Evaluate the expression shown below and write your answer as a fraction in simplest form. 16/11 − 12/1
​

Answer:

a = 63

b = 117

c = 63

Step-by-step explanation:

The sum of interior angles in a triangle is = 180

so the measure of a:

85 + 32 + a = 180 add like terms

117 + a = 180 subtract 117 from both sides

a = 63

a and be are supplementary angles so their sum is equal to 180

180 - 63 = 117 is the b's value

since a and c are on a pair of parallel lines, their value must be equal therefore the value of c is also 63

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

Answer:

r = - 18/5

I hope this helps! ^^

( This problem has 13 steps, so it would take a lot of time to type them in ^^)

Answer:

[tex]x=\dfrac{2}{3},-\dfrac{3}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]6x^2+5x-6=0[/tex]

First, factor the left side of the given equation.

To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=6\cdot-6=-36[/tex]

[tex]\implies b=5[/tex]

So the two numbers are: 9 and -4

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 6x^2+9x-4x-6=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 3x(2x+3)-2(2x+3)=0[/tex]

Factor out the common term [tex](2x+3)[/tex]:

[tex]\implies (3x-2)(2x+3)=0[/tex]

To solve for x:

[tex]\begin{aligned}\implies (3x-2) & =0 & \implies (2x+3) & = 0\\3x & = 2 & 2x & = -3\\x & = \dfrac{2}{3} & x & = -\dfrac{3}{2}\end{aligned}[/tex]

Therefore:

[tex]x=\dfrac{2}{3},-\dfrac{3}{2}[/tex]

The equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

The expression is given as:

14r^4y^6/7r^8y^2

Start by dividing 14 by 7

2r^4y^6/r^8y^2

Next divide y^6 by y^2

2r^4y^4/r^8

Lastly divide r^4 by r^8

2y^4/r^4

Hence, the equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

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Answer:

D)

Step-by-step explanation:

[tex]\sf f(x) = \sqrt{x+1}\\\\\\g(x) = 7x\\\\ g(f(x)) = g(\sqrt{x+1}) = 7*\sqrt{x+1}[/tex]

Answer:

n² blocks are needed to build a staircase with n steps.

Step-by-step explanation:

The graph of the two given system of inequalities y > 2x - 5

y < -3x is; Attached below

We are given two inequalities;

y > 2x - 5

y < -3x

The graph that represents the 2 inequalities has been attached and from the graph, we see that;

The solution of the system of inequalities is the shaded pink area between the two dotted lines.

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His average monthly expenses are: $750

The given parameters are:

The average monthly expenses are calculated using:

Average = Total expenses/Number of months

So, we have:

Average = (700 + 700 + 800 + 800)/4

Evaluate

Average = 750

Hence, his average monthly expenses are: $750

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Complete the square:

x² - 4x + 6 = 0

x² - 4x = -6

x² - 4x + 4 = -6 + 4

(x - 2)² = -2

But the left side is positive for any real number x, so there are no real solutions.

If you're solving over the complex numbers, we can go on to say

x - 2 = ± √(-2)

x - 2 = ± 2i

x = 2 ± 2i

where i = √(-1).

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24  Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

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Answer:

D and  E

Step-by-step explanation:

did the test

Answer:

Hi,

Step-by-step explanation:

sin(a-b)=sin(a) cos(b)+ cos(a) sin(b)

a=45° and b=30°

[tex]sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=\dfrac{\sqrt{2}}{2}* \dfrac{\sqrt{3}}{2}+\dfrac{\sqrt{2}}{2}*\dfrac{1}{2}\\\\\\\boxed{sin(15^o)=\dfrac{\sqrt{2}}{4}*(1+\sqrt{3} )}\\[/tex]

Hi student, let me help you out! :)

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

We are asked to find how many terms are in [tex]\pmb{10y^2-3y+8}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

So let's compute the number of terms in this expression.

The first term is [tex]\pmb{10y^2}[/tex].

Is anything added or subtracted from 10y²?

Sure! [tex]\pmb{-3y}[/tex] is subtracted from 10y².

Also, 8 is added to -3y.

Thus, this expression has 3 terms.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

Its a for me

Step-by-step explanation:

trust me fuys

Upon searching for your question, I believe there are 8 [tex]\frac{1}{4}[/tex] cups, and not 814 cups.

Answer: 6 [tex]\frac{3}{4}[/tex] cups of water

Step-by-step explanation:

    First, we will turn 12 ounces into units of cups.

         12 / 8 = 1.5 cups

    Now, we will subtract the start of the month from the end of the month.

         8.25 cups - 1.5 cups = 6.75 cups

   Lastly, we will turn it into a mixed number.

         .75 = [tex]\frac{3}{4}[/tex]

         6 [tex]\frac{3}{4}[/tex] cups

     6 [tex]\frac{3}{4}[/tex] cups of water were added to the barrel during the month.

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Answer:

i think the answer is 25q - 5 / 4

Answer:

5.6 is the mean

Step-by-step explanation:

add up everything and then divide it over how many numbers are in the set to find the mean.

give brainliest, please!
hope this helps :)

Answer:

V = 1607.7 in^3

V = 0.94 ft^3

Step-by-step explanation:

To find the volume of a traffic cone, use the formula for the volume of a cone: (1/3)*π*h*r^2

h = height

r = radius of cone

Step 1: determine variables and units

2 feet = 24 inches

diameter = 2 * radius

radius = (1/2) * diameter = (1/2)*16 in = 8 inches

Step 2: determine volume

V = (1/3)*π*h*r^2

V = (1/3)*3.14*24*(8)^2

V = 1607.7 in^3

Optional step 3: determine volume in ft^3

h = 2 ft

r = 0.67 ft

V = (1/3)*π*h*r^2 = (1/3)*3.14*2*(0.67)^2

V = 0.94 ft^3

The value of x is 7 and the measure of ∠1 is 99

The given parameters are:

The sum of angles in a triangle is 180.

So, we have:

5x + 19 + 8x - 11 + 11x + 4 = 180

Evaluate the like terms

24x = 168

Divide both sides by 24

x = 7

Hence, the value of x is 7

The angles on a straight line add up to 180.

This means that:

∠1 + ∠QNM = 180

Subtract ∠QNM from both sides

∠1 = 180 - ∠QNM

Substitute ∠QNM = 11x + 4

∠1 = 180 - 11x - 4

Substitute x = 7

∠1 = 180 - 11 * 7- 4

Evaluate

∠1 = 99

Hence, the measure of ∠1 is 99

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Answer:

15.71 m

Step-by-step explanation:

C = πd

d= diameter

C = π (3.14) * 5

= about 15.71 m

A. 15.71 m

Answer:[tex]5\pi[/tex]

Step-by-step explanation:The circumference is pi times the diameter. If you want a proof you can find it online with a quick search. This applied here means that since the diameter is 5, the circumference is 5*pi or rather 5pi.

Answer:

  78

Step-by-step explanation:

The number of correct problems is found by multiplying the percentage that were correct by the total number of problems.

__

  number correct = fraction correct × number of problems

  number correct = 0.39 × 200 = 78

Serenity answered 78 problems correctly.

_____

Additional comment

The symbol % is fully equivalent to /100. That is 39% = 39/100 = 0.39 (pronounced "thirty-nine hundredths"). Using a percent symbol is just another way to write a fraction.

Answer:

whats nine + 10

Step-by-step explanation:

21

pencil is .10

pen is .90

Step-by-step explanation:

x = pencil y = pen

3x + y = 1.20

7x + 2y = 2.50

try make x or y cancelable

-2 times (3x + y = 1.20) = -6x - 2y = - 2.40

7x + 2y = 2.50

-6x - 2y = - 2.40

x = .10

plug .10 back into one of the equations

3(.10) + y = 1.20

.30 + y = 1.20

y = .90

Answer: 0.5 or - 0.834

Step-by-step explanation: Here is the explanation!

The answer of the following options are as 50, 64, 36, 40, 100, 9, 12, 12 100, 27, 150 42, 50 72, 28.3.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be

[tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

a parts out of b parts of a thing.

[tex]1. \dfrac{2}{5} t = 20\\\\t = 20 \times \dfrac{5}{2}\\\\t= 50[/tex]

[tex]2. \frac{7}{8} p = 56\\\\p = 56 \times \frac{8}{7} \\\\ p= 64[/tex]

[tex]3. \frac{5}{6} x = 30 \\\\x = 30 \times \frac{6}{5} = 36[/tex]

[tex]4. \frac{1}{2} x = 20\\\\x = 20 \times 2 = 40[/tex]

[tex]5. \frac{3}{5} s = 60\\\\s = 60 \times \frac{5}{3} = 100[/tex]

[tex]6. \frac{1}{3} t = 3 \\\\t = 3\times 3 = 9[/tex]

[tex]7. \frac{3}{4} x = 9\\\\x = 12[/tex]

[tex]8. \frac{11}{12} x = 11\\\\x = 11 \times 12/11 = 12[/tex]

[tex]9. \frac{8}{10} t = 80\\\\t = 80 \times 10/8 = 100[/tex]

[tex]10. \frac{p}{3} = 9 \\\\p = 9 \times 3 = 27[/tex]

[tex]11. \frac{n}{5} = 30\\\\n = 30 \times 5 = 150[/tex]

[tex]12. \frac{6a}{7} = 36 \\\\a = 36 \times 7/6 = 42[/tex]

[tex]13. \frac{1}{2} t + 3 = 28\\\\t = (28 - 3)2 = 50[/tex]

[tex]14. \frac{1}{6} r = 12\\\\r = 12\times 6 = 72[/tex]

[tex]15. \frac{11}{12} b = 32\\ \\b = 32 \times 11/12 = 29.33[/tex]

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a) A × B is the Cartesian product of A and B, given by the set

A × B = {(a, b) | a ∈ A and b ∈ B}

Then for A = {4, 6, 8} and {4, 5, 6}, we have the product

A × B = {(4, 4), (4, 5), (4, 6), (6, 4), (6, 5), (6, 6), (8, 4), (8, 5), (8, 6)}

b) The power set of a set X is the set containing all subsets of X. I'm not sure what you're asking to find the power set of, though. Hopefully it's not of A × B, since that would contain 2⁹ = 512 elements...

Instead I'll assume you mean a simpler set, such as A ∩ B. The intersection of A and B is

A ∩ B = {4, 6, 8} ∩ {4, 5, 6} = {4, 6}

and has only 2 elements, so its power set has 2² = 4 elements (much more manageable!) and is the set

Pow(A ∩ B) = {{}, {4}, {6}, {4, 6}}

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

(1/3)/(8/1)

cross multiply

(1*1=1)/(3*8=24)

1/24

Answer:



= 1/24

One third divided by eight is 1/24.





Step-by-step explanation:



first we make an equation then simplfy it further

⇒1/3 ÷ 8

convert the division sign into multiplication by using the mutiplicative inverse of 8

⇒1/3 × 1/8

multiply the numerators together and denominators together

⇒1/24 ...answer...

hope that helps...

Answer: The correct answer is A.

Step-by-step explanation: A line with a positive slope always increases and goes up.

Answer:

Sorry po Hindi ko po alm :(

         There are three main ways of solving quadratic equations. The quadratic formula, factoring, and completing the square.

[1] using the quadratic formula

     When the equation is in the form of ax² + bx + c = 0.

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

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[2] factoring

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[3] completing the square

     To start out with completing the square, make sure your constant is isolated on one side. The equation will be as ax² + bx = -c

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[tex]\displaystyle\\|\Omega|=\binom{72}{4}=\dfrac{72!}{4!68!}=\dfrac{69\cdot70\cdot71\cdot72}{2\cdot3\cdot4}=1028790\\|A|=\binom{46}{4}=\dfrac{46!}{4!42!}=\dfrac{43\cdot44\cdot45\cdot46}{2\cdot3\cdot4}=163185\\\\P(A)=\dfrac{163185}{1028790}=\dfrac{473}{2982}\approx0.1586[/tex]