Please simplify.

13[tex]\frac{1}{3}[/tex] - 7[tex]\frac{7}{9}[/tex]

A. 6[tex]\frac{8}{27}[/tex]

B. 5[tex]\frac{5}{9}[/tex]

C. 7

D. 6[tex]\frac{2}{3}[/tex]

Answers

Answer 1

Answer:

B) 5 5/9

Step-by-step explanation:

13 1/3=40/3

7 7/9=70/9

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

40/3-70/9=120/9-70/9=50/9=5 5/9


Related Questions

1/4 of a rod was painted red. 2/5 was painted orange and 2/7 of the remainder was painted yellow. The yellow section was 20cm long how long was the rod

Answers

Answer: 200cm long

Step-by-step explanation:

Let the length of the rod be x

red = 1/4 of the rod , which means 1/4 of x

orange = 2/5 of x

The remainder = x - ([tex]\frac{x}{4}[/tex] +[tex]\frac{2x}{5}[/tex])

= x - ([tex]\frac{13x}{20}[/tex])

= [tex]\frac{7x}{20}[/tex]

yellow = 2/7 of the remainder , that is

yellow = 2/7 of [tex]\frac{7x}{20}[/tex]

yellow = [tex]\frac{x}{10}[/tex]

and it was given that the yellow section was 20cm long , that is

[tex]\frac{x}{10}[/tex] = 20cm

x = 20 x10

x = 200

Therefore the rod was 200cm long

Final answer:

To determine the length of a rod based on fractions of it being painted different colors, with the yellow section known to be 20cm, we set up a proportion based on the fractions of the rod painted and use this to solve for the total length of the rod, which is 200cm.

Explanation:

The subject of this question is Mathematics, and it is typically encountered at the Middle School level. To find the length of the entire rod when 1/4 is painted red, 2/5 is painted orange, and 2/7 of the remainder is painted yellow with the yellow section being 20cm, we need to set up an equation and solve for the total length of the rod.

First, we determine the fraction of the rod that remains after painting 1/4 red and 2/5 orange:

Calculate the total fraction painted already (red and orange combined): (1/4) + (2/5).Subtract that from 1 to find the remaining fraction.Of that remaining fraction, 2/7 is painted yellow.Since 2/7 of the remainder is 20cm, we can set up the proportion (2/7 of remainder) = 20cm to find the remainder.Once we find the remainder, we use it to calculate the full length of the rod.

Let's start the calculations:

1. (1/4) + (2/5) = 5/20 + 8/20 = 13/20.

2. The remaining fraction = 1 - 13/20 = 7/20.

3. Let x be the total length of the rod. Since 2/7 of the remainder is 20cm, we can write the equation (2/7) * (7/20) * x = 20cm.

4. Simplify and solve for x:

(2/7) * (7/20) * x = 20cm,

(1/10) * x = 20cm,

x = 20cm * 10,

x = 200cm.

Therefore, the total length of the rod is 200cm.

There are 16 ounces in 1 pound.juan is mailing a packet that weigth 10 pound he want to know the weight of the package in once’s

Answers

Answer:

160 ounces

Step-by-step explanation:

1 pound=16 ounces

so,

10 pounds=16 multiplied by 10= 160 ounces

Fun fact u spelled ounces at the very last.

pls can I have five star

Final answer:

The weight of the 10-pound package is 160 ounces.

Explanation:

There are 16 ounces in 1 pound. Juan is mailing a packet that weighs 10 pounds. To find the weight of the package in ounces, multiply the number of pounds (10) by the unit equivalence (16).

10 pounds x 16 ounces/pound = 160 ounces

Therefore, the weight of the package is 160 ounces.

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

* So far I got to f(x) = (1/2)² - 3x - 8 = 0 (what is the next step and does this problem require the use of logarithms?)

Answers

value of x is: [tex]x=\frac{-31}{12}[/tex]

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where [tex]f(x)=(\frac{1}{2})^2-3[/tex]

and [tex]g(x) = 3x + 5[/tex]

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

[tex]f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}[/tex]

So, value of x is: [tex]x=\frac{-31}{12}[/tex]

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

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What fraction of an hour is 8 minutes in simplest form

Answers

1/15. 8/60 simplified down is 1/15

8 minutes is 2/15 of an hour when simplified, which is obtained by dividing both the numerator and denominator of the fraction 8/60 by the greatest common divisor of 8 and 60, which is 4.

