Solve the system of equations x - y = 12 and x + 7y = -20 by combining the
equations.

Answers

Answer 1

Answer:

x=16, y=-4

Step-by-step explanation:

-1(x-y=12)

x+7y=-20

-x+y=-12

x+7y=-20

8y=-32

y=-4

x-4=12

x=16

Answer 2

Answer:

x= 8, y= -4

Step-by-step explanation:

You can subtract one equation by another to eliminate x

(x-y)-(x+7y)=12-(-20)

-8y = 32

y= -4

Substitute y =  -4 in the first equation:

x-(-4) = 12

x =8


Related Questions

Simplify: -4g(8g + 5)

Answers

Answer:

−32^2−20

Step-by-step explanation:

Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.

Answers

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe

Answers

Answer:

2.250 feet thick

Step-by-step explanation:

hope it helps mark as brainliest

Answer:

Step-by-step explanation:

The outside diameter minus the inside diameter would leave a difference of TWICE the thickness of the pipe, so divide the difference by 2

Pipe Thickness =  (OD -  ID) / 2  

                           =  (1.275 - 0.975) / 2

                           =   0.3 / 2

                           =   0.15 feet

A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

a. Trueb. False

Answers

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?

Answers

Answer:

x=7/2 and x=-2/7

Step-by-step explanation:

By the Zero Product Property, we will set both expressions equal to 0 and solve:

p(x) = (2x-7)(7x+2)

0 = (2x-7)(7x+2)

2x-7=0 and 7x+2=0

2x=7 and 7x=-2

x=7/2 and x=-2/7

The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

p(x) = (2x – 7)(7x + 2)

Then the zeroes of the polynomial will be

The factor of the polynomial is already given. Then the zeroes will be

x = 7/2, -2/7

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Please help ASAP!!!!!

Answers

Answer:

First term of the given series = 4

The last term of the given series = 11

Step-by-step explanation:

Explanation

Given that the sum of the series

                  ∑⁸ₙ₋₁  (n+3)

The [tex]n^{th}[/tex] term of the given sequence

           aₙ = (n+3)

Put n=1

         a₁ = 1+3 = 4

Put n=2

        a₂ = 2+3 =5

Put n=3

       a₃ = 3+3 = 6

Put n=4

     a₄ = 4+3 =7

Put n=5

    a₅ = 5+3 =8

Put n=6

   a₆ = 6+3 =9

Put n=7

  a₇ = 7+3 = 10

Put n=8

  a₈ = 8+3 =11

The sequence of the given series

          4,5,6,7,8,9,10,11

Final answer:-

First term of the given series = 4

The last term of the given series = 11

           

Khan academy pls help!

Answers

Answer:

The answer is b

Step-by-step explanation:

Just really need a answer to this Savvas question!

Answers

Answer:

Solution given:

radius=r=2cm

height=h=9cm

Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³

The required volume is 36π0r 113.1cm³

What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
the radio is 14
help pleasee​

Answers

Answer: 615.4

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

if the radius is 14

[tex]A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\[/tex]

Answer:

615.4

Step-by-step explanation:

Area= 3.14x14²

Area= 615.4

Hope this helps!! have an Amazing day!!

Please help I forgot how to do this

Answers

Answer:

56.

Step-by-step explanation:

Formula for solving a triangle is 1/2 * base * height.

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take

Answers

Answer: 5

Step-by-step explanation:

Select all possible solutions for 2x + 7 ≤ 3x - 5.

Answers

Answer:

12 ≤ x

Step-by-step explanation:

2x+7 ≤ 3x-5

7+5 ≤ 3x-2x

12 ≤ x

Which expression has a value of 39?

A 24 X 2 - 8 + 42 divided by 8 - 6

B 24 X 2 - 8 + 42 divided by (8 - 6)

C 24 X (2 + 8) + 42 divided by 8 - 6

D 24 X 2 - (8 + 42) divided by 8 - 6

Answers

Answer:

A

Step-by-step explanation:

48 - 8 +5.25-6 = 39.25

b 48 -8 + 21 = 61

c 240+5.25-6= 239.25

d 48 -50/8 - 6 = 35.75

If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by C22 is ?

In a matrix with components aij, which represents unit sales for july, the maximum possible value that a31 can have is ?

Answers

Answer:

[tex]C_{22} = 389[/tex]

[tex]Max(A_{31}) =376[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): The entry C22

First, matrix C represents the inventory at the end of July.

The entry of C is calculated as:

[tex]C = Inventory - Sales[/tex]

i.e.

[tex]C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right][/tex]

Item C22 means the entry at the second row and the second column.

From the matrix

[tex]C_{22} = 389[/tex]

Solving (b): The maximum A31 possible.

