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zalisa [80]
3 years ago
7

What is the solution to the following system

Mathematics
2 answers:
zzz [600]3 years ago
3 0

(4, -1, 3) \:  is  \: the \:  answer.
Neporo4naja [7]3 years ago
3 0

Answer:

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 -----(1)

x - y + z = 8 ------(2)

x + y - z = 0 -----(3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.

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The probability is 0.2 that a person shopping at a certain store will spend less than $20. For groups of size 17, find the mean
antiseptic1488 [7]

Steps:

1: p=0.2

2: n = 17

3: n*p= 17*0.2=3.4

Description:

The person will spend less than 20 or o.2 as seen in the question. Meaning p will equal 0.2. P for probability. Now n is for number. n will equal 17. And then we have to times all the number. N times P will equal 17 then times it by 0.2=  Answer will come as 3.4.

Answer: 3.4

The correct answer for this question is 3.4

Please mark brainliest

<em><u>Hope this helps.</u></em>

6 0
3 years ago
Please help me<br><br> Determine the value of base b if (152)b = 0x6A. Please show all steps.
egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

⇒0x6A=106(decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

5 0
3 years ago
S = 2d over t, solve for d
marishachu [46]

Answer:

<em>t</em>=2d/s

Step-by-step explanation:

Combining Expressions and isolating the variable <em>t</em>

8 0
2 years ago
The perimeter of quadrilateral JKLM is 90 centimeters. Which is the length of side Kl?
Margaret [11]
It would be 16.5. hope this helps

3 0
3 years ago
Read 2 more answers
A 6,000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout perform
RUDIKE [14]

Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

x + y = 6,000

             and

28x+40y = 193,200

Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:

I will do this by taking x + y = 6,000, and subtracting x to the other side, to get y alone:

y = 6,000 - x

Now lets plug in y to our second equation:

28x + 40(6,000-x) = 193,2000

=

28x+240,000-40x = 193,200

Now combining like terms and solving for x we get:

-12x + 240,000 = 193,200

=

-12x = -46,800

=

x=3,900

Now that we know x, lets solve for y by plugging into our first equation!

3,900 + y = 6,000

=

y = 2,100

So now we know that our answer is:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Hope this helps! :3

7 0
2 years ago
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