The diagram at right is the floor plan of Randy's apartment. All measurements are in feet. Use the diagram to answer the following questions.

Answer:  48

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Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

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Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

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Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

The constant of proportionality is 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have [y] varies directly with [x] and y doubles then x.

The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.

y = mx + c

y = mx + 0

y = mx

m = y/x

where [m] is constant of proportionality.

A/C to question -

y = 2x

Here, the constant of proportionality is 2.

Therefore, the constant of proportionality is 2.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:

v = 21

Step-by-step explanation:

the sum of the interior angles of a triangle is 180 degrees

add all 3 angle measures and set equal to 180:  

4v + 2v + 54 = 180

6v = 126

v = 21

Answer:

14 X 73 = 1022

1022/100 X 120 = 1226.4

1226.40 - 1200 = 26.40

No Sam does not have enough she is 26.40 short.

Answer:

15

Step-by-step explanation:

Calculation for What is a reasonable estimate of the number of gallons of gas Karl used

Estimated number of gallons used=619.5 miles/41 miles

Estimated number of gallons used=15

Therefore the reasonable estimate of the number of gallons of gas Karl used is 15

Answer: The fourth set of sides

Step-by-step explanation:

For a set of side lengths to form a right triangle, they have to satisfy the Pythagorean theory [tex](a^{2} +b^{2} =c^{2} )[/tex]

First set of sides

a = 7.5    b = 18    c = 21.5

[tex]a^{2} +b^{2} =c^{2}\\7.5^{2} +18^{2} =21.5^{2} \\56.25 + 324 = 462.25\\380.25 \neq 462.25[/tex]

Second set of sides

a = 7.5   b = 19.5    c = 21.5

[tex]a^{2} +b^{2} =c^{2} \\7.5^{2} +19.5^{2} =21.5^{2} \\56.25 + 380.25 = 462.25\\436.5 \neq 462.25[/tex]

Third set of sides

a = 18     b = 19.25    c = 21.5

[tex]a^{2} +b^{2} =c^{2} \\18^{2} +19.5^{2} =21.5^{2} \\324 + 380.25 = 462.25\\704.25 \neq 462.25[/tex]

Fourth set of sides

a = 7.5     b = 18     c = 19.5

[tex]a^{2} +b^{2} =c^{2} \\7.5^{2} +18^{2} =19.5^{2} \\56.25 + 324 = 380.25\\380.25 = 380.25[/tex]

I hope that helped!

Answer:

A

Step-by-step explanation:

sorry if its wrong but i think its right

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

Answer:

it should be 0.000307

Step-by-step explanation:

Answer:

The answer is 32 squares

Answer:

C. 32

Step-by-step explanation:

9514 1404 393

Answer:

  a) BE = 5; DE = 6; EF = 4

  b) ∠EFC ≅ ∠DA.F ≅ ∠BDE  or  b = e = f = i

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

  E is the midpoint of BC, so BE = EC = 5.

  ADEF is a parallelogram, so DE = A.F = 6.

  D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

     EF = AD = 4

__

As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. b = e = f = i

Answer:

D.

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

3 thousands(•‿•)◉‿◉

Answer:

What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?

a;50

Answer:

4

Step-by-step explanation:

Rate of change is just slope, based on what I know.

Given 2 points : (x1, y1) and (x2, y2)... The slope would be [tex]\frac{y_{2}-y_{1} }{x_2-x_{1}}[/tex].

So for this problem we need to find the slope:

The rate of change is 4 based on my work.

Answer: 5(4+7x) = 20 + 28x

Step-by-step explanation: Multiply each of the terms in the parentheses by 5.

Answer:

(r+1)(r+2)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Since 140° is on the outside, the angle next to it would be 40°.

Also a triangle = 180°

40° + 90° = 130°

180° - 130° = 50°

Thus meaning x = 50°

Answer:

x = 50°

Step-by-step explanation:

- the angle at the top is shown as a right angle so it is 90°

-the 140° angle and the angle next to it are 180° together so let's name the other angle z

z+140=180

z=180-140=40°

- a triangle's angles in total have 180°

x+y+z= 180°

x+90°+40°=180°

x+130 =180

x= 180-130 = 50°

Answer:

Step-by-step explanation:

What is the least common denominator of 1/3 and 1 2?

The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .

Answer:

Yes

Step-by-step explanation:

The two smaller squares have a sum of 169 which is the value of the larger square.

a^2 + b^2 = c^2

25 + 144 = 169

It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2

Answer:

Yes, if we take the square roots of 25, 144 and 169 (5, 12, 13)

Not by using those measures as is (sides of a triangle with 25, 144 and 169).

Explanation:

A right triangle is a triangle with an angle of 90 degrees, and the side facing that angle of 90 degrees is called an hypotenuse.

The hypotenuse measurement squared is equal to the squared measurements of the other two sides:

c² = a² + b²

And those squares do verify the equation:

169 = 144 + 25

So, that's a rectangle (right) triangle, with sides measuring 5, 12 and 13.

Hope this helps :)

Answer:

i think its a but im not sure and i dont know how to explain it

Answer:

-2(x)>30

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. 

x<-15

Step-by-step explanation:

-2(x)>30 means to divide -2 on both sides which is -15.

x>-15

Next you switch the inequality because you multiplied by a negative:

x<-15

Answer: salt

Step-by-step explanation:

Answer:

4/6 is the answer due to the way it is set up within the fraction

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk

Answer:

30 square cm

Step-by-step explanation:

Key skills needed are: Triangle similarity, multiplication, proportions, subtraction

1) We first find that Triangle BCD is similar to triangle ACE. This is because they both have 1 right angle, and both share Angle BCD. Therefore, the other two angles are also the same measure.

2) Based on the statement above, 6/9 = 8/CE (CE just means the length of CE)

3) Solve this by cross multiplying -

[tex] \frac{6}{9} = \frac{8}{ce} [/tex]

This means that 6(CE) = 8(9)

4) Multiply it out: 6(CE) = 72

5) Divide by 6 and get CE = 12 cm.

6) Then use base time height to find the area of both triangles.

7) For triangle BCD: 6(8)/2 = 6(4) = 24 square centimeters

8) For Triangle ACE: 9(12)/2 = 9(6) = 54 square cm

9) To find the area of ABDE, you would subtract the are of triangle ACE by the area of triangle BCD

10) This is 54 - 24 = 30 square cm.

Hope you understood and have a nice day!! :D

Answer:

i belive it is 19

Step-by-step explanation:

i hope this helps

Answer:

d

Step-by-step explanation: