What is the solution to the following system of equations?

y + x = 43

y − x = −12

Answers

Answer 1

Answer:

(27.5, 15.5)

Step-by-step explanation:

Given y + x = 43 y − x = −12Solution

Sum up the equations:

y + x + y - x = 43 - 122y = 31y = 31/2y = 15.5x = 43 - 15.5 = 27.5

Related Questions

The quotient of a number and -7 is 8. What is the number?​

Answers

The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx

Help Please!! I will give brainliest!

Answers

If you take the total height and divide it by the number of cases it, it will then give you the heigh of just one case.
90 divided by 6=15
It’s 15 millimeters per DVD case. Then you take 15 and multiply it by 13 to get the total height of the stack of 13 cases.
Hope this helps!

Answer:

15 mm per case is the answer. The full answer is 195 mm.

Step-by-step explanation:

hope this helps:)

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answers

Answer:

15 small boxes and 5 big boxes

Step-by-step explanation:

5 x 3 = 15

15 x 35 = 525

5 x 65 = 325

525 + 325 = 850

PLEASE HELP ASAP!!
14 POINTS

a. 6 1/6
b. 6 1/3
c. 6 2/3
d. 6 3/2

Answers

The answer of the above question is 6 2/3 which is option c.

5/8 x w = 9
So basically 5/8 x what equals 9

Answers

Answer:

not sure

Step-by-step explanation:

(5/8)(w) = 9
w = 9 / (5/8)
w = (9)(8) / 5
w = 72/5
w = 14.4

I hope this helps!

Plz help me solve this inequality! I’m timed!

Answers

Answer:

y > 1

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y

Step 2: Solve for y

Distribute:                              3y - 6 + 12 - 8y < 18y - 6 - 11yCombine like terms:              -5y + 6 < 7y - 6Add 5y to both sides:           6 < 12y - 6Add 6 to both sides:             12 < 12yIsolate y:                                 1 < yRewrite:                                  y > 1

Here we see that any number y greater than 1 would work as a solution.

Plz help I made it extra points...

Answers

Answer:

a is a linear equation

Step-by-step explanation:

enter the value of b when the expression 10x+b is equivalent to 2(5x-2)

Answers

Answer:

B =4

Step-by-step explanati

URGENT HELP ME OUT PLEASE 20 points

What are the solutions to the quadratic equation?

Answers

i think it’s c hope this helps you :)

Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingredients for each one. How many ice cream cones must he sell at $1.20 each in order to make a profit?​

Answers

Answer:

34 ice cream cones

Step-by-step explanation:

1.20 - .43 = .77

26 - .77 n > 0

n > 33.77

34 ice cream cones hope this helped

the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r

Answers

Answer:

The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.

The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.

Given that;

The chart shows the number of rows in an auditorium and the total number of seats.

Since, The equation is satisfy the given numbers in chart.

So, Let an equation for chart;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Now, Substitute the value of r = 20 for the number of first rows in above equation we get;

s = 20 × 20 + 60

s = 400 + 60

s = 460

And, For second row, r = 45

s = 20 × 45 + 60

s = 900 + 60

s = 960

Thus, The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Learn more about the linear expression visit:

https://brainly.com/question/25682757

#SPJ2

if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

Please Find 23% of 40

Answers

Answer:

9.2

Step-by-step explanation:

THE POWER OF MULTIPLICATION

%/100=(x)/40

%=23 % (means out of 100 so (23/100=.23))

.23 = (x)/40 (solve for x)

9.2 is 23% of 40

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?
03 to 4
4 to 3
4 to 7
7 to 4

Answers

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

Step-by-step explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]

Geometry Please Help.

Find the specific measure below.

Answers

Answer:

55 degrees

Step-by-step explanation:

one triangle has 180 degrees

deg=35 degrees so subtract 35 from 180=145 dgrees.

the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55

You move left 3 units. You end at -4, -3. Where did you start?

Answers

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

determine the value of x​

Answers

Answer:

x is an unknown quantity whose value is determined based on any algebraic equation it is used in.

Step-by-step explanation:

The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?

Answers

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60

Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?

Answers

Answer:

£395

Step-by-step explanation:

call out fee = 35

30 per hour = 2 hour to be = 60

but, 12 minutes in hour = 12/60 = 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charges as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 = 395

A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​

Answers

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{16-14}{-1+3}[/tex]Subtract/Add:               [tex]m=\frac{12}{2}[/tex]Divide:                           [tex]m=6[/tex]

Step 3: Find y-intercept b

Define:                    y = 6x + bSubstitute:              16 = 6(-1) + bMultiply:                  16 = -6 + bIsolate b:                 22 = bRewrite:                   b = 22

Step 4: Write linear equation

y = 6x + 22

|x-8|<13
What is the solution

Answers

Answer:

x = (-5, 21)

Step-by-step explanation:

|x - 8| < 13

1 .

x - 8 < 13x < 8 + 13x < 21

2.

x - 8 > -13x > 8 - 13x > -5

Combined answer

-5 < x < 21x = (-5, 21)

slope-intercept form of Slope = -9/5, y-intercept = -4

Answers

Answer:

y = - [tex]\frac{9}{5}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus

y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line

Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.

Answers

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

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

Putting the values of m and b(y-intercept)

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

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

What is standard form of a line?
a. y = mx + b
b. Ax + By = C
c. y - y1 = m(x - x1)
d. y = Ax + By

Answers

B. Ax + By = C
Option A is slope-intercept form, option C is point-slope form.

use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.


PLS HELP

Answers

Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!

THREE QUESTIONSS PLEASE HELP !!!
1 . In the equation y=-4x+6, what is the y-intercept?
A.y
B.-4
C.x
D.6
2. Which equation or equations are written correctly in slope-intercept form? *
A.y=0.1x +2
B.f(x)=9.2x-5
C.h(x)=2x +3y
D.y-2=3(x+1)
3 .What is the slope of the equation -8x+4y=10?
A.4
B.-8
C.2
D.10

Answers

Answer:

1. B

2. C

3. C

Step-by-step explanation:

Answer:

1. D: 6      2.A:y=0.1x + 2      3.C

Step-by-step explanation:

1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.

2. A is the only one written in slope intercept form, or y = mx + b.

3. -8x + 4y = 10 written in slope intercept form is y  = 2x + 5/2. The slope is shown by 2.

What is m∠A?

m∠A =
A. 66
B. 57
C. 113

Answers

Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.

I know Im stupid, I just need help with this..​

Answers

Answer:

Sup

Step-by-step explanation:

Answer: the slope is one

Step-by-step explanation:

Sorry for the late answer but you better reply ;w;

To my recent question

Please..? I was busy tbh

A math test has two parts. Both parts have the same number of questions. Rachael answered 2/3 of the questions correctly in the first part of the test, but she only answered 1/2 of the questions correctly in the second part of the test. Overall, she answered 21 questions correctly. What is the total number of questions on the test?

Answers

Answer:

Step-by-step explanation:

21=1/2 so if thats 21 the answer would be 2/3=34

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