3x + y = 11 If you are given that y = x - 1, find the value of x

Answers

Answer 1

Answer:

x = 3 and y = 2

Step-by-step explanation:

I graphed both equations on the graph below.

If this answer is correct, please make me Brainliest!

3x + Y = 11 If You Are Given That Y = X - 1, Find The Value Of X

Related Questions

Find the sum.
a. 64 + (-15)
b. -121 + (-34)
C. -86 +92
d. 109+(-162)

ANSWER QUICKLY PLEASE!!!!

Answers

Look at the attached picture

Hope it will help u...

which unit could be used to measure area? yards ,miles ,square inches and pounds.

Answers

Answer:

square inches

Step-by-step explanation:

like u can do

square yards

square miles

but it has to have a "square"

so it is square inches

Answer:

square inches

Step-by-step explanation:

Did quiz

Solve cot x + 2cot x * sin x = 0 for U^ <= x<=180

Answers

Answer:

Step-by-step explanation:

hello :

cot x + 2cot x  sin x = 0        0≤ x≤ 180

cotx(1+2sinx) =0    means : cotx=0   or  1+2sinx=0

1)  cotx=0   so :  cosx=0  and  sinx ≠ 0   because cotx = cosx/sinx

when :  0≤ x≤ 180  : x=90°

2) 1+2sinx=0  means : sinx = -1/2

when :  0≤ x≤ 180  : no solutions because  :  sinx ≥ 0

conclusion : one solution : x=90°

Please help!!

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.

a. Write a function to represent this situation. Use x and y as your variables.

b. What would his weight be after 8 weeks?

Answers

Answer:

A. y=90+8x

B. After 8 weeks he would be 154 pounds.

Step-by-step explanation:

You use the equation and plug in your x variable as 8 and you get 154 as the y.

Which equation has a solution of x=1.5

Answers

Answer:

y=3

x=1.5

Step-by-step explanation:

if :

y=3

x=1.5

then:

y-x=1.5

I need to find x and y

Answers

Answer:

[tex]x = - 2 \\ y = - 4[/tex]

Step-by-step explanation:

[tex] - 2x + 2y = - 4 \: \: \: \: \: \\ i.e. \: \: \: - x + y = - 2 \: \: \: \: \: \: \: ...(1)\\ \\ 3x + 3y = - 18 \\ i.e. \: \: \: \: \: \: x + y = - 6\: \: \: \: \: \: \: ...(2)[/tex]

From (1) we get

[tex] x = 2 + y[/tex]

Now put x = 2 + y in equation (2)

[tex]2 + y + y = - 6 \\ 2 + 2y = - 6 \\ 2y = - 6 - 2 \\ 2y = - 8 \\ \\ y = - \frac{8}{2} \\ \\ y = - 4[/tex]

now put y = -4 in equation (1) we get

[tex] - x + ( - 4) = - 2 \\ - x - 4 = - 2 \\ x + 4 = 2 \\ x = 2 - 4 \\ x = - 2[/tex]



If you ignore friction, the amount of time required for a box to slide down an inclined plane is a

ne is Vg sin 0 cos o 'W

i me, where a is the

horizontal distance defined by the inclined plane, g is the acceleration due to gravity and is the angle of the inclined plane. For what

values of g is the expression undefined?

a. 0°

c. both a &b

b. 90°

d. none

Answers

Answer:

Option C is correct.

The expression is undefined when theta is equal to 0° or 90°.

Step-by-step explanation:

If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?

A. 0°

B. 90°

C. Both A and B

D. None

An expression is said to be undefined when its value doesnt take on a real number value, e.g., its value goes to infinity.

And the value of a fractional expression goes to infinity when the denominator is equal to 0.

In the given expression for time,

√(2a/g•sin(theta)•cos(theta)),

The denominator of the expression is

g•sin(theta)•cos(theta)

Since g (acceleration due to gravity) cannot be zero, this expression will go to zero if either

Sin (theta) = 0

or

Cos (theta) = 0

Sin (theta) = 0 when (theta) = 0°

Cos (theta) = 0 when (theta) = 90°

Hence, it is easy to see that the expression given for the amount of time required for a box to slide down an inclined plane becomes undefined when (theta) = 0° or 90°.

