Explain why the denominator 8 in 8/4 is not changed when adding the fractions.

Answers

Answer 1

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:


Related Questions

Hey guys I think I know the answer but I cant afford to get it wrong-

Answers

The correct answer is $1.5 per ticket.

Answer:  $1.50 per ticket

Step-by-step explanation:

Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)

Once you divide them, you'll get 1.5.

$1.50 per ticket.

Not that bad

3 |a| +5 |b| if a = −2; b = −1
WILL AWARD BRAINLIEST

Answers

Answer:

-11

Step-by-step explanation:

[tex]3( - 2) + 5( - 1)[/tex]

[tex] - 6 + ( - 5)[/tex]

[tex] - 11[/tex]

help help help help help

Answers

Answer:

The maximum value is (2,9) I can't really see the question well btw

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer:

452.39

Step-by-step explanation:

Solve this before 6:00 and i will give brainliest

Answers

Answer:

4

Step-by-step explanation:

Use PEMDAS. Use a calulator to solve 3 and 1/3 times 1.9+19.5 divided by 4 and 1/2 and after you solve that solve 62/75- 0.16. Divided the first answer by the second. Now move to 3.5+4 and 2/3+ 2 and 2/15 then solve. Next solve 0.5 times ( 1 and 1/20+ 4.1) and with the answer you got from the equation above divided that by the answer just solved. Now divided the number on the left with the number on the right and you should get 4.

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion

Answers

Answer:

The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]

Step-by-step explanation:

At the null hypothesis, we test that the mean is equal to a certain value.

At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 238[/tex]

A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu > 238[/tex]

A relation R on a set A is defined to be irreflexive if, and only if, for every x ∈ A, x R x; asymmetric if, and only if, for every x, y ∈ A if x R y then y R x; intransitive if, and only if, for every x, y, z ∈ A, if x R y and y R z then x R z. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.

Answers

Answer:

OMG IM ON THE SAME QUESTION

Step-by-step explanation:

a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that is 4 feet high?

Answers

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it.
12(x + 3) = (y - 2)^2

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation.
(1 point)

b) What is the vertex of the parabola? (1 point)

c) What is the focus of the parabola? (2 points)

d) What is the directrix of the parabola? (2 points)

e) Sketch a graph of the parabola and label the vertex, focus, directrix, and axis of symmetry. (4 point

Answers

Answer:

a) The axis of symmetry is the line, y = 2

b)  The vertex  of a parabola is (-3, 2)

c) The focus of the parabola is (0, 2)

d) The directrix of a parabola is, x = -6

e) Please find attached the graph of the parabola

Step-by-step explanation:

a) The function for the parabola can be expressed as follows;

12·(x + 3) = (y - 2)²

The general form of the equation of the parabola is x = a·(y - k)² + h

The axis of symmetry is the line, y = k

By comparison, with the given equation of the parabola, we have;

12·(x + 3) = (y - 2)²

x = (1/12)·(y - 2)² - 3

Therefore;

a = (1/12), k = 2, h = -3

The axis of symmetry is y = k

∴ The axis of symmetry is the line, y = 2

b) The vertex  of a parabola = (h, k)

∴ The vertex  of a parabola = (-3, 2)

c) The focus of a parabola is [tex]\left(h + \dfrac{1}{4\cdot a} , \ k\right)[/tex]

Therefore, the focus of the parabola is [tex]\left(-3 + \dfrac{1}{4\cdot \dfrac{1}{12} } , \ 2\right)[/tex] = (0, 2)

The focus of the parabola = (0, 2)

d) The directrix of a parabola is [tex]h - \dfrac{1}{4\cdot a}[/tex]

[tex]\therefore h - \dfrac{1}{4\cdot a} = -3 - \dfrac{1}{4\cdot \dfrac{1}{12} } = -3 - 3 } = -6[/tex]

The directrix of a parabola is, x = -6

e) Please find attached the graph of the parabola, showing the vertex, focus, directrix, and axis of symmetry, created with Microsoft Excel

The axis of symmetry of the parabola is y = 2, the vertex of the parabola is (-3, 2), the focus of the parabola is (0, 2) and the directrix of the parabola is x = -6

It is given that the parabola equation is  [tex]\rm 12(x+3)=(y-2)^2[/tex]

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the standard form of a parabola is:

[tex]\rm x= a(y-k)^2+h[/tex]  .........(1)

We have the equation of parabola:

[tex]\rm 12(x+3)=(y-2)^2\\\\\rm x+3 =\frac{1}{12} [(y-2)^2]\\\\\rm x =\frac{1}{12} [(y-2)^2]-3\\[/tex]........(2)

a) Axis of symmetry: the axis of symmetry is a straight line that divides the parabola into two identical parts.

By comparing the equation (1) and (2), we get:

Axis of symmetry ⇒ (y - k) = 0 ⇒ (y - 2) = 0 ⇒ y = 2.

b) Vertex of the parabola = (h,k): (-3, 2)

c) The focus of the parabola is [tex]\rm (h+\frac{1}{4a} ,k)[/tex],

[tex]\rm h = -3, a = \frac{1}{12} , k= 2[/tex]

∴ [tex]\rm (-3+\frac{1}{4\times(\frac{1}{12}) } ,2)\\\\\rm (0,2)[/tex]

The focus of the parabola is (0, 2)

d) The directrix of a parabola is [tex]\rm x = h-\frac{1}{4a}[/tex]

[tex]\rm x = -3-\frac{1}{4\times\frac{1}{12} }\\\\\rm x= -3-3\\\rm x= -6[/tex]

The directrix of a is x = -6

e) Shown in the below picture: graph of the parabola and vertex, focus, directrix, and axis of symmetry

Thus, the axis of symmetry of the parabola is y = 2, the vertex of the parabola is (-3, 2), the focus of the parabola is (0, 2) and the directrix of the parabola is x = -6

Know more about the parabola here:

brainly.com/question/8708520

How was Franklin D. Roosevelt a lasting impact even on today's society​

Answers

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

Expand and combine like terms: (2x^3+4x^5)^2=

Answers

Answer:

16x^10+16x^8+4x^6

The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is  [tex]4x^6 + 16x^8 + 16x^10[/tex].

when we combine all the like terms.

To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.

Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:

[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]

Simplifying each term:

[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]

Combining like terms, we have:

[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]

Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]

To know more about  "expression."  here

https://brainly.com/question/1859113

#SPJ2

Full Question

Expand and combine like terms: (2x^3+4x^5)^2 by simplication.

(No graph needed)

The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.

Answers

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

Answer:

2400 just believe me I’m correct

PLEASE HELP! YOU GET 30 POINTS IF YOU HELP!!
Which inequality is the solution to 20 + 2 < x/3 - 8
A) x > 10
B) x > 42
C) x > 90
D) x > 114

NO LINKS ANSWER PLSSS!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:\A) x > 10

Step-by-step explanation:

Hope this helps!!


9 m
c) radius =
diameter =

Answers

Answer:

radius is 9 m and diameter is 2 x9 = 18

Yolanda created a scatter plot of the relationship between the number of times she visited different friends each month, y, and the distance in miles of the friends from her home, x. She calculated the equation of the trend line to be y = −3.5x + 20. Use this information to predict the number of times in one month Yolanda would visit a friend who is 4 miles from her home.

Answers

Answer:

6 times

Step-by-step explanation:

y = −3.5x + 20 ; x = 4

y = -3.5(4) + 20

y = -14 + 20

y = 6

14. A helicopter descends 82 meters to an altitude of 45 meters.
The equation a -- 82 = 45 can be used to find the helicopter's
starting altitude a in meters. What is the starting altitude of
the helicopter? (CC.6.EE.7)
A 37 meters

43 meters
© 127 meters
D 161 meters
A helicopter descends 82 meters to an altitude of 45 meters. The equation a-82=45 can be used to find the helicopters starting altitude a in meters. What is the starting altitude of the helicopter?

Answers

Answer:

C. 127 metres

Step-by-step explanation:

a - 82 = 45

-82 moves to the right of the "=" sign = +82

a = 45 + 82

a = 127 metres (option C)

_________________

#StayPositive - kexcvi

Answer:

c. 127

Step-by-step explanation:

a - 82 = 45

+82 +82 add 82 to both sides

a = 127

Show your work: 1/2x = 10

Answers

1/2x = 10
think of it as 1/2 • x = 10
then multiple both sides by 2
1 • x = 20
so x=20

CAN AYONE PLEASE HELP ME WITH MY HOMEWORK ILL MARK BAINLYIST

Answers

Answer: v-(kx8)

Step-by-step explanation: plz mark me brainliest

Group B & C
Show all work
If Stephen ate 3/4 of the 20 chips below, how many chips did he eat in all?

Answers

20/4 = 5
5 • 3/4 = 15
Stephen ate 15 chips in total

simplifly the expression
5^-4x5^2​

Answers

Answer:

5^-2

Step-by-step explanation:

When you multiply exponents, you can add them if they have like bases.

-4 + 2 = -2

Answer:

It would be x over 25

sum of the age of son and his father is60 and the six year ago the age of father is five time the son what is the age son ?​

Answers

Step-by-step explanation:

...hope it help u.... ..

Here are the boiling points of certain elements in degree Celsius:

•Argon: -185.8
•Chlorine: -34
•Fluorine: -252.87
•Krypton -153.2

List the elements from least to greatest boiling points.​

Answers

Answer:

Fluorine

Argon

Krypton

Chlorine

A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what is the probability that they are of different color​

Answers

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

"How many 2/3 are in 9/8?"

Answers

Answer:

There are 1.6875,  2/3's in 9/8

Step-by-step explanation:

To figure this out you would take 9/8 and divide it by 2/3.

(9/8)/(2/3)=1.6875

What is the value of y in the equation 3(3y-12)=0

Answers

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Select the correct answer.
Which pair of statements correctly compares the two data sets?
O
0
1
2
3
4
5
6
7
8
9
10
11
12
13
0
1
2
3
4
5
6
7
8
9
10
11
12
13
OA. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
OB .
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
OC The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
OD. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
PLZ HELP 44POINTS

Answers

Answer:

A.

Step-by-step explanation:

✔️Find the Mean and Mean Absolute Value of the first data set:

Write out the data values:

1, 2, 4, 4, 5, 5, 6, 7, 9, 9, 9, 11

Mean = sum of all data values ÷ number of data values in the data set

Mean = 72 ÷ 12 = 6

M.A.D = sum of |data value - mean| ÷ the number of data values

|1 - 6| = 5

|2 - 6| = 4

|4 - 6| = 2

|4 - 6| = 2

|5 - 6| = 1

|5 - 6| = 1

|6 - 6| = 0

|7 - 6| = 1

|9 - 6| = 3

|9 - 6| = 3

|9 - 6| = 3

|11 - 6| = 5

Sum of |data value - mean| = 30

M.A.D = 30 ÷ 12 ≈ 2.5.

✔️Find the mean and M.A.D of the second data set following the same steps and formula:

Write out the data:

1, 3, 4, 6, 6, 6, 7, 9, 9, 10, 10, 13

Mean = 84 ÷ 12 = 7

Sum of |data value - mean| = 32

M.A.D = 32 ÷ 12 = 2.7

✔️Comparing both data sets,

The difference of the means = 7 - 6 = 1

Thus, the value of this difference, 1, is less than half of the M.A.D of both sets, 2.5 and 2.7.

A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of
the triangle after dilation. Round your answer to the nearest lenth, if necessary.

Answers

Answer:

58 units

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)

Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary

Answers

Answer:

21 is 84% to 25, so there would be 25 total questions on the test

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Find the derivative of the function using the definition of derivative.
State the domain of the function and the domain of its derivative.
f(x) = 1/10x-1/3

Answers

Answer:

(i) The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

Step-by-step explanation:

(i) Find the derivative of the function using the definition of derivative:

The derivative is defined by the following limit:

[tex]f' = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = \frac{1}{10}\cdot x - \frac{1}{3}[/tex], then the definition of derivative is expanded:

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot (x+h) - \frac{1}{3}-\frac{1}{10}\cdot x +\frac{1}{3}}{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot h }{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{1}{10}[/tex]

[tex]f' = \frac{1}{10}[/tex]

The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) State the domain of the function and the domain of its derivative:

The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

Solve for the length of BA and BC, round your answer to 1 decimal place

Answers

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

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