1. The total length of the stage is 76 feet.
If the trap doors are centered across the
stage, what is the distance from the left
side of the stage to the first trap door?

3. Anna is 26 feet high on a rock-climbing
wall. She descends to the 15-foot mark,
rests, and then climbs down until she
reaches her friend, who is 8 feet from
the ground. How many feet has Anna
descended?

2. An actor starts at point A, walks across
the stage, and then stops at point B
before disappearing through the trap door.
How far does he walk across the stage?
Choose the best answer.

5. Jordan wants to adjust the shelves in his bookcase so that
there is twice as much space on the bottom shelf as on the
top shelf, and one and a half times more space on the
middle shelf as on the top shelf. If the total height of
the bookcase is 0.9 meter, how much space is the
middle shelf on?
A 0.2 m
B 0.3 m
C 0.4 m.
D 0.5 m

6. In a rowing race, the distance between
the teams in first and second place is 5.7
meters. The distance between the teams
in second and third place is one-third that
distance. How much farther ahead is the
team in first place than the team in third?
F 7.6 m
H 2.5 m
G 5.7 m
J 1.9 m

4. Jamilla has a piece of ribbon that is
48.5 centimeters long. For her scrapbook,
she cuts it into two pieces so that one
piece is 4 times as long as the other.
What are the lengths of the pieces?

7. On a subway route, station C is located
at the midpoint between stations A and D. Station B is located at the
midpoint between stations A and C. If the distance between stations A and D
is 2.4 kilometers, what is the distance
between stations B and D?
A 0.3 km
C 1.2 km
B 0.6 km
D 1.8 km

Answer:

7x-9

Step-by-step explanation:

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

P= x+2x-4+4x-5

P =x+6x-9

P =7x-9

P is perimeter

A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.

The equation system is presented below;

10x - 3y = 29       .........equation 1

-3x + 10y = 55     ..........equation 2

As a result of subtracting equation (2) from equation (1), we get;

By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.

13x - 13y = 29 - 55 = -26

Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.

We can see from the subtraction of equivalent representations that the solution for the

The solution for given equation, 13x - 13y = -26, is like the solution for given equation.

The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.

Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.

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Step-by-step explanation:

[tex] - 4x + 3(2x - 5) = 31 \\ - 4x + 6x - 15 = 31 \\ 2x - 15 = 31 \\ 2x = 31 + 15 \\ 2x = 46 \\ x = 46 \div 2 \\ x = 23[/tex]

Answer:You have it right I think

2.46*10^6

Step-by-step explanation:

Because you move the decimal point over 6 spots which gives you the 10 to the sixth.

Answer: 0.4<0.5

Step-by-step explanation:

The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

It is given that:

The list of objects is given in the question.

As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.

Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.

Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

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The value of j in the scaled copy in the polygon is: 0.03.

When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.

Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:

j/0.5 = 0.18/3

Cross multiply

j = (0.5 × 0.18)/3

j = 0.09/3

j = 0.03

Therefore, the value of j in the scaled copy in the polygon is: 0.03.

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The  linear inequality will have a solution of (0,0) is y<-2x and y>-3x.

Option (A) and (D) is correct.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

According to given question we have

a. y<-2x

To put the value of x any y (0,0) we get

=0<-2*0

=0<0

b. y<-3x+4

To put the value of x any y (0,0) we get

=0<-3*0+4

=0<0+4

=0<4

c. y>-2x+6

To put the value of x any y (0,0) we get

=0>-2*0+6

=0>0+6

=0>6

d. y>-3x

To put the value of x any y (0,0) we get

=0>-3*0

=0>0

Therefore, the  linear inequality will have a solution of (0,0) is y<-2x and y>-3x.

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Answer:

5X - 2 = 18

Step-by-step explanation:

5 x 4 = 20

20 - 2 = 18

Answer:

first option

Step-by-step explanation:

They are cumulative because they are constant functions.

The price of a clematis vine, rose bush, and peony plant is given by a set of three linear equations with three variables: 29, 14, 13.

A linear equation is one that has a degree of 1 as its maximum value .In a linear equation, no variable has an exponent bigger than 1, thus.. A linear equation's graph will always be a straight line.

An algebraic equation known as a linear equation has an exponent of 1 for each term, and when it is graphed, it always yields a straight line.

According to given data;

let c is price of clematis vine

let r is price of rose

P is price of peony plants.

bush

c=2p+3

r=c+5+

=3c + 4r+ 2p = 233

b) putting(1) in 2

a 2p+ 3 + 5 2 p +8 -9 putting(1) and (4)in 3

3(2p+3)+4(2p+8) + 2 p² 233

2

6p+9+8p+16+2p = 233

16p=25=233

16 p= 233-25

16p = 208

p=208÷13

p= 13

putting value of p in (1)and(4)

c= 2 p +3

=2X13+3

C = 29

r= 2p+8

 =2×13+8

 =34

price of clematis vines =29

rose bush = 34.

peony plants = 13.

