what expression is equivalent to 1/3y

1. 1/3(y+12)-12
2. 1/6y+1/3(y+3)
3. 1/6y+1/6(y+12)-2
4. 1/3y+1/3(6-y)

The length of BC , AC and AD is 4 , 10 , 14.

Length is the distance between two points , It is measured in cm , m , km etc.

It is asked to calculate the length of BC , AC , AD

For BC

Point B is on point 0 and Point C is on point 4.

BC=|b−c|

BC=|0−4|

BC=4

For AC

Point A is on point -6 and Point C is on point 4.

AC=|a−c|

AC=|-6−4|

AC= 10

For AD

For AC

Point A is on point -6 and Point D is on point 8.

AD=|a−c|

AD=|-6−8|

AD= 14

Therefore the length of BC , AC and AD is 4 , 10 , 14.

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The true statement is the circle has the radius equal to 7.

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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The graph for Mei Mei' trip is attached accordingly. Also attached are the  values derived from the question.

The secret to comprehending the graph is to understand that every time Mei Mei spent while she was on the way to bank and back were are all computed cumulatively.

This means that when she stops at the store which is 8 blocks away from home (that is 2 blocks per min x 4 mins = 8blocks) the time spent is recorded as 4 + 5 at location 8 blocks, which is equals 9 minutes.

Also take note of the fact that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

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The correct expression is (82/n) - 26 ,The operations include division and subtraction , To evaluate, substitute 2 for the variable in the equation , the value of the expression is 15 , Option D, E and F is the answer.

An expression is the mathematical statement consisting of variables , constant and mathematical operators .

It is given that the expression has to be formed from the data

the quotient of 82 and a number, decreased by 26

Let the number from which it is divided is n then

quotient * divisor = 82

quotient = 82 /n

(82/n) - 26 is the expression formed from the data

When n =2

the expression value is

41 -26

15

The correct expression is StartFraction 82 Over n EndFraction minus 26.

The operations include division and subtraction.

To evaluate, substitute 2 for the variable in the equation , the value of the expression is 15.

Therefore Option D, E and F is the answer.

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Answer:D.E.F

Step-by-step explanation:

In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).

In triangle ABC,

According to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.

Hence,

SA/SB=CT/BT

⇒SA/10=2.7/9

⇒SA=(2.7*10)/9

⇒SA=3

So, the length of SA is 3 ft.

Therefore the 3rd option is correct.

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Answer:

Ans : 3578.83 feet from the ground

Step-by-step explanation:

You can use sine theory so

sine 32 = height/6400

6400 x sine 32 = height

Easy

The missing blanks have been filled.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Total time taken to hike is 8 hours

Let the time taken in hours is represented by t

and the elevation is represented by h

Every hour, the hikers gain 250 feet in elevation.

The independent variable is t , time taken to hike , in hours .

The dependent variable is h , increased elevation in feet or elevation the hikers have gained .

A possible verbal description is Elevation at any given time equals 250 times the time taken to hike.

The equation h = 250 t corresponds to the relationship.

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Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

[tex]12^2+9^2=x^2\\144+81=x^2\\x^2=225\\x=15[/tex]

Answer:

Step-by-step explanation:

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Let

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

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Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

From the question, we have the following highlights:

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

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Answer:

a) a=17/16, b=3/8     (17/16, 3/8)

b) x=12/17, y=25/17     (12/17, 25/17)

Step-by-step explanation:

I attached the work for solving the equations with substitution method... Sorry it took a bit of time and this would've been easier if the question's asking for elimination lol

Answer:

x = 20, y = 60

Explanation:

Angles which lie in a straight line sum ups to 180°

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

Using the same theorem,

3x + y + 3x = 180

3(20) + y + 3(20) = 180

60 + 60 + y = 180

120 + y = 180

y = 180 - 120

y = 60

or

y = 3x

y = 3(20)

y = 60

The value of x is 20° and the value of y is 60°.

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

As per the vertical angles theorem and vertical angles theorem,

the two angle equations as per the opposite angle and supplementary angles.

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

And another equation can be described as,

3x + y + 3x = 180

6x + y = 180

6(20) + y = 180

y = 180 - 120

y = 60

Therefore, x = 20 degrees and y = 60 degrees.

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The common denominator is 3a²

The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

For the given data the table can be made as shown below. The marginal distribution of tenure in counts can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

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Answer:

how?

Please Attach Figure so someone can Solve...

Step-by-step explanation:

Step-by-step explanation:

sin(theta)=4/7

cos(theta)=√1-sin²theta

=√1-(4/7)²

=√1-16/49

=√(49-16)/49

= √33/49

=(√33)/7

Answer:

D. Intersecting lines.

Step-by-step explanation:

The lines are intersecting each other.

The reason it is not perpendicular lines is because perpendicular lines have 90° angles.

Hope this helps!

If not, I am sorry.

Answer:

240

Step-by-step explanation:

Using the straight line formula; y=mx+c, take two points, for example, (4, 80) and (5, 100)

m=change in y/change in x, so;

m=(100-80)/(5-4)= 20

Take point (4, 80)

80=20×4 + c

80-80=c=0

so y=20x

y=20×12=240

Answer:

12

Step-by-step explanation:

Input interpretation: triangle | vertex coordinates (-3, 5) | (-3, 2) | (1, 2) | perimeter

Result: 12

Properties of Triangle:

Answer:

B

D

A

C

Step-by-step explanation:

Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.

The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

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Mrs. Phillips needs to buy 8 packs of floor boards

In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

As per the figure attached Mrs. Phillips floor plan can divided into two rectangles

The area of rectangle is as follow:

Area = length(l) x Width(w)

Area of part 1 will be:

A = 6 x 2 = 12 m²

Area of part 2 will be :

a = 3 x 2 = 6 m²

Total area of floor = A + a

Total area of floor = 12 + 6

Total area of floor = 18 m²

Given one pack of floor boards will cover 2.5 m².

So total pack of floor block needed will be as follow:

Total pack of floor block = Total area of floor/Area covered by one pack of floor boards

Total pack of floor block = 18/2.5

Total pack of floor block = 7.2 packs ≈ 8 packs

Hence Mrs. Phillips needs to buy 8 packs of floor boards

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If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.

The given functions are f(x)=-3x-5 and g(x)=4x-2.

We need to find the value of (f-g)(x)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)

= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)

= -7x-3

Therefore, the value of  (f-g) (x) is -7x-3.

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Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]

We subtract the exponents when dividing terms with the same base.

The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Hii!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

r^6

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

To simplify this we need to use the division property of exponents:

[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.

Let's apply this rule here.

[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].

[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents

[tex]\twoheadrightarrow\sf r^6[/tex]

[tex]\bullet[/tex] Great job! We found the answer

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

The total hours joe spent watching TV each day for two weeks is 12 1/2 hours

Total hours spent watching TV for two weeks = Number of hours × days

= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)

= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2

= 8 + (1+2+9+6) / 4

= 8 + 18/4

= 8 + 4 2/4

= 8 + 4 1/2

= 12 1/2 hours

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Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.