What is a system of equations?

Answers

Answer 1

Answer:

A system of equations is a set of equations which are collectively satisfied by one solution of the variables.


Related Questions

i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)

Answers

Ok so to start you plug in what’s in the parentheses for x

4c=8-5(4c)
2-k=8-5(2-k)
4p+3=8-5(4p+3)

In the first one you distribute the -5
4c=8-20c
Then add 20c to both sides
24c=8
And divide by 24
C=8/24 or 1/3

Distributing the -5 on the second one gets you
2-k=8-10+5k
Then you combine like terms
2-k=-2+5k
Subtract 5k from both sides
2-6k=-2
Subtract 2 from both sides
-6k=-4
Divide by -6
K=4/6 or 2/3

and lastly the equation is 4p+3=8-5(4p+3)

So you distribute -5
4p+3=8-20p-15
Combine like terms
4p+3=-20p-7
Add 20p to both sides
24p+3=-7
Subtract 3 from both sides
24p=-10
And then divide by 24
P= -10/24 or -5/12

4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70

Answers

Answer:

4 hours

Step-by-step explanation:

Let x = # of hours

22x + 10 = 98

       -10     -10

____________

    22x = 88

           22

x = 4

For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.

Answers

Answer:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = 340

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

The explation of the answer is now given as follows:

Let a represents number of tickets sold in advance. Therefore, we have:

a = number of tickets sold in advance at $3 each

a + 30 = number of tickets sold  at the door at $5 each

The total amount collected can be represented by this equation:

3a + 5(a + 30) = 2630

Solving for a, wee have:

3a + 5a + 150 = 2630

8a = 2630 - 150

8a = 2,480

a = 2,480 / 8

a = 310

Therefore, this implies:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = a + 30 = 310 + 30 = 340

who want head...no but frr?​

Answers

Answer:

I’m ok without it

David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?

Answers

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

A linear function is a function that changes at a constant rate.

David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in sales

The given parameters are:

Flat Salary = $250 weeklyCommission= 5%

A linear function is represented as:

[tex]C(x) = b + mx[/tex]

Where:

b represents the y-interceptm represents the slope

So, we have:

[tex]C(x) = 250 + 5\% \times x[/tex]

Express 5% as decimal

[tex]C(x) = 250 + 0.05 \times x[/tex]

[tex]C(x) = 250 + 0.05x[/tex]

On a sale of $1500, the equation becomes

[tex]C(x) = 250 + 0.05 \times 1500[/tex]

[tex]C(x) = 325[/tex]

Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales

Read more about linear equations at:

https://brainly.com/question/14323743

does 18/24 and 15/20 form a proportion

Answers

Answer: yes

Step-by-step explanation:

when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent

The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10

Answers

Answer:

Here Is Your Answer Less Than 0 But Greater Than 10

is 315/8 rational or irrational

Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it


Please solve this for me! Thank you so much I appreciate you. tpwk

Answers

Answer:

C

Step-by-step explanation:

If you divided 656 into 32 equal parts , each containing a whole number of square miles, how large would each part be? How large would the remaining area be?

Answers

Each part would be 20 square miles and the remaining area is 1/2 of a mile. I’m just going with what the calculator tells me...

A. The rate of change of function A is -2 The rate of B is 8

B. The rate of hangs function A is 1 The rate of change of function B is 8

C. The rate of change of function A is -2 The rate of change of function B is 4

D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4

Answers

D I believe



If it’s not I’m sorry

What is the area of the triangle?
7
5
4

Answers

which number is the height? and which number is the base?

Find the product. Simplify

1/10 times 3/4

A 15/2

B 2/15

C 3/40

D 40/3

Answers

Answer:

C. 3/40 is the answer

Step-by-step explanation:

1/10×3/4

=3/40

Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

Answers

Given:

The function is

[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]

At x=-2,

[tex]f(-2)=\left(\dfrac{1}{3}\right)^{-2}[/tex]

[tex]a=\left(3\right)^{2}[/tex]         [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]

[tex]a=9[/tex]

At x=-1,

[tex]f(-1)=\left(\dfrac{1}{3}\right)^{-1}[/tex]

[tex]b=\left(3\right)^{1}[/tex]         [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]

[tex]b=3[/tex]

At x=0,

[tex]f(0)=\left(\dfrac{1}{3}\right)^{0}[/tex]

[tex]c=1[/tex]         [tex]\left[\because a^0=1, a\neq 0\right][/tex]

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

Answer: below

Step-by-step explanation:

the measure of ∠G is 82°. What is the measure of its compliment?

Answers

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:


MATH LOVERS PLS!!!!!!!

Answers

Answer:
7) C
8) A
9)D
10)B

C=5/9(F−32)


The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?


1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.


2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.


3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.


A) I only

B) II only

C) III only

D) I and II only

Answers

Answer:

D) I and II only

Step-by-step explanation:

Solve.
-2 1/3 - (-5)

Answers

Answer:

2.66666666667

Step-by-step explanation:

Answer: fraction: 8/3

Step-by-step explanation: mixed number: 2 2/3

Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.

Answers

Answer:

3.3 or 10/3

Step-by-step explanation:

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Answers

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

Please help me I’ll give all my coins!

Answers

x = 3



-4 - 5x + 10x + 9 = 20

-4 + 5x + 9 = 20

5x + 5 = 20

5x + 5 - 5 = 20 - 5

5x = 15

5x/5 = 15/5

x=3

Answer:

x=3

Step-by-step explanation:

-4-5x+10x+9=20 ] +4

-5x+10x+9=20+4 ] -9

-5x+10x=24-9

5x=15

15:5=3

x=3

How do I give brainliest I forgot whoever lets me know how I will give them it

Answers

You have two people answer and whoever answer you think is better you can mark them as brainliest

Vertical Angles: Find the Supplementary Angles (photo provided)

Answers

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT

Answers

Answer:

60

Step-by-step explanation:

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer:

Answer:  x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".  For this triangle,

cosx = (side adjacent to angle) / hypotenuse

      =  4                                      / 12

      =   1/3

To find "x" take the inverse cosine of each side to find that :

x  is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

-

Answer: x = 71

yes

Step-by-step explanation:

The ratio of cats to dogs at a pet store is
4:5, which means...

Answers

Answer:

Huhhhhhhhhhhhh 4x and 5x

Good Mornting hru?
3(7)+4(6)=

Answers

Answer:

45

Step-by-step explanation:

im good, u?

Pls help me!!! And thank yiuuu!!!

Answers

Answer:

[tex]\huge\boxed{x = 8}[/tex]

Step-by-step explanation:

In order to solve for x, we need to note a few angle relationships here.

A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.

Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.

[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]

Hope this helped!

3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485

Answers

1x - 13y + 475

Step-by-step explanation:

[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]

3x + 4y - 2x - 2 + 8y - 8 - 25y + 485

3x - 2x + 4y + 8y - 25y - 2 - 8 + 485

1x + 4y + 8y - 25y - 2 - 8 + 485

1x + 12y - 25y - 2 - 8 + 485

1x - 13y - 2 - 8 + 485

1x - 13y - 10 + 485

1x - 13y + 475

HOPE THIS HELPS YOU

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