Please answer this question with full working and explanation
And I reward that person with stars. ​

Please Answer This Question With Full Working And Explanation And I Reward That Person With Stars.

Answers

Answer 1

Answer:

3 7/12

Step-by-step explanation:

First find the common denominator.

8,16,24

3,6,9,12,15,18,24

Once you find the common denominator. You have to fix the numerator.

7 2/8 would become 7 6/24

Whole numbers stay the same.

8 x 3 = 24

2 x 3 = 6

Now we repeat it on the other mixed number.

3 2/3 would become 3 16/24

Again whole numbers stay the same.

3 x 8 = 24

2 x 8 = 16

Once you convert the fractions to having the same denominator you subtract like normal.

7 6/24 - 3 16/24 = 3 14/24

3 14/24 can be simplified to 3 7/12

Answer 2

Answer:

[tex]\boxed{3 \dfrac{7}{12}}[/tex]

Step-by-step explanation:

The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].

⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]

⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]

⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

The next step in simplifying the expression is to make the denominators of both fractions equivalent.

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

The third step in simplifying the expression is to subtract the fractions.

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

⇒ [tex]\dfrac{86}{24}[/tex]

The fourth step in simplifying the expression is to simplify the difference of the two fractions.

⇒ [tex]\dfrac{86}{24}[/tex]

⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]

⇒ [tex]{\dfrac{43}{12}}[/tex]

The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.

⇒ [tex]{\dfrac{43}{12}}[/tex]

⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]

⇒ [tex]3 + \dfrac{7}{12}[/tex]

⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]


Related Questions

HELP been stuck for 1 hour please​

Answers

Answer:

B

Step-by-step explanation:

First, we find the equivalent decimal numbers:

-1.75 = -1.75

-7/10 = -0.7

-1 5/7 = -1.7142...

-0.07 = -0.07

Descending order of the equivalent decimal numbers:

-0.07, -0.7, -1.7142..., -1.75

Now we replace the equivalent decimal numbers with the original numbers.

-0.07, -7/10, -1 5/7, - 1.75

Answer: B

30 POINTS! Explanation too, please!
Point A' prime is the image of point A under a rotation about point P. Determine the angles of rotation. Choose all answers that apply: (Choice A) 90 degrees clockwise (Choice B) 90 degrees counterclockwise (Choice C) 180 degrees (Choice D) 270 degrees clockwise (Choice E) 270 degrees counterclockwise

Answers

180 degrees since all of the angles are in a straight line. could not be 270 because that would be obtuse and 90 would be closer to A

sec x * cos x =
How do I solve this:/

Answers

Answer: [tex]cot(x)[/tex]

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

[tex]secant=\frac{1}{sine}[/tex]

Therefore, rewriting the intial equation, you get:

[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]

This might seem random, but you should know that tangent is defined as:

[tex]tangent=\frac{sine}{cosine}[/tex]

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]

Write the number names 438543=
ii)80,100,001​

Answers

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.18 and 24.96 minutes. What is the margin of error in this report

Answers

Answer:

The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.

Step-by-step explanation:

The margin of error in the report is 2.39.

What is the margin of error?

The margin of error is a statistic that describes how much random sampling error there is in survey data.

Given that, the upper interval is 24.96 and the lower interval is 20.18.

The margin of error is half of the difference between the upper and the lower interval.

Therefore, the margin of error is:

Margin of error = (24.96 - 20.18)/2

                        = 4.78/2

                        = 2.39

Hence, the margin of error in the report is 2.39.

Learn more about the margin of error:

https://brainly.com/question/10501147

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Find the missing angle.

Answers

Answer:

y=51, z and x= 129

Step-by-step explanation:

its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.

y=51
z=180-51=129
x=180-51=129

A cone with a height of 4 in, and a diameter of 6 in. Find the surface area and Volume​

Answers

if its diameter is 6, then its radius is half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]

Identify any intervals of increase y = -4(x –3) ^2

Answers

Increasing on (-infinity , 3)

Answer:

-4

Step-by-step explanation:

<symbol means squared or increase and so does ( )

Please help me with this please and thank you

Answers

answer is C thank you very much

Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)

The first four terms of an arithmetic sequence are 7, 14, 21, 28... Calculate the sum of the first 50 terms.

Answers

Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750

If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.

Answers

Answer:

x = 28

Step-by-step explanation:

4x-16 = 2(x+20)

4x-16 = 2x+40

Divide 2x from each side:

2x-16 = 40

Add 16 to each side:

2x = 56

Divide each side by 2:

x = 28

Mr. Vance opened an account with a deposit of $650.
• The bank pays 1.25% interest compounded annually on this account.
• Mr. Vance makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 12 years?

