for the equation x + y = 3. How many possible values for x are there if x and y are both whole numbers?

A.2
B.3
C.4

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Because it is 2+1 and 3+0, those are the only solution, therefore A is correct

Answer 2
Answer: C) 4

======================================================

Explanation:

The set of whole numbers is {0, 1, 2, 3, ...}

So we include 0 and any positive number that doesn't have decimal or fractional components to it. Negative values are not included.

If we plug in x = 0, then x+y = 3 solves to y = 3If we plug in x = 1, then x+y = 3 solves to y = 2If we try x = 2, then x+y = 3 solves to y = 1Lastly, x = 3 leads to y = 0

Whatever you pick for x, the y value must add to it to get 3. Both x and y must be numbers from the set of whole numbers.

There are four cases shown in the bullet points above, so we have four different solutions. We can't move onto x = 4 because the y solution would be y = -1, but -1 is not in the set of whole numbers.


Related Questions

A turtle traveled
1/10 miles in 1/2 hour. What was the turtle's rate in miles per hour?

A: 1/20
B: 1/12
C: 1/6
D: 1/5


Answers

2/10 ———> simplified is D. 1/5

The turtle's rate in miles per hour is 1/5 miles/hr.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a turtle traveled 1/10 miles in 1/2 hour.

Rate is defined as the distance travelled in a unit hour {1 hour}.{R} = x/t.

We can write the rate as -

{R} = (1/10)/(1/2)

{R} = (1/10) x 2

{R} = 1/5 miles/hr

Therefore, the turtle's rate in miles per hour is 1/5 miles/hr.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Does anyone know this?

Answers

Answer:

obtuse scalene

Step-by-step explanation:

Answer:

Obtuse Scalene

Step-by-step explanation:

all the sides have different numbers

Suppose that you plan on taking a dimmer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 225 magazine subscriptions?

Answers

Answer:

$1243.75

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

What is the slope of the line represented by the equation 3x+4y= 1/2? –4/3 –3/4 3/4 4/3.

Answers

Answer:

-3/4 is the slope

Step-by-step explanation:

3x + 4y = 1/2

4y = -3x + 1/2

y = -3/4x + 0.125

m = -3/4

Find the variables.
(x - 10)
104°
X=I

Answers

Answer: 114 Degrees

Step-by-step explanation: Add 10 to 104 and there is X and I is equivalent to X.

A dealer paid kshs 240,000 to an agent as commission for sale of a car .The commission was 3 percent of the car price how much money did the dealer remain with from the sale of the car if he also had to pay the government v.A.T at 16 percent of the total car

Answers

Answer:

kshs 6,480,000

Step-by-step explanation:

Since, kshs 240,000 represent the 3% of the car price, you can use a rule of three to calculate the amount that represents 100%:

240,000 →   3%

     x       →  100%

x=(240,000*100)/3

x=8,000,000

So, the price of the car is kshs 8,000,000 and you can calculate the 16% of this, to find the amount that the dealer had to pay as government V.A.T:

8,000,000*16%=1.280.000

Now, you can subtract the comission and the government VAT from the car price:

8,000,000-240,000-1,280,000=6,480,000

According to this, the answer is that the dealer remained with kshs 6,480,000 from the sale of the car.

HELP!! This is for my math, Picture added.

Answers

Answer:

x=3, x=[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

2x^2-x-15=0

2 times -15 equals -30, so plug in 5x and -6x for -x

2x^2-6x+5x-15  factor,

2x(x-3)    5(x-3)

x-3=0      2x-5=0

x=3    x= -5/2


Identify the slope and y-intercept from the following equation.

Answers

Answer:

The slope is 2/5 and the y intercept is -4

Step-by-step explanation:

The slope is always the coefficient to x

Answer:

slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4

The product of two consecutive integers is 19 less than their sum.
What equation represents the statement above? ​

Answers

Answer:

is there any choices?

Step-by-step explanation:

Which of the diagrams below represent a function from X to Y

Answers

Answer:

d

Step-by-step explanation:

because it is a one to one relation

The answer is d., its the only one that isnt x to 2 y's or y to 2 x's

HURRY LOTS OF POINTS!!

Answers

Answer:

they are going to half to sell 100 tickets. 5 times 100 is 500

Step-by-step explanation:

pls make me brainliest

Answer:

500

Step-by-step explanation:

is -9/3 a rational number

Answers

Answer:

no

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: The rational numbers include all positive numbers, negative numbers, and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals, and repeating decimals are all rational numbers.

How do I do this I tried and still don’t get it

Answers

Answer:

y=0

y=2

y=4

y=6

y=8

next your y's is

0

1

2

3

4

Your x,y is

0,0

1,2

2,4

3,6

4,8

Explanation

So for each X you must multiply by 2

to find your Y

what is the opposite of −(−6.3)

Answers

Answer:

the reicprocal is -1/6.3

Step-by-step explanation:

What is the value of n?
What is the value of n?

Answers

Answer:

42

Step-by-step explanation:

You get 42 by looking at the denominators 7 and 21. You times by 3 to get from 7 to 21, so you times 14 by 3 to get n, which is 42.

Answer:

42

Step-by-step explanation:

On the bottom 7 was multiplied by 3 so you would do the same to 14.

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The slope of the line through the points (8,4) and (6.5) is 2.*
False
True

Answers

Answer:

False

Step-by-step explanation:

The slope of that line is -1/2

False

The slope of the line is actually -.05

I would have explained this further but u need it fast so..

