Mathematics High School

2x - 5y + 3z = 27
4x + 3y - 7z=-37
x - 2y + 5z = 30
I need help solving this with cramers rule

Answers

Answer 1

Step-by-step explanation: answer {x,y,z} = {1,-2,5}

/ Solve equation [3] for the variable x

[3] x = 2y - 5z + 30

// Plug this in for variable x in equation [1]

[1] 2•(2y-5z+30) - 5y + 3z = 27

[1] - y - 7z = -33

// Plug this in for variable x in equation [2]

[2] 4•(2y-5z+30) + 3y - 7z = -37

[2] 11y - 27z = -157

// Solve equation [1] for the variable y

[1] y = -7z + 33

// Plug this in for variable y in equation [2]

[2] 11•(-7z+33) - 27z = -157

[2] - 104z = -520

// Solve equation [2] for the variable z

[2] 104z = 520

[2] z = 5

// By now we know this much :

x = 2y-5z+30

y = -7z+33

z = 5

// Use the z value to solve for y

y = -7(5)+33 = -2

// Use the y and z values to solve for x

x = 2(-2)-5(5)+30 = 1

Related Questions

How many soap cakes can be placed in a box of size 56 cm x 0.4 m 0.26 m, if the size
of a soap cake is 7 cm x 5 cm x 2.5 cm?​

Answers

Answer:

length of box = 56cm

breadth = 0.4m = 40cm

height = o.25m = 25cm

Volume of Box = Volume of soap × n

n = number of soaps.

LBH = lbh × n

56 × 40 × 25 = 7 × 5 × 2.5 × n

n = 56×40×25/35×2.5

n = 56000/87.5

n = 640

so, 640 soaps can be placed in the box.

1. Write a point slope form of the equation of a line through the given points: (2, 3) and (-5, -5)

Answers

Answer: 8/7
delta y/ delta x
-5-3/-5-2
-8/-7
slope = 8/7

Answer:

y = 8/7x + 5/7

Step-by-step explanation:

Change in y over change in x to get the slope.

5. The denominator of a fraction exceeds the numerator of a fraction by 25.
The value of the fraction is 3/8. Find the number

Answers

9514 1404 393

Answer:

  15/40

Step-by-step explanation:

The difference between denominator and numerator in 3/8 is 8-3 = 5. In order to get an equal-value fraction with that difference being 25, each of the numbers must be multiplied by 5:

  3/8 = 15/40

The number is 15/40.

9x^2+16=0 what are the solutions

Answers

X=4i/3,-4i/3

Need 20 characters

8 4/7÷1/5 Please Help

Answers

Answer:

42.8571428571

Step-by-step explanation:

8 4/7÷1/5 is like (8 4/7) / (1/5)  = 42.8571428571


Lisa earns 4.75% on her sales.
She averages $50,000 in sales monthly.
Additionally, she earns $500 biweekly.
What is her annual pay (including commissions)?

Answers

I might be wrong, but here;
You don’t add your salary until the very end.
4.75•50,000=237,500
Now add the salary,
Your answer should be $238,000

If A pizza has 8 slices and sells for $12. At this rate, how much would 15 slices cost?

Answers

Answer:the answer is 11

Step-by-step explanation:

pls give brianlyist

Answer:

$22.50

Step-by-step explanation:

8 slices = $12

8/4 = 2

$12/4 = $3

8 + 6 = 14

14 s = $21

1 slice = $1.50

* 15 = $22.50

Which fraction is equivalent to 2/6?​

Answers

Answer:

1/3, 2/6, 3/9, 4/12

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

if you simlpify 2/6 you would get one third times that by three its 3 ninths

Plzzz help me with number 10 I’m sooo stuck hurry

Answers

B i think...

And arithmetic sequence is adding or subtracting

Anyone know this one? Quick!

4(x – 5) + (3x + 15) – 5x

Answers

Answer:

4(x-5)+(3x+15)-5x

4x-20+3x-20+15=0

collect like terms

4x-5x+3x-20+15=0

2x-5=0

2x÷2=5÷2

x=5÷2

Can someone help me please!

Answers

Answer:

4x^2+17x+15

Step-by-step explanation:

(4x-3)(x+5)

= 4x(x+5) -3(x+5)

= 4x^2+ 20x -3x + 15

= 4x^2 + 17x + 15

PLEASE ANSWER THIS ASAP !!!! (Turn sideways )

Answers

Answer:

  y = 2x + 8

Step-by-step explanation:

You can see that the line crosses the y-intercept at 8 which is point (0, 8). From that y-intercept point you rise 2 then run 1 to get to point (2, 12), this rise over run is your slope 2/1 or simply 2.

y = mx + b

m is your slope

b is your y-intercept

y = 2x + 8

Someone please help me with this

Answers

Answer:

option 1 33 + 15x

Step-by-step explanation:

multiply by 3 throughout

so,

3 times 11 plus 3 times 5x so it's 33+15x, option 1

Answer:

33 + 15x

Step-by-step explanation:

bcz we have to multiply

3×11=11

3×5x=15x

What is the slope of a surface having a rise of 5 feet and a run of 0 feet?

Answers

Answer:  The slope is "undefined."

Step-by-step explanation:  In math, division by 0 is undefined-- like you can't do it  

For slope, you need to divide rise/run.  If the run is 0, so undefined.

