Given: 8x - 3y= -21, 3x + y = -10; prove x= -3

Answers

Answer 1
8x-3y=-21
3x+y=-10

Substitute the value of y
8x-3y=-21
y=-10-3x

8x-3(-10-3x)=-21

x=-3

Related Questions

There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.​

Answers

Answer:

Below!

Step-by-step explanation:

The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.

The slope of the graph resembles the unit rate.

The unit rate is the amount it cost per minute.

The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.  

Please answer quick !! (show work too) Thank you!

Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?

Answers

Here u go

Answer:

$374

Step-by-step explanation:

She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)

28% of $800 = 28/100 . 800 = 224 ($)

Total: 150+224 = 374 ($)

The table shows information about all students in a Year 7 form class.

Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35

A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.

Answers

Answer:

18/35

Step-by-step explanation:

favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).

2x-y=5
2x-5y=-31
elimation method

Answers

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

Please help with this

Answers

Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]

Answer:

x = 27

Step-by-step explanation:

Please help me! my teacher didn't teach me this!!

Answers

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.

1/8 x^3 - 1/27 y^3

Answers

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?

Answers

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Because is a line is of the form

[tex]y = mx + b[/tex]

and its parallel to the line

[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]

So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form

[tex]y = b[/tex]

Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to

[tex]y = -6[/tex]

answer this please ty

Answers

Answer:

Answer will be 1/53 as a fraction, and 0.02 as a decimal.

Step-by-step explanation:

In order to solve this equation, we will first plug in -8 into every x term.

So now we will have:

[tex]f( - 8) = \frac{1}{ - 8 {}^{2} - 11 } [/tex]

{Don't mind the f (-8), just think of it as a sort of place holder.}

Anyways, now we will do -8 × -8, since that's what -8^2 implies:

-8 × -8 = 64

Next do 64 - 11, to get 53.

Now we have 1/53

(You can also divide the numerator by the denominator, to get the answer in decimal form.)

Hope this helps you :)

Sorry if it doesn't.

Write an equation for the line in the given form.

the slope is 4 and (−4, 5) is on the line; point-slope form

Answers

Answer:

y - 5 = 4(x + 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, 5)

Slope m = 4

Step 2: Find Equation

Substitute in variables [Point-Slope Form]:                                                    y - 5 = 4(x - -4)[Order of Operations] Simplify:                                                                        y - 5 = 4(x + 4)

At a school
Number of boys : number of girls 11:9
There are 124 boys than girls
Work out the total amount of students at the school

Answers

Step-by-step explanation:

Total ratio =11+9

=20

=120/20×124

=744

therefore the number of students are 744

Pls help me


Question 8 (5 points)

(03.05 LC)

What is the volume of a cylinder (in cubic inches) with a radius of 6 inches and a height of 3 inches?

Use 3.14 for n. Round your answer to the nearest hundredth. (5 points)

a

339.12 cubic inches

b

56.52 cubic inches

с

100.48 cubic inches

d

113.04 cubic inches

Question 9 (5 points)

Answers

Hi there Kay,

The correct answer according to a cylinder calculator would be 339.29 cubic inches but the closest answer you have would be 339.12 cubic inches

Need help fast i have a test tomorrow and i need to get ready
Question there asking:examine (a), (b), and (c) and select the best answer.
(a) 1 / 5 of 30 (b) 1 / 4 of 20 (c) 1 / 3 of 15

Answers

Answer:

  a) 6

  b) 5

  c) 5

Step-by-step explanation:

In this context, "of" means "times."

a) 1/5 of 30 = 1/5×30 = 30/5 = 6

b) 1/4 of 20 = 1/4×20 = 20/4 = 5

c) 1/3 of 15 = 1/3×15 = 15/3 = 5

5 = 5+r-2r
what's the answer to this equation

Answers

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

666.96358875 × 411.8596678

Answers

Answer:

274695.40209727081725

Step-by-step explanation:

PLEASE HELP FAST; What is (7 · 5 · 2 / 7 · 3)^2 x (5^0 / 2^-3)^3 x 2^-9?


-10/9


20/3


-100/9


-700/3

Answers

Answer:

I think it's 900

Step-by-step explanation:

Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.

A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).

Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.

Answers

Answer:

Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5

Answers

Answer:

6) y= -3x+3

7) y= -4x+5

Step-by-step explanation:

Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else

Answers

Answer:

7 by 21 is the answer so 1 by 3 and that will be 3

What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?

Answers

Answer:

the slope is 2

Step-by-step explanation:

use the slope formula which is y2-y1/x2-x1


Find m rs. sr 6x + 6 rq 2x + 14

Answers

Answer:

arc RS = 72°

Step-by-step explanation:

The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then

2x + 14 = [tex]\frac{1}{2}[/tex] (6x + 6) = 3x + 3 ( subtract 2x from both sides )

14 = x + 3 ( subtract 3 from both sides )

11 = x

Then

RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

What will be the length of cloth used to make each bag, ​if 16 bags of equal sizes can be prepared from 50 m cloth?
A) 3 1/4 m
B) 8 1/6 m
C) 8 1/3 m
D) 3 1/8 m​

Answers

Answer:

3 1/8

Step-by-step explanation:

16 bags = 50 m

1 bag = 50/16

1 bag = 25/8

1 bag = 3 1/8 ( due to mixed fraction )

so the cloth needed to make one bag is 3 1/8 m

What two-dimensional cross-sections could be created by slicing a triangular prism?

Select all that apply.

trapezoid

hexagon

square

rectangle

ellipse

triangle

Answers

Answer:

Triangle I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangle

Kathy is laying stepping stones in her garden the stones are 8 inches long and she wants to create a path that is 10 feet long how many stones will she need

Answers

Answer:

15 stones

Step-by-step explanation:

1) It is easier to convert to one unit. So i chose to convert everything to inches.

1 foot = 12 inches

10 feet = 120 inches

2) we then simply divide the size of the stones to see how much we need to cover the path

120/8 = 15 stones  

solve pls brainliest

Answers

Answer:

5/2

Step-by-step explanation:

please mark me brainiest

1/10 = 10%

a percent is

[tex] \frac{part}{whole} = \frac{x}{100} [/tex]

If u take 1/10, 10 is one tenth of 100 (10*10=100).

Select the correct answer.
Which equation could represent the graphed cubic function

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct

Answers

Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.

Diagram is below.

marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct

Answers

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

Graph the equation 3x-5y=15

Answers

Answer:

sorry don't know but thanks for the coins bro

Step-by-step explanation:

because im broke and need answers to man i going to use the coin for good thanks again find somebody else

Answer:

5y= 3x-15

This is the equation of the graph in slope intercept form: y=3/5x-3

Here is the graph for it:

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