A scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answer:

x = 2

Step-by-step explanation:

3(2x+1) = 15

6x +3 = 15

6x = 12

x - 2

Answer:

17,960

Step-by-step explanation:

Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.

First of all, we will find the mean of the given data.

[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]

Or

Mean = (200+130+400+500+345)/5

Mean = 1575/5 = 315.

Second step is to subtract the mean from each book cost;

(200-315) + (130-315) + (400-315) + (500-315) + (345-315)

(-115)+(-185)+85+185+30

Next you square the above deviation;

[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]

Then, divide the above by the average which is 5 in this case.

[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]

Hence, the value of the variance is 17,960.

Answer:

36.33

Step-by-step explanation:

The given figure is pentagon

The sum of angles of polygon is (2n-4)*90 where n is number of sides of polygon

for pentagon number of sides is 5

thus, n = 5

\

sum of angles of pentagon = (2*5-4)*90 = 6*90 = 540

Given angles of pentagon

t, 149 , t+144, 3t -11 , t+40

Thus, sum of all these angles should be equal to 540

t + 149 + t+144 + 3t -11 + t+40 = 540

=> 6t + 322 = 540

=> 6t = 540 - 322 = 218

=> t = 218/6 = 36.33

Thus, t = 36.33

Answer:

Hey there!

We see that z is equal to 40, because angles in a triangle add to 180 degrees.

We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.

We see that y is equal to 110, because x+y needs to equal 180.

Hope this helps :)

Answer:

∠x = 70º, ∠y = 110º, ∠z = 40º

Step-by-step explanation:

to find ∠z: 180 - (71 + 69) = 40º = ∠z

the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.

so 180 - ∠z = 2 x ∠x

180 - 40 = 140 / 2 = 70º = ∠x

the angle to the left of ∠x forms 180º with ∠y.

as that angle is 70º, ∠y = 180 - 70 = 110º

Answer:

The mode of the above is 6.

Step-by-step explanation:

Mode-the number that occurs most frequently in a set of numbers.

The six appeared three times being the most.

I really hope this helps.

Answer: 546496.76

Step-by-step explanation:

Given the following :

Current population = 220,000

Population growth rate per year = 7.25%

Population size after 13 years =?

Using the compounding formula :

A = P(1 + r)^t

Where ;

A = final population size

P = current population size

r = growth rate

t = time or period

A = P(1 + r)^t

A = 220,000 ( 1 + 7.25/100)^13

A = 220,000 ( 1 + 0.0725)^13

A = 220,000 (1.0725)^13

A = 220,000(2.484076)

A = 546496.760

The population will be about 546,497 people

Answer:

here,

money spent in 1st year =$250

money spent in 2nd year=$295

total inflated amount=$295- $250

=$45

Then,

inflation rate= ($45/ $250)×100%

=18%

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or we can shift f(x) up to make it become g(x)

Part B

y = f(x + k)  k > 0 moves it left

Using the point ( 2,8) for f(x) and ( 0,8) for g(x)

k is 2 units

g(x) = f(x+2)

y = f(x) + k  k > 0 moves it up

Using the point ( 0,-2) for f(x) and ( 0,8) for g(x)

The difference between -2 and 8 is 10

k = 10

g(x) = f(x) + 10

Part C

for the shift to the left    g(x) = f(x+2)

for the shift up g(x) = f(x) + 10

Answer:

Step-by-step explanation:

12) p & q are parallel lines , n is transversal

4z = 108  { corresponding angles are congruent}

Divide both sides by 4

z = 108/4

z = 27°

n & m are parallel lines , p is transversal

3y = 4z  { corresponding angles are congruent}

3y =  4 * 27

y = [tex]\frac{4*27}{3}[/tex]

y = 4*9

y = 36°

n & l are parallel lines,  q is transversal

6x   = 108 { corresponding angles are congruent}

x = 108/6

x = 18°

Answer:

0.0015 km².

Step-by-step explanation:

It is given that a map is drawn to a scale of 1 cm to 250 cm.

[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]

[tex]1\ cm^2=62500\ cm^2[/tex]

It is given that an airport has an area of 240 cm² on the map. So, its actual area is

[tex]Area=240\times 62500\ cm^2[/tex]

[tex]Area=15000000\ cm^2[/tex]

[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]

[tex]Area=0.0015\ cm^2[/tex]        [tex][\because 1\ km^2=10000000000\ cm^2][/tex]

Therefore, the area of airport is 0.0015 km².

