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kykrilka [37]
3 years ago
12

Write the number which is a third of the way from -2 to -7?

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer: -5

Step-by-step explanation: -3 , -4 , -5 is the third

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Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9
tatiyna

Answer:

The solution to the system of equations is

\begin{gathered} x=\frac{179}{13} \\  \\ y=-\frac{279}{39} \\  \\ z=-\frac{48}{13} \end{gathered}

Explanation:

Giving the system of equations:

\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)

Subtracting (3) from 3 times (1), we have

3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

\begin{gathered} 13z=-48 \\  \\ z=-\frac{48}{13} \end{gathered}

Using the value of z obtained in (5), we have

\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\  \\ 3y+\frac{240}{13}=-3 \\  \\ 3y=-3-\frac{240}{13} \\  \\ 3y=-\frac{279}{13} \\  \\ y=-\frac{279}{39} \end{gathered}

Using the values obtained for y and z in (1), we have

\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\  \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\  \\ x-\frac{231}{13}=-4 \\  \\ x=-4+\frac{231}{13} \\  \\ x=\frac{179}{13} \end{gathered}

8 0
1 year ago
Are 4/16 and 0.25/2 equivalent numbers? If so, explain how they are.
Aleksandr-060686 [28]
Two fractions are equivalent if the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of the second and the denominator of the first.
                           4 x 2 ___ 16 x 0.25
                               8 is not equal to 4
Thus, they are not equivalent. 
3 0
3 years ago
Please help me I will give BRAINLIST and a like :))))
Vlada [557]

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

5 0
4 years ago
Read 2 more answers
PLEASE HELP!!<br> How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
PilotLPTM [1.2K]

Answer: No~Solutions

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : -4x-11=2(x-3x)+13

Equations that are never true:

1.1     ~~~~ Solve :    -24   =  0

This equation has no solution.

A non-zero constant never equals zero.

<u><em>Therefore your answer is </em></u>No~Solution

3 0
2 years ago
PLEASE HELP ME <br><br> I need help so please help me
Y_Kistochka [10]

Answer:

2/7

Step-by-step explanation:

This is because the slope is positive so that gets rid of both of the negatives, and the line is not straight but if the line was horizontally straight then your slope would be zero. So I just did process of elimination.

8 0
3 years ago
Read 2 more answers
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