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Mamont248 [21]
2 years ago
5

Determine whether each ordered pair is a solution to the inequality x+5y<2.

Mathematics
1 answer:
inna [77]2 years ago
6 0

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

<h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

  • x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

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andrew-mc [135]
Mean = sum of values / number of values
74 = x/32
2368 = x

70 = y/19
1330 = y

mean for female students = (2368 - 1330)/(32-19) = 79.85
5 0
3 years ago
Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50.
lina2011 [118]
The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>

Solution
Let x = registration fee
y = cost/downloads

Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50

Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95

for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
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3 0
4 years ago
A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal
Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

1.6 = 9.8t^2/2

t^2 = 2*1.6/9.8 = 0.327

t = \sqrt{0.327} = 0.571s

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0
3 years ago
What’s this guys ? I’ve been stuck on this ‍♀️
Harrizon [31]
SOLUTION:

Let's establish the formula for a cylinder as displayed below:

Let volume of cylinder = V

V = ( Pi )r^2h

Now let's substitute the values from the problem into the formula to find the volume.

V = ?

r = 8

h = 4

V = ( Pi )( 8 )^2( 4 )

V = ( Pi )( 64 )( 4 )

V = ( Pi )( 256 )

V = 256( Pi )

FINAL ANSWER:

Therefore, the answer is:

C. 256( Pi ) units^3

Hope this helps! :)
Have a lovely day! <3
3 0
3 years ago
Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.
sergiy2304 [10]
Hello :
if : a <span>≡ 5 ( mod 7) ....(1)
     b </span><span>≡ 6 ( mod 7) ...(2)
(1)×(2) : ab </span><span>≡ 30 ( mod 7)
</span>but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
6 0
3 years ago
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