Hope this Helps!!!

Find the exact volume of the cylinder,
A)
80
ft?
B)
1601 ft
2007 ft
D)
400
ft

Answers

Answer:

i believe the answer on the photo is C. 200

The options are different on the question and the photo


Which point is located at (4,8)?

A) A
B) B
C) C
D) D

Answers

Answer:

C

Step-by-step explanation:

Start at the origin

Go to the right 4 units

Go up 8 units

We will end up at point C

Answer:

The coordinate of C is (4,8)

What is the measurement of the longest line segment in a right rectangular prism that is 26 inches long, 2 inches wide, and 2 inches tall?​

Answers

Answer:

[tex]6\sqrt{19} \approx 26.153[/tex] inches.

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment [tex]\mathsf{AG}[/tex].

In this diagram (not to scale,) [tex]\mathsf{AB} = 26[/tex] (length of prism,) [tex]\mathsf{AC} = 2[/tex] (width of prism,) [tex]\mathsf{AE} = 2[/tex] (height of prism.)

Pythagorean Theorem can help find the length of [tex]\mathsf{AG}[/tex], one of the longest line segments in this prism. However, note that this theorem is intended for right triangles in 2D, not the diagonal in a 3D prism. The workaround is to simply apply this theorem on two different right triangles.

Start by finding the length of line segment [tex]\mathsf{AD}[/tex]. That's the black dotted line in the diagram. In right triangle [tex]\triangle\mathsf{ABD}[/tex] (second diagram,)

Segment [tex]\mathsf{AD}[/tex] is the hypotenuse. One of the legs of [tex]\triangle\mathsf{ABD}[/tex] is [tex]\mathsf{AB}[/tex]. The length of [tex]\mathsf{AB}[/tex] is [tex]26[/tex], same as the length of this prism.Segment [tex]\mathsf{BD}[/tex] is the other leg of this triangle. The length of [tex]\mathsf{BD}[/tex] is [tex]2[/tex], same as the width of this prism.

Apply the Pythagorean Theorem to right triangle [tex]\triangle\mathsf{ABD}[/tex] to find the length of [tex]\mathsf{AB}[/tex], the hypotenuse of this triangle:

[tex]\mathsf{AD} = \sqrt{\mathsf{AB}^2 + \mathsf{BD}^2} = \sqrt{26^2 + 2^2}[/tex].

Consider right triangle [tex]\triangle \mathsf{ADG}[/tex] (third diagram.) In this triangle,

Segment [tex]\mathsf{AG}[/tex] is the hypotenuse, while[tex]\mathsf{AD}[/tex] and [tex]\mathsf{DG}[/tex] are the two legs.

[tex]\mathsf{AD} = \sqrt{26^2 + 2^2}[/tex]. The length of segment [tex]\mathsf{DG}[/tex] is the same as the height of the rectangular prism, [tex]2[/tex] (inches.) Apply the Pythagorean Theorem to right triangle [tex]\triangle \mathsf{ADG}[/tex] to find the length of the hypotenuse [tex]\mathsf{AG}[/tex]:

[tex]\begin{aligned}\mathsf{AG} &= \sqrt{\mathsf{AD}^2 + \mathsf{GD}^2} \\ &= \sqrt{\left(\sqrt{26^2 + 2^2}\right)^2 + 2^2}\\ &= \sqrt{\left(26^2 + 2^2\right) + 2^2} \\&= 6\sqrt{19} \\&\approx 26.153\end{aligned}[/tex].

Hence, the length of the longest line segment in this prism is [tex]6\sqrt{19} \approx 26.153[/tex] inches.

Final answer:

The longest line segment in a right rectangular prism with dimensions 26 inches by 2 inches by 2 inches is found using the Pythagorean theorem: d = sqrt(l^2 + w^2 + h^2), which gives approximately 26.2 inches.