To convert 8 minutes into a fraction of an hour, first understand that 1 hour is equivalent to 60 minutes. Therefore, to find what fraction 8 minutes is of an hour, you can create the ratio of 8 minutes to 60 minutes, which simplifies to:

8 minutes / 60 minutes = 8/60

This fraction can then be simplified by dividing both the numerator and the denominator by the greatest common divisor (GCD) of 8 and 60, which is 4, to obtain:

8/60 ÷ 4/4 = 2/15

Thus, 8 minutes is 2/15 of an hour in simplest form.

2.4x-9.1x+12.5=-39.44

Answers

Answer:

I think the simplified answer is 7.69

In the spinner below the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 6 and the probability of landing on 5?​

Answers

Answer:

A

Step-by-step explanation:

If we take each small section to be "1" unit, we can say the large sections (for "2" and "5") are "2" units each. So in total there will be 8 sections.

Since 5 is "2" sections, we can say:

P(5) = 2/8 = 1/4

And 6 is "1" section, so we can say:

P(6) = 1/8

Definitely, Probability of landing a 6 is HALF that of probability of landing a 5. Also we can see this is the picture.

So, from the answer choices, A is right.

solve these absolute value equations step by step ​

Answers

Answer:

16 is x<3

Step-by-step explanation:

4x-10<2

Add 10 to both sides

4x<12

Divide 4 from both sides and you get x<3

The answer is 16 is x<3

A pair of dice is rolled. Find the probability that the sum of the two dice is less than 2

Answers

Answer:

0/36

Step-by-step explanation:

Answer:

0/36

Step-by-step explanation:

It is impossible to roll two dice and get a sum less than 2.

(I'm assuming this is a 6 sided die, but either way if you have more than one die this is impossible.

The lowest you can roll would be 1+1 therefore adding up to a 2.

Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of

chopped banana and ½ of a bowl of yogurt. Did one bowl hold all of the

ingredients at one time? Explain

Answers

Answer: No

Step-by-step explanation: because

1/2 +1/4 +1/3 is larger than one bowl.

6+3+4/12 = 13/12

;. 1 ¹/12.

Therefore, 1 bowl can not carry it

No, One bowl can not carry all of the ingredients at one time.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of chopped banana and ½ of a bowl of yogurt.

The total amount 1/2 +1/4 +1/3 is larger than one bowl.

6 + 3 + 4/12 = 13/12

also 1 ¹/12.

Therefore, No 1 bowl can not carry it.

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A line passes through (10,5) and (13,-4). Write the equation in standard form

Answers

Answer:

Standard Form : 3x+1y=35

Step-by-step explanation:

The equation of the line will be 3x+y-35=0

What is the equation of the line written in standard form?

The equation of the line in standard form will be expressed by using the coefficient of x and coeficient of y which is given

ax+by+c=0

How to determine the equation of the line in standard form from two point passing through it?

The equation of line which passes through two points will be

(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)

So according to asked question,

x₁=10,y₁=5

x₂=13,y₂=-4

the equation of line will be

(y-5)/(x-10)=(-4-5)/(13-10)

⇒(y-5)/(x-10)=-9/3

⇒(y-5)/(x-10)=-3

⇒y-5=-3(x-10)

⇒y-5=-3x+30

⇒y+3x-5-30=0

⇒3x+y-35=0

Therefore the equation of the line will be 3x+y-35=0

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sarah dvd collection. is stored in a cabinet that holds 6 dvds on each self. jow many shelves will she need to hold her collection of 89 dvds?​

Answers

Answer:

15 shelves

Step-by-step explanation:

6 dvds = 1 shelf

89/6= 14.8333333333 shelves

But you cannot have 0.8333333333 shelves so you would round  0.8333333333 to 1

Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 nails when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = Nails per side * Sides of birdhouse

Nails used on one birdhouse = 9*7 = 63 nails

If she uses 7 nails on each side, then the number of nails used on one birdhouse;

No. of nails = 7 * 7 = 49 nails

Change = Nails used on one birdhouse - No. of nails

Change = 63 - 49 = 14

The total number of nails will decrease by 14 nails when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

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Final answer:

Each birdhouse needs 63 nails. If Willa uses only 7 nails on each side, she will need a total of 49 nails.

Explanation:

Each side of the birdhouse requires 9 nails, and there are 7 sides on the birdhouse. To find the total number of nails needed for each birdhouse, we can multiply the number of nails per side by the number of sides:

9 nails/side x 7 sides = 63 nails needed for each birdhouse.

If Willa only uses 7 nails on each side, the total number of nails she uses will change. The new total number of nails can be found by multiplying the new number of nails per side (7 nails) by the number of sides (7 sides):

7 nails/side x 7 sides = 49 nails in total.