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Answer: They charge $28 per lesson the Equation is 35 + 5x = $175

Step-by-step explanation: He rented the snowboard for $35 and then took 5 hours of snowboarding lessons. Then the whole thing cost $175.

Answer:

9

Step-by-step explanation:

[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]

Answer:

Step-by-step explanation:

z=9(x+2)

z=9x+18

Subtract 18 from both sides

z-18=9x+18-18

z-18=9x

Divide both sides by 9

z-18/9 =x

Therefore

X= z-18/9

The volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

The formula for volume of a cylinder is expressed as;

Volume = πr²h

Where;

Substitute the values

Volume = 3. 142 × 6² × 5

Volume = 3. 142 × 36 × 5

Volume = 565. 56 cubic inches

If the height is doubled, h = 2 × 5 = 10

Substitute the values

Volume = 3. 142 × 6² × 10

Volume = 3. 142 × 36 × 10

Volume = 1131. 12 cubic inches

Thus, the volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

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Answer: Marie ran 4.5 miles on Monday.

Step-by-step explanation: 5.7

                                            +1.2

                                             6.9      

Y= 1764

It is given that y varies jointly as s and n2

From the given question if s = 7 and n = 4 then y =336

So,

y= k * s * n^2

Let k a constant number

 336= k * 7 * 4^2

336 = k  *7* 16

336 = k * 112

Therefore, k = 3

So now we get the General equation i.e

   y= 3 * s * n^2

Now we have to find the value of y when s= 12 and n= 7

Y=3* 12* 7^2

= 3*12*49

=1764

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Answer:

5a-40=-2b

5a-40/-2=-2b/-2

-5a/2+20=b

Answer:

$33.

Step-by-step explanation:

330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.

I hope this helps, have a blessed day! :)

Answer:  $33

Step-by-step explanation:

1 gallon=$3.40

Hence,

Make a proportion:

 34 milles -  $3.40

330 milles - x gallones

Thus,

[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]

The flipped shape has a pair of parallel line

A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.

Since a pair of parallel line do not intersect their is not angle between them.

Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.

Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.

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From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

Here we have the table:

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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The points in the brackets are on the graph are (0, 2) and (6, 10)

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

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Answer:

-113

Step-by-step explanation:

Plug in 7 for x and you get -4(7)² + 10(7) + 13

7² = 49 so -4(49) = -196

10(7) = 70

Add them all up and you get -113 (-196 + 70 + 13 = -113)

Answer:

The answer are given below:

Step-by-step explanation:

1. Roaster form

A={0,1,2,3,4}

Set builder form

A={x: x⊂ w, x<5}

2.

Roaster form

B={2,3,5,7,11,13,17,.................}

Set builder form

B={x: where x is a prime number}

3.

Roaster form

C={jan ,june ,july }

Set builder form

C={x: x is month starting with "J" }

4.

Roaster form

D={4,6,8,9}

Set builder form

D={x: where x is a prime number, x<10}

5.

Roaster form

E={null}

Set builder form

E={x: x is null}

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Answer:

1. (2x + 1) (x - 4)

2. (3y +2 ) (y + 1)

3. (w - 3) (3w + 5)

4. (4s - 1) (s + 7)

5. (x + 5) (2x - 3)

Step-by-step explanation:

Lots of good articles on factoring quadratics - that is what this is called.

Answer:

1. (2x + 1) (x - 4) 

2. (3y +2 ) (y + 1)

3. (w - 3) (3w + 5)

4. (4s - 1) (s + 7)

5. (x + 5) (2x - 3)

Step-by-step explanation:

The standard deviation is provided by this. = 6.7528

Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.

sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)

To find mean of the given data:

Mean = Sum of items/ Count items

Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)

          = 31.6

now finding the variance:

First we  Add All the sample:

32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316

make Square of the solution:

316*316 =99856

and multiply by how many items there are. We have 10 items.

=99856/10

= 9985.6

For the time being, put this number aside.

Take your original set of numbers from Step 1 and square each one this time on its own.

32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396

Subtract the sum from Step 2 from of the sum from Step 3.

10396 - 9985.6 = 410.4

The items in someone data set is reduced by 1 by.10 - 1 = 9

Divide the result of Step 4 even by result of Step 5. You get the variation from this.

410.4 / 9 = 45.6

Your response from Step 6 should be squared. The standard deviation is provided by this.

6.7528

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I understand that the question you are looming for is:

For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

-1+(-3) is  3 units from -1 in the left direction

-1+(-3) is blank units from -1 in the blank direction

-4 is  3 units from -1 in the left direction

because we know that

in the real line if we go 3 units in left from -1 we get -4

since in the real number line

the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............

thus we get  

-1+(-3) is blank units from -1 in the blank direction

-4 is  3 units from -1 in the left direction

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Answer:  m 21=

I got it right on test!

Step-by-step explanation:

The best description of the domain of the function is (c) all whole numbers

The function is given as

C(t) = 0.05t + 20

The input variable of the above function is t

t represents the number of text messages

The number of text messages cannot be negative

Hence, the best description of the domain of the function is (c) all whole numbers

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