What is the coefficient

Answers

Answer:

5, the one with the variable.

is the coeficiant

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The coefficient is always before the variable. It's always going to be a number.

the table shows ordered peirs of the function y= 8 - 2x what is the value of y when x = 8

Answers

Answer:

y = -8

Step-by-step explanation:

All we need to is substitute for x and solve for y.

y = 8 - 2x

y = 8 - 2(8)

y = 8 - 16

y = -8

Best of Luck!

the amount of money rachel earns varies directly with the number of hours she works. if sue earns $600 when she works 40 hours , how much will she earn for working 85 hours ?

Answers

Answer:

I think 500

Step-by-step explanation:

600 minus 40 mminus 85

1,275
Explanation : If she earns 600 dollars working for 40 hours, you can find the amount she earns working an hour by dividing 600/40 which will give you $15 an hour. From there it asks how much will she earn working 85 hours, so you multiply $15 by the 85 hours so you get 1,275

What is five times 3 and 3/4

Answers

Answer:

18.75

Step-by-step explanation:

I KNOW ITS RIGHT LOL HOPE THIS HELPED

5 times 3 is 15 simple but 5 times 3/4 or .75 is 3.75

What is y=3x+13 in standard form?

Answers

Answer:

3 x − y = − 13

Step-by-step explanation:

Any equation that relates the first power of x to the first power of y produces a straight line on an x-y graph. The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept. Converting from slope intercept form to standard form takes little more than basic arithmetic.

TLDR:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

Answer:

3x - y = -13

Step-by-step explanation:

y = mx + b

(This is the slope intercept form)

We want to change it to standard form, which is:

Ax + By = C

We want to rearrange as many of the numbers as we can, without actually changing the problem!

Ax = 3x

By = y

C = 13

So we must move the numbers from one side to another.

Whatever you do to one side, you do to the other.

y = 3x + 13

-3x + y = -3x - y

--------------------

-3x + y = 13

Since we can't have our "Ax" as a negative multiply everything by -1

-1[-3x + y = 13]

3x - y = -13

That is your answer.

Lisa and her date spent $87.70. They want to leave a 20% tip. What amount would be reasonable for the tip?​

Answers

Answer:

17.54 would be tip so reasonable would be 20$

Step-by-step explanation:

What is the answer to this?

Answers

Answer:

C

High Hopes^^

Barry-

round to the tenth. i need the answer plss​

Answers

Answer: D

Step-by-step explanation:

Answer:

C=6.4ft

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 5^2 = c^2

4 + 4 = 16

5 + 5 = 25

16 + 25 = c^2

41 = c^2

Now you will need to find the square root of 41 which gives you 6.40 and you just round to nearest tenth..

HOPE THIS HELPS!!

Use the table here to answer the questions below.
1) Explain what Pablo did in each step of his work.
2) Explain what Karla did in each step of his work.
3) Are Pablo and Karla correct?
Please help due today!!

Answers

1. Pablo Used the Commutative property to Reorder the terms.

2. Pablo then Combined all his like terms.

3. Pablo then Divided 21 by 3x to get 3(7+x)

4. Pablo then subtracted 7 from 13

5. He got x = 6
Pablo did his math wrong.

Karla Did her work correct.

1. Karla used the commutative property to reorder the terms

2. she then combined her like terms

3. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign

4. She divided 3x by 3 which equals x and 18 by 3 which equals 6.

5. Karla is correct.

Answer:

Pablo Used the Commutative property to Reorder the terms. Pablo then Combined all his like terms. Pablo then Divided 21 by 3x to get 3(7+x). Pablo then subtracted 7 from 13. He got x = 6

Pablo did his math wrong.

Karla Did her work correctly. Karla used the commutative property to reorder the terms. She then combined her like terms. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign. She divided 3x by 3 which equals x and 18 by 3 which equals Karla is correct.

Step-by-step explanation:

Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

Answers

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, [tex] y - b = m(x - a) [/tex]. Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of [tex] y - 2 = 3(x - 1) [/tex], look for the points which will give you something almost exactly as the equation if you substitute their values into [tex] y - b = m(x - a) [/tex].

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into [tex] y - b = m(x - a) [/tex]

We have:

[tex] y - (2) = m(x - (1)) [/tex]

[tex] y - 2 = m(x - 1) [/tex]

As you can see, this looks almost exactly as

[tex] y - 2 = 3(x - 1) [/tex].

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into [tex] y - 2 = m(x - 1) [/tex] to find m:

In graph D, let's take the points (0, -1)

[tex] -1 - 2 = m(0 - 1) [/tex]

[tex] -3 = m(-1) [/tex]

[tex] -3 = -m [/tex]

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line [tex] y - 2 = 3(x - 1) [/tex].

Write 2 and two-thirds as an improper fraction?

Answers

8/3,
2*3=6
6/3+2/3=8/3

Answer:

2 2/3

Step-by-step explanation:

how do you solve this pls help!!!​

Answers

Answer:

y = 1

x = -0.75

Step-by-step explanation:

The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.

21y - 1 = 4x + 23

21y - 24 = 4x

5.25y - 6 = x

21y - 1 = 4x + 23

21y = 4x + 24

y = 4/21(5.25 - 6) + 1.14

y = 1 - 1.14 + 1.14

y = 1

5.25(1) - 6 = x

-0.75 = x


What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second.

Step-by-step explanation:

374 divided by 17 = 22.

Answer:

22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

Step-by-step explanation:

hope this helps and if ur feeling genous mark brainliest

what is equivalent to sq root -27

Answers

Negative numbers don’t have real square roots since a square is either positive or 0

[tex]\sqrt{-27}=\sqrt{27}\sqrt{-1}=\boxed{3\sqrt{3}i}[/tex].

Result is a complex irrational number.

Hope this helps.

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