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valina [46]
3 years ago
5

Please help pleaseeee

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

The awnser should be c

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there are 1176 students in central high school. there are 50 more girls than boys. how many boys are there.
bagirrra123 [75]
563 boys and 613 girls
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Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149​
GuDViN [60]

Answer:

1370

Step-by-step explanation:

<h3>Given</h3>
  • AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
  • Sum of first 20 terms
<h3>Solution</h3>

<u>First, let's get the value of the first term:</u>

  • aₙ = a + (n-1)d
  • a₂₂ = a + 21d
  • 149 = a + 21*7
  • a = 149 - 147
  • a= 2

<u>Next, let's find the sum of the first 20 terms</u>

  • Sₙ = 1/2n(2a+ (n-1)d)
  • S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370

<u>Answer is</u> 1370

6 0
3 years ago
Read 2 more answers
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
38.Randy and Amy left school at the same time and began walking in oppo-
RideAnS [48]

Answer:

DISTANCE=RATE*TIME. THEREFORE

X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN)

X=.6+.7

X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.

Step-by-step explanation:

7 0
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A textbook in the college bookstore had an original price of $185.50. Since then the inflation rate has been 4%. Find the curren
lbvjy [14]
So you want to multiply 185.5 by 1.04 to get the 4% inflation. if you do that then you get 192.92
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