Explanation:

To find the measurement of the longest line segment in a right rectangular prism, we need to calculate the space diagonal, which is the diagonal that cuts through the body of the prism. In this case, the dimensions of the right rectangular prism are 26 inches long, 2 inches wide, and 2 inches tall. We use the Pythagorean theorem in three dimensions to calculate this, which is the square root of the sum of the squares of the length, width, and height. The formula can be written as:

d = \sqrt{l^2 + w^2 + h^2}

Where d is the diagonal, l is the length, w is the width, and h is the height. Plugging in the given dimensions:

d = \sqrt{26^2 + 2^2 + 2^2}

Calculating the square of each term and adding them gives:

d = \sqrt{676 + 4 + 4}

So:

d = \sqrt{684}

Finally, taking the square root gives us the length of the longest line segment:

d = 26.2 inches

Therefore, the longest line segment of the rectangular prism measures approximately 26.2 inches.

What is the value of y in the equation 3y - 8 = 22?

Answers

10

Step-by-step explanation:

3y-8=22

3y=22+8

3y=30

y=30/3

y =10

So first you move eight to the other side as a positive number
3y=22+8
3y=30
We divide both sides by 3
So y equals to ten

Question 5(Multiple Choice Worth 6 points)
(07 02 LC)
Which statement is true for the equation 3x - 3x - 21-22
It has no solution
It has one solution
It has two solutions
It has infinitely many solutions

Answers

Answer:

can u please add more detail

Step-by-step explanation:

Pls i need help my brain won't think straight

Answers

Rocky because of the product rule which says that when multiplying two terms with the same base you add the exponents.

What is the value of cos(150°)?

Answers

Final answer:

The value of cos(150°) is -0.866.

Explanation:

The value of cos(150°) can be determined using the unit circle or trigonometric ratios. Since 150° is in the second quadrant, the cosine value is negative. In the second quadrant, the reference angle is 180° - 150° = 30°. The reference angle corresponds to the angle on the unit circle with the same cosine value.

In the first quadrant, the cosine value is positive. The cosine of 30° is 0.866 (approximately). Since the angle is in the second quadrant, the cosine value will be the same but negative. Therefore, the value of cos(150°) is -0.866.

Find a 15% tip on a restaurant bill of $32.60.

Answers

Answer:

32.60/100*15 = $4.89 = 15%

Step-by-step explanation:

Answer:

$4.89

Step-by-step explanation:

To find the tip, multiply the tip rate by the price of the bill

tip rate * bill

15% * 32.60

Convert 15% to a decimal by dividing by 100, or moving the decimal 2 spaces to the left

15%/100=0.15

15.0 -->0.15

Substitute the decimal in for the percent and multiply

0.15* 32.60=4.89

So, a 15% tip on $32.60 is $4.89

Lots of points plz help

Answers

Answer:

= 480 u2

Step-by-step explanation:

=

1

2 bh + bh +

1

2 (b1 + b2)h + bh

=

1

2 (16)(6) + (16)(6) +

1

2 (16 + 32)(6) + (32)(6)

= 48 + 96 + 144 + 192

Answer:

Once the height of the figures are the same and the total height is 24, each one height is 6.

Note: I wil consider square metre as the unit of area.

First, I will calculate the half-length of the triangle base using the pythagorean theorem:

[tex]10^{2}=6^2+x^2\\ 100=36+x^2\\64=x^2\\x=8m[/tex]

∴The base is equal to 16m

Let's calculate the area of the triangle:

[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2} (16)(6)\\\\A=\frac{1}{2} (16)(6)= 48m^2[/tex]

Now, let's calculate the first rectangle Area:

[tex]A=wh\\A=(16)(6)\\A=96m^2[/tex]

Now, the trapezoid area:

The width length of the longer side is equal to 16 plus the length of 2 little triangles. Those triangles base length equal to half-length of the first triangle. Therefore, the longer side/base is equal to 32.

