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alexandr1967 [171]
3 years ago
10

3. 11x-7y=-14. X-2y=-4

Mathematics
2 answers:
pshichka [43]3 years ago
4 0
11x -7y= -14 (1)
x -2y= -4 (2)

Multiply (2) by 11, we have:
11x -22y= -44 (3)

Take (1)-(3), we have:
(11x-11x)+ (-7y-(-22y))= -14-(-44)
⇒ -7y+22y= -14+44
⇒ 15y= 30
⇒ y= 30/15
⇒ y= 2

x= -4+ 2y= -4+ 2*2= 0

The final answer is x=0, y=2~
Kisachek [45]3 years ago
4 0
The two given equations are
11x - 7y = - 14
x - 2y = -4
Now let us take the second equation for finding the value of x first
x - 2y = -4
x = 2y - 4
Now we have to put the value of x in the first equation
11x - 7y = - 14
11(2y - 4) - 7y = -14
22y - 44 - 7y = -14
15y = 44 - 14
15y = 30
y = 30/15
   = 2
Now let us put the value of y in the second equation
x - 2y = -4
x - 2(2) = -4
x - 4 = -4
x = -4 + 4
  = 0
So the value of x is 0 and the value of y is 2.

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A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
There are 30 teams in the National Basketball Association: 15 in the West- ern Conference, and 15 in the Eastern Conference. (a)
Nana76 [90]

Answer:

A

Step-by-step explanation:

in order to be able to get the chance of winning

6 0
3 years ago
9. A box contains 50 discs which are numbered 1 to 50. If one disc is drawn at random from the box. Find the probability that it
kotegsom [21]

The probability that it bears a 2 digit no. is 41/50; a perfect square no is; 3/25; a no. divisible by 5​ is; 0.2

<h3>How to find the probability?</h3>

We are given;

Number of Discs in box = 50

Type of discs in box = Numbered 1 to 50

i) Number of 2 digit numbers = 41

Thus;

P(2 digit numbers) = 41/50

ii) Perfect square numbers are; 4, 9, 16, 25, 36 and 49. Thus;

P(perfect square number) = 6/50 = 3/25

iii) Numbers divisible by 5 are; 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

Thus;

P(numbers divisible by 5) = 10/50 = 0.2

Read more about Probability at; brainly.com/question/24756209

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4 0
2 years ago
"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
d1i1m1o1n [39]

Answer: -3x + 17 < 29

product means multiply, so we multiply -3 and x as seen in the answer.

the less than sign is <. to remember it: less than starts with L and the sign < looks like an L

4 0
3 years ago
What is the result when the number 10 is increased by 3%?
Monica [59]
So if we are increasing a number, we are increasing its percentage value. The normal percentage value for an item is 100% or 1. We can take 3% and turn it into a decimal.
3% is the same as 0.03 as a decimal. The next step is to add 0.03+1 .00 to get 1.03. We have to always add the 1.00 whenever we are increasing the value. I’ll give you a reason why, let’s say you want to buy a skateboard and there are no sales so that you can get it for cheaper. The price will always be 1.00% no matter what.
So lastly we have to multiply 1.03 by 10

Which will give us 10.30

Please give me brainliest or give me a heart. Contact me on Instagram if you need more help.
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6 0
3 years ago
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