Answer:
60 girls play sports
Step-by-step explanation:
#1- divide 105 by 7=15
#2- multiply 4 by 5= 60
therefore 60 of the 105 girls play sports
Answer:
8y+6y=288
Step-by-step explanation:
8y+6y= 12y
12y=288
12y divide by 12 = 288 divided by 12 =
y=24
Simply divide 80 by 5. 5 goes into 80 16 times, and each 5 = one minuet, so it would take 16 minuets to fill the pool with 80 gallons.
Answer:
El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.
Step-by-step explanation:
<h3><u>Answer:</u></h3>
- First term = 6
- Common difference= 4
<h3><u>Solution</u><u>:</u></h3>
Let's take the first term as <u>a</u> and the common difference be <u>d</u>
The formula to find the nth term of an arithmetic progression is given by :
<u>According to question, we have :</u>
- 16th term of an AP is three times the 5th term.
➝ a16 = 3 ( a5 )
➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )
➝ a + 15d = 3 ( a + 4d )
➝ a + 15d = 3a + 12d
➝ 15d - 12d = 3a - a
➝ 3d = 2a
➝ 2a = 3d
➝ <u>a = 3d/2</u><u></u>ㅤㅤㅤ⸻ ( 1 )
- And, the 12th term is 20 more the 7th term.
➝ a12 - ( a7 ) = 20
➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20
➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20
➝ a + 11d - ( a + 6d ) = 20
➝ a - a + 11d - 6d = 20
➝ 5d = 20
➝ d = 20/ 5
➝<u> d = 4</u>
- <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>
➝ a = 3d / 2
➝ a = ( 3 × 4 ) / 2
➝ a = 12 / 2
➝<u> a = 6</u>