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miss Akunina [59]
3 years ago
12

Find the sum of the even integers between 31 and 41

Mathematics
1 answer:
REY [17]3 years ago
6 0
32+34+36+38+40=180
So the answer has to be..................
180
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18. A train travels at 110 miles per hour. At this rate, how far will the train
a_sh-v [17]

Answer:

I believe the answer would be 2,640

Step-by-step explanation:

By doing 110 (the mph) x 24 (total hours) it would be 2,640 miles in 24 hours

7 0
3 years ago
A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th
alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

\frac{\sum x+9}{n}=81\\\\\sum x+9=81n

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

\frac{\sum x-3}{n}=78\\\\\sum x-3=78n

So, from equation (1) and (2) we get:

81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4

Hence, there are 4 students in the group.

8 0
4 years ago
Hi. I need help with these questions.<br> See image for question.<br> Answer 16 and 17
Irina-Kira [14]

Step-by-step explanation:

16.................................................

<h3>Given</h3>
  • Equation ax² + bx + c = 0
  • One of the roots is twice the other
<h3>To find</h3>
  • Show that 2b² = 9ac
<h3>Solution</h3>

Let the roots be p and q

<u>The sum and product of the roots:</u>

  • p + q = -b/a
  • pq = c/a

<u>The sum of the roots, considering p = 2q,</u>

  • p + q = 2q + q = 3q

And

  • 3q = -b/a ⇒ q = -b/(3a)

<u>The product of the roots, considering p = 2q:</u>

  • pq = 2q(q) = 2q²

And

  • 2q² = c/a

<u>Substitute q with -b/(3a)</u>

  • 2(-b/(3a))² = c/a
  • 2b²/(9a²) = c/a
  • 2b² = 9a²(c/a)
  • 2b² = 9ac

=================================================

17. .................................................

<h3>Given</h3>

Quadratic equation

  • ax² = bx + c = 0, with equal roots
<h3>To find</h3>
  • Show that b² = 4ac
<h3>Solution</h3>

<u>Equal roots means the discriminant is zero:</u>

  • D = √b² - 4ac
  • √b² - 4ac = 0
  • b² - 4ac = 0
  • b² = 4ac
3 0
3 years ago
Which of the following shows the graph of y = 4x + 3?
juin [17]

Answer:

It's A

Step-by-step explanation:

took the test on edg :)

3 0
3 years ago
Read 2 more answers
A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a t
iogann1982 [59]

Answer:

c

Step-by-step explanation:

Because it is

8 0
3 years ago
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