Mickey drew a scale drawing of the room in his junior high building using the scale 1 centimeter (cm) - 1.5 meters (m). the office in his scale drawing measured 2.6 cm * 3.2 cm. what
are the actual dimensions of the office?

2.6 m x 3.2 m

1.7 m x 2.1 m

3.9 m x 4.8 m

4.1 m x 47 m

The volume of each marble is 0.05 liter

The volume function is given as:

w = 32 - 0.05n

The variable n represents the number of marbles.

This means that 0.05n represents the volume of n marbles and 32 represents the total volume of the glass tank

To get the volume of each marble, we divide 0.05n by n

i.e.

Volume = 0.05n/n = 0.05

Hence, the volume of each marble is 0.05 liter

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Answer: pi/4 and -1

Step-by-step explanation:

The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.

Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.

There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.

Then the probability is:

P = 3/9 = 1/3.

The correct option is A.

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Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for

The solution to the questions are:

As a general rule, the sum of cubes x³ and y³ is:

x³ + y³= (x+y)(x² - xy + y²)

Replace x with a and y with b

a³ + b³= (a + b)(a² - ab + b²)

Hence, the expression that represents the factoring pattern is (a + b)(a² - ab + b²)

The equation is given as:

x³ + 2x² - 9x = 18

Subtract 18 from both sides

x³ + 2x² - 9x - 18 = 0

Factorize the expression

x²(x + 2) - 9(x + 2) = 0

Factor out x + 2

(x²- 9)(x + 2) = 0

Express x²- 9 as a difference of two squares

(x + 3)(x - 3)(x + 2) = 0

Split

(x + 3)  = 0 or (x - 3)  = 0 or (x + 2) = 0

Remove brackets

x + 3  = 0 or x - 3  = 0 or x + 2 = 0

Solve for x

x = -3, x = 3 and x = -2

Hence, the solutions of the equation x³ + 2x² - 9x = 18 are x = -3, x = 3 and x = -2

The polynomial equation is given as:

0 = x³ + 2x² - 5x - 6

Rewrite as:

x³ + 2x² - 5x - 6 = 0

Factorize the expression on the left-hand side

(x + 3)(x + 1)(x - 2) = 0

Split

x + 3 = 0 or x + 1 = 0 or x - 2 = 0

Solve for x

x = -3 or x = -1 or x = 2

Hence, the other roots are x = -3 and x = 2

The expression is given as:

(x² - 1) - (x³ - 2x + 1)

Expand

x² - 1 - x³ + 2x - 1

Collect like terms

- x³ + x² + 2x - 1 - 1

Evaluate the like terms

- x³ + x² + 2x - 2

Hence, the result of subtracting the expressions is - x³ + x² + 2x - 2

The polynomial is given as:

y = (x² - 1)(x + 2)(x + 4)

Express x² - 1 as a difference of two squares

y = (x - 1)(x + 1)(x + 2)(x + 4)

The power of each factor in the above expression is 1.

This means that the largest multiplicity is 1

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Answer:

Coefficients: 7, -4.

Step-by-step explanation:

In the expression 7x-4x^2, the terms are 7x and -4x^2. There are no constants here, which would just be a number by itself. Coefficients are integers written alongside or multiplied by the variable.

In this expression, the variable x has two coefficients (one per term). These are 7 and -4.

Answer:

7

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

The constant of proportionality in terms of the number of flowers per plant is 5.

If two quantities varies directly to each other i.e if y varies proportional to x then

y =kx   .....[1]  where, k is the constant of proportionality.

Suppose, y represents the number of roses and x represents the number of plants.

Given is the graph shows a proportional relationship between the number of plants and the number of flowers on the plants.  The graph attached below has the coordinates points,

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

Substitute any coordinate points like (3, 15) in above equation to find k.

15 =k x 3

k = 5

Therefore, the constant of proportionality in terms of the number of flowers per plant is 5.

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Answer:

5

Step-by-step explanation:

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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Answer:

6¹¹

Step-by-step explanation:

Simplifying the numerator :

Solving the expression :

Answer:

The correct answer is 13%.

Step-by-step explanation:

We can easily put in the equation:

95 - 82 = 13

Hope this helps:) Goodluck!

Answer:

1.01 teaspoons is equal to 5 ml

Step-by-step explanation:

it goes up by ( 0.202884 )

1 ml 0.202884 tsp

2 ml 0.405768 tsp

3 ml 0.608653 tsp

4 ml 0.811537 tsp

5 ml 1.0144 tsp

6 ml 1.2173 tsp

7 ml 1.4202 tsp

Hope This Helped

Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

The approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

The missing part of the question is represented by the following function:

[tex]T(h) = \frac{386 + 110h}{h}[/tex]

10:00 a.m is 3 hours after 7:00 am and 1:00 p.m is 6 hours after 7:00 am.

