Simplify 5/96 - 7/54

Answers

Answer 1

Answer:

The answer is

[tex] - \frac{67}{864} [/tex]

Step-by-step explanation:

[tex] \frac{5}{96} - \frac{7}{54} [/tex]

To solve first find the LCM of the denominators

That's

The LCM of 96 and 54 is 864

So we have

[tex] \frac{5}{96} - \frac{7}{54} = \frac{5(9) - 7(16)}{864} [/tex][tex] = \frac{45 - 112}{864} [/tex]

We have the final answer as

[tex] = - \frac{67}{112} [/tex]

Hope this helps you


Related Questions

Can someone please help me with this and give an explenation please

Answers

Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help

Step-by-step explanation:

* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator

Can someone please help on both questions!! Thank you

Answers

Question 7

Answer: A) 15

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

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

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

Question 8

Answer: B) 17

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

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

angle A = angle Eangle B = angle Dangle C = angle F

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

I went from my house to a playground, 300
metres away in 10 minutes. I ran back and
reached in 2 minutes. What was my average
speed?​

Answers

Average Speed=Total Distance / Total Time

Converting meter into km

300/1000=0.3km

Average Speed=(0.3+0.3)/12

Average Speed=0.6/12

=0.05km/min

I hope this helps you.

Plz mark me as the Brainliest.

If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3

Answers

Answer:

[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]

Step-by-step explanation:

[tex]f(x) = x -1\\g(x) = x^3[/tex]

We've to find [tex]f(g(x))[/tex]

Which will be [tex]f(x-7)[/tex]

Putting x in f(x) as x-7

So,

[tex]f(g(x)) = (x-7)^3[/tex]

What is x? will give brainliest whoever answers first and correctly

Answers

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

We can solve for x by isolating it on one side of the equation.

If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.

First let's combine like terms on the left side.

[tex]2x + 5 = x-3[/tex]

Now subtract x from both sides:

[tex]x + 5 = -3[/tex]

Subtract 5 from both sides:

[tex]x = -8[/tex]

Hope this helped!

Answer:

-8

Step-by-step explanation:

Simplify to 2x + 5 = X - 3

Subtract and you end up with x = -3 - 5

Please answer, I will give brainliest

Answers

Step-by-step explanation:

Hey, there!!

Let's look in your question,

Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.

At that time 1 US dollar= 7000 Cedi.

He paid 35000 cedi.

Us dollar for 35000 cedi = 35000/7000 $.

So, he had bought it in $5.

now,

At present,

The value of 1$ is 5.79 cedi.

As he bought it on same value,

5$ is equal to 5.79×5

= 28.95 cedi.

{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.

Hope it helps...

plz helpaaaaaaaaaaaa

Answers

Answer:

Hey there!

1 4/9x+y=2

13x+9y=18

Let me know if this helps :)

The Answer is B.

because

1 4/9x+y=2

13x+9y=18

Hope this helps!

Match the meaning of each of the following expressions.
1. x added to the sum of five and seven
x - (8 + 2)
2. the sum of eight and two, subtracted from x
8 - x
3. eight added to x
x + (5 + 7)
4. eight subtracted from x
x - 8
5. eight minus x
x + 8
6. five subtracted from n
n - 5
7. the sum of x and itself
x + x
8. the difference of eight and two, added to x
5 - n
9. the sum of n and five
x + (8 - 2)
10. five minus n
n + 5

Answers

Answer:

1. x+(5+7)

2.x+ (8-2)

3. (x+8)

4. x-8

5. 8-x

6. 5-n

7.x+x

8. x+ (8-2)

9. n+5

10. n-5

Step-by-step explanation:

-8
-7
-6
-5
-4
+
0 1 2
-3
-2
-8
-7
-6
-5
-4
-3
-2
-1
0 1 2
-8 7
-6 -5
-4
-3
.-2
-1
0 1
2
-8
+
2
-7
-6
-3
-2
-1
0
1
Compare and contrast the four number lines. Decide which number line doesn't belong. Justify your reasoning.

Answers

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

Gregory knows that ABC is reflected onto ABC which statement about the figure is true

Answers

Answer:

Option a is right

Step-by-step explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line of reflection,

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

Answer:

Its A

Step-by-step explanation:

BECAUSE IM RIGHT

9. A pyramid has a square base with an area
of 144 ft.2 What is the perimeter of the base
of the pyramid?

Answers

Answer:

48 ft

Step-by-step explanation:

A  = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

Evaluate a^2b^2c^2 for a=2, b=3, and c=4

Answers

Answer:

576

Step-by-step explanation:

a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576

the sum of squares of three consecutive numbers is 77 find the numbers​

Answers

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]

Sum = 77

∴by the problem ,

[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]

{Taking 3 common }

[tex]x^{2} +2x- 24 = 0\\[/tex]

{By factorization}

[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

Therfore,

[tex]x= -6,4\\[/tex]

X can't be negetive

∴ [tex]x =4\\x+1=5\\x+2=6[/tex]

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

The area of a rectangular countertop is 30 square feet. It is 10 feet long. How wide is it?

Answers

Answer:

w = 3 ft

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

30 = 10 *w

Divide each side by 10

30/10 = 10w/10

3 = w

arrange tho following in ascending order: 2/9, 1/3, 5/12, 1/6​

Answers

Step-by-step explanation:

5/12, 2/9, 1/6, 1/2 thats the answer

Answer:

2/9=0.22

1÷3=0.33

5÷12=0.41

1÷6=0.16

Step-by-step explanation:

5/12

1/3

2/9

1/6

-8/9x +7/10=-119/30

solve pls

Answers

Answer:

x = 5.25

Step-by-step explanation:

subtract 7/10 from both sides of the equation

-8/9x +7/10 - 7/10 = -119/30-7/10

-8/9x = -119-21/30

-8/9x = -140/30

the negative signs cancels out and the right hand side reduced to the lowest tern

8/9x = 14/3

multiply both sides by the reciprocal of 8/9 which is 9/8

9/8 * 8/9x = 14/3 * 9/8

x = 21/4

x = 5.25

3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

[tex]-3n + 12 + 5n = 2n[/tex]

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

[tex]2n + 12 = 2n[/tex]

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

[tex]12 = 0[/tex]

This makes the statement false for any value of n. Meaning that your answer is B, no solution.

somebody please help and give me the reasons i’ll mark u the brainliest

Answers

Reason 1:  Given

We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.

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

Reason 2: Addition Property of Equality

We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.

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

Reason 3: Substitution

The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.

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

Reason 4: Angle Addition Postulate

This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.

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

Reason 5: Substitution

Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ

Find a three-digit palindromic number which is exactly 19 times the sum of its digits

Answers

the number that can exactly 19 is 38

Simplify the following expressions.

1. 3( x - 5 ) + 2x - 3

2. 4a - 3 ( 4 - a )

3. -2 ( b - 6 ) + 2

4. 6 - 3 ( 3 + x )

Answers

Step-by-step explanation:

1. 3( x - 5 ) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

2. 4a - 3 ( 4 - a )

= 4a - 12 + a

= 5a - 12

3. -2 ( b - 6 ) + 2

= -2b + 12 + 2

= -2b + 14

= 14 - 2b

4. 6 - 3 ( 3 + x )

= 6 - 9 - 3x

= -3 - 3x

Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita's error? She incorrectly determined the GCF. She subtracted the GCF from the second term in the expression instead of dividing. She divided the GCF into the first term in the expression instead of subtracting. She divided each piece of the expression by different factors.

Answers

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

Answer:b

Step-by-step explanation:

HELP PLEASE (image) Find the volume of this triangular prism.

Answers

the answer is 235 cubic meters

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3

HELP ASAP!!!
Which of the numbers below could be terms in the sequence an = 7n+4?
Check all that apply.
A. 36
B. 24
C. 46
D. 32

Answers

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

Answer: OPTION C AND D

Step-by-step explanation:

Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.

A. 36

an=7n+4

36=7n+4

32=7n

n=32/7

INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

B. 24

an=7n+4

24=7n+4

20=7n

n=20/7

INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

C. 46

an=7n+4

46=7n+4

42=7n

n=6

CORRECT. It is a integer.

D. 32

an=7n+4

32=7n+4

28=7n

n=4

CORRECT. It is a integer.

Hope this helps!! :)

Please let me know if you have any question

5/6 minus 1/9 I need help!! I would really appreciate

Answers

Answer:

0.72

Step-by-step explanation:

5/6 - 1/9 =

(5×9)-(1×6) over (6×9)

= 39/54

=39÷3 over 54÷3

=13/18

Decimal result: 0.72

I asked Google so if this is wrong or unhelpful I'm so sorry.

Find the midpoint of the segment with the given endpoints.

(-4,2) and (10,10)
The midpoint is_

Answers

The midpoint= x1 plus x2 divided by 2 and y1 plus y2 divided by 2

the perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle

Answers

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

a, b, c

Perimeter:

P= a+b+c = 30

Area:

1/2ab = 30 ⇒ ab = 60

As per Pythagorean theorem, side c= √(a²+b²):

a+b+c = 30a+b+ √(a²+b²) = 30a+b - 30= - √(a²+b²)(a+b - 30)²= (- √(a²+b²))²a²+b²+900 + 2ab - 60a - 60b = a²+b²

Considering ab = 60

900+120=60a+60b ⇒ a+b = 17

Again using ab= 60 to find out sides:

ab=60a(17-a)= 6017a - a² -60 = 0a² -17 a +60= 0

Solving the quadratic equation, its positive root is:

a= 12

Then we get the rest:

b = 17 - 12= 5c= 30 -17 = 13

1. 2 |-9|
2. 4 |-4|
3. 1 |1|
4. 11 |11|
5. 9 |-2|

Answers

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice​

Answers

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

In a hypothesis test, standard error measures ____.

a. variability for the sample data
b. the amount of difference expected just by chance
c. the size of the treatment effect
d. the likelihood of a Type I or Type II error

Answers

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Please help ASAP it is due today

Answers

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

Other Questions
Find a three-digit palindromic number which is exactly 19 times the sum of its digits Evaluate a^2b^2c^2 for a=2, b=3, and c=4 If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?A. x^2(x-7)B. x^2 + x-7C. x^3.7D. (x-7)^3 Please help ASAP it is due today What made maps and books more affordable in Europe?o the compassthe printing pressO the sextantthe magnet Solve 108125+75 step by step What activity dominated the everyday life of the Neanderthal? 3(-n+4)+5n=2n a. n=3b. no solutionc. infinitely many solutions A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice Consider the following:a) radio waves emitted by a weather radar system to detect raindrops and ice crystals in the atmosphere to study weather patterns;b) microwaves used in communication satellite transmissions;c) infrared waves that are perceived as heat when you turn on a burner on an electric stove;d) the multicolor light in a rainbow;e) the ultraviolet solar radiation that reaches the surface of the earth and causes unprotected skin to burn; andf) X rays used in medicine for diagnostic imaging. A preferred stock pays an annual dividend of $6.75 and sells for $58.60 a share. What is the rate of return on this security? The market structure in which the behavior of any given firm depends on the behavior of the other firms in the industry is BookmarksSubmit Testnous1vNextPolitical Systems: Mastery Test1Select the correct answer.Imagine that an exchange student from China visits your class. While your teacher discusses how the United States has a limited government,the Chinese student raises his hand and asks why the government has limited power. Which point best highlights why the US government haslimited power?OAA limited government means citizens pay fewer taxes.OB.A limited government helps people avoid breaking the law.C.A limited government protects individual freedoms.ODA limited government prevents businesses from being too powerful.ResetNext what are the respiratory organs of different animals?(list out) Simplify the following expressions.1. 3( x - 5 ) + 2x - 32. 4a - 3 ( 4 - a )3. -2 ( b - 6 ) + 24. 6 - 3 ( 3 + x ) What are your short and long term goals for your Spanish class? A Mississippian Indian village was ruled by aA mound-builderB commonellipriest-chiefpresident a customer has invested 20000 in a variable annuity. in the first year nav increases to 21100 at what rate wsill 1100 gain be taxed Why are a 12 ounce hard seltzer and 1.5 ounces of liquor both standard drinks? A. They have the same impact B. They have the same amount of calories C. They contain the same amount of pure alcohol D. They should cost the same amount E. Both A and B Fill in the blanks in the following dialogue between Juan and Pablo in which they discuss their plans for the weekend. Say complete sentences in Spanish based on the questions and responses provided. Note the cues in parentheses. (20 points; 4 points each) Juan: _____ ? Pablo: El sbado salgo con Mara. Y t? Invitaste a Sara? Juan: (Yes, you invited her to go to the beach.) ___________ . Pablo: Qu genial! Podemos tener una cita doble. Juan: Espera, no s si Sara saldr conmigo. (I left a message on her answering machine.) ___________ . Pablo: Est bien. (Call me tomorrow.) __________ . Juan: (Listen, I have two tickets for tonight's jazz concert!) _______ . Quieres ir conmigo? Pablo: Qu rollo! Gracias, Juan, pero no me gusta el jazz.