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3 years ago

Please Help!!!

Mathematics

2 answers:

kondor19780726 [428]3 years ago

6 0

Answer:

c = - 4

Step-by-step explanation:

Nothing else matters except that the number associated with the y value in equation one = 1 and the number in front of x is known in equation 1. Then we'll get around to looking at c

Add 2y to both sides of equation 1 (the top equation)

3x - 2y + 2y = 3 + 2y

3x = 2y + 3

Now divide both sides of the equation by 2

3x/2 = y + 3/2

What's in front of x? It is (3/2)

So divide both sides of 6x + cy = 4 by c

6x/c + y = 4/c

Now put 6x/c on the right hand side so y is by itself.

y = -6x/c + 4/c

What do you have to do now?

You must equate -6x/c = 3/2x

Why?

The slopes have to be the same so the lines are parallel and never cross. That will give no solutions.

-6x/c = 3x / 2 Divide both sides by x

-6/c = 3/2 Cross multiply

3c = - 6 * 2 Combine

3c = - 12 Divide by 3

c = - 12/3

c = - 4

Lady bird [3.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

3x - 2y = 3

6x + cy = 4

So 6x - 4y = 6

If c = 4, then It has no solution

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The width of a rectangle is the length minus 7 units. The area of the

AleksandrR [38]

Answer:

8 units

Step-by-step explanation:

here's your solution

=> let the length of rectangle be X

=> then width = x - 7

=> area = 8units

=>> area = length*width

=> area = x (x-7) = 8

=> x^2 - 7 = 8

=> now, x^2 - 7x - 8 = 0

=> factories the above equation by middle term split

=> x^2 - 7x - 8

=> x^2 - 8x + x - 8

=> take the common

=> x(x - 8) + 1(x - 8)

=> (x + 1) (x - 8)

neglect (x + 1) because this will in negative for X

=> x - 8 = 0

=> x = 8

=>so, x = 8

=>length = 8 units

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3 years ago

A box contains four $1 and six $5 bills. if three bills are selected at random without replacement, find the probability that al

myrzilka [38]

Answer:

C.1/6

Step-by-step explanation:

Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;

(number of $5 bills) / (total number of bills)

= (6)/(4+6) = 3/5

If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (5)/(4+5) = 5/9

The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.

Now, the probability of picking a $5 bill in the third attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (4)/(4+4) = 1/2

Since the three attempts are independent, the probability of picking all three $5 bills is;

3/5 * 5/9 * 1/2 = 1/6

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What is the factored form of 27 - 530?

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Answer:

1,2,3

Step-by-step explanation:

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What is the decimal equivalent for 139%

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Step-by-step explanation:

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3 years ago

Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

-------------------------------------------------------------------------------------------------------------

Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

-------------------------------------------------------------------------------------------------------------

⇒ Solution~:

-------------------------------------------------------------------------------------------------------------

Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

-------------------------------------------------------------------------------------------------------------

Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

-------------------------------------------------------------------------------------------------------------

According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

-------------------------------------------------------------------------------------------------------------

xcookiex12

9/4/2022

#Learnwithxcookiex12

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2 years ago

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