[tex]A=\frac{1}{2} (longerSide+shorterSide)height\\A=\frac{1}{2} (32+16)6\\A=144m^2[/tex]

Now, the last rectangle:

[tex]A=wh\\A=(32)(6)\\A=192m^2[/tex]

Therefore, the figure Total Area is the sum of the triangle, trapezoid and rectangles:

[tex]48+96+144+192=480m^2[/tex]

A = 480 unit of area

Price, in dollars, of bicycles: 150, 134, 136, 120, 145, 170, 125, 130, 145, 190, 140 box plots

Answers

Answer:

Arrange this data in numerical order:

120, 125, 130, 134, 136, 140, 145, 145, 150, 170, 190

We have 11 observations.

Minimum = 120

First quartile = 130

Median = 140

Third quartile = 150

Maximum = 190

Check for outliers:

130 - 1.5(150 - 130) = 100

150 + 1.5(150 - 130) = 180, so 190 is an outlier.

See the attachment.

|x+3|=-2
This answer does not have two solutions...why?

Answers

Step-by-step explanation:

|x+3| = -2 doesn't have a solution because the exact values can't be negative

2. Jaclyn estimates the square root of 50 in the following way:
/50 = 2/ 25 = 2 □5=10
(A) Explain why her reasoning is incorrect.
(B) Estimate the square root of 50 to the nearest tenth without using your calculators. Show your work.
Answer:​

Answers

Answer:

(B) 7.1 is the estimated square  root of 50

Step-by-step explanation:

A. √50 =  √2 √25

= 5√2.

Jaclyn did not take the square root of 2.

B. We estimate the square root of 2.

Trial and improvement:

It must lie between 1 and 2 so we try 1.5:

1.5 * 1.5 = 2.25

Its  < 1.5 so try 1.4

1.4 * 1.4 = 1.96.

So it is a little above 1.4.

Try 1.45:

1.45 * 1.45                        

     1.45

  *  1.45

       -------

            725

          5800

         14500

       2.1025

= 2.1025.

- this is above 2 so the answer is between 1.40 and 1.45 but closer to 1.4.

A good estimate is 1.42

So the square root of 50 is about 5*1.42 = 7.1

         

       

Answer:

B is 7.1!

Step-by-step explanation:

3(x-2)<2(x+9)How do you slove this??

Answers

Answer:

x<24

Step-by-step explanation:

3(x-2)<2(x+9)

Distribute

3x - 6 < 2x+18

Subtract 2x from each side

3x-2x -6 < 2x-2x+18

x - 6 < 18

Add 6 to each side

x-6+6 <18+6

x<24

Help ASAP please ! Explain too!

Answers

Answer: D

Step-by-step explanation:

simplify

Answer:

When dealing with area (2 dimensions) when we deal with  a one dimensional quantity (distance) it changes a 2 dimensional quantity by the square of the difference.

Comparing a 3, 4, 5 triangle to a 6, 8, 10 triangle, the larger triangle has 4 times the area of the smaller triangle.

20)  6 / 4 = 1.5  1.5 ^2 = 2.25

Therefore, ABC's area is 2.25 larger than A'B'C's area.

21) 21 / 7 = 3 and 3^3 = 9

Therefore, ABC's area is 9 times larger than A'B'C's area.

Step-by-step explanation:

Angel has finished 75% of an art project that has taken
him a total of 9 hours so far. If he continues to work at
the same rate, how many hours will it take for him to
complete the entire project?​

Answers

Answer: 12 hours

Step-by-step explanation: For this problem we will write a percent equation to solve for 100% and how many total hours it will take angel to finish the entire project.

Lets write a equation to solve for w, total amount of hours.

9/w = 75/100

9/w x w = 75/100 x w

9 = 75w/100

9 x 100/75 = 75w/100 x 100/75

w = 12

So, it will take Angel 12 hours to finish his entire project.

Final answer:

Angel will need 3 more hours to complete the art project, for a total of 12 hours when he continues to work at the same rate.

Explanation:

Angel has completed 75% of his art project in 9 hours. To find out how much time it will take to complete the entire project, we need to determine the time taken to complete 100% of the project. First, we calculate the time taken for 1% of the work, which is 9 hours divided by 75 (the percentage completed so far). This gives us 0.12 hours per percent.

Now, we can find out the total time for 100% completion by multiplying 0.12 hours by 100, which totals 12 hours. Since Angel has already completed 9 hours of work, the remaining time to finish the project is 12 hours minus 9 hours, which equals 3 more hours of work.

What is the y- intercept of y= -3x

Answers

Answer: (0,0) or y=0

In order to find the y-intercept, we need to find the point that crosses the y-axis. To find that x=0 or (0,y)

When x=0, y=0 on the graph since there are no transformations.

mimominutnemendonasinipudmamimil ian
16. There are 3 adults for
every 8 children at a
birthday party. If there are
a total of 55 people at the
party, how many adults are
there?

Answers

Answer:

15adults

Step-by-step explanation:

Ratio of Children : Adult = 8 : 3

Number of children = 8x

Number of Adult = 3x

8x + 3x =55

11x = 55

x = 55/11

x = 5

Number of Adults = 3x = 3*5 = 15

Answer:

40 adults

Step-by-step explanation:

Let x:y represent the ratio of children to adults. As of now, x:y is 3:8.

To solve this problem, all we need to do is find a solution where x + y = 55. Let's begin by using the guess-and-check method.  

First, I will multiply the ratio by 2.

When x = 6, y = 16

6 + 16 = 22

Not applicable; I need higher numbers

Next, I'll multiply the ratio by 4.

When x = 12, y = 32.

12 + 32 = 44

Not applicable, I need slightly higher numbers

I'll multiply the ratio by 5.

When x = 15, y = 40

15 + 40 = 55

Since 55 is the total number of people, 15 children and 40 adults is the correct answer. Therefore, the total number of adults is 40.

What's |5| + |–7|?

Question 8 options:

A)
–12

B)
–2

C)
12

D)
2

Answers

Answer:

C) 12

Step-by-step explanation:

Absolute value always means it is the positive version of the number

This switches -7 to 7 and 5 stays the same.

5 + 7 = 12

The absolute value returns the "positive version" of a number. This means that if the number is already positive, it does nothing. Otherwise, it gets rid of the negative sign.

So, you have

[tex]|5|=5,\quad |-7|=7[/tex]

and thus

[tex]|5|+|-7|=5+7=12[/tex]

 What is the mean (average)of the data 4.7


4.5


5


4

Help fast

Answers

Answer:

4.55

Step-by-step explanation:

You add up all the numbers which is 18.2 and then you divide by the # of data.

Answer:

It's 4.55 because you add all the numbers together and then divide it by the numbers there are.

I NEED HELP DUE TOMORROW! Suppose Mr. Grant decides to buy square tiles that have side lengths of
3 foot. How many of these tiles will he need to buy?

Answers

Final answer:

To find out how many square tiles Mr. Grant needs, you need to know the total area he wants to cover. The area of each tile is 9 square feet. Divide the total area by 9 to find the number of tiles he needs.

Explanation:

In order to figure out how many square tiles Mr. Grant needs to buy, more information is needed, such as the size of the area he needs to cover. The area of a single tile can be calculated using the formula Area = length × width. Since the tiles are squares, the length and width are the same, so if each side is 3 feet, then the area of a single tile is 9 square feet. If, for example, Mr. Grant needed to cover an area of 27 square feet, he would divide the total area by the area of a single tile: 27 ÷ 9 = 3, so he would need 3 tiles.

Learn more about Area calculation here:

https://brainly.com/question/34380164

#SPJ12


Given the function h(a) = -x^2+ 7x + 14, determine the average rate of change
of the function over the interval 1 < x < 8.
Answer:
Submit Answer
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Answers

Answer:

- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = [tex]\frac{6-20}{8-1}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2

A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how tall will it be?

Answers

The height will be 2 in, because 9 divided by 3 is 3, so you must divide 6 by 3 to get a height of 2 in.

How do you find Radius with just the circumference? An Equation Would be
Preferred. Thanks

Answers

answer:

c =

[tex]2\pi r[/tex]

or

[tex]\pi \: d[/tex]

Answer:

To find the radius with just the circumference is with this formula:

R = C ÷ (2 × π)

Or  just divide the circumference by 2 times pi.

Here's an example:

The circumference is 26

R = C ÷ (2 × π)

R = 26 ÷ (2 × 3.14)

R = 26 ÷ 6.28

R = 4.140127388535032‬ or 4.1

Hope this helped

Other Questions
Recently,some historians have argued that the New Deal had a more radical effect on men than women for all of the following reasons exceptA) Social Security was designed to assist male breadwinners, who were expected to share benefits with their families.B) married women were rarely favored for jobs in New Deal agencies.C) programs maintained or reaffirmed women's traditional roles as wives or mothers.D) programs tended to provide more opportunities to men than women.E) women were recruited to run day care centers and light service sector positions. On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question, what is the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c? Does this graph have a maximumor minimum value? 8x-3=3x+17Solve for x Which term can be used in the blank of 36x322x2__ so the greatest common factor of the resulting polynomial is 2x? Select two options. Vectors a = (3, 4) and b = (m, 2) are given. For which value of m they are perpendicular? Which piece of evidence explains the cause of blue eyes?AA dominant gene will often produce enough of its protein on its own to result in its special trait.BSo when it is paired with the recessive allele, the physical result is the same as if it were paired with another dominant allele.CIf the genes that control melanin production in the eye are recessive, then the protein will be turned off there will be zero dosage resulting in eyes with no melanin.DHowever, the dosage is a big factor, which is why we often see eye color presented as a simple trait, like Mendel's pea height. Match the terms to their definition.1. agenda2. entitya thing that is thought to existindependentlymedia (such as radio, television,text, etc.) created by the few forconsumption by the manythe art of influencing the thoughts,beliefs, or actions of another personthe art of using appeals to3. mass media4. persuasionpersuade5. rhetoricthe goals or motives of anindividual or groupNEXT QUESTIONREAD NEXT SECTIONASK FOR HELPTURN ITIN how did Gorbachev's Glasnost and Perestroika impact the sovereignty of Eastern European satellite states? During which phase of the moon may a solar eclipse occur? A national magazine took a poll to determine company's opinions about outsourcing. Outsourcing is defined as the assignment of critical, but non-core, business functions to outside specialists. The magazine found that 26 percent of business executives felt that the benefits of outsourcing were less than what they expected. A sample of 100 business executives was polled. In this sample 19% of the business executives felt the benefits of outsourcing were less than what they expected. You want to determine whether the proportion of business executives in the sample differs from the national magazine poll. Which statistical test should you use? i need simple words like just the basics of spanish the word in english and then the word in spanish could anyone help it does not matter what the words are just simple ones like hello, goodbye,etc Somebody please help me with this i have no clue how to do any of thisMs. Vargas recorded the hourly wage of each employee at her business. Which of the following statements are true? Chose all correct answers. A. The mean of the data describes how the hourly wages vary. B. The mean absolute deviation of the data describes how the hourly wages vary. C. The interquartile range of the data summarizes the hourly wages. D. The median of the data summarizes the hourly wages. 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Assuming the groundwater lasts exactly as expected, determine the rate at which water is being withdrawn from the river by the city. Solve the inequality 3(4-6)+ 22(-t+3)+4 A battery-operated car utilizes a 120.0 V battery with negligible internal resistance. Find the charge, in coulombs, the batteries must be able to store and move in order to accelerate the 770 kg car from rest to 26 m/s, make it climb a 2.15 x 10^2 m high hill while maintaining that speed, and then cause it to travel at a constant 26 m/s by exerting a 5.3 x 10^2 N force for an hour When humans urbanize an area, what other impact will they end up having as well? If the goods delivered by the seller do not conform to the contract, _____. the buyer can pay for the units accepted at a price lower than the price per unit provided in the contract the buyer can accept only part of a commercial unit and reject the rest the buyer cannot reject an installment delivery even if the nonconformity substantially affects the value of that delivery the buyer can accept any commercial units and reject the rest Mariel has a $60,000 basis in her partnership interest just before receiving a parcel of land as a liquidating distribution. She has no remaining precontribution gain and will receive no other distributions. Under what conditions will Mariel's basis in the land be $60,000?