explain what it means to solve a system of equations

Answers

Answer 1

Answer:

um hope this helps :D

Step-by-step explanation:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

Answer 2

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I

What is a system of equations?

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.

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Related Questions

3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?

Answers

Answer:

$56.70

$132.30

$17.199

$149.499

No

Step-by-step explanation:

Given that:

Regular price of skis = $189

Discount % = 30%

Amount saved = $140

After sales tax = 13%

a. What is the discount?

Discount amount = Regular price * discount %

Discount amount = $189 * 0.30

Discount amount = $56.70

b. What is the new price?

Regular price - Discount amount

$189 - $56.70

= $132.30

c. What is the tax?

Sales tax = new price * tax %

Sales tax = $132.30 * 0.13

Sales tax = $17.199

d. What was the total price of the shoes, after the discount and tax?

New price + sales tax

= $132.30 + $17.199

= $149.499

e. Do you have enough money?

No

$149.499 > $140

what slope line passes through the points (-5,3) and (-3,8)

Answers

Answer:

5/2

Step-by-step explanation:

i aint never seen two pretty best friends, its always one em gotta be ugly

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the slope of a line passing through two given points, we use the formula:

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

where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.

Plugging in the values given, we get:

[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]

Therefore,

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

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A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.

Answers

Answer: The pelican is now at sea level. This would be zero on a number line.

Answer:

Step-by-step explanation:

40 ft - 40 ft = 0

On sea level

which situation could be represented by the equation 15.5 = x/2

Answers

Answer:

C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?

Step-by-step explanation:

The situation in the 3rd option represents the equation, 15.5 = x/2.

Distance driven by Julie to the grocery store = 15.5 miles

Distance driven by Julie back home following the same path = 15.5 miles

Total amount of miles travelled to and fro the store, x, = 2*15.5

This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x

Therefore, the third option represents the equation, 15.5 = x/2.

Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.

Answers

Answer:

(0,-5)

Step-by-step explanation:

my work is in the picture I attached. lmk if you'd like me to explain more :)

Step-by-step explanation:

HELLLLLLLLLLLLLLLLLLLPPPPPPPP

Answers

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω`●)

can I have topics for STEAM (Science, Technology, Engineering, Art, Math) It must be a real-life problem and I have to figure out a solution and the solution must include Science, Technology, Engineering, Art, Math in it. If you have any ideas please help thank you.

Answers

Answer:

See below.

Step-by-step explanation:

I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.

A school set a goal to collect at least $360 from a book sale. They have already collected $180. The school receives $3 for each book sold. Write an inequality to show the number of books the school needs to sell to meet their goal.

Answers

I attached the inequality!
Goal-$360
Already have- $180
They receive $3 for each book bought
$180 x $3 = 540

catie charges an initial amount of $5 for babysitting and the $3 per hour. jolisa does not charge an initial amount but charges $4 per hour. write and solve an equation to find how many hours each girl sill have to babysit to earn the same amount.​

Answers

Answer:

32

Step-by-step explanation:

5+3=8

8x4=32

4x8=32

Calculate the average rate of change for the given graph from x = -2 to x = 0

Answers

Answer: x goes from 0 to 2, y changes from 0 to -2

Step-by-step explanation:


Asher reads 2 books a week. Kyla reads 7 books a month. Sawyer reads 90 book a year. Who
reads more books?

Answers

Answer:

Asher

Step-by-step explanation:

Answer:

Asher reads more books

Step-by-step explanation:

Asher reads 2 books a week wich is about 102 books a year (because there about 52 weeks in a year)

kyla reads 7 books a month wich is 84 books a years

Sawyer reads 90 books a year

Will give brainliest if correct.

Answers

Your answer should come to:

y = -2/3x + 3

Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3

+
6
1

plss help

Answers

Answer:

Step-by-step explanation:

the answer would be 11/12

Leah loves chicken wings and is comparing deals at 4 different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Wing stop has 10 wings for $12. What is the price per chicken wing? Buffalo Bills $1.20 Buffalo Mild Wings $0.85 Wingers $0.87 Wing stop $1.20

Answers

not to mention the value of x is integrated with the bills which makes the equation oosubtibe

Which one is true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to EC/AE
E. the slope of line t is equal to FB/FD
F. The slope of line t is equal to AE/FD

Answers

Answer:

Options (A), (B), (C) and (E).

Step-by-step explanation:

Option (A).

Slope of AC is equal to the slope of BC.

Since, points A, B and C are collinear points,

Slopes of AC and BC will be equal.

