(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =

Answers

Answer 1

Answer:

a=-4

Step-by-step explanation:

1) Isolate x for 2x+y=3 which will give us x=3-y/2

2) Substitute 3-y/2 in the equation -8x+ay=-11

3) Then we simplify

4) Isolate for y

5)Then we simplify in order to get -4


Related Questions

9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.

Answers

Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Step-by-step explanation:

A really simple conditional statement can be written as:

If P, then Q

Where P is the hypothesis, and Q is the conclusion.

In this case, we know that:

"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"

This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66

Then we can write a conditional statement:

If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Solve using the multiplication principle. -80>16x

Answers

Answer:

-5 > x

Step-by-step explanation:

-80>16x

Divide each side by 16

-80/16>16x/16

-5 > x

I need Help Asap Please Please

Answers

Answer:

C

Step-by-step explanation:

Evaluate 27 x 1/3 to the third power.

Answers

Answer:

If i'm not mistaken its 1

Step-by-step explanation:

Please answer this!
Who invented maths?

Answers

Answer:

ancient greek invented math

A teacher earns 32500 per year if 33% of her income is withheld for taxes, how much money is withheld for taxes

Answers

Answer:

$11,357 is withheld for taxes


What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D

Answers

Answer:

The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).

S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.​

Answers

Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

Need help with these

Answers

Answer:

a. 0.07

b. 0.17

c. 0.333

d. 0.417

which is the correct answer?

Answers

Answer:

105°

Step-by-step explanation:

The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?

Answers

Given :

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .

In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.

To Find :

How much will it cost to carpet the bedroom.

Solution :

Length of bedroom , l = 5.5 × 3 = 16.5 ft.

Width of bedroom , w = 3.25 × 3 = 9.75 ft.

SO, area of bed room is :

[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]

Now, cost to carpet the bedroom is :

[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]

Hence, this is the required solution.

A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.

Answers

[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]

[tex]\hrulefill[/tex]

To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.

[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]

To find how far the car will travel in a certain time, just multiply the speed by the time.

[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]

[tex]\large\boxed{3\ \text{km}}[/tex]

7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.​

Answers

Answer:

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

HELPP PLEASEEEE THANK YOUUU MU FRIEND!

Answers

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

7.83mm= km (using the metric staircase)

Answers

Answer:

7.83 mm to km

7.83* 10^-6 or 7.83/10^6

0.00000783 km

Write five hundred twenty-five thousandths as a decimal number

Please help

Answers

Answer:

.525

Step-by-step explanation:

Five hundred twenty-five thousandths is a decimal number will be 0.525.

What is a decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.

The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-

Five hundred twenty-five thousandths = 0.525

Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.

To know more about decimal numbers follow

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What is the value of x?

Answers

Answer:

35 degrees

Step-by-step explanation:

180-95=85

180-(85+60)=35

B) 35 (180-95=85+60=145 180-145=35)

In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)​

Answers

Answer:

I'm fairly certain the answer is A, The first one

explanation:

Ray OB is between rays OA and OC

I need help I’ll give you points it’s urgent

Answers

Answer:

Step-by-step explanation:

Area: 28.26

Circumference: 12.56

On a test, Avery lost 5
points for each of the 6
questions she got wrong
but earned 10 points for
answering the bonus
question correctly. What
integer represents her
score in relation to a
perfect score of 100?

Answers

Answer:

bruhhhhhhhhhhhhhhhhhhhhhhhhhh

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

Answers

Answer:

B. 16°

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

what are the steps and answer for - 5n - 2 = 38

Answers

Answer:

n = -8

Step-by-step explanation:

[tex]- 5n - 2 = 38[/tex]

Collect like terms and simplify

[tex]-5n = 38+2\\\\-5n = 40[/tex]

Divide both sides of the equation by -5

[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]

Simplify

[tex]n = -8[/tex]

You would add two to 38. Then divide both sides by -5 to get N=8

The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?

Answers

Answer:

12

Step-by-step explanation:

s=gr-5gc³, solve for g

Answers

Answer:

g=r/1+5c3

Step-by-step explanation:

............ ........

A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?

Answers

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

To learn more about an equation visit:

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Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).

Answers

Answer:

  (x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

y = -2x -92x +3y = -3

Use the first equation to substitute for y in the second:

  2x +3(-2x -9) = -3

  2x -6x -27 = -3

  -4x = 24 . . . . . . . . . add 27, simplify

  x = -6 . . . . . . . . . . . divide by -4

  y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

A manufacturing company uses three measuring tools to
measure lengths. The tools are tested using a standard
unit exactly 7 cm long. The results are as follows.
a. Which tool gives the most precise measurement?

Answers

Precision is how detailed a measurement is.

7.033 has 3 digits after the decimal point

6.91 has 2 digits after the decimal point

7.1 has a single digit after the decimal point.

Since 7.033 has the most digits after the decimal point, it is more precise than the others.

Describe and correct the error in finding the value of the power.

8 to 3power= 8x3 = 24

The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.

The answer should be 8 to 3 power =____=____.

Answers

Answer:

regular number; base

Step-by-step explanation:

Answer:

1. Multiplication

2. 8

3. 8^3=512

Write equation of the line that passes through (4, 2) and (7,20)

Answers

-3 passes through 4,2
7,20 pass through is 49

WILL GIVE BRAINLIST Someone solve number 4 for me really quick must show work

Answers

Answer:

1/3

Step-by-step explanation:

3 1/3 divided 10 = 1/3

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