Mathematics College

30. What is the solution to the system of equations?

3x + 3y - Z=1
Z=8
-X-3y + 2z = 13


A: (3, 0, 8)

B: (3, 0, -8)

C: (-3, 0,8)

D: (3, 2, 8)

Answers

Answer 1

Answer:

x = 3

y = 0

z = 8

Step-by-step explanation:

a) 3x + 3y - z = 1

b) z = 8

c) -x -3y + 2z = 13

a) 3x + 3y - 8 = 1 (substitution)

a) 3x + 3y = 9

c) - x - 3y + 2(8) = 13 (substitution)

c) -x - 3y + 16 = 13

c) -x - 3y = -3

(3x + 3y = 9) + (-x -3y = -3)

= 2x = 6

x = 3

a) 3(3) + 3y - 8 = 1

9 + 3y - 8 = 1

y = (1 -9 + 8)/3

y = 0

Related Questions

What is the terminal point of the vector a = (2,4) based at P = (3, 4)?

Answers

Answer:   (5, 8)

Explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

Solve the differentiable equation if possible:

Answers

Look at the photo for the first few steps. After that, follow the steps I’m typing…

D/dt [e^-t y] = te^-t

D/dt [e^-t y] dt = te^-t dt

E^-t y = te^-t dt

E^-t y = -te^-t - e^-t + C

Answer: y= -t -1 + C/e^-t

helppppppppppppppppppppppppppp
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is _____________ meters
and the total length of the carpet is _____________ meters.

Answers

Answer:

longer = 28 meters

Total = 40 meters

Step-by-step explanation:

Let the smaller piece be s,

and the longer piece be b

s = ¼b + 5

s = 12

¼b + 5 = 12

¼b = 7

b = 28 m

Total length = 28+12 = 40 meters

solve the literal equation a + 4b = 5b - 3a for a

Answers

Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

The table below shows the size of the graduating classes for to high schools.
​

Answers

I think It's B. I'm not really sure thought.

Answer:

2017

Step-by-step explanation:

Adams high school                                     Butler High school

628, 625, 622, 619, 616, 613,                      436, 449, 462, 475, 488, 501

common difference = 625 - 628 = -3         common difference = 449-436 = 13

we can continue series like this              

613 - 3 = 610                            [2011]             501 + 13 = 514

610 - 3 = 607                           [2012]            514 + 13 = 527

607 - 3 = 604                          [2013]             527 + 13 = 540

604 - 3 = 601                           [2014]             540 + 13 = 553

601 - 3 = 598                           [2015]             553  + 13 = 566

598 - 3 = 595                          [2016]             566 + 13 = 579

595 - 3 = 592                          [2017]              579 + 13 = 592

I assume when they will become equal

so it is 2017

a box contains 3 white balls and 4 black balls. a ball is drawn at random the color is recorded and then the ball is put back in the box. find the probability of the event that at least one of the balls is white

Answers

Answer:

3/7

Step-by-step explanation:

when is a number divisible by 6?

Answers

3 and 2 are divisible
3,2, and 1 are all divisible by 6

scientific form of 47500000000​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Scientific notation for above value is ~

[tex]4.75 \times 10 {}^{10} [/tex]

[tex]Hello[/tex] [tex]There![/tex]

First, let's make sure our coefficient is between 1 and 10:

4.75

All numbers in scientific notation look like this:

___x10^- (some number)

4.75x10^

Now, the number is large, so the exponent is positive.

So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:

4.75x10^10

Hope this helps!

~Just a felicitous girlie

#CarryOnLearning

[tex]SilentNature[/tex]

free 100 xp answer with fav movies pls for 100 free xp , 100 free xp always is given by algebros every day. Please do enjoy this plentiful amount of free xp I care about how you are feeling introduce yourself with telling me about your fav movie and why it is your fav. Enjoy! Please answer

Answers

Step-by-step explanation:

My favorite movie would have to be the Pirates of the Caribbean collection. Captain Jack sparrow aka Johnny Depp is is just great at his character.

Answer:

FREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XP

Step-by-step explanation:

Independent Task:
Directions:Write the digit in it's place.

1.) 0.34600
______tenths
______thousandths
______hundred thousandths
______hundredths

2.) 20.00642
_______thousandths
_______hundredths
_______hundredths thousandths



​

Answers

Answer:

1. tenths = 0.3

   thousandths = 0.346

   hundred thousandths = 0.34600

   hundredths = 0.35

2. thousandths = 20.006

    hundredths = 20.01

   hundred thousandths = 20.00642

Step-by-step explanation:

Hope it helps

Consider the inequality. Which value of x is a solution to the inequality?

Answers

Answer:

12-4

6+3

Step-by-step explanation:

4 time 3 equals 12

3 times 2 equals 6

If ΔPQR ≅ ΔTSR, what are the congruent corresponding parts?

