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Maslowich
3 years ago
11

School X and School Y play each other in a competition. School X has eight more points than School Y. School X has three times a

s many points as School Y How many points does each school have?
Mathematics
2 answers:
lozanna [386]3 years ago
6 0
School X has 24 points and School Y has 8 points Hope this helps
koban [17]3 years ago
4 0

Answer:

Let point's possessed by school A = x

and point possessed by School B = y

And the statement given Regarding the school are :

School X has eight more points than School Y. School X has three times as many points as School Y .

Writing these statements in terms of equation

1.   x = y + 8

2.  x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y - y = 8

2 y= 8

y = \frac{8}{2}=4

As , x= y + 8 gives x = 4 + 8 = 12

Point possessed by School A = 12 points

Points possessed by school B =  4 points




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A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
3h = (2p – 1) + h<br><br> Please someone help
Natalka [10]
Are you solving p or h
This is the answer for h h=p-1/2
This is the answer for p p=h+1/2
4 0
3 years ago
PLEASE HELP QUICK
KATRIN_1 [288]

1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%


2) The probability is 449 / 479 which is 0.937 = 93.7%


You may need to round the answers. It doesn't say if they need to be rounded or not.

8 0
3 years ago
Read 2 more answers
Least common denominator of x-5 and x-2
dem82 [27]

Answer: (x-5 ) (x-2)

Step-by-step explanation:

5 0
3 years ago
Describe how to find the least common multiple of three numbers
notka56 [123]
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only. 
Notice that 6 and 8 have a common factor 2, so pick up the 2;
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those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15

this is basically how it is done. I believe you can explain better in your own words. 

3 0
3 years ago
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