Answers

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

76 in^2

Step-by-step explanation:

2 rectangles on the sides: 64 in^2

8x4 = 32

32x2 = 64

rectangle in the middle: 12 in^2

4x3 = 12

altogether area: 76 in^2

64+12 = 76

can someone help me ? ​

Answers

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?

Answers

Answer: 338 boys

1) Formulate an equation

The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.

2) Isolate the variable

Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.

3) Plug the variable

Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.

Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.

SOLVE equations, SHOW WORK, AND EXPLAIN

Answers

Answer:

They are not equivalent.

Step-by-step explanation:

5(3a+2)=15a+10

15a+10≠15a+2

Answer:

not equivalent.

Step-by-step explanation:

5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.

15a+10≠15a+2

if you wanted to go further, since 15a is equivalent, just take it out.

10≠2

The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)

Answers

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this

Answers

[tex]1000000000 \times 43000000 = 43000000000000000[/tex]

please help!!!!!!!!!! hurrrrrryyyyyyy!!!!!!!!!!!

Answers

Answer:

∠ ABC = 60°

Step-by-step explanation:

the measure of an inscribed angle is hal the measure of its intercepted arc.

∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°

Answer:

Step-by-step explanation:

The measure of the inscribed angle is half the measure of intercepted angle.

∠ABC  [tex]= \dfrac{1}{2} * 120\\[/tex]

            = 60°

             

Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity. ​

Answers

Using the relation between velocity, distance and time, it is found that:

Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:

[tex]v_1 + v_2 = \frac{64}{4}[/tex]

[tex]v_1 + v_2 = 16[/tex]

[tex]v_1 = 16 - v_2[/tex]

In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:

[tex]v_1 - v_2 = \frac{64}{16}[/tex]

[tex]v_1 - v_2 = 4[/tex]

Since [tex]v_1 = 16 - v_2[/tex]:

[tex]16 - v_2 - v_2 = 4[/tex]

2v2 = 12.

v2 = 6.

v1 = 16 - 6 = 10 km/h.

Hence:

Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

You have 31 coins consisting of nickels and
dimes. The coins total $2.25. How many coins
are nickels? How many are dimes?

Answers

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

[tex]0.05x +0.10y = 2.25[/tex]

[tex]x+y = 31[/tex]

Solving for x yields:

[tex]x=31-y[/tex]

We then proceed by plugging that back into the previous equation:

[tex]0.05(31-y)+0.10y=2.25[/tex]

[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute

[tex]1.55 +0.05y=2.25[/tex] --> add y's together

[tex]0.05y=0.7[/tex] --> subtract 1.55

[tex]y=14[/tex] --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.

John Travolta flew his plane last weekend. What would be the angle measure of∠x when his plane reached an altitude of 2500m?

Answers

Answer:

67°

Step-by-step explanation:

Ignore the 2500m for now.

To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.

Therefore, the angle measure of ∠x is 67°

Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

plot the points

0,0

1,3

2,6

3,9

if anything else is needed inform me.

Given a+b=7; a-b=3, find the following, 3^a divided by 3^b

Answers

Answer:

27

Step-by-step explanation:

a+b=7; a-b=3

Add the two equations together

a+b=7

a-b=3

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

2a + 0b = 10

2a = 10

Divide by 2

2a/2 = 10/2

a = 5

a+b = 7

5+b = 7

b = 7-5

b = 2

3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27

Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work

Answers

Answer:

  f(x) = (x +3)(x +1)(x -2)

Step-by-step explanation:

When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.

__

The three zeros give rise to a polynomial with three factors:

  f(x) = (x -(-3)) · (x -(-1)) · (x -2)

  f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function

__

This can be expanded using the distributive property.

  f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6

  f(x) = x³ +2x² -5x -6 . . . . . standard form

If a=2, b=-1 and c= 1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c

Answers

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

I need the vocab word for problems 5-8

Answers

Answer:

5. Foci, 6. eccentricity, 7. Center, 8. Hyperbola

Step-by-step explanation:

Below statements include the required information or property

5. An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".6. In an ellipse, the ratio c/a is called the eccentricity and is denoted by the letter e . Eccentricity measures the elongation of an ellipse. The closer e is to 0, the more an ellipse looks like a circle.7. A circle is a set of all points in a plane that are all an equal distance from a single point, the center.8. Hyperbolas have a center and two foci, but they do not form closed figures like ellipses

A shipping container has a base area of 25.5 square yards and a height of 3.5 yards.
What is the volume of 3 of these shipping containers?
Enter your answer as a decimal in the box.

Answers

The volume of 3 of shipping containers 267.75 cubic yards.

We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.

For similar question on volume.

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if a=6, evaluate the following expression:
10+a/4

Answers

Answer:

11.5

Step-by-step explanation:

10 + a / 4    if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

What can you take from 60 to make 20?

Answers

40.

60 - 20 = 40.

Very simple.

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