What is the value of c in this linear system?
A) 1
B) -3
C) -1
D) 2

What Is The Value Of C In This Linear System? A) 1B) -3C) -1D) 2

Answers

Answer 1

9514 1404 393

Answer:

   B)  -3

Step-by-step explanation:

There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more ad hoc approach. It appears that the value of b can be found by combining the last two equations.

  (1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)

  5b = 10

  b = 2

Now, we can substitute this value into the first two equations. This gives ...

  5a +c = -8

  a - c = 2

Subtracting 5 times the second from the first gives ...

  (5a +c) -5(a -c) = (-8) -5(2)

  6c = -18 . . . . simplify

  c = -3 . . . . . . divide by 6

The value of c is -3.


Related Questions

A bakery used 38 pounds of flour to make French bread and

3

bagels. One loaf of French bread requires 2- pounds of flour,

4.

and one batch of bagels requires pound of flour. Let a

represent the number of loaves of bread and b represent the

number of batches of bagels. Which equation represents the

relationship between the number of loaves of French bread

and the number of batches of bagels that the bakery made?

?

Answers

Answer:

since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:

a = number of loaves of French breadb = number of bagelsavailable amount of flour = 38

2a + b ≤ 38

2a ≤ 38 - b

a ≤ (38 - b) / 2

a ≤ 19 - 0.5b

b ≤ 38 - 2a

b ≤ 2(19 - a)

Hopefully one of these equations is one of the choices given to you.

The perimeter of a triangle is 60 cm and its sides are in the ratio 3 : 4 : 5. The length of the sides of the triangle are _________

a,10cm, 20cm, 30cm

b,15 cm, 20 cm, 25 cm

c,20 cm, 20 cm, 20 cm

d,15 cm, 35cm, 10cm

Answers

Answer:

Hey buddy, here is your answer. Hope it helps u.

Step-by-step explanation:

Let the unknown number be x

Perimeter of triangle= a+b+c

60=3x+4x+5x

60=12x

x= 60/12

X=5 cm

So the first side=3*x

=3*5=15

Second side=4*5=20

Third side=5*5=25

Answer is b

By-Kelyn

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

Let the sides be 3x, 4x and 5x. Then,

➝ 3x + 4x + 5x = 60 cm

It is because the total sum of the sides i.e. perimeter of the triangle is 60 cm.

➝ 12x = 60 cm

➝ x = 60 cm / 12

➝ x = 5 cm

Hence,

The required length of the sides:

3x = 15 cm4x = 20 cm5x = 25 cm

And we are done! :D

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

Help me please
Najdjajabahvaud

Answers

Answer:

$27

Step-by-step explanation:

Before entering, you have already payed, thus at 0 rides, your money payed is 27.

Answer:

the answer is C

Step-by-step explanation:

Bet ill make u a brilliest if u solve it correctly / pls dont post nontification like" report people who ask for joining meet."

A car left Kamloops at 9:00 AM and arrived at Vancouver, 340 km away, at 1:15 PM the same day. What was the average speed of the car in km per hour?

Hint: The average speed in km/h is the total distance in km divided by the total time in hours.

Reminder: Calculators are not allowed.

65 km/h
70 km/h
75 km/h
80 km/h
85 km/h
90 km/h
95 km/h

Answers

Answer:

80 km/h

Step-by-step explanation:

From 9:00 am to 1:15 is 4.25 hours.

340 / 4.25 is the average speed.

Without a calculator, we can use long division.

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). Everything below the line is shaded. A point is shown at (1, 1).
Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ One-halfx + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).

Which equation could Miguel write?

y > 2x + 1
y < 2x – 1
y ≥ 2x + 1
y ≤ 2x – 1

Answers

The linear inequality that satisfies the point (1, 1) is y ≤ 2x – 1 option (D) y ≤ 2x – 1 is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The graph of the linear inequality is shown in the picture.

The point is (1, 1)

Take the equation:

y ≤ 2x – 1

Plug x = 1, y = 1

1 ≤ 2 – 1

1 ≤ 1  (True)

Thus, the linear inequality that satisfies the point (1, 1) is y ≤ 2x – 1 option (D) y ≤ 2x – 1 is correct.

Learn more about the linear equation here:

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A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

132

Step-by-step explanation:

easy  66,000 * .002

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3. Triangle A B C is shown. Side A B has a length of 4 p minus 1, Side B C has a length of 3 p, and side A C has a length of p + 4. Which is correct regarding the angles of the triangle?

Answers

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

HELP ASAP - Which person is moving the
quickest? How is that shown in the
graph?

Answers

Answer:

Diego i think

Step-by-step explanation:

to me it looks like Diego is moving the fastest i hope this helps some.

*
Evaluate the function.
w(x)=-3x - 4; Find w(7)

Answers

Answer:

w(7)= -25

Step-by-step explanation:

-3(7)-4

-21-4

w(7)= -25

Mofor spent half of his weekly allowance on
clothes. To earn more money his parents let
him clean the oven for $8. What is his
weekly allowance if he ended with $15?
Please explain how you got the answer.

Answers

His weekly allowance would be $14 ; first you have to do 15-8= $7, because he got 8 dollars from cleaning the oven. Then you multiply the $7 by 2 because he had this much left after buying clothes, making his allowance twice as much, so 7 x 2= $14

Can someone please help me ?

Answers

Answer:

SAS (unless angle lines are drawn on by you, then it would be not enough info)

Step-by-step explanation:

Two sides both have the tick line to show that they are the same length.

They both share the same side

And if those angle lines were drawn by the question, then it would show that those angles are the same.

Add them all together to get SAS as you have (Side, Angle, Side)

12 to the fifth power divided by six to the third power

Answers

Answer:

1152

Step-by-step explanation:

This is it simplified.

Answer:

1152

Step-by-step explanation: 248832  over

63

=

248832

216

=1152

I needddd helpppppppp

Answers

Answer:

L' = (-1,10)

M'=(7,10)

N'=(1,0)

Step-by-step explanation:

folllow me

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

The length, breadth and height of a rectangle block are 10 cm , 15 cm and 25 cm. The LENGTH : BREADTH : HEIGHT ratio of the block is
a,2 : 3: 5
b,5 :2 : 3
c,3 : 2 : 5
d,1 : 3 : 5

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We have to find the simplest ratio between length, breadth and the height.

Here,

Length = 10 cmBreadth = 15 cmHeight = 25 cm

Note:

Always check the units first.Then find the HCF of the numbers to simplify them into the simplest ratio.

So,

HCF of 10, 15 and 25 is 5. Cancelling with respect to 5.

Then, the ratio will be 2:3:5 (Option A)

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

Step-by-step explanation:

if you divide everything by five you will get ur answer

Which of the following statements best describes the value of the expression 5x – 4 when x = 1? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.

Answers

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

Which of the statements best describes the value of the expression 5x – 4 when x = 1?

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

Read more on prime numbers;

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Divide. 5x + 3/5x3 - 22x2 - 40x – 15
The answer is N
(Simplify your answer.)

Answers

Answer:

[tex]n=\frac{386x-75}{5}[/tex]

Step-by-step explanation:

Add like terms

[tex]-35x+3\cdot \frac{3}{5}x-22\cdot \:2x-15=n[/tex]

Add 15 on both sides

[tex]-35x+\frac{9}{5}x-44x-15+15=n+15[/tex]

Simplify

[tex]-35x+\frac{9}{5}x-44x=n+15[/tex]

Multiply sides by 5

[tex]-35x\cdot \:5+\frac{9}{5}x\cdot \:5-44x\cdot \:5=n\cdot \:5+15\cdot \:5[/tex]

Simplify

[tex]-386x=5n+75[/tex]

Divide both sides

[tex]\frac{-386x}{-386}=\frac{5n}{-386}+\frac{75}{-386}[/tex]

You will get

[tex]x=-\frac{5n+75}{386}[/tex]

Then you will solve for n using x

Multiply both sides by 386

[tex]\frac{386\left(5n+75\right)}{386}=386x[/tex]

Simplify

[tex]5n+75=386x[/tex]

Subtraction

[tex]5n+75-75=386x-75[/tex]

Simplify

[tex]5n=386x-75[/tex]

Divide by 5 to get n

[tex]\frac{5n}{5}=\frac{386x}{5}-\frac{75}{5}[/tex]

[tex]n=\frac{386x-75}{5}[/tex]

what is 2+3x4 i already know

Answers

14 is your answer bukaroo

can you answer what is 2/5 x 3/8

Answers

Answer:

{3x}{20}

thats wa i got

Nellie says that 7.8 is smaller than 7.74 because 8 is a smaller number than 74. Explain her mistake.

Answers

Answer:

74

Step-by-step explanation:

because nelly forgot the decemal placement. She said 74 instead of 7.74

i need help lol idk how to do this

Answers

Answer: 33 degrees

Step-by-step explanation:

We can find angles PQS and PSQ by using the base angle theorem, which states that the base angles of an isosceles triangle are congruent. Subtracting 48 from 180 we get 132, which dividing by 2 we get 66 degrees.

Now we can use the exterior angle theorem, which states that an exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle. In this case, we are saying that ∠QSP= ∠QRS+∠RQS. Both of these angles are congruent because of the base angle theorem as well. Dividing 66 by 2 we get 33 degrees. Thus, m∠QRS=33°

Write the slope-intercept form of the equation of the line through the point (5,2) with a slope of -2/5.

Answers

Answer:

The answer is in the picture below

Step-by-step explanation:

it would be y-2=-2/5(x-5)

7. Serene paid $35.01 to buy 9 hot dogs. How much did each hot dog cost?

Answers

Answer:$3.89

Step-by-step explanation:

divide 35.01 by 9 and then you get the answer $3.89

carol gets paid $10 per hour to work as a lifeguard. This weekend, she worked both saturday and sunday. She made a total of $80. Carol worked for 5 hours on Saturday. For how many hours did she work on Sunday?

Answers

Answer:

Carol worked for 3 hours on Sunday

Step-by-step explanation:

If she gets $10 an hour, then she worked 8 hours total.

80 divided by 10.

If carol worked 5 hours on sunday, she worked 3 hours on saturday

8-5 = 3

The addition is one of the four fundamental mathematical operations. The number of hours that Carol works on Sunday is 3 hours.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that Carol gets paid $10 per hour to work as a lifeguard. Also, she made a total of $80. Therefore, the number of hours for which Carol worked is,

Number of hours = $80 / $10 per hour = 8 hours

As it is known that Carol worked 5 hours on Saturday, therefore, the number of hours she worked on Sunday is,

Total number of hours = Number of hours on Saturday + Number of hours on Sunday

8 hours = 5 hours + Number of hours on Sunday

Number of hours on Sunday = 8 hours - 5 hours

Number of hours on Sunday = 3 hours

Learn more about Addition:

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Lina worked 15 hours last week and was paid £97.20. This week she earned £155.52 at the same rate of pay. How many hours did she work this week?

Answers

Answer:

24

Step-by-step explanation:

I did 97.20 divided by 15 and got 6.48. Then, I did 155.52 divided by 6.48 and got 24. I hope this helps you!

write the following statement as a proportion: 44 is to 12 as 66 is to m​

Answers

Answer:

m = 18

as 44 : 12 :: 66 : m

therefore 44÷(12×66)

=44÷792

= 18

Answer:

m = 18

Hope this helps and have a great day!

And please mark me brainliest if you can :)

What is the solution to the system of linear equations graphed below?

On a coordinate plane, 2 lines intersect at (3.5, negative 4).
(3 and one-half, negative 4)
(Negative 4, 3 and one-half)
(0, 3)
(0, negative 4)

Answers

Answer: The answer was A,

(3 1/2 , -4 )

For people who are taking the test on edge.

Step-by-step explanation:

Answer:

A is the correct answer

If V is the circumcenter of triangle PQR, find the length of PV.
Round to the nearest tenth, if necessary.
PLS HELP FOR GEOMETRY

Answers

9514 1404 393

Answer:

  22.8

Step-by-step explanation:

The circumcenter is equidistant from all the vertices of the triangle: PV = RV. There are enough dimensions given to let us find RV from the Pythagorean theorem.

  RV² = RS² +SV²

  RV² = 11² +20² = 521

  RV = PV = √521 ≈ 22.8

I REALLY NEED HELP PLZZ
Frankenstein is definitely a classic and he can still manage to get a few scares, but the also classic Werewolf has seen better days. The Werewolf is often the target of scares and has an equation perpendicular to Frankenstein's. Frankenstein's equation is`y=x+5` and the Werewolf's equation passes through the point `\left(-1,-2\right).` What is the Werewolf's equation?

Answers

Answer: uhm- I think ####

Step-by-step explanation: it taggd it out

how would the school work differently if any of the locations above were missing ​

Answers

Answer:

huh what locations

Step-by-step explanation:

Answer:

Above what?

Step-by-step explanation:

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