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Erica and Amy started biking in the opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly 1 km apart?

Answers

Answer:

100 seconds

Erica and Amy are at distance of 1 km in 100 seconds

Step-by-step explanation:

They both are travelling in opposite directions so the sum of the distances they travel is the distance between them.

Let's take t as the total time taken to achieve a seperation of 1km

Distance traveled by Erica , (Speed of Erica - v1)

x1 = v1 * t

Distance travelled by Amy , (Speed of Amy - v2)

x2 = v2*t

Therefore sum of the distances they traveled is x1+x2 = x

x = v1*t + v2*t

x = t*(v1 + v2)

Here it is given that final seperation between Amy and Erica is 1km or 1000 m

Therefore x = 1000 m

Thus t = [tex]\frac{x}{v1+v2}[/tex]

Substituting given values v1 = 6 m/s v2 = 4 m/s

Therefore,

They are apart by exactly 1km in a time of 100 sec

Write an equation in point slope form (-7, 4) m=-¾

Answers

Answer:

y=-3/4x-5/4

Step-by-step explanation:

use the formula y-y1=m(x-x1)

y-4=-3/4(x-(-7))

The equation is y= mx+b
Plug everything in : 4=-3/4(-7)+b , 4=21/4 + b
b= -21/4 + 4 , b= 37/4
Now plug only the b&m

Y = -3/4x + 37/4

10. A nursery owner buys 5 panes of glass to
some damage to her greenhouse. The S Danes
cost $14.25. Unfortunately, she breaks 2 more
panes while repairing the damage What is the
cost of another 2 panes of glass?

Answers

14.35/5= $2.85 per pane of glass
2.85*2= $5.70

2(x-1)-y=-8
y=2x+8
substitution method

Answers

Answer:

No Solution.

Step-by-step explanation:

2(x-1)-y=-8

y=2x+8

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

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

2x-2-2x-8=-8

2x-2x-2-8=-8

0-2-8=-8

-2-8=-8

-10=-8

no solution

Granola costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of granola costs? Round to the nearest cent .

Answers

Answer:

$4.25

Step-by-step explanation:

Ratio:

2.79:16.4 = x:25

16.4 × x

2.79 × 25

Cross multiply: 16.4x = 69.75

Then divide: 69.75 ÷ 16.4 = $4.25

A radio telescope's shape can be approximated with the equation y=0.011x^2. Is the relationship between x and y linear? Is it proportional?

Answers

The relationship is not linear, because the distance between each y value does not increase by an equal amount each time. It is not proportional because the ratio of x and y values does not stay the same for each coordinate.

Mia is 160.2 centimeters tall.Rosa is 165.1 centimeters tall.how much taller is Rosa the Mia?

Answers

Answer:

4.9

Step-by-step explanation:

165.1-160.2

The answer to the question in 4.9

At 6:00 AM the temperature was 35 degrees Celsius. At 5:00 PM the temperature was 28 degrees Celsius. Was it warmer or cooler at 5:00 PM?

Answers

Answer:

I think it was warmer

how many pencils measure 6 inches ​

Answers

Answer:

11

Step-by-step explanation:

because that are 11 pencils that are 6 inches or longer, that's what the picture says.

PLEASE MARK BRAINLIEST!

Answer:

Helpful piece of information - each x = 1 pencil

Step-by-step explanation:

If each x = 1 pencil, and their are 6 x's over the 6 inch mark, 2 x's over the 7 inch mark, and 3 x's over the 8 inch mark, how many pencils measure 6 inches or more?

11 pencils measure 6, 7, and 8 inches.

I hope this helps!

Estimate. Round to the greatest place value. Circle whether the estimate is greater then or less then the actual product.

Answers

Final answer:

Rounding to the greatest place value requires focusing on the digit to the right of the place value you're rounding to. If it's 5 or above, round up, if less, round down. This makes calculations easier by providing an estimated value close to the actual one.

Explanation:

In this question, you are asked to estimate a value by rounding to the greatest place value. To do this, you will focus on the digit in the place value you are rounding to and the digit to its right. If the digit is 5 or more, you will round up. If it's less than 5, you will round down. It's called the estimation because it's not an exact value but a value close to the actual one best suited for calculations.

For example, if you have the number 4387 and you want to round it to the greatest place value, which is thousands place, you will look at the hundreds place value which is 8 (greater than 5), so you round up to 5000. Your estimated number, 5000, is greater than the actual product.