From the given data, we have:

[tex]Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right][/tex]

[tex]Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

From the matrices above.

A31 means entry at the 3rd row and 1st column.

So, the possible values of A31 are:

[tex]A_{31} = 376[/tex]

and

[tex]A_{31} = 54[/tex]

By comparison, 376 > 54

So:

[tex]Max(A_{31}) =376[/tex]  

A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.

B.
The location of the scuba diver in relation to sea level was feet.

C.
The location of the scuba diver in relation to sea level was feet.

D.
The location of the scuba diver in relation to sea level was feet.

Answers

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

What is the area of the shaded segment shown? Round your answer to the nearest tenth please help me solve this

Answers

Answer:

0.3 in²

Step-by-step explanation:

This picture is NOT to scale.  That 20° Angle looks more like 70°.

Area of the circle = 81pi = 254.469

20/360 of the circle = 1/18 = 14.137

Area of triangle = 13.851

14.137-13.851= 0.3 in²

Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.

The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.

Answers

Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°

What is a Regular Polygon?

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°

Learn more about regular polygon on:

https://brainly.com/question/1592456

Answer: b, c, e

Step-by-step explanation:

Which expression represents 3/8 less than 7/8 of a number?

Answers

The answer: 6/3 answered on Ed

Ok. Keleiek 2/7=^++^*€€£|€|£|

Answers

What is that??????????????

Answer:

pardon?

Step-by-step explanation:

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x=13.584

Step-by-step explanation:

[tex] \frac{x}{ \sin(51) } = \frac{11}{ \sin(39) } \\ [/tex]

[tex]x = 13.584[/tex]

[tex]180 - 39 - 90 = 51[/tex]

9 is what percent of 45?

Answers

Answer: 20%

9/45 x 100%= 20%

Answer:

20

Step-by-step explanation:

Edgenuitu

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min​

Answers

9514 1404 393

Answer:

  5.8496 min

Step-by-step explanation:

  [tex]\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}[/tex]

__

Modern calculators can perform integration with high accuracy. This one gives the same result.

Stacy Arrington is paid $.73 for sewing a
jacket collar, $.86 for a sleeve with cuffs,
and $.94 for a lapel. One week she sewed
318 jacket collars, 112 sleeves with cuffs,
and 37 lapels. Find her gross earnings.

Answers

Answer:

Her gross earnings for that week were $ 363.24.

Step-by-step explanation:

Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:

(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X

232.14 + 96.32 + 34.78 = X

363.24 = X

Therefore, her gross earnings for that week were $ 363.24.

The diagonals of a rectangle are parallel?
true or false
helpp me plzzz

Answers

Answer:

No, the diagonals of a rectangle are not parallel.

In fact, they intersect at a point, so that means it is impossible for them to be parallel.

So, the statement is false

PLS HELP!!!
PLSSSSS!!!!

Answers

Answer: x=12dm

Step-by-step explanation:

c=13     means hypotenous

a=5     means altitude

b=x=?   means   base

By pythagorean theorem

c^2=a^2+b^2

(13)^2=(5)^2+(x)^2

169=25+x^2

x^2=169-25

x^2=144

Taking sqrt  on both sides

x=12

Which of the following inequalities matches the graph?

A. -2x + 3y > 7

B. 2x - 3y < 7

C. -3x + 2y ≥ 7

D. 3x - 2y ≤ 7

Answers

A. But if it’s wrong then I’m sorry

The area of a square lawn is 100 square yards. How long is each side of the lawn?

Answers

Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Gideon is filling a container with sand. How much sand will fit in the container?
2 cm
19 cm
11 cm
A 32 cm
B. 209 cm
c. 418 cm
D. 629 cm3

Answers

Answer:

C) 418 cm

Step-by-step explanation:

19*11=209

209*2=418

formula for volume= l*w*h

Can I please have Brainliest?

equivalent equation for 3:7

Answers

Answer:

Hay fracciones infinitas equivalentes a 3

7

. Vea algunos ejemplos:

3

7

, 6

14

, 9

21

, 12

28

, 15

35

, 18

42

, 21

49

, 24

56

, 27

63

, 30

70

, 33

77

, 36

84

, 39

91

, 42

98

, 45

105

, 48

112

, 51

119

, 54

126

, 57

133

, 60

140

...

Lista más fácil de copiar y pegar:

3/7, 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84, 39/91, 42/98, 45/105, 48/112, 51/119, 54/126, 57/133, 60/140 ...

Step-by-step explanation:

Answer: Hello, There! your Answer is Below

6:14

Step-by-step explanation:

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Hope this Helps!!

Plz explain your Question Better.

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