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.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it pretty much self explanatory

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 )

Answer:

25y²-x²

Step-by-step explanation:

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 : )

Answer:

It would be 1%

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.

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

Answer:

x = 6

Step-by-step explanation:

...

...

...

.....

..

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 ⚜

Answer:

29.64

Step-by-step explanation:

76 x 0.39 =29.64

Have a great day!

Please rate and mark brainliest!!

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

Answer:

See below.

Step-by-step explanation:

5(a-b)

5(-4-(-2))

5(-4+2)

5(-2)

-10

-hope it helps

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

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

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

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.

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

Part (b)

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

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

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.

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

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".

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:

Answer:

Your answer is Option B.arithmetic sequence;9

Pls mark as brainliest!

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

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.

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

linear equation

hope it helps

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

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]

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

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

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

Answer:

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

Step-by-step explanation: