What is the value of the expression?

(7 2/3−4 8/9)+(5 2/3−2 1/2)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer 1

Answer:

  5 17/18

Step-by-step explanation:

Your calculator can help with this.

__

The integer parts of the mixed numbers can be dealt with separately. The fractional parts are added and subtracted using a common denominator. Here, that denominator is the least common multiple (LCM) of 2, 3, and 9, so is 18.

  ((7 2/3) -(4 8/9)) +((5 2/3)) -(2 1/2))

  = (7 2/3) +(5 2/3) -((4 8/9) +(2 1/2))

  = 12 4/3 -(6 +8/9 +1/2)

  = 13 6/18 -(6 +16/18 +9/18)

  = 13 6/18 -(6 +25/18) = 13 6/18 -(7 7/18)

  = (13 -7) +(6/18 -7/18)

  = 6 -1/18

  = 5 17/18

__

Additional comment

Doing the math in the manner shown above means you can mostly do it without a calculator. If you like, you can convert all of the numbers to improper fractions, then add those. This often requires a calculator.

  = (138/18 -88/18) +(102/18 -45/18)

  = 50/18 +57/18

  = 107/18 = 5 17/18

What Is The Value Of The Expression?(7 2/34 8/9)+(5 2/32 1/2)Enter Your Answer As A Mixed Number In Simplest

Related Questions

Keith's chocolate bar is 39% cocoa. If the weight of the chocolate bar is 76 grams, how many grams of coca does it contain? Round your answer to the nearest tenth.

Answers

Answer:

29.64

Step-by-step explanation:

76 x 0.39 =29.64

Have a great day!

Please rate and mark brainliest!!

Need help with this, super confused on the last question. Please anything helps!

Answers

Answer:

On Wednesday they sold 5, over the four days they sold 19, and the third I believe it is 26.32 . Please rate me and mark me brainliest!

Step-by-step explanation:

Viola is putting stamps in a book. She has 1,488 stamps. Each page in the book can hold 62 stamps. How many pages will she need for all of her stamps.
A 12
B 18
C 24
D 32

Answers

Answer:

Answer is C. 24

Step-by-step explanation:

1488 ÷ 62 = 24

Answer:

Yes, I agree with other person it is 24

Step-by-step explanation: 1488/62=24

So, your answer is C

༼ つ ◕_◕ ༽つ

.....................

Answers

Answer: 3

Explanation:
There’s models equal 3 1/2 and the whole number of that fraction is 3

Help Please I’ll Give Brainliest :)

Answers

Answer:

5 tables

Step-by-step explanation:

3 = 24

1 = 24 ÷ 3 = 8

40 chairs = 40 ÷ 8 = 5

Hope this helps!

Answer:

5 tables

Step-by-step explanation:

3 * 8 = 24

5 * 8 = 40

7 * 8 = 56

8 * 8 = 64

5(a-b)if a=-4 and b=-2

Answers

Answer:

See below.

Step-by-step explanation:

5(a-b)

5(-4-(-2))

5(-4+2)

5(-2)

-10

-hope it helps

GIVING OUT BRAINLIEST!

At a restaurant, a children's meal gives a choice of four entrées: burger (B), chicken (C), pizza (P), or spaghetti (S), and two sides: apple (A) or fries (F).

Which sample space represents all the ways a child could choose one entree and one side for his or her meal?

A) BA, BF, CA, CF, PA, PF, SA, SF

B) BA, CA, PA, SA

C) BF, CF, PF, SF

D( B, C, P, S, A ,F​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it pretty much self explanatory

New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firms believe that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. Backen and Hayes LLC has developed the following probability distribution for x= number of new clients seeking tax advice.x f(x)20 .0525 .2030 .2535 .1540 .1545 .1050 .10a. Is this a valid probability distribution? Explain.b. What is the probability that Backens and Hayes LLC will obtain 40 or more new clients?c. What is the probability that Backens and Hayes LLC will obtain fewer than 35 new clients?d. Compute the expected value, variance, and standard deviation of x.

Answers

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x      20   25   30      35   40  45 50

f(x) 0.05 0.2 0.25  0.15  0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

2.5 (y+ 2/5) = -13

What is y? Show your work.

Answers

Answer:

[tex]y = \frac{ - 67}{5} [/tex]

Step-by-step explanation:

[tex]y + \frac{2}{5} = - 13[/tex]

* Subtract 2/5 from both sides

[tex]y + \frac{2}{5} - \frac{2}{5 } = - 13 - \frac{2}{5} [/tex]

[tex]y = \frac{ - 67}{5} [/tex]

solve the inequality:

||x-3|-2|≤1

Answers

Answer:

x = 6

Step-by-step explanation:

...

...

...

.....

..

1/2 divided 3/5 (also please explain how you did)

Answers

Answer: 5/6

Step-by-step explanation:

1/2 / 3/5 (you have to divide so you invert the 3/5 and multiply)

1/2 x 5/3 (then you multiply the upper numbers and write them up, and multiply the lower numbers and write them down

multiply (5y+x)(5y-x)

Answers

Answer:

25y²-x²

Step-by-step explanation:

Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)

Answer:

A.) the addition property of equality and then the division property of equality

Step-by-step explanation:

Got It Right. Trust me

Can someone help and explain

Answers

Answer:

∠ A ≈ 43.1°

Step-by-step explanation:

Using the Sine rule in Δ ABC , that is

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )

29 × sinA = 20 × sin82 ( divide both sides by 29 )

sinA = [tex]\frac{20sin82}{29}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )

Evaluate 14+(-9)-(-9)

Answers

Answer:

14

Step-by-step explanation:

Because two 9's cancel out each other so 9 is what is left.

Hope it helps!

Answer:

14

Step-by-step explanation:

14+(-9)=14-9=5-(-9)-5+9=14

what is the percentage of a 1:100 solution

Answers

Answer:

It would be 1%

HISTORY Refer to the stem-and-leaf plot below.

Answers

Part (a)

Count the number of individual digits in the leaf category only.

For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.

The second row has 17 leaves in it

So far we have 3+17 = 20 people accounted for.

Keep this process going until you get every row.

You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.

To verify the answer, you can look it up on any history website dealing with this point in time.

Answer: 56

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

Part (b)

The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)

Answer: 26

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

Part (c)

The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.

Subtract the oldest and youngest ages to get the range.

range = max - min = 70 - 26 = 44

There's a 44 year gap between the oldest and youngest person.

Answer: 44

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

Part (d)

No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".

what is a 2 step equation equivalent to 12?

Answers

Answer:

[tex]\sqrt{x-3} = 3[/tex]

Step-by-step explanation:

3r+2e=-6 what is the correct answer for that​

Answers

linear equation

hope it helps

The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?

Answers

Answer:

- 4, - 1, 2, 5

Step-by-step explanation:

To find the range, simply substitute each of the domains into the function to get the y-values.

f(-2) = 3(-2) + 2

      = - 6 + 2

      = - 4

f(- 1) = 3(-1) + 2

       = - 3 + 2

       = - 1

f(0) = 3(0) + 2

     = 0 + 2

     = 2

f(1) = 3(1) + 2

    = 3 + 2

    = 5

The range is - 4, -1, 2, 5.

The sales tax rate is 10%. If Liam buys a wheelbarrow priced at $94, what will be the total cost including tax?​

Answers

Answer:

$9,4

Step-by-step explanation:

Multiply the number by 10 over 100

Hey there!

=> [tex]\fbox{94 × 10/100}[/tex]

=> [tex]\fbox{ 940/100}[/tex]

=> [tex]\fbox{9.4}[/tex]

[tex] We \:add\: 9.4\: to\: 94[/tex]

=> [tex]\fbox{94 + 9.4}[/tex]

=> [tex]\fbox{103.4}[/tex]

Therefore, total cost is 103.4

What is another way to write 300 + 20 + 5

Answers

Answer:

25+300

320+5

305+20

Step-by-step explanation:

Answer:

Your answer is: 1) 150+160+15 2) 45+200+80 3) 300+5+20

Step-by-step explanation:

Hope this helped : )

100×100×500-30+150+200×300=​

Answers

Answer is 5060120 or 5.06012*10^6

Andrew and his children went into a grocery store and he bought $12 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.

Answers

X + Y = 16
1(X) + 0.60y =12
I used the process of elimination.
Subtract everything.
0.40y = 4
Then divide
Y= 10
Therefore, he bought 10 bananas and 6 apples.

The number of apples and bananas andrew and his children bought is 6 and 10 respectively.

Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16


What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
                                        = 16 - 6
                                        = 10

Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Tell whether the sequence is arithmetic. If it is, identify the common difference.
11,20,29,38,...

A. arithmetic sequence;-9
B. arithmetic sequence;9
C. arithmetic sequence;11
D. not an arithmetic sequence

Answers

Answer:

Your answer is Option B.arithmetic sequence;9

Pls mark as brainliest!

ASAP HELP RN
Ashley is diving in the ocean. She wants to reach a coral reef that is 60 feet below sea level; that is, the reef’s elevation is -60 feet. She decides to safely descend to the reef from the ocean’s surface in increments of 10 feet. Answer the following questions to learn more about Ashley’s rate of descent

Part B
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.

Part C
Is the number of increments in part B positive or negative?

Part D
Rewrite the expression from part B by distributing -1 from each of the negative numbers.

Part E
If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

Part F
Based on your work so far, how many increments of -10 feet are in -60 feet?

Part G
Copy and paste this image into the space below the correct number of times to show an elevation of -60 feet.

Part H
Suppose that Ashley’s brother, Alex, makes the same dive in 4 increments instead of 6 Write a numerical expression to represent Alex’s elevation change in feet per increment.

Part I
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know?

Part J
What was Alex’s elevation change in feet per increment?

Answers

Answer:

Part B: is -60 divided by -10

Part C: is The number of increments is positive.

Part D: is -1 times 60 / -1 times 10

Part E: is Any number divided by itself is 1. In the expression  -1 times 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6

Part F: is There are 6 increments of -10 feet in -60 feet.

Part G is: copy and paste -10 feet 6 times

Part H: is -60 / 4 increments

Part I: is there is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Part J: is -60 /4 =-15     Alex’s elevation change in each increment was -15 feet.

Step-by-Step Explaination: I did the test.

Answer:

A:-10 or -10 feet

B:-60/-10 or -60 feet/-10 feet

C: The number of increments is positive.

D: -1 X 60/ -1 X 10 or -1 X 60 feet/ -1 X 10 feet

E: Any number divided by itself is 1. In the expression -1 X 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6.

F: There are 6 increments of -10 feet in -60 feet

G: copy and paste 6X

H:-60 feet / 4 increments

I: There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

J:-60/4 = -15 Alex's elevation change in each increment was -15 feet

Hope this helps

1. Label each representation below as a "Function" or "Not a function".
a.
b.
o.
х
у
{(-2,9), (0, -4), (3, 12), (1, 1))
-1
1
-1
2
-1
3
-1
4
Function
not a function
not a function

Answers

Answer:

a. Function

b. Function

c. Not a function

Step-by-step explanation:

Here is a basic rule to determine if a relation is a function of not:

1. A function has only one exact y-value (range) assigned to each x-value (domain).

2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.

Bearing these in mind, let's label the given representation accordingly:

a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.

b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.

c. The table shows a repeating x-values. This is definitely not a function.

A park has 2 flagpoles 20m apart. One pole is 12m high and the other is 27m high. Calculate the angle of depression from the top of the taller pole to the top of the shorter pole. Round off your answer to the nearest hundredth.

PS. Please put an illustration/drawing of the problem. Thank you!

Answers

Answer:

37°

Step-by-step explanation:

Here it is given that there are two flagpoles which are 20 m apart. One of them is 12m high and the other is 27m high .And we are interested in finding the angle of depression from the top of taller pole to the top of shorter pole .

For illustration, refer to the attachment or below ,

Illustration :-

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(0,1){6}}\put(0,0){\line(1,0){4}}\put(4,0){\line(0,1){4}}\multiput(0,4)(0.6,0){7}{\qbezier(0,0)(0,0)(0.5,0)}\qbezier(0,6)(0,6)(4,4)\put(0,6){\vector(1,0){3}}\qbezier(0.8,6)(1,5.8)(0.6,5.7)\put(1,5.6){$\theta$}\qbezier(3.2,4.42)(3,4.1)(3.25,4)\put(2.4,4.15){$\theta$}\put(-0.5,-0.5){A}\put(-0.5,6){E}\put(-0.5,3.8){D}\put(-0.8,5){15m}\put(4.3,-0.5){B}\put(-1.2,2){$ 27m $}\put(3.2,6){$ F $}\put(4.5,2){$ 12m $}\put(4.3,3.8){C}\put(-1,1.8){\vector(0,-1){1.8}}\put(-1,2.4){\vector(0,1){3.7}}\put(2,-0.5){$ 20m$}\put(2,3.5){$ 20m$}\end{picture} [/tex]

Here the angle of depression will be ,

[tex]\longrightarrow\sf \angle_{of \ depression}=\angle FEC [/tex]

Also ,

[tex]\sf\longrightarrow \angle FEC =\angle ECD \ (alternate \ interior \ angles)[/tex]

Let ,

[tex]\sf\longrightarrow \angle FEC =\angle ECD = \theta \ ( say ) [/tex]

Now in ∆ EDC , we have;

[tex]\sf\longrightarrow tan\theta =\dfrac{perpendicular}{base}\\ [/tex]

[tex]\sf\longrightarrow tan\theta =\dfrac{15m}{20m}\\[/tex]

[tex]\sf\longrightarrow tan\theta =\dfrac{3}{4}\\ [/tex]

[tex]\sf\longrightarrow \theta =tan^{-1}\bigg\lgroup \dfrac{3}{4}\bigg\rgroup\\ [/tex]

[tex]\sf\longrightarrow \underline{\boxed{\textsf{\textbf{$\boldsymbol{\theta}$= 37$^{\bf o }$ }}}} [/tex]

And we are done!

Answer:

θ = 37°

Step-by-step explanation:

In the figure,

Distance between the poles = DC = 20 m

Height of the smaller pole = ED = 12 m

Height of the larger pole = AC = 27 m

Now, by using the properties of a rectangle,

DC = EB = 20 m

ED = BC = 12 m

Then,

AB

= AC - BC

= 27 - 12

= 15 m

We know that,

tan (θ) = opposite side / base side

Then, in △ ABE,

(Here, θ = missing angle)

tan (θ) = AB / BE

tan (θ) = 15/20

tan (θ) = 3/4

=》 θ = 37°

___________

Note:

Ray A & BE are parallel horizontal lines with AE as the transversal, so both the angles are equal to each other as then they will be alternate interior angles & they are represented in this question as 'θ'.

[Refer to the attachment for the figure]

____________________

Hope it helps ⚜

A box contains six red popsicles, two blue popsicles, and eight orange
popsicles. If a popsicle is drawn at random, what is the probability that it is
not blue?

Answers

Answer:

7/8

Step-by-step explanation:

add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify

total popsicles = 14

blue = 2

not blue = 12

12/14 × 100 = 85.71

Final answer = 85.71

How do you write 36.42 as a mixed number

Answers

36.42 as a fraction is 1821 / 50
so as a mixed number it would be 36 21/50
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