Find three solutions to the linear equation 4x+y=20 ​

Answers

Answer 1

Answer:

[tex](0,20),(1,16),(2,12)[/tex]

Step-by-step explanation:

[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]

[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]

[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]


Related Questions

The scale of a map of Florida is 2 cm = 3 miles. If the distance between Apopka and Orlando on the map is 12 cm what is the actual distance?

Answers

Answer:

18 miles

Step-by-step explanation:

2cm=3 miles

12cm=18 miles

You multiply both sides by 6,

I'LL GIVE BRAINLIEST

The graph of a function is shown. Write a scenario that could be represented by the graph.

Answers

Answer:

This graph is an exponential graph, and can model the spread of CO V ID-19

Step-by-step explanation:

This graph increases exponentially, and can be used to model the spread of COVI D 1 9. Co vid  started slowly, but ramped up. Another mathematical equation it can describe is y=x^3

Rewrite the following equation in slope-intercept form.

9x − 20y = 15


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer: y=9x/20 - 3/4

Step-by-step explanation:

A soccer league has 25 sixth graders, 20 seventh graders, and 15 eighth graders. What is the ratio of 8th graders to 7th graders? ***Write your answer in FRACTION form.

Answers

3/4. 3 is the numerator while 4 is the denominator

Is - 4 the absolute value of 3 - 7? Explain.

Answers

Answer:

No

Step-by-step explanation:

This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?

There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

As per the given question,

There - 4 is not the absolute value of 3 - 7,

This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.

Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Learn more about the absolute value here:

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What kind a of quadrilateral is LFGA?
Trapezoid
Rhombus
Square
Rectangle

b) Are triangles LFE and AGT congruent? Explain why or why not?

c) What is the length of EF?

d) What is the length of LF?

Answers

Answer:

LFGA is a rectangle

B) yes they are

Since lf=ag

LFE=AGT

AT=LE

SO THEY ARE CONGRUENT HAVING 2 EQUAL SIDES AND ONE RIGHT ANGLE

C) ef =gt

(U have to prove them before)

D) LF is equal to AG

Since in a rectangle the h times base

Layla invests money in an account paying a simple interest of 6.4% per year. If she invests $120 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?

Answers

Answer:

$127.68

Step-by-step explanation:

Rate= 6.4%

Principal= $120

Time = 1 year

Required

The final amount A

Step two

A=P(1+rt)

substitute

A=120(1+0.064*1)

A=120(1.064)

A=120*1.064

A=$127.68

Hence the final amount is $127.68

HELP URGENT 20 POINTS WILL MARK BRAINLIEST

Answers

Answer:

80 miles in 4 hours

Step-by-step explanation:

fx = 20x-80

20x=80

20x/20=80/20

x = 4

please help asap!' 9th grade math!!

Answers

2x + 3y = 9
3y = -2x + 9
y =-2/3+3


5x + y = - 10
y=-5x-10

5x - y = 7
- y = - 5x + 7
y = 5x - 7

slope is 5/1

y intercept is -7/1

Hi, I've noticed that a lot of people here lie about the correct answers to problems. I understand if you just really don't know and accidentally told the wrong answer but otherwise, it is unacceptable. People can fail important tests because some people thought it would be funny to joke about the answer. Does making other people fail make you happy?

Do you need to push others down to make yourself feel good? Most subjects are ok but its hard to find good reliable answers for social studies. People can get bad scores that lowers their self esteem because you think that the only way to make your self feel good is to see others fail. Please be aware of this. Repost.

Lets help everyone succeed, thanks!

Answers

Answer:

Step-by-step explanation:

Hey remember it me again


Mark went to the sandwich shop. He had a choice of 2 types of bread, 3 meats, and 3 drinks. How many different combinations did he have?

Answers

B(Bread) D(Drink) M(Meat)

B1+D1+M1
B1+D1+M2
B1+D1+M3
B1+D2+M1
B1+D2+M2
B1+D2+M3
B1+D3+M1
B1+D3+M2
B1+D3+M3

B2+D1+M1
B2+D1+M2
B2+D1+M3
B2+D2+M1
B2+D2+M2
B2+D2+M3
B2+D3+M1
B2+D3+M2
B2+D3+M3

Making there be 18 different combinations.


can y’all help me with this is due today at the end of the day

Answers

Answer:

slope = 2.5 y intercept = 5

Step-by-step explanation:

the slope represents how much it cost to rent the bike per hour and the y intercept represents a fee that you pay when you rent the bike.

Answer:

m/slope=1/2. For every two hours more of the bike being rented, the price rises 5 dollars.

Step-by-step explanation:

who is in the range of 18 to 24 years of age that can help me with an issue.

Answers

Answer:

What is it?

Step-by-step explanation:

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour.

a. What is the ratio of water to flour?

b. If the recipe is increased to use 6 cups of flour, how much water should be used?

c. If the recipe is decreased to use 2 cups of water, how much flour should be used?

Answers

Answer:

6 to 4

Step-by-step explanation:

The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.

⦁ Katelyn is making a set of three candles for her friend for Christmas. If the candles have a radius of 1 inch and a height of 4 inches, how much wax will she need to do all three candles?

Answers

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  [tex]\pi[/tex][tex]r^{2}[/tex]h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4

                                      = [tex]\frac{22}{7}[/tex] x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.

pretty easy freshman math i just don’t really know what the answers are

Answers

Answer:

3no reason is given

4no both are 90 degree

6no by SAS axiom

5(7r - 2) - 12
Simplify it out plzz​

Answers

Answer:

I think it's 7r-14

Step-by-step explanation:

It says "eliminate redundant parentheses"

Then "subtract the numbers"

And then the solution should be what I put as the answer

Answer:

5(7r - 2) - 12 = 35r - 22

Step-by-step explanation:

First you want to do the mailman (it's what I called it in school) so take 5*7r which is 35r and do 5*(-)2 which is -10. So far the equation looks like this:

35r - 10 - 12

So now you subtract -10 from -12 and since they are both negative numbers it will be -22. So it's 35r - 22

5(7r - 2) - 12

35r - 10 - 12

35r - 22

I hope this helped!!

How do I solve this? ​

Answers

Answer:

f^-1(x) =x^3/2-3/2

Step-by-step explanation:

to find the inverse, interchange the variables and slove for y

what is the part of math sentences whose value is always the same, represented by a numeral.

Answers

Answer:

the part of math sentence whose value is always the same, represented by a numeral. Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Sally is seeking a loan with a simple interest rate of 8% per year. If she wants to
borrow $5,000, then how much will she be charged in interest for 2 years.

Answers

The correct answer is 800

NEED HELP ASAP!!!!

What is BC ?
B
4x + 1
А
3x -8
Enter your answer in the box.
2x + 23
BC = units

Answers

Answer:

i think its 3x-8 not sure

Combine like terms to write an equivalent expression for 9y−7y.

Answers

Answer:

[tex]2y[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\9y-7y\\We\ observe\ that\ the\ terms\ 9y\ and\ -7y\ share\ a\ same\ algaebraic\ co-\\ effecient\ due\ to\ which\ they\ are\ like\ terms.\\Hence,\\9-7y\\=9y+(-7y)\\By\ applying\ distributive\ property\ of\ addition:\\9y+(-7y)=(9+(-7))y=2y[/tex]

Kory and two of his friends are going to rent a 3 bedroom apartment for $960 a month. The security deposit is $400 and the pet deposit is $260. In addition to the deposits, Kory and his friends must pay first and last month's rent. If they split the cost evenly, how much will each pay to move in?

Answers

Answer:$773.33

Step-by-step explanation:

Solving systems of linear inequalities

Answers

No (4,11) it’s a solution of the system

Answer:

No

Step-by-step explanation:

if x=4 and y=11...

this would mean

11 is less than or equal to 2(4)

11 > 4+3

A large company states in their promotional literature that 80% of their employees have college degrees. If 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?

Answers

Answer: 0.32768

Step-by-step explanation:

Let x= number of employees have college degree.

Binomial probability formula :

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p probability of success in each trial , n= sample size, x= number of successes.

As per given , p =0.80 , n= 5 , x=5

[tex]P(x=5)=\ ^5C_5(0.8)^5(0.2)^{0}= (1)(0..8)^5(1)\ \ \ [\ ^nC_n=1]\\\\= 0.32768[/tex]

Hence , the probability that all 5 will have college degrees = 0.32768

Answer:

B) 0.3277 on Edge

Step-by-step explanation:

The other person was almost right, but Edge rounds it.

How to put 1/25 as fraction simplified

Answers

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

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In selling an antique vase for 80 a dealer made a profit of 60%of the cost price what was the cost price

Answers

Answer:

Step-by-step explanation:

cost price x .60 = 80

80/.60 = 133.33 was the cost price

HELP A GIRL OUT MY BRAIN IS HURTING
even tho this is easy

Answers

Answer:

24 grams are not water 100 - 76 = 24

The cost of 15 litres of petrol is £12 Work out the cost of 20 litres of petrol

Answers

Answer: 20 L = 16£

Step-by-step explanation:

12£ : 15 = 0.8p per L

0.8p x 20 L = 16£

what is halfway between 8.79 and 8.80?

Answers

Answer:

8.795

Step-by-step explanation:

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