This means that:

h = 3 at 10:00 am

h = 6 at 1:00 pm

Next, we calculate T(3) and T(6)

[tex]T(3) = \frac{386 + 110*3}{3} =238.7[/tex]

[tex]T(6) = \frac{386 + 110*6}{6} =174.3[/tex]

The average rate of change is then calculated as:

[tex]T'(h) = \frac{T(3) - T(6)}{3 - 6}[/tex]

This gives

[tex]T'(h) = \frac{238.7 - 174.3}{-3}\\[/tex]

Evaluate

T'(h) = -21

This means that the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

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Answer:

Part A = 7

Part B = 1

I hope this is right, sorry if it isn't

Answer:

See below

Step-by-step explanation:

5 cups cheese    /  ( 2/3 cup cheese/plate ) =

 5 * 3/2  = 15/2   = 7 1/2     or   7 full plates

2/3 cup cheese / plate  * 9 plates  =

   2/3 * 9 = 6 cups cheese   total

       she has 5 cups to start.....she will need 1 cup more

Answer:

  C.  ∆LMN ~ ∆OPQ, because of AA

Step-by-step explanation:

All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.

__

No sides are given as congruent, so no congruences can be proved.

Two pairs of corresponding angles are said to be congruent, so we can say ...

  ∆LMN ~ ∆OPQ, because of AA

Answer:

Nadya have 11 pieces of ribbon

Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

Answer:

x=11

y=0

Step-by-step explanation:

Don't know if this is what you're looking for but this is correct if you plug it in.

X + 4y = 11    Get x by itself.  x=-4y+11  and plug it into the bottom.

X - 6y = 11

simplify -4y+11-6y=11

11-10y=11

-10y=0

y=0 plug it into the original and you will get

x=11

x=11

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-3)]^2 + [0 - 4]^2}\implies d=\sqrt{(1+3)^2 +(-4)^2} \\\\\\ d=\sqrt{32}\implies d\approx 5.66[/tex]

Answer:

see explanation

Step-by-step explanation:

∠ CZD = 90° , then

∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°

∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so

∠ AZG = 40°

∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so

∠ GZE = 50°

E

∠ AZB + ∠ BZC = 90° , that is

3x - 2 + 32 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

Scalene obtuse.

Step-by-step explanation:

Scalene means that none of the sides are the same.  You can tell by looking at the triangle that none of the sides are the same.  An obtuse triangle is a triangle with one obtuse angle.  It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.

Answer:

See below.... several options

Step-by-step explanation:

Change is $3.56

  3 dollar bills    one 50 c piece     one nickel      one penny

  (though 50 cent  pieces are uncommon.....this may be 2 quarters)

[For a while , there was $ 2 bills

   so it could be   one 1 dollar bill and one $ 2 bill instead of three dollar bills]

Answer:  Choice C

[tex]\frac{\sqrt[12]{55,296}}{2}[/tex]

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

Explanation:

Recall the process to rationalize the denominator is to multiply top and bottom by the denominator expression. This only works if we have a square root in the denominator.

For cube roots, we'll need to multiply two copies of the denominator to top and bottom. This will get us three copies of [tex]\sqrt[3]{2}[/tex] so that the cube root goes away.

Check out the steps below to see what I mean:

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}\\\\\\\frac{\sqrt[4]{6}\sqrt[3]{2}\sqrt[3]{2}}{\sqrt[3]{2}\sqrt[3]{2}\sqrt[3]{2}}\\\\\\\frac{6^{1/4}*2^{1/3}*2^{1/3}}{\left(\sqrt[3]{2}\right)^3}\\\\\\\frac{6^{3/12}*2^{4/12}*2^{4/12}}{2}\\\\\\\frac{\left(6^3*2^4*2^4\right)^{1/12}}{2}\\\\\\\frac{\left(55,296\right)^{1/12}}{2}\\\\\\\frac{\sqrt[12]{55,296}}{2}\\\\\\[/tex]

In short,

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}=\frac{\sqrt[12]{55,296}}{2}[/tex]

We have the 12th root of 55,296 all over top the integer 2. The "2" is not part of the 12th root. This shows why choice C is the final answer.

Answer:

C

Step-by-step explanation:

Answer:

C. 3x + 2y = 12

explanation:

The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

From the figure:

Volume = 2500 cubic ft

(10)(x)(25) = 2500

250x = 2500

x = 10 ft

Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

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Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Answer:

4 different ways

Step-by-step explanation:

there are four different ways she can post it because there are four posters she want to hang on the wall.