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rusak2 [61]
3 years ago
14

Last week Michael spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Michael owns his bowling ball and shoes, so

he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
Mathematics
1 answer:
kramer3 years ago
7 0
It costs $4.50 per game.
You just divide 18 by 4. If you want to check your answer divide 27 by 6
You might be interested in
Factorization of:
zubka84 [21]

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

3 0
3 years ago
A long-distance runner started on a course at an average of 9 mph half an hour later a second runner begin the same course of an
Firdavs [7]

Answer:

2.25 hours

Step-by-step explanation:

3 0
4 years ago
explain how knowing that the sine of an angle is approximately 0.2588 enables you to find two possible values for the cosine of
MissTica

The required value is the angle theta and the value of the cosine of the angle is 0.9659

Given the expression of sine of an angle expressed as;

sin\theta = 0.2588

For us to get the cosine of the angle, we need to get the value of theta first as shown:

\theta = sin^{-1}0.2588\\\theta = 14.99^0

Next is to get the value of cos theta

cos \theta = cos 14.99 =0.9659

The required value is the angle theta and the value of the cosine of the angle is 0.9659

Learn more here: brainly.com/question/13729598

6 0
3 years ago
Help with this please
Alchen [17]

Answer:

1) A player who came to bat 318 times had 80 hits.

2) If the number of staff members is increased by 1, the wait time will decrease by 1.62 minutes.

Step-by-step explanation:

Question 1)

The scatter plot is constructed between the number of times a player comes to bat and the number of hits they had. The x-axis shows the number of times a player comes to bat and y-axis shows the number of hits they had.

We need to tell what the point (318, 80) represents in context of this problem. The first number of the ordered pair is the position along x-axis and the second point is the position along y-axis.

Therefore, 318 is the number of times a player comes to bat and 80 is the number of hits the player had.

So, the point (318, 80) shows that a player who came to bat 318 times had 80 hits.

Question 2)

The scatter plot is constructed between number of minutes people had to wait at a restaurant (along y-axis) and the number of staff available at that time (along x-axis).

The linear model that represents the data is:

y = - 1.62x  + 18

The slope of the line is - 1.62. Slope is defined as the rate of change i.e change in y variable w.r.t to change in x variable.

So, in this case the slope represents the change in wait time w.r.t  change in staff available.

Slope - 1.62 in this scenario tells us that:

If the number of staff members is increased by 1, the wait time will decrease by 1.62 minutes.

Yes, this is a realistic measure. Increasing the staff member will help in serving the customers quickly which in turn will decreasing the wait time for customers.

3 0
3 years ago
Joseph built a model of a pyramid where the base of the pyramid is a square. If the base has an area of 49 cm2 (squared), what i
vagabundo [1.1K]

Answer:

7 cm

Step-by-step explanation:

We are told that the pyramid has a square base of an area of 49 cm².

Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².

Area of a square = s², where s is the side length of the square.

The side length of the base can be gotten using the following equation,

s^2 = 49

Solve for s by looking for the share root of both sides.

\sqrt{s^2} = \sqrt{49}

s = 7

The side length of the base = 7 cm

8 0
3 years ago
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