Mathematics College

I need help in learning how to solve this equation using substitution:

-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

Answers

Answer 1

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

Related Questions

Solve the inequality x2−3x−18≥0

Answers

I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥[tex]\frac{18}{(2-3)}[/tex]

I hope this helped but i've done this in the way my tutor taught me :)

Find cos 30 in terms of cos 0

Answers

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

HELPPPPPPPPPPPPPPPppppppppppppp

Answers

The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7

Answers are: A, B, C and E

Solve x/2- 8 = y for x. A. x= 1/2y

Answers

Answer:

x = 2y + 16

Step-by-step explanation:

Given equation:

x/2 - 8 = y

Solve for x:

x/2 = y + 8     ⇒ add 8 to both sidesx = 2y + 16     ⇒ multiple both sides by 2
>> Answer :

____________

[tex] \: [/tex]

[tex] \frac{x}{2 - 8} = y[/tex]

[tex] \frac{x}{2} = y + 8[/tex]

[tex]x = \bold{2y + 16}[/tex]


a) Find the ratio of the number of boys to the number of girls in a class if the number of boys is
115 and that of girls is 46.​

Answers

Answer:

5/7

Step-by-step explanation:

First calculate the total number of students:

Girls + boys

= 46 + 115

= 161

Then divide the number of boys over all students

= 115/161

= 5/7

PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!

Answers

this ain’t hard dw I’ll give you the answers :)

Here ya go :)

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there

Answers

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

Additional comment

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.

does anyone know this???

Answers

Answer: y=5x-7

I hope this helps I would appreciate brainliest if possible :)

i tried to answer earlier but someone else was typing, but the answer is y = 5x - 7.

A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil. What would be a reasonable amount to pay for 10 gallons of gasoline and 2
quarts of oil?
O $20
O $23
O $25
O $27

Answers

multiply 2.29 times 10 and 1.89 times 2
2.29 x 10 = 22.9
1.89 x 2 = 3.78
22.9 + 3.78 = 26.68
26.68 can rounded up to 27
so the correct answer would be d

The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Now,

Since, A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Hence, We get;

The cost of 10 gallons of gasoline = 10 × $2.29

                                                    = $22.9

And, The cost of 2 quarts of oil = 2 × $1.89

                                                = $3.78

So, The total cost = $3.78 + $22.9

                           = $26.68

                           ≈ $27

Thus, The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ2

You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.​

Answers

Answer:

70

Step-by-step explanation:

Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).

When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:

⇒ Vertex D(-2, 2) becomes D'(-2, -2),

⇒ Vertex E(1, 5) becomes E'(-5, 1),

⇒ Vertex F(4, -1) becomes F'(1, 4),

This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.

Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).

Learn more about Rotation here

https://brainly.com/question/28832360

#SPJ3

What’s the greatest common factor of (280, 168)

Answers

Answer:

Greatest common factor of 280 and 168 is 56

-NULL

Brainliest will be appreciated thank you!

A right triangle is shown below.
45°
3 units
What is the tan of x?

Answers

Answer:

Tan x = 1

Step-by-step explanation:

As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.

If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg

Tangent x = Opposite/Adjacent = 3/3 = 1

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Where's The Answer Im Sorry I Didn't See Anything....m

Pleaw hurry i nedd the answer

Answers

Number 4 is correct you can check it

2. Identify the like terms in the expression -6 - 3x2 + 3x - 4x + 9x2.

Answers

Answer:

3x^2 and 9x^2, 3x and 4x

Step-by-step explanation:

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.90 and hour. The math club wants to spend less than $123.10 on renting the meeting room. What are the possible amounts of time that they could rent the meeting room? use t for the number of hours the meeting room is rented

Answers

Answer:

9 hours

Step-by-step explanation:

Firstly,

Minus $123.10 with $34

123.10-34

= 89.10

(bcuz $34 is the reservation fee)

Secondly,

Divide $89.10 with $9.90 to determine the hours

t = 89.10/9.90

= 9

Last answer = 9 hours

need an answer, please need an answer, please.​

Answers

Answer:

Step-by-step explanation:

1) c

x² = 1

x² - 1 = 0

Degree of quadratic equation should be 2.

2) 'a'- coefficient of x² cannot be 0

option a

3) option c

Standard form: ax² + bx +c = 0

4) c = 5

3x² + 8x = -5

3x² + 8x + 5 = 0

option c

5) b= 0

option a

james likes to make sculptures. First he makes a scale and then he blows it up to normal size. The height of the scale model is 3 inches. The scale he is using is 1inch = 3 feet. How tall is the sculpture?

Answers

The height of the full size sculpture is 9 feet

The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

8x + 2y = -2
2y = -8x - 2
y = -4x - 1

-4 is the slope, and -1 is the y-intercept is -1.

Zaby does 15 Joules of work to push the pencil over 1 meter. How much force did he use?

Answers

When converted to a household measurement, 9 kilograms is approximately equal to a

please help with solving

Answers

N.O = 4
N is midpoint of M.0
Meaning M.N also has to be 4
4+4= 8
N.P = 6
0.P = 2
8+ 2 = 10

Pls help me with this question

Answers

Answer:

-1;undefined;1;0

Step-by-step explanation:

The first one (-9/9), can also be written as - 9/9 = - 1.

The second one (9/0), is undefined because every single term even 0 itself, if you divide it by 0, it'll be undefined!

The third one, we see we have division, and whenever we have division or multiplication and also 2 negative signs, they cancel each other, as you're left with 9/9=1.

The fourth one, whenever you have 0 at the numerator, no matter the denominator(only matters when it's =0, but that's undefined), the result will always be 0 !

Mr. Nasser asks four of his students to measure four different objects. Here are the results.

Which student had the greatest percent error?

Answers

Step-by-step explanation:

Answer:

Emiko has the greatest percent error

Step-by-step explanation:

A motorboat takes 4 hours to travel 192 kilometers going upstream.

The return trip takes 3 hours going downstream.

- What is the rate of the boat in still water?
- What is the rate of the current?

Answers

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr

Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.

How many inches does the hairdresser cut?

Answers

Answer:

hairdresser cuts 8 inches

Step-by-step explanation:

32 ÷4 =8

Graph the line whose x-intercept is -5 and whose y-intercept is -9.

Answers

Here is how you're line should look!

Which values of a, b, and c represent the answer in simplest form?

7/9 * 4/9 = a b/c

Answers

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

7/9÷4/9  = 7/9*9/4cancel 9 on each side=7/4= 1 3/4

The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?

Answers

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°

solve pls brainliest

Answers

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

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