Answers

Answer:

If ΔPQR ≅ ΔTSR

Angles:

P and T

Q and S

R and R

Lines:

PQ and TS

QR and SR

PR and TR

what is 7/9÷1/3 plz help thanks​

Answers

Answer:

[tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

Alrighty, when dividing fractions there is a trick called "keep, change, flip".

Step 1: Keep- Keep the first fraction the same

[tex]\frac{7}{9}[/tex]

Step 2: Change- Change the division sign to a multiplication sign

[tex]\frac{7}{9} *[/tex]

Step 3: Flip- Flip the second fraction (the reciprocal)

[tex]\frac{1}{3} --->\frac{3}{1}[/tex]              [tex]\frac{7}{9} * \frac{3}{1}[/tex]

Then, you multiply straight across

[tex]\frac{7}{9} * \frac{3}{1} = \frac{21}{9}[/tex]

Now, we simplify

[tex]\frac{21}{9} = \frac{7}{3} = 2\frac{1}{3}[/tex]

Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).

Answers

Step-by-step explanation:

(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me

Answer:

Step-by-step explanation:

this equals 0.03

Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size

Answers

Answer:

Straight angle 180 degrees

Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)

Answers

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

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

Total expectation =   $ .25

Juan ate 26 carrots. Carmen ate 3 times as many carrots as Juan ate.
Select the multiplication equation that represents this situation.

Group of answer choices:

25 x 3 = 75

3 x 28 = 84

3 x 26 = 78

26 x 13 = 338

Answers

Answer:

It is the third one

Step-by-step explanation:

Answer:

3 x 26 = 78

Step-by-step explanation:

It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.

The length of pop music songs is normally distributed with meze length of 215 seconds and a szard
deviation of 38 seconds. What percent of pop songs have lengths between three and four minutes?
(1) 48%
(3) 61%
(2) 57%
(4) 67%

Answers

58% of pop songs have lengths between three and four minutes

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score, \mu=mean,\sigma=standard \ deviation\\\\Given\ that:\\\\\mu=215,\sigma=38.\\\\For\ x=3\ min(180\ sec):\\\\z=\frac{180-215}{38}=-0.92\\\\For\ x=4\ min(240\ sec):\\\\z=\frac{240-215}{38}=0.71[/tex]

From the normal distribution table, P(180 < x < 240) = P(-0.92 < z < 0.71) = P(z < 0.71) - P(z < -0.92) = 0.7611 - 0.1788 = 0.5823 = 58%

Find out more at: https://brainly.com/question/15016913

5/6(-4 1/2)(-2 1/5) what is the answer

Answers

your answer is: 8.25

what is 2.4g-2.4g-9.8g

Answers

Answer:

2.4g-2.4g-9.8g "-9.8 grams".

Step-by-step explanation:

You just have to subtract the masses.

Hope this helps :)

Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )​

Answers

Answer:

A.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

sin 30°

Step 2: Solve

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

∴ our answer is A.

The P(A) = 0.4 and the P(B) = 0.32. What is P(A and B)? O a. 0.272 b. 0.128 O c.0.08 O d. 0.72​

Answers

Answer:

b

Step-by-step explanation:

the answer is no.b as P(A)*P(B)

what would reason 4 and 5 be??

Answers

Step-by-step explanation:

These 2 are given at the top:

∠DEG≅∠FGE

DE≅GF

Theres also this:

EG≅GE

because they are the same side.

I'm not sure what the dropdown options you get are, but this is how I would answer.

ΔDEG≅ΔFGE because of SAS congruency

DG≅EF because the triangles are congruent, and therefore all corresponding sides and angles are congruent

brainliest? :)

You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4

Answers

i would say 6 bc it’s a die of 6 and u get it 6 times

Which is the algebraic expression for "two times the sum of a number and four'?

*Someone save me.*​

Answers

Answer:

2(x+4)

Step-by-step explanation:

Can someone please help me I will mark u brilliant

Answers

Answer:

the correct answer is 7/20

please help! i don’t understand!

Answers

Answer:

£0.00 probably is the answer

Answer:

7158

Step-by-step explanation:

Help help help help help help

Answers

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away​

Answers

Answer:

m-4

Step-by-step explanation:

4 marbles taken away = -4 marbles

In 2021, Miranda records net earnings from self-employment of $158,500. She has no other gross income. Determine the amount of Miranda's self-employment tax and her for AGI income tax deduction.
In your computations round all amounts to two decimal places. Round your final answer to whole number

Answers

Answer:

We don't have the tax rate so I'll just explain how to do it

Step-by-step explanation:

158,500 multiplied by ( a unit of one subtracted (-) from the percentage of tax rate in decimal form ) is the total of money Miranda made after tax

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