{2}=15-4k[/tex]

Required: Prove [tex]j=10-3k[/tex]

[tex]\frac{3j + k}{2}=15-4k[/tex]

Multiply through by 2

[tex]2 * \frac{3j + k}{2}=(15-4k) * 2[/tex]

[tex]3j + k = 30 - 8k[/tex]

Subtract k from both sides

[tex]3j = 30 - 9k[/tex]

Divide through by 3

[tex]j = \frac{30 - 9k}{3}[/tex]

j = 10 - 3k

Solving (b):

Given

[tex]5x - 2y = x+ 14[/tex]

Required

Prove: [tex]y = 2x - 7[/tex]

[tex]5x - 2y = x+ 14[/tex]

Subtract 5x from both sides

[tex]-2y = x - 5x + 14[/tex]

[tex]-2y = -4x + 14[/tex]

Divide through by -2

[tex]\frac{-2y}{-2} = \frac{-4x}{-2} + \frac{14}{-2}[/tex]

[tex]y = 2x - 7[/tex]

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

cos(α) = 24/25.

Step-by-step explanation:

First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:

[tex]\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]

Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:

[tex]BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]

Answer:

Step-by-step explanation: 3x5=7056 = x25 2016

Answer:

6785 dollars

Step-by-step explanation:

It cost 5980 dollars for a rectangular lot that is 110 ft by 150 ft. 110 + 150 = 260. 5980/260=23. 125 + 170= 295. 295 x 23= 6785.

Answer:

c

Step-by-step explanation:

Answer:

The 3rd graph

Step-by-step explanation:

Answer:

4.66028 miles

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

Answer:

-1.3

Hope this helps dont 4get to like and star

-mercury

Answer: 9.3

Hope this helps :)

Answer:

m = 3/2

b = 0

y = 3/2x

Step-by-step explanation:

M is the slope, which is the rise/run of a line.

Using this, we know m is 3/2.

B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.

We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)

Answer:

2

Step-by-step explanation:

Answer:

20 squares r there in the picture

Answer:

452.16 mm squared is a correct answer.

Sure!

;):);):):):):):):):)

Answer:

5(x+8)

Step-by-step explanation:

because 5×x=5x

5×8=40

altogether it is 5x+40.

was this helpful?

Answer:

who will answer??

Step-by-step explanation:

It will take Aaron 1.38 hours to travel 18 miles downstream as per time distance calculation.

"To work out speed, divide the distance of the journey by the time it took to travel, so speed = distance divided by time. To calculate time, divide distance by speed. To get the distance, multiply speed by time.

You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time."

Given, speed of Aaron's boat is 9 miles per hour.

Speed of the river is 4 miles per hour.

Therefore, speed of Aaron's boat downstream is

= (9 + 4) miles per hour = 13 miles per hour.

Therefore, in order to travel 18 miles downstream Aaron will need

= [tex]\frac{18}{13}[/tex] hours = 1.38 hours.

Learn more about time and distance calculation here: https://brainly.com/question/23774048

#SPJ2

Answer:

here, hope this helped. <33

Step-by-step explanation:

Answer:

if they are perpendicular

Answer:

Yes

Step-by-step explanation:

Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.

I hope this helps!

Answer:

B. 1/3

Because if you focus on one point of each image you have (0,3) and (0,9). Since (0,9) is the original picture we have to find how (0,3) is related to (0,9). So 3÷9= 1/3 and that's your answer (sorry for not explaining clearly)

Answer:

12

Step-by-step explanation:

No. of planters = 4 ÷ [tex]\frac{1}{3}[/tex]

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

4 ÷ [tex]\frac{1}{3}[/tex]  = 4 × [tex]\frac{3}{1}[/tex]

Directly multiply.

4 × [tex]\frac{3}{1}[/tex] = 12

Answer:

a

Step-by-step explanation: