# You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

110d=1620

Step-by-step explanation:

110d=1620

divide by 110 on each side

d=14.2727272727

so about 14 more diamonds need to be collected to move onto the next level

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1877m/min
Just multiple the Miles by the meters, then divide by 60

15=5k-13 whats the letter

k= 5.6

Step-by-step explanation:

2) On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t= d. How long will it take the airplane to travel 800 miles? Show your work 500

The equation for relation of time with distance travelled is,

Substitute 800 for d in the equation to determine the time required for travelling 800 miles.

So airplane take 1.6 hours to travell 800 miles.

What is 75 equal to?

A.) 7x 5
B. 5x5x5x5x5x5x5
C.7x7x7x7x7
D. 5 ‘7

C

Step-by-step explanation:

you are multiplying 7 by its self 5 times

75 does not equal any of the options provided in the question. The calculations for each option yield numbers that are either larger or smaller than 75.

### Explanation:

The number 75 can be best expressed as equal to 7x5 based on the options given in the question. Let's do a quick math check to confirm:

A) 7x5 = 35, which is not equal to 75.

B) 5x5x5x5x5x5x5 = 78125, which is much larger than 75.

C) 7x7x7x7x7 = 16807, which is also much larger than 75.

D) The last option 5 '7 does not make mathematical sense.

So, based on the calculations, none of the given options correctly express the number 75.

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Which of the following statements best describes adjacent angles

The statement that best describes adjacent angles is that adjacent angles share a side.

### What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

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The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the ground after 2.0 s. How high is the building, assuming negligible air resistance

Use one of the equations of motion under constant acceleration:-

s = ut + 0.5at^2   where s = distance, u - initial velocity, a = acceleration ( in this case it is gravity = 9.81 m s^-2)  and t = time.

here we have s = 25*2 + 0.5*9.81 * 2^2

Answer: The height of the building is 69.6 m

Explanation:

To calculate the height of the building, we use second equation of motion:

where,

s = height of the building = ?

u = initial velocity of the ball = 25 m/s

a = acceleration due to gravity =

t = time taken = 2.0 sec

Putting values in above equation, we get:

Hence, the height of the building is 69.6 m