True.

Option (B).

Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.

True.

Option (C).

Points A and C are lying on line 't'.

Therefore, slope of line 't' and line AC will be equal.

True.

Option (D).

Slope of 't' = slope of line AC

                  = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                  = [tex]\frac{AE}{EC}[/tex]

False.

Option (E).

Slope of line 't' = slope of line BD

                         = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                         = [tex]\frac{FB}{FD}[/tex]

True.

Option (F).

Slope of line 't' = [tex]\frac{AE}{FD}[/tex]

False.

Nathan drinks 25 cups of coffee over 5 weeks. How many cups of coffee will Nathan drink in 3 weeks?​

Answers

Answer: 15

Step-by-step explanation: 5, 10, 15, 20, 25

Answer:

15 cups of coffee in 3 weeks

Step-by-step explanation:

every week Nathan drinks 5 coffees because if we were to do 25 divided by 5 we get 5, and 5 x 5 is 25, so if we did 5 x 3 we would get 15. the 3 represents the amount of weeks.

can you help me with this I need it done by tomorrow thank you

Answers

Answer:

x = 17deg

Step-by-step explanation:

angle DCE = angle ACB (vertically opposite angles)

therefore,

x + 100 = 4x + 49

3x = 51

x = 17deg

Answer:

X=

Step-by-step explanation:

First you have to divide the shape into to triangles. Triangle CED and triangle ACB.

Second you have to find what angle C is in the triangle ACB. For this you'll have to:

Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.

The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex].  a and b are adjacent and c is hypotenuse.

When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy

1 2/3 × 2 5/8 Give your answer as a mixed number in its simplest form.

Answers

Answer:

4 3/8

Step-by-step explanation:

hope this helps

If $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount in the account after 15 years?

Answers

Answer:

Step-by-step explanation:

I = prt

I = 800 × 1.8% x 15

I = $216

Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!

Hope this helps, please mark as brainliest! :)

FREE BRAINLY! What is the equation of the line perpendicular to the line y = -3 and passing through the point (2, -1)?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We want the equation of the line perpendicular to y=-3.

Notice that y=-3 is a horizontal line.

Therefore, in order to be perpendicular, our new equation must be vertical.

We know that it must pass through the point (2, -1).

Since it must be vertical, it must pass through the x-coordinate.

Therefore, our line must be:

[tex]x=2[/tex]

It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.

Answer:

x=2

Step-by-step explanation:

PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?

Answers

Answer:

Right.

Step-by-step explanation:

The answer is right on edge2020 I just took the test.

The direction in which the parabola will open is; To the right

What is the equation of a parabola?

We are given;

The vertex of the parabola is at (0, 0)

Directrix of the parabola is x = -4

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

Thus, we can conclude that the parabola opens towards the right.

Read more about Parabola at; https://brainly.com/question/17987697

The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?

Answers

Answer:

$129.6

Step-by-step explanation:

just use ur calculator i think

Answer:

$129.60

Step-by-step explanation:

8 percent of 120 is 9.6

9.6+120=129.6

find the total cost or sale price to the nearest cent and write your answer with a dollar sign

$2,500 jet ski; 6.5% tax

Answers

Answer:

$2662.5 is the answer in my opinion

Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.

Answers

Answer:

It takes 10 weeks to spend each $500

Step-by-step explanation:

If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks

To make it to 500 dollars we would have to use the equation 100x5.

This equals to 500

We could also do 100 plus 100 plus 100 plus 100 plus 100.

Solve: -2+x=4 Please please answer quickly

Answers

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin

Answers

Answer:

30

Step-by-step explanation:

Work backwards:

6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30

Check your work:

2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left

PLZ HELP ME IF YOU ARE A MR.BEAST FAN. The sum of 7 and 5 times a number is 48. What are the two numbers? What is the equation and the solution of the question.

Answers

Answer:

I´m not a Mr. Beast fan but the answer is 4. 4*12 (which is the sum of 7 and 5) = 48

The equation is (7+5)x=48

Answer:

i am a big fan here is the answer  (7+5)x=48

Step-by-step explanation:

HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation

Answers

The total cost is $635.

An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.

La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes

Answers

Answer:

A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.

Step-by-step explanation:

Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:

134,81/24=5,61

Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:

24-5,61=18,39

De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.

Daisy filled a bucket with 7/6 gallon of rain.water.
later she poured out 1/6 of gallon of of the water. how much water is left in the bucket?​


I'll mark you brilliantest

Answers

A gallon or 6/6 gallon
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