During a phone call about the system of equations {5x + 2y = 8 , 8x + 4y = 8}, Dylan told Max, “It’s easy, just set them equal to each other.” But Max replied, “That doesn’t help — I get −2y = 3x. What good is that?” Help these two students solve the problem.

Answers

Answer 1

Answer:

x = 4

y = -6

Step-by-step explanation:

5x + 2y = 8

8x + 4y = 8

-2(5x + 2y) = -2(8)

8x + 4y = 8

-10x -4y = -16

8x + 4y = 8

-10x -4y + 8x + 4y = -16 + 8

-2x = -8

x = 4

plug 4 into x so y = -6


Related Questions

What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?

Answers

Answer:

26,160.00

Step-by-step explanation:

24,000 + 9% = 26,160.00

Have a wonderful day! Dream a good dream of good people. :)

Answer:

The answer is

$26,160

Step-by-step explanation:

In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.

So,

24,000

+ 9%

‾‾‾‾‾‾‾‾‾‾

26,160

Therefore, 26,160 is the correct answer for your problem.

can someone help me with this ?

Answers

Answer:

yes I can help you with this but I don't know it

Calculate the capacitance between two parallel plates of area s and separation of d

Answers

What do you mean I don’t understand

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

What is capacitance?

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

To know more about capacitance click the link given below.

https://brainly.com/question/14746225

#SPJ4

(PLS HELP QUICK POINTS)

A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.

Answers

Answer:

Step-by-step explanation:

To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.

Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall

Answers

Answer:

4 dollars per friend

Step-by-step explanation:

So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48

48 is how much the 4 friends paid

If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend

Help please I would appreciate ​

Answers

Answer:

66 (no other answer)

Step-by-step explanation:

The number can be divided by 2 so its even. Its a multiple of 11. It is between 20 and 79. it is a multiple of 3.

The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?

Answers

Answer:

606 MPH

Step-by-step explanation:

4848/8=606

Answer:

606 mph

Step-by-step explanation:

i did 4848 divided by 8


In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011

Answers

Answer:

90 students

Step-by-step explanation:

So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.

Answer:

hello

2010 = 100 students

2011 = 100 x 0.9 = 90

2012 =  90 x 1.1 =  99  

Step-by-step explanation:

2/5 10+36-6 ................... HELP PLEASE

Answers

Answer:

if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16

Step-by-step explanation:

add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you

find the value of x in the triangle shown below

Answers

Answer:

D

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = [tex]\sqrt{17}[/tex]

Answer:

√17 (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be BC, where BC is the Perpendicular.

8 be AB, where AB is the Base.

9 be AC, where AC is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]

[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]

Therefore,

The value of x is √17 .

what is 60 divided by 4?

Answers

Answer:

The answer is 15

Step-by-step explanation:

help me!!!!Determine the value of each car after 5 years.

Answers

I believe it would be $1458

A skydiver in a computer game free-falls from a height of 3000 meters at a
rate of 55 meters per second. Which equation can be used to find the
height of the skydiver after tseconds?

Answers

h= -55t + 3000. Hope this helps!

A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

How many fluid ounces of milk were used during the class?


10 fl oz

23 fl oz

49 fl oz

101 fl oz

Answers

Answer

C. 49 fl oz

Step-by-step explanation:

I took the quiz.

Find the area of the circle

Answers

Step-by-step explanation:

78.50 in^2 I am pretty sure

Answer:

78.50 in squared

Step-by-step explanation:

To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.

1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?

Answers

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

How to find the surface area of a rectangular prism

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = lengthw = widthh = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:https://brainly.com/question/27161212

Constants are numbers without letters attached.
What is the constant in the equation x/2 - 3?


answers:
2
-3

Answers

Answer:

constant = - 3

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] - 3 = [tex]\frac{1}{2}[/tex] x - 3

the number without letters attached is the constant - 3

Answer:

-3

Step-by-step explanation:

The answer is -3 because 2 has a letter attached to it which is x/2 -3 is without a letter.

hope dis helps):

Help asap
photo attached
the function f has a continuous derivative. if f(0) = 1, f(2) = 5 and integral from 0 to 2 f(x) dx = 7, what is integral from 0 to 2 x • f’(x) dx?
a. 3
b. 6
c. 10
d. 17

Answers

No photo attached, but no need.

