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Citrus2011 [14]
3 years ago
14

Ryan played in 3 basketball games. He scored 18 points in the first game and 12 points in the second game. If he scored 42 point

s in all games combined, how many points did he score in the third game?
Mathematics
2 answers:
stealth61 [152]3 years ago
7 0
The correct answer for this very hard equation would happen to be 12 because 18+12 happens to equal 30 and 42-30 just so happens to equal 12
just olya [345]3 years ago
3 0

12points

Step-by-step explanation:

Let x be the number of points in the third game

His total number of points is 42

That is

18+12+x=42

30+x=42

x=42-30

x=12

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2 years ago
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A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
snow_tiger [21]

Answer:

12800 + 100x \le 24000

A maximum of 112 number of 100 - kilograms can be loaded in the container.

Step-by-step explanation:

Given that:

Weight of each crate = 100 kg

The greatest weight that can be loaded in the container = 24000 kg

Weight already loaded in the container = 12800 kg

To find:

The inequality to determine the value x i.e. number of 100 - kilograms that can be loaded in the shipping container?

Solution:

Weight already loaded = 12800 kg

Let the number of 100 - kilograms that can be loaded in the container = x

Weight of x = 100x kg

This combined weight nor be greater than the capacity of the container.

OR we can say, it must be lesser than or equal to greatest weight that can be loaded into the container.

12800 + 100x \le 24000

100x \le 24000 - 12800\\\Rightarrow 100x \le 11200\\\Rightarrow x \le 112

i.e. a maximum of <em>112</em> number of 100 - kilograms can be loaded in the container.

5 0
2 years ago
Determine and describe the ​number​ and ​type​ of roots of the quadratic functions. Show any and all work necessary to determine
algol13

Answer:

See explanations below

Step-by-step explanation:

The root of a quadratic equation is determined by its discriminant

D = b²-4ac

If D > 0, the roots are real and unique

If D < 0, the roots are complex

If D= 0, the roots are real and equal

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From the equation, a = 3,  b = 7 and c = 8

Get the discriminant

D = 7²-4(3)(8)

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D = -47

Since the discriminant value is less than 0, hence the roots are complex roots

b) For the quadratic equation

y=2x^2-7x-2

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 2,  b = -3 and c = -2

Get the discriminant

D = (-3)²-4(2)(-2)

D = 9 + 16

D = 25

Since the discriminant value is greater than 0, hence the roots are real and unique.

c) For the quadratic equation

y=9x^2+30x+25

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 9,  b = 30 and c = 25

Get the discriminant

D = 30²-4(9)(25)

D = 900 - 900

D = 0

Since the discriminant value is equal to 0, hence the roots are complex real and equal

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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