The purpose of rounding and estimation is to simplify calculations and analyze systems or data without being bogged down by specificities.

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if x varies directly as y, find x when y=8. x=11 when y=-3

Answers

Answer:

[tex]x=-\frac{88}{3}[/tex]

Step-by-step explanation:

When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:

A = kB

Where k is the proportionality constant (to be found)

In this problem, it is given x varies DIRECTLY with y, so we can write:

x = ky

Also, given, x = 11, y = -3, so we plug these into the equation and first find k:

x = ky

11 = k(-3)

k = -11/3

Now, we need to find x when y = 8, so we substitute and find x:

[tex]x=ky\\x=(-\frac{11}{3})(8)\\x=-\frac{88}{3}[/tex]

Final answer:

To find x for a given value of y when x varies directly as y, determine the constant of proportionality using the provided pair of values. Then use this constant to calculate x for the new value of y.

Explanation:

Since x varies directly as y, we can write this as x = ky, where k is the constant of proportionality. To find the value of k, we use the given values: x=11 when y=-3. Substituting these values into the equation gives us 11 = k(-3), or k = -11/3.

To find x when y=8, we substitute y=8 and the value of k into the direct variation equation: x = (-11/3)(8) = -88/3 = -29.33. Therefore, x is approximately -29.33 when y=8.

In 2015, nearly three out of every ten autos sold in a country was a crossover utility vehicle. If an auto dealership sold 4800 vehicles in total that year, how many of these sales would be expected to involve a cuv? Simplify your answer.

Answers

Answer:

about 160

Step-by-step explanation:

Answer:

1440 CUVs, approx.  Actual number would be slightly lower.

Step-by-step explanation:

To answer this question, multiply 4800 vehicles by (3/10) for an approximation of the number of CUVs sold:

4800        3

---------- * ------- = 1440 CUVs

    1            10

Which expression has a negative value? a)−1×−2 b)−1×2×−3×4×−5 C) 1×−2×−3×−4×−5 d)1×−2×3×−4×5

Answers

Answer:

b)−1×2×−3×4×−5 has a negative value.

Step-by-step explanation:

Given expressions are a)−1×−2  b)−1×2×−3×4×−5 C) 1×−2×−3×−4×−5 d)1×−2×3×−4×5

Firstly we have to multiply the digits with digit then after minus sign.

So for a)−1×−2

Solution, [tex]1\times2\ =2[/tex]

When two negative signs are multiplied with each other it gives a positive sign.

Both digits have a negative sign that means it gives a positive sign.

So the solution for 1st expression is [tex]2.[/tex]

b)−1×2×−3×4×−5

Solution,[tex]1\times2\times3\times4\times5\ =120[/tex]

Here three digits have negative sign, two negative gives positive and then multiplied by negative gives negative.

So the solution for 2nd expression is [tex]-120[/tex].

C) 1×−2×−3×−4×−5

Solution,[tex]1\times2\times3\times4\times5\ =120[/tex]

Here four digits have negative sign, two negative gives positive and again two negative gives positive means positive multiplied with positive gives positive.

So the solution for 3rd expression is [tex]120[/tex].

d)1×−2×3×−4×5

Solution,[tex]1\times2\times3\times4\times5\ =120[/tex]

Two digits have a negative sign that means it gives a positive sign.

So the solution for 4th expression is [tex]120[/tex].

Hence the correct option is b.

Answer:

B

Step-by-step explanation:

What is the answer to the photo

Answers

112 maybe that's weird

Answer:

96 is the answer maybe of it

If cos theta = 3/5 and theta is in the first quadrant, what is sin 2 theta

Answers

Final answer:

To find sin 2θ when cos θ = 3/5, we first find sin θ using the Pythagorean identity and then apply the double angle formula, yielding sin 2θ = 24/25.

Explanation:

To find sin 2θ when given cos θ = 3/5 and θ is in the first quadrant, we can use the double angle formula for sine, which is sin 2θ = 2 sin θ cos θ. First, we need to find sin θ. Given that θ is in the first quadrant, all trigonometric functions are positive, and we can use the Pythagorean identity sin²θ + cos²θ = 1 to find sin θ. Since we know cos θ, cos²θ = (3/5)² = 9/25, which means sin²θ = 1 - 9/25 = 16/25. Taking the positive square root, since θ is in the first quadrant, sin θ = 4/5.

Now, we apply the double angle formula: sin 2θ = 2 × (4/5) × (3/5), which simplifies to sin 2θ = 24/25.

87 1/2% of what number is 105?

Answers

Answer:

120

Step-by-step explanation:

87.5% of what number is 105?

87.5%=0.875

105/0.875=120

Please help on question c

Answers

Answer: 240 km

Step-by-step explanation:

From the graph :

50 miles = 80km

1 miles = 80/50 km

Therefore :

150 miles = 80/50 x 150

150 miles = 240 km

9/16 = x/12
x-3/18 = 12/9
7/11 = 18/x+1
3x-4/14 = 9/10
Simplify​

Answers

Answer:

Step-by-step explanation:

9/16=x/12

cross product

16x=9*12

16x=108

x=108/16

simplify

x=27/4

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

x-3/18=12/9

x=12/9+3/18

x=24/18+3/18

x=27/18

x=3/2

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

7/11=18/x+1

18/x=7/11-1

18/x=7/11-11/11

18/x=-4/11

x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2

x=-99/2

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The variety of theatre introduced in the 1960s that denotes semi-professional or even amateur theatre in the New York/Manhattan area, often in locations such as church basements, YMCAs, and coffeehouses, is commonly known as off-off-Broadway.a. True.b. False Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time. y equals one half times x minus teny = 2x 10y = 2x + 10y equals one half times x plus ten Which of the following best describes Samuel Gompers? a) Gompers was the founder and first mayor of Pullman, Illinois. b) Gompers was a labor leader who created the first wildcat strike. c) Gompers was a US Congressman who was against striking. d) Gompers was the first president of a huge labor organization. For a variety of reasons, a bank sometimes will hold more reserves than is legally required. These reserves are known as excess reserves. How does holding excess reserves affect the money supply? Choose one: (A) The money supply will increase as banks loan out more money. (B) The money supply will increase as banks hold more vault cash. (C) The money supply will increase as a banks vault cash falls. (D) The money supply will decrease as banks loan out less money. (E) There is no impact. The level of deposits and loans will be unaffected. How did cavour get other italian states to join sardina If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?Eo y- 48 (2)y (43)O ya 4036 WILL BRAINLIEST What factors do you think influence what you feel about yourself? What would help a person develop a more positive self-concept? 7. Describe the typical demographic characteristics of members of Congress. Which statements accurately describe Magellan's expedition? The first day of Alex's trip was a Monday. What was the day of the week on Alex's 39 day of his trip? ASAP!!!!!!!!!!!!!!!!!!!!!Read Letter From a Birmingham Jail- Martin Luther King, Jr.Think of a time that you got in trouble for something you believed was unjust, or unfair. Compose a letter to critics explaining your actions, and why you believe they were just. Keep the audience in mind Brian wants to purchase a new computer and go to the Caribbean for spring break. The computer is priced at $1,299, and the vacation is priced at $750. He has only $1,537 in his checking account, so he cannot afford to purchase both. After much thought, Brian buys the computer and writes a check for $1,299. In automation:Question 1 options:A) more manual steps are required.B) business processes are reorganized to cut waste and eliminate repetitive, paper-intensive tasks.C) new products are explored first.D) business processes are added.E) employees are enabled to perform their tasks more efficiently. A thick copper wire connected to a voltmeter surrounds a region of time-varying magnetic flux, and the voltmeter reads 10 volts. If instead of a single wire we use a coil of thick copper wire containing 23 turns, what does the voltmeter read? A person in a car during a sudden stop can experience potentially serious chest injuries if the combined force exerted by the seat belt and shoulder strap exceeds 16,000 N. Assume the mass of the passenger is 80 kg and the initial speed of the car is 16 m/s. Describe what it would take to avoid injury. The basic purpose of tort law is to punish criminal wrongdoers. True or False Two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. Researcher A selects a sample of 30 participants. Researcher B selects a sample of 40 participants. Which sample is associated with a smaller standard error? a. Researcher A's, because the sample size was smaller. b. Researcher B's, because the sample size was smaller. c. Researcher A's, because the sample size was larger. d. Researcher B's, because the sample size was larger. x-5y =30 and 10y=2x+90 Explain how the flapper related to the lives of most American women In 2019, Alliant Corporation acquired Centerpoint Inc. for $548 million, of which $98 million was allocated to goodwill. At the end of 2021, management has provided the following information for a required goodwill impairment test: Fair value of Centerpoint Inc. $ 402 million Book value of Centerpoints net assets (excluding goodwill) 352 million Book value of Centerpoints net assets (including goodwill) 450 million Required: 1. Determine the amount of the impairment loss. (Negative amount should be indicated by a minus sign. Enter your answer in millions (i.e., 10,000,000 should be entered as 10)).