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4 years ago

School A has 216 students and 12 classrooms. School B has 104 students and 4 classrooms.

1 answer:

8 0

<span>Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.</span>

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If a triangle has side lengths 5 cm, 18<br> cm, and 12 cm, is it a right triangle?

Dimas [21]

Answer:

No, it's not a right triangle.

Step-by-step explanation:

1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.

2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.

3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2

$5^2 + 12^2 = 18^2$
$25 + 144 = 324$
$169 \neq 324$

4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.

(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)

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3 years ago

Evaluate using P E M D A S 2 x 3 + 4

Juli2301 [7.4K]

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

hope it helps! :3

8 0

3 years ago

Read 2 more answers

Kim drives 156 miles from Rotherham to London.

masya89 [10]

No. See, you can take 60 out of 156 twice and you are left with 36. This means the drive would take about 2 hours and 36 minuets. 7+2=9 30+36=66 so then you add an our the time and you get that she would arrive a few minuets afterwards. (I'm sorry if I didn't explain this very well)

4 0

3 years ago

Read 2 more answers

Send answers I will check if correct

Vikentia [17]

Step-by-step explanation:

x = n of years of mary

x+8= n of years of her bro

So her brother is (x+8)/x times as old as Mary

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3 years ago

Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,.to find the following:

Rasek [7]

$a)\\\\
a_{n+1}-a_n=d\\
for\ n=1\\
a_2-a_1=d\\
d=3-1=2\ - difference\ between\ two\ consecutive\ terms\\\\
b)\\
a_n=a_1+(n-1)d\\
n=101\\
a_{101}=1+(101-1)*2\\
a_{101}=1+100*2=200+1=201\\\\
c)\\
Sn=\frac{a_1+a_n}{2}*n\\
n=20\\
a_n=a_{20}=1+(20-1)*2=1+38=39\\
Sn=\frac{1+39}{2}*20=400\ \ Sum\ of\ the\ first\ 20 \ numbers.$

6 0

3 years ago