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Umnica [9.8K]
2 years ago
9

The average of a set of 18 consecutive integers is 22.5. what is the smallest integer in the set?

Mathematics
1 answer:
quester [9]2 years ago
6 0
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14

Therefore, the smallest integer is 14.
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What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?
sergiy2304 [10]
(4,12) (20,36)
slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5

y intercept (0,6) b = 6
equation
y = 1.5x + 6

answer
b. y = 1.5x + 6
4 0
2 years ago
Which order pair is a solution to the system of linear equations -4+y=8 and x-5y=17?
andreev551 [17]

Hello!

To find this ordered pair, we solve for x and y and put them together in an ordered pair.

-4+y=8

x-5y=17

Let's solve the first equation for y.

y= 12

Now, let's plug 12 into the second equation for y.

x-5(12)=17

x-60=17

x=77

Therefore, our ordered pair is (77,12)

I hope this helps!

4 0
2 years ago
Read 2 more answers
sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two
Butoxors [25]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48</span>
7 0
2 years ago
Сумму чисел 165 и 633 уменьшили в несколько раз получили 266. Чему равно неизвестное число?
Whitepunk [10]

Answer:

3

Step-by-step explanation:

The sum of 165 and 633 will be

165+633=798

When the sum is reduced to 266, it means the sum is reduced by 798/266=3

The sum is reduced three times.

Therefore, as per the question, this sum was reduced three different times

4 0
2 years ago
True or False? A circle could be circumscribed about the quadrilateral below.
SVEN [57.7K]

Answer:

<em>The correct answer is:   False</em>

Step-by-step explanation:

<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.

Here,  \angle B+\angle D= 110\°+90\° = 180\°

but,  \angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

7 0
2 years ago
Read 2 more answers
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