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RSB [31]
3 years ago
11

At the not much fun amusement park, Otaka Shawa paid $25.75 for three game of mini-marbles-golf and two rides on the slow-go-kar

ts,while Soren Derkeister paid $35.75 for four games of mini-marbles-golf and three rides on the slow-go-karts. How much did each activity cost?
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
I’ll use m for marbles & g for go karts. I’m hoping someone has a prettier way to do this, and I can learn with you.

3m + 2g = 25.75
4m + 3g = 35.75

We’ll take the top equation and solve for g in terms of m.

2g = -3m + 25.75
g = (-3m + 25.75)/2

Then substitute that mess, um, expression, I to the second equation to solve for m.

4m + 3[(-3m + 25.75)/2] = 35.75
4m + (-9m + 77.25)/2 = 35.75
4m -4.5m + 38.625 = 35.75
-0.5m = -2.875
0.5m = 2.875
m = 5.75

Now we pick an equation, plug in the numerical value of m, and solve for a numerical value of g

3m + 2g = 25.75
3(5.75) + 2g = 25.75
17.25 + 2g = 25.75
2g = 8.50
g = 4.25

Checking the math:
4m + 3g = 35.75
4(5.75) + 3(4.25) = 23 + 12.75 = 35.75

Mini marbles golf cost $4.25, slow go karts cost $5.75.
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A study of parents of kindergarteners included 349 parents who were chosen at
miskamm [114]

Answer:

47% is the statistic and 31% is the parameter.

Step-by-step explanation:

A parameter is a quantity of a variable representing certain characteristic of a population.

A statistic is a quantity of a variable representing certain characteristic of a sample.

The sample of parents of kindergartners selected is, <em>n</em> = 345.

The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.

That is the population proportion is, <em>p</em> = 0.31.

This is the parameter value.

Of the 349 parents, 47% said they sent their children to pre-kindergarten.

That is the sample proportion is, \hat p = 0.47.

This is the statistic value.

Thus, the correct option is:

47% is the statistic and 31% is the parameter.

7 0
3 years ago
987÷z=164.5
AveGali [126]

Answer:

z=6

Step-by-step explanation:

987/z=164.5

multiply both sides by z

4 0
3 years ago
The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu
BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0
3 years ago
Find the length of the missing ride. ROUND YOUR ANSWER TO THE NEAREST TENTH
irakobra [83]

Using pythagorean theorem:

\begin{gathered} c^2=a^2+b^2 \\ b=\sqrt[]{c^2-a^2} \\ b=\sqrt[]{19^2-17^2} \\ b=\sqrt[]{72} \\ b\approx8.5 \end{gathered}

8 0
1 year ago
A crane lifts 50 Newtons 2 meters. How much work is done
Nikitich [7]

Answer:

100 Joules

Step-by-step explanation:

We use the definition of Work as the force applied multiplied by the distance the object was moved. In our case the force exerted is 50 N, over a distance of 2 meters, therefore:

Work = F * d = 50 N * 2 m = 100 N*m = 100 Joules

The SI unit for Newton times meter is called "Joule".

7 0
3 years ago
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