We're given that f(0) = 1 and f(2) = 5, and that

[tex]\displaystyle \int_0^2 f(x) \, dx = 7[/tex]

Integrate x f'(x) by parts, with

[tex]u = x \implies du = dx[/tex]

[tex]dv = f'(x) \, dx \implies v = f(x)[/tex]

Then

[tex]\displaystyle \int_0^2 x f'(x) \, dx = uv\bigg|_{x=0}^{x=2} - \int_0^2 v \, du \\\\ = x f(x) \bigg|_{x=0}^{x=2} - \int_0^2 f(x) \, dx[/tex]

Now just plug in everything you know:

[tex]\displaystyle \int_0^2 x f'(x) \, dx = 2f(2) - 0f(0) - \int_0^2 f(x) \, dx = 10 - 0 - 7 = \boxed{3}[/tex]

A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?

Answers

Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

Answer:

chaupapi

\\

Step-by-step explanation:

A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?

Answers

A finite, nonzero area formed by the lines would have a fixed measurement

The number of separate region that have a finite, nonzero area is 64

How to determine the number of separate regions?

The given parameters are:

Horizontal lines, h = 9Vertical lines, v = 9

The number (n) of separate region that have a finite, nonzero area is calculated as:

n = (h - 1) * (v - 1)

This gives

n = (9 - 1) * (9 - 1)

Evaluate the product

n = 64

Hence, the number of separate region that have a finite, nonzero area is 64

Read more about lines at:

https://brainly.com/question/16227509

NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: Altitude

Step-by-step explanation:

Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.

Answers

- Surveying the boys in the freshman class is biased. It doesn’t take a sample from all of the school, it is from only one grade and one gender.

-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.

-Students in her math class is biased- it only considers those in a certain class, not everyone.

-20 from each grade at random is NOT biased, it considers every grade and 20 random students.

-Chess club is biased. Only students in one particular group get to answer. Hope this helps!

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.

Answers

A is the correct answer because it is adding the amount of money and pound multiplied + the other which is accurate to equal 24. the answer would be 3 x 6 + 2 x 3 = 24, 3 x 4 + 2 x 6 = 24, and etc

Select all ordered pairs that could be added to this relationship and keep it a function:

(-2, -5) (0, -1) (1, 1) (4, 7)

Answers

Answer:

that's 4 and 7 .............

Find the area of the parallelogram

Answers

Answer:

30.42 in^2.

Step-by-step explanation:

Find the height:

sin 45 = 1/√2 = h/7.8

h = 7.8 /√2

the base = height = 7.8 /√2

Area = h * b

= (7.8 /√2)2

= 30.42.

Solve the equation k^2-6k=11 by completing the square

Answers

Answer:

k = ±2√5 + 3

Step-by-step explanation:

k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3
Answer:

[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]

Step-by-step explanation:

[tex]k^2-6k=11[/tex]

_______________________________________________

Add one term in order to complete the square

[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]

________________________________________________

Calculate

[tex]k^2-6k+3^2=11+3^2[/tex]

_________________________________________________

Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex]

[tex](k-3)^2=11+3^2[/tex]

__________________________________________________

Calculate the power

[tex](k-3)^2=11+9[/tex]

___________________________________________________

Calculate the sum or difference

[tex](k-3)^2=20[/tex]

______________________________________________________

Split into two equations

[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]

________________________________________________________

Move variables to the left side of the equation:

                                 [tex](k-3=\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]

____________________________________________________

Move variables to the left side of the equation:

                               [tex](k-3=-\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

So far:

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

Find the union of the solutions

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

I hope this helps you

:)

find the value of x in the triangle shown below

Answers

the answer is c (x=15)...

[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

Option C ✓

[tex] \underline{\rule{100mm}{3.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Find the roots of the factored polynomial. (x–3)(x–9) Write your answer as a list of values separated by commas.

Answers

x^2 - 9x - 3x + 27

x^2 - 12x + 27

I think of a number multiply it by 2, subtract 3 and multiply by 4

Answers

Step-by-step explanation:

(2x - 3)×4

random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.

Which point on the number line is at 58/100

Answers

Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

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