In real life, this surface would be like a wall or a door. They don't have a slope if they're constructed properly!

Janis is selling water and Gatorade at the parade. Gatorade costs $3 per bottle. She made $20 on water sales. Write an expression that represents how much money Janis will collect in all.

Answers

The expression would be 3x+20 I’m pretty sure

Lon is selling gift baskets at a craft fair. His costs are $75 for the table and $12 per basket. He sells each basket for $20.

1. Let b equal the number of baskets. Which expression represents Lon's costs? *
A- 12b - 75
B- 12b +75
C- 20b - 75
D- 20b -12b

2. How many baskets must be sold to make a profit? Solve this inequality to find out. 20b > 12b + 75 (hint: remember it's asking to make a profit) *

A- fewer than 9
B- fewer than 10
C- at least 10
D- more than 12

Answers

Answer:

1. B

2. D

Step-by-step explanation:

1. Lon's cost would be the $12 per basket times how many baskets he sells, in this case b plus the cost of the table. Lon's expression is 12b + 75

2. He needs a profit and the only way he could make that profit is if he sells more than 12.

20b > 12b + 75

20 (12) > 12 (12) + 75

240 > 140 + 75

240 > 215

Answer:

1-B

2-D

Step-by-step explanation:

Solve the equation
6-x-x = 18
a: -6
b: 6
c: 9
d: -9​

Answers

Answer:

x = -6

I hope this helps!

Mindy makes 6 dozen chocolate chip cookies.
She takes 20 minutes to make all the cookie batter, and then she puts the cookies in the oven for 8 minutes per dozen.
To find how much time Mindy takes to make all the cookies, identify the hidden question.

Answers

You have to find how much time it took to bake 6 dozen cookies. 6 x 8 = 48 min
Then add the 48 min to the 20 min it took to make the batter. 48+20= 68 min or 1 hr 8 min

The wheels on Madison's bike are 64 inches in circumference. How many times do the wheels rotate if Madison rides 300 yards?

Answers

Answer:

Hello the answer is

diameter = 49cm;

radius = diameter/2 = 24.5cm;

circumference = 2πr ≈ 153.94 = 154cm

1 revolution = 154cm

50 revolution = 7700cm = 77m

I hope I am correct. also please mark brainliest

Step-by-step explanation:

2x + 5y = -5
x + 3y = 3

Find the solution to the system algebraically

Answers

Answer:

-2y=-5x=3

Step-by-step explanation:

Make sure every variable is on one side of the equation and you get the answer.

Find an explicit rule for the nth term of the sequence.

7, 21, 63, 189, ...

Answers

Answer:

f(n) = f(7) * 3^(n-1)

Step-by-step explanation:

solve as multi-step eqaution 24(34 + r) = 1200

Answers

The value of 'r' in the expression 24(34 + r) = 1200 is 16.

What are the basic properties of arithmetic laws of operations?

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 24(34 + r) = 1200.

First, we'll distribute LHS,

24×34 + 24×r = 1200.

816 + 24r = 1200.

24r = 1200 - 816.

24r = 384.

r = 384/24.

r = 16.

learn more about the distributive property here :

https://brainly.com/question/5637942

#SPJ2

brooooooooooooooo i missed it post somthing else like that

Answers

Answer:

lol

Step-by-step explanation:

At the city museum, child admission is 6.10 and adult admission is 9.40. On wednesday, 125 tickets were sold for a total sales of 944.00. How many adult tickets were sold that day?

Answers

55 adult tickets. Set up 2 equations: c+a=125 and 6.1c+9.4a=944. Isolate either variable from first equation and plug into second to find that 55 adult tickets were sold and 70 children’s tickets

Factor.
9y2 - 12y - 12 Please put it as (x+b) (x+b) form

Answers

Answer:

3(3y+2)(y-2)

hope this helps

Answer: 3(3y+2)(y-2)
Solving Steps:

buddy guy!!, has anyone noticed that mos thanks have bats literally lots of there names r like dome7

Answers

Answer:

yes i noticed that

Step-by-step explanation:

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
2 - 0
6 - 2
2 - 4
6 - 4

Answers

Answer:

2 - 4

Step-by-step explanation:

Answer:

D or 6 - 4

Step-by-step explanation:

Hope this helps!

Plz help me, can't figure this out:

Answers

Answer:

y= -2/5x - 6

Step-by-step explanation:

Use Rise/Run with any of the given points! You go up two, left 5. That proves the slope is -2/5. The line hits the Y axis at -6, so the y-intercept is -6!

I hope this helps!!

adding and subtracting unlike denominators 3/4+ 2/5​

Answers

Answer: 1.35

Step-by-step explanation:

Answer:

[tex]\frac{23}{20}[/tex] or [tex]1\frac{3}{20}[/tex]

Step-by-step explanation:

([tex]\frac{3}{4}\\[/tex]·5)+([tex]\frac{2}{5}\\[/tex]·4)

[tex]\frac{15}{20}+\frac{8}{20}[/tex]

[tex]\frac{23}{20}[/tex]=[tex]1\frac{3}{20\\}[/tex]

I don’t really understand this can someone help please?

Answers

Answer:

23 degrees

Step-by-step explanation:

So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest

Answer:

23

Step-by-step explanation:

Ans is in attachment

hope it helps :)

plz mark as brainliest

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