You are working as an apprentice for the bksb Newcastle Arena. When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage’s concert?

Answer:

Option A is the correct choice.

Step-by-step explanation:

We have been given that Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50.

The inequality [tex]10+2.5x\leq 40[/tex] represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.

Let us solve for x by subtracting 10 from both sides of our inequality.

[tex]10-10+2.5x\leq 40-10[/tex]

[tex]2.5x\leq 30[/tex]  

Now we will divide both sides of our inequality by 2.5.

[tex]\frac{2.5x}{2.5}\leq \frac{30}{2.5}[/tex]

[tex]x\leq 12[/tex]

Therefore, Ling can buy from 0 to 12 bags, but no more and option A is the correct choice.

An oblique prism can be thought of as a leaning prism where the altitude or height of the prism is not the same as the lateral edge of the prims.

Answer: 10 bugs.

Step-by-step explanation:

Answer:

8 meters per second

Step-by-step explanation:

Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.

K= (v ^ 2) /2

Substituting K=32

32 = (v ^ 2) /2

Solving for v:

32x2= v ^ 2

64 =v ^ 2

√64 =v

8 =v

v= 8 meters per second

When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.

Feel free to ask for more if needed or if you did not understand something.

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?

Solution:

The graph is Time versus Speed.

In figure (a), the graph has a speed or y-axis=23mi/h for time or x-axis=5seconds.

The car maintains a speed of 23mi/h for 5 seconds.

For next 5 seconds, in figure a the graph increases linearly or we have a acceleration and reaches to 46mi/h.

It accelerates to a speed of 46 mi/h in 5 seconds.

It maintains that speed for the next 5 seconds. In figure (a), after we reach speed=46mi/h, there is a straight line for 5 seconds at speed=46mi/h.

So, Answer Graph a

To find out how many weeks have passed, we subtract the remaining amount from the initial amount, and then divide by the amount saved each week. In this case, 6 weeks have passed.

To find out how many weeks have passed, we need to subtract the remaining amount from the initial amount, and then divide by the amount saved each week.

Initial amount saved = $440

Amount saved each week = $55

Remaining amount = $110

Weeks passed = (Initial amount saved - Remaining amount) / Amount saved each week

= ($440 - $110) / $55

= $330 / $55

= 6 weeks

Therefore, 6 weeks have passed.

Final answer:

To find the price of one drink, we create a system of equations based on the purchases at the movie theater and solve it using the elimination method. The calculated price of one drink is $3.75, to the nearest cent.

Explanation:

David and Ryan's purchases at the movie theater can be represented by the following system of equations to find the price of one bag of popcorn (p) and one drink (d):

3p + 5d = 24.75

9p + 4d = 33.00

We'll solve this system using the substitution or elimination method. For this example, we will use the elimination method.

Multiply the first equation by 9 and the second by 3 to equalize the coefficients for p:

(3p + 5d) × 9 → 27p + 45d = 222.75

(9p + 4d) × 3 → 27p + 12d = 99.00

Subtract the second equation from the first:

27p + 45d - (27p + 12d) = 222.75 - 99.00

33d = 123.75

Divide by 33 to find the price of one drink:

d = 123.75 / 33

d = 3.75

So, the price of one drink is $3.75, to the nearest cent.

Jim is just as likely to get a head as Jane is to get an even number since the chance or probability of getting a head for Jim and getting a even number for Jane are equal i.e. 1/2=0.5

In a quarter there are just two outcomes-- Head and Tail

The probability of getting a head is: 1/2

Similarly in a number cube that has six possible outcomes i.e. {1,2,3,4,5,6}

The number of outcomes that represents a even number are: 3  

(Since outcomes are: 2,4 and 6)

Hence, the probability of getting a even number is: 3/6=1/2

Hence, we see that the probability of getting a head and a even number is same.

Option: A is the correct answer.

         A)     change  direction but remain parallel.

We know that when same rigid transformation is applied  to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.

In this Pythagorean theorem question, The value of pq in the right triangle is 8 cm. Therefore, the correct answer is option C.

The given triangle is a right triangle, with two sides measuring 17 cm and 15 cm. The side opposite the right angle (perpendicular) is represented by the variable pq.

To find the value of pq, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, applying the Pythagorean theorem:

a2 + b2 = c2

(15 cm)2 + pq2 = (17 cm)2

225 cm2 + pq2 = 289 cm2

pq2 = 289 cm2 - 225 cm2

pq2 = 64

pq = √64

pq = 8 cm

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

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Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.

Final answer:

To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.

Explanation:

To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.

Using the formula for the area of a parallelogram (base × height), we can now calculate the area.

Area = 10 inches × 7 inches = 70 square inches.

Thus, the area of the parallelogram is 70 square inches.

Answer:

16 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

p must be a whole number because $5 which is the cost of socks per pair is a perfect divisor of the expression 5p.

i.e 5p/5 = p

And in the expression p represent number of pairs

Answer:

Its 131, I did the test, and got it right.

Explanation: