The lines represented by the equations 25y- 20x=100 and 5y - 4x = 20 are

The Lines Represented By The Equations 25y- 20x=100 And 5y - 4x = 20 Are

Answers

Answer 1

Answer:

The system of equations represent the same lineB

Step-by-step explanation:

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system of the equations represent the same linea = d, b = e, and c ≠ f, then the system of the equations represent two parallel linesa ≠ d, and/or b ≠ e, and/or c ≠ f, then the system of the equations represent two intersecting lines

∵ The one line represented by the equation 25y - 20x = 100

→ Divide the terms of the equation by 5 to simplify it

5y - 4x = 20 ⇒ (1)

∴ a = 5, b = -4, c = 20

∵ The other line represented by the equation 5y - 4x = 20 ⇒ (2)

∴ d = 5, e = -4, f = 20

→ Compare the two equations

a = d, b = e, c = f

→ By using the 1st case above

The system of equations represent the same line


Related Questions

What are the steps for simplifying an expression with exponents

Answers

Answer:

Step-by-step explanation:

1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2- the exponent rule to remove grouping if the terms are containing exponents.

3- Combine the like terms by addition or subtraction.

4- Combine the constants.


Erika bought a piece of furniture for $450. If
the sales tax was 6.25%, how much did she
pay in sales tax?

Answers

Answer:

$28.13

Step-by-step explanation:

english: 6.25% of $450

math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded

Helppppp me thank you

Answers

Answer:

y = 5/6x + 4

Step-by-step explanation:

y = mx + b

b = 4 because when x = 0, y = 4

m  = (y2 -y1) / (x2 - x1)

where two points on the equation are (x1, y1) & (x2, y2)

Let's pick points (6,9) & (-6,-1)

m = (-1 - 9) / (-6 - 6)

m = -10 / -12 = 5/6

Please answer these for a lot of points don’t scam me or I will report you a lot!

Answers

Answer:

t = total money spent

t = $2.99g + $3.25c

for b just plug in g and c

$2.99(7.9) + $3.25(4)

if you put it into a calculator you get that he spent a total amount of $36.62 for the 7.9 gallons of gas and the 4 cans of oil. (:

Answer:

A=45 + 15 + 30 = 90 B=15 (for both spaces) C= Pencils=3 boxes a crayons=1 erasers per bag=2 D= 12 pencils in a pack and 3 in a supply kit.

Step-by-step explanation:

That's it!

3.Mr. Lewis is buying art supplies for his students. For this project, he can spend no more than $50.00.
He has to buy one quart of paint for $8 and then one art kit for each student. The kit costs $3 each.
How many students can do this art project?

Answers

Answer: 14 students

Step-by-step explanation:

50,00-8.00= 42.00       42.00/3.00=14.00

Answer:

Step-by-step explanation:

can someone help i know you looking

Answers

Answer:

A

Step-by-step explanation:

We know a number is an expression when it is:

1) NOT greater/ less than something else

2) NOT equal/ not equal to something else

The only answer choice that satisfies the above is A.

4(х – 1) = 3х – 1
what is x

Answers

Answer:

x=3 hope I helped you! :)

There are 27 cupcakes. Nine are chocolate, 7 are
vanilla and the rest are strawberry. What is the
ratio of chocolate & strawberry cupcakes to
vanilla & chocolate cupcakes?

Answers

Answer:

9/11 = 7/9

Step-by-step explanation:

9 are chocolate

27 - 16 = 11

7 are vanilla

20:16

Step-by-step explanation:

9 chocolate

7 vanilla

11 strawberry

9+11=20, 9+7=16

Use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant factor.

Answers

Answer:

I had a slightly different question, but I think its option D

(x - 3)(x + 3)

Easy question pls anwser

Answers

Answer:

A, C, D

Step-by-step explanation:

Since 15 is a positive integer, it can be represented in positive situations.

15 students add classes to schedule. = 15

15 points are taken away. = -15

15 point are given. = 15

15 dollars has been added to your salary = 15

15 dollars have been taken from your salary = -15

Answer:

a,b,c

Step-by-step explanation:

Work out the value of angle x.
x
110%
Help:(

Answers

Answer:

40°

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 110 = 70

As it's an isosceles triangle the opposite angles are the same

70 + 70 = 140

180 -140 = 40

Answer:

Step-by-step explanation:

180-110=70

x+70+70=180

x=180-140=40°

I need help I will give brainiest​

Answers

Answer:

The one on top is no solution and the one on bottom is one solution

Answer:

the top one has no solution

Step-by-step explanation:

If a sphere of ice cream that was 2.5 inches in diameter was placed on top of the ice cream cone that had a height of 4 inches and a diameter of 1.75 inches and left to melt directly into the cone, would the all of the ice cream fit into the cone? Justify your answer using mathematics and a complete sentence answer.

Answers

Answer:

The cone would not the all of the ice cream fit into the cone.

Step-by-step explanation:

Geometrically speaking, the volume of the cone ([tex]V_{c}[/tex]), measured in cubic inches, is described by the following equation:

[tex]V_{c} = \frac{\pi}{3}\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Base radius, measured in inches.

[tex]h[/tex] - Height, measured in inches.

And the ice cream ball is described by the volume equation for the sphere ([tex]V_{s}[/tex]), measured in cubic inches:

[tex]V_{s} = \frac{4\pi}{3} \cdot R^{3}[/tex] (2)

Where [tex]R[/tex] is the radius of the ice cream ball, measured in inches.

In this case, the ice cream will fit into the cone if and only if [tex]V_{s} \le V_{c}[/tex]. That is:

[tex]\frac{4\pi}{3}\cdot R^{3} \le \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]

[tex]4\cdot R^{3} \le r^{2}\cdot h[/tex]

If we know that [tex]r = 0.875\,in[/tex], [tex]h = 4\,in[/tex] and [tex]R = 1.25\,in[/tex], then the inequation is:

[tex]4\cdot (1.25\,in)^{3}\le (0.875\,in)^{2}\cdot (4\,in)[/tex]

[tex]6.25\,in^{3}\le 3.063\,in^{3}[/tex] (CRASH!)

Which leads to an absurd. Hence, the cone would not the all of the ice cream fit into the cone.

The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?

Answers

Answer:

108 degrees difference.

Step-by-step explanation:

63+45=108

Answer:

108

Step-by-step explanation:

45--63=108

Hope you have a great day!

Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations) Pencils: 0.75 each erasers: 0.25 each

Answers

Answer:

1.25 is what she spent so she got 5 pencils

Step-by-step explanation:

Given M BC equals 38° and M

Answers

=62 the arcs of the angle are subtracted and divided by 2

what is the value of k
-3(k+7)- 5k +4 = 23
a.) k=5 b.) k=-1 c.) k=5 d.)k=1

Answers

Answer:12.567

Step-by-step explanation:

PLS HELP WILL MARK U BRAINLIEST

Answers

they are identical lines so they have infinity pairs

Please helpppp
Find the value of x. Your answer must be
Exact

Answers

Answer:

x = 8

Step-by-step explanation:

sin (30) = 4/x => solve for x.

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:

[tex]sineX=\frac{opposite}{hypotenuse}[/tex]

Insert the values:

[tex]sin30=\frac{4}{x}[/tex]

Multiply both sides by x:

[tex]x(sin30)=x(\frac{4}{x} )\\\\x*sin30=4[/tex]

Divide both sides by sin30°:

[tex]\frac{x*sin30}{sin30} =\frac{4}{sin30}\\\\x= \frac{4}{sin30}[/tex]

Insert the value of x into a calculator:

[tex]x=8[/tex]

OR:

The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:

[tex]long.leg=short.leg*\sqrt{3}\\\\hypotenuse=short.leg*2[/tex]

The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:

[tex]h=4*2\\\\h=8[/tex]

Therefore, the value of x is 8.

:Done

Can someone plz help me on mixed numbers plz

Answers

Answer:

The answer 3/4

Step-by-step explanation:

Answer:

\frac{3}{4}

[tex]convert \: the \: mixed \: numbers \: into \: a \: fraction frac{9}{4} - \frac{3}{2}

applying the fractions formula for subtraction

(9 \times 2) - (3 \times 4) \\ 4 \times 2 \\ = 18 - 12 \\ 8 \\ = \frac{6}{8} \\ then \: diide \: each \: number \: by \: 2 \: and \: get \\ \: \frac{3}{4}

What are the 5 positive integers that have a mode of 2 and 4, a median of 4 and a mean of 5

Answers

Answer:

10 i belive

Step-by-step explanation:

Hence, the five positive integers are 2, 2, 4, 4, 13.

What is a mean , median and mode?

Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.

Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.

Step by Step Solution:

According to the question , it can be concluded that the total no. of observations are 5.

So , Let n=5

Let  the integers be a, b, c, d and e

The question says that mode(s) are 2  and 4.

This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.

Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.

Hence , it becomes , a=2 , b=2 , c=4 , and d=4

Hence we can say that out of five required integers ,four of them are 2 and 4.

Further , we are given that mean is 5.

therefore , using formula:

Mean = Sum of Observations / Number of observations(n)

Mean=  (a+b+c+d+e) / 5

5 = (2+2+4+4+e) / 5

5 = (12+e)/5

Multiplying both sides by 5 , we get :

25 = 12+e

e=25-12

Hence , e = 13

So,  the five positive integers are 2, 2, 4, 4, 13.

Learn more about Mean , Mode and Median at:

https://brainly.com/question/12051754

#SPJ2

SUPER EASY FOR POINTS!!!!solve: x-3=3x-2

Answers

Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

2

= -0.5

what is the range of the function f(x)=7-3x when the domain is {-4, -2, 0, 2}?

Answers

Answer:

{19,13,7,1}

Step-by-step explanation:

Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:

How can you determine whether salt water is a solution or a compound?

Answers

Answer:

In the comments

Step-by-step explanation:

Can someone help please?

Answers

Answer:

y = 1.5x + 1

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:

15) The equation to find the sum of interior angles is

(n - 2).180

which means that a polygons interior angles will always be a multiple of 180 because they are multiplied by it.

Write down in terms of n

Answers

Answer:

a) -2n+14

b) -5n+30

Step-by-step explanation:

negative because it goes down, any other questions im here to help

Twenty-four is ___% of 80

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i really don't have a method for this, just try a number you think is close, go up, or down depending on the number

I have to solve this system equation by graphing. by the way the equation is all in one,not separate​

Answers

This system equation is not solution

Evaluate the expression: 25
A.
2·5
B.
2·2·2·2·2
C.
2·2·2·2
D.
2+2+2+2+2

Answers

Answer:

None of those are correct because none equal 25

Answer:

none

of them equel 25 on edge 2021

Step-by-step explanation:

Other Questions
what is quarts and gallons?Convert 5 quarts to gallons.NO SPAM!!!!!! The Shang dynasty weapons were strong but i cant find out which matiriels they made it from can someone explain capulets and montagues rivalry in act 2 of romeo and juliet thank you A force of 25 newtons east and a force of 25newtons west act concurrently on a 5.0-kilogramcart. What is the acceleration of the cart?A. 0 m/s2B. 0.20 m/s2 eastC. 1.0 m/s2 westD. 5.0 m/s2 east PLS HELP ASAP THIS IS DUE IN 10 MINUTES I NEED NUMBER 3, 4 AND 5! Someone please help me 2 1/2 divided by 3/4? A bag contains 12 marbles, of which 3 are white.What is the probability that a randomly selected marble will be white?Write your answer as a fraction or whole number. When someone uses libel law as a weapon to prevent speech from occurring, it is generally referred to as: please help ill give brainlist Tom went to a shop where there was a 20% off sale taking place. The shirt he wanted to buy was originally 20$. How much money does he save in the sale (step by step please) What purpose did the ghettos serve during the Holocaust?They were barracks where poor and sick people in Germany were sent to live.They were living compounds built by the Nazis to house and kill Jewish people.They were camps where socialists and political prisoners were forced to be laborers.They were holding centers where Jewish people lived until they were sent to concentration camps. Maritza counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3? The area of a rectangular knitted blanket is 10x squared minus 11x minus 6. What are the possible dimensions of the blanket? Use factoring. What body parts are you likely to see in a fossil in sediment?Group of answer choicesskinbones and teethmuscleseyeball No CalculatorsQuestion 11 ptsA baseball team is having an opening night ticket sale and all tickets are 25% off. What isthe discounted amount if the original ticket price is $85?O $25.000 $21.25O $2.13$2.50 Y=1/3x+2slopey-intercept = What is the circumference of a circle whose radius is 20 feet? Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium andWilliam is 334 miles away from the stadium. Lily is driving along the highway at aspeed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let Lrepresent Lily's distance, in miles, away from the stadium t hours after noon. Let Wrepresent William's distance, in miles, away from the stadium t hours after noon.Write an equation for each situation, in terms oft, and determine the interval ofhours, t, for which Lily is closer to the stadium than William. 5) What image is created by the the following excerpt from Dr. King'sspeech? "... manacles of segregation and the chains of discrimination..." -*D) image of slavery with people in chainsO B) image of people in povertyA) image of intense heat and hungerC) image of freedom and peace