Solve the system.



6x - 2y + z = -2
2x + 3y – 3z = 11
х+ 6у = 31

Answer:

D. 55°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

40° + (y + 30)° + y° = 180°

Step 2: Solve for y

Answer:

A: [tex]5^2[/tex] times [tex]5^2[/tex]

C: [tex]\frac{1}{5^-^4}[/tex]

Step-by-step explanation:

A:

[tex]5^2[/tex] × [tex]5^2[/tex]

[tex]=5^2^+^2[/tex]

[tex]=5^4[/tex]

C:

[tex]\frac{1}{5^-^4}[/tex]

[tex]=5^4[/tex]

Answer:

solution for -4 + 3y = 23

3y = 23+4

3y = 27

y = 9

solution for X - y = -7

X = 1

y = 8

Answer: x = 2; y = 9

[tex]\left \{ {{-4+3y=23} \atop {x-y=-7}} \right.\\\\<=>\left \{ {{3y=27} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Answer:

x=34/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Graph is not a function, so B and D are false.

y = 0 is a horizontal line, not a vertical line, so C is false.

This leaves only A.

Answer:

-2/5

Step-by-step explanation:

hope this helps

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

Emmet will walk 1. 6 miles if he makes 4 trips to the park

From the information given, we have that;

It is important to note that proportion is the mathematical comparison of two numbers or elements

If 0. 4 miles is equivalent to 1 trip

Then x miles is equivalent to 4 trips

cross multiply

x = 0 . 4 × 4

Multiply through

x = 1. 6 miles

Thus, Emmet will walk 1. 6 miles if he makes 4 trips to the park

Learn more about proportion here:

https://brainly.com/question/18437927

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The number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

The probability that the three letters will be consonants = 0.114

In this question, we have been given a word 'oranges'

We need to find the number of ways in which the letters of orange can be arranged.

Also, we need to find the probability that these three letters will all be consonants.

The number of letters in the word oranges = 7

So, n = 7

We need combinations of 3 letters.

so, r = 3

The number of all possible combinations of 3 letters would be,

^7C_3 = 7! / (7 - 3)! (3!)

^7C_3 = 35

The number of combinations of 3 letters = 35

We can observe that the consonants in the word 'oranges' are:

r, n, g, s

The number of consonants = 4

The combinations of 3 consonants would be,

^4C_3 = 4! / (4 - 3)! 3!

^4C_3 = 4

The required probability would be,

p = ^4C_3  / ^7C_3

p = 4 / 35

p = 0.114

Therefore, the number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

the probability that the three letters will be consonants = 0.114

Learn more about the probability here:

https://brainly.com/question/3679442

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Answer:

a = 3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

v² = u² + 2as

v = 5

u = 2

s = 7

Step 2: Evaluate

Answer:

IQR= (16)−(10)=6

Thus, option 'C' is true.

Step-by-step explanation:

Given the data

8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20

The interquartile range is equal to the difference between the 75th and the 25th percentiles

The 25th percentile is 10

The 75th percentile is 16

Finally,

IQR= (16)−(10)=6

Thus, option 'C' is true.

Answer:

answer is a

Step-by-step explanation:

5(2)=10+2(7)=24

Answer:

I am not sure but i think B so two solutions

Answer:

A, C, and D

Step-by-step explanation:

Parent function of y = x will be all linear equations that have the x variable with the exponent equal to one.

Answer:

A, C, and D.

Step-by-step explanation:

the other answer is not correct because i pressed on this to help you because  my teacher actally just tought me that and so she just tought us (my class)

about this and she used this question for an example and she used that other answer and asked which ones where correct and i said A, C, And D.

and guess what? i got it correct! so trust me, you gotta do A, C, and D. i hope that helps you and please mark me brainlist have a nice day.

Answer:

The school where the donut and coffee day will take place.

The number of boxes of donuts the PTO bought.

The number of cups of coffee the PTO bought.

Answer:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Step-by-step explanation:

Hope this helped!

Answer:

Dude PDF is not a question

Step-by-step explanation:

3.

=45x-27

=9(5x-3)

4.

=6x+75x²

=3x(2+9x)

17.

22=16+x+3+14+57

5

110=90+x

110-90=x

x=20

Answer:

494.46 feet²

Step-by-step explanation:

So the area of one porch floor is

=l×w

=8.2×6.7 feet²

=54.94 feet²

So he paints 9 porch floors

So the exact total area of all the porch floors that Vaughn paints is

=54.94×9 feet²

=494.46 feet²

Answer:

y = -3, r = 25/4

Step-by-step explanation:

4r+5y = 10

-1 - 8 = 3y <--- This can be simplified to:

-9 = 3y

-3 = y

Now we plug -3 into y in the first equation

4r + 5y = 10

4r + 5(-3) = 10

4r - 15 = 10

4r = 25

r = 25/4

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Answer:

140 Presenrs

Step-by-step explanation:

If Santa delivers 420 presents in 15 hours and to get to 5 hours you need to divide 15 to 3, so what you do to one number you must do to the other, so therefore divide 420 by 3 to get 140 presents in 5 hours.

Answer:

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

[tex]I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\[/tex]

[tex]\Rightarrow I=0.3(6600-y) \\\\[/tex] [by using (i)]

[tex]\Rightarrow I=1980-0.3y \cdots(ii)[/tex]

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

[tex]C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)[/tex]

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

[tex](1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow  y = 1867.5/0.6225=3000[/tex]

From equations (i),

[tex]x=6600-3000=3600[/tex]

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Answer:

Line 3

Step-by-step explanation:

Proper solution step-by-step:

1. 3(x-2)=18

2. 3x - 6 = 18

3. 3x = 18 + 6

4. 3x = 24

5. x = 8