Answer: y = 3(x - 5)² + 4

Step-by-step explanation:

Use the Vertex form:  y = a(x - h)² + k to find the a-value

Given: (x, y) =(0, 79) and (h, k) = (5, 4)

79 = a(0 - 5)² + 4

79 = 25a + 4

75 = 25a

3 = a

Input a = 3 and (h, k) = (5, 4) into the Vertex form:

y = 3(x - 5)² + 4

Answer:

Exponential decay

Step-by-step explanation:

the answer is not linear decrease cause the price doesn't decrease the same every year

.. ..

Answer:

[tex] y = 3x - 1 [/tex]

Step-by-step Explanation:

From the graph given, let's label the lines as line A and line B. As indicated in the attachment below.

The equation of a line is given as y = mx + b

Where, m is the slope, which is:

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

b is the y-intercept. It is the point at which the line crosses or intercepts the y-axis. At this point, x = 0.

Having known this, let's figure out which of the lines has the equation, y = ½x + 4

From the equation given, it means the line's m = ½, and it's y-intercept (b), where the line intercepts the y-axis = 4.

Taking a look at line A and B that we've labelled in the attachment below, line A intercepts the y-axis at 4. This means value of b for line A = 4.

If we calculate the slope (m) for line A using the points labelled in the attachment below, we would arrive at ½ as the slope (m) of line A.

Therefore, the equation y = ½x + 4 is for line A.

Let's find the equation for line B.

=>Find the slope (m) of line B using any 2 coordinate pairs of line B.

We're using the 2 coordinates points, (0, -1), (-1, -4) as indicated in the attachment below.

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] m = \frac{-4 - (-1)}{-1 - 0} [/tex]

[tex] m = \frac{-4 + 1)}{-1} [/tex]

[tex] m = \frac{-3)}{-1} [/tex]

[tex] m = 3 [/tex]

Line B intercepts the y-axis at -1. Therefore, the y-intercept (b) for line B = -1

The equation for line B would be:

[tex] y = 3x - 1 [/tex]

Answer:

see below

Step-by-step explanation:

Angle C is equal to the 1/2 the difference of the two arcs

C = 1/2 ( large DC - small DC)

Large DC = ( 360 - 5x - 2)   sum of a circle is 360 degrees

Small DC = 5x-2  the central angle is equal to the intercepted arc

C = 1/2 ( 360 - 5x-2 - ( 5x -2))  Angle Formed by Two Intersecting Chords

C = 1/2 ( 360 - 2 ( 5x-2))

Distributing the 1/2

C = 180 - (5x-2)

Replacing the C with 2x+7

2x+7 = 180 - (5x-2)

Add 5x-2 to each side

2x+7  +5x-2  = 180

Antonio is correct

Combine like terms

7x +5 = 180

7x = 175

Divide by 7

x =25

Then solve for A = 5x-2

A = 5*25-2

   = 125-2

   = 123

Answer:

Magnitude = 95.29 pounds

Direction = 79.54 degrees

Step-by-step explanation:

Resolve forces into x and y components.

x-component

= 100 cos(50) + 50 cos(160)

= 64.28-46.98

= 17.29

y-component

= 100 sin(50) + 50 sin(160)

= 76.60 + 17.10

= 93.71

Magnitude

= sqrt(x^2+y^2)

= sqrt(17.29^2+93.71^2)

= 95.29

Angle = arctangent(93.71/17.29) = 79.54 degrees

blme branly for nt alloing peole to coment n stuf for m taing u a qestion but the anser above is inorrect, and bainly befre deletng ths maye you will cosider openig cat again, so I on't nee to do tis? and mae ure to deete the queston abve wile at it.

Answer:

1) true

2) false

hope it worked

and pls mark me as BRAINLIEST

Answer:

For the second figure

X=10

Y=30

Step-by-step explanation:

3x=(5x-20).... Alternative interior angles

3x=5x-20

20=5x-3x

20=2x

x=10

2y+4y= 180

6y=180

Y=30

Answer:

(z−5)(z−5)

Step-by-step explanation:

Let's factor z2−10z+25

z2−10z+25

The middle number is -10 and the last number is 25.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -10

Multiply together to get 25

Can you think of the two numbers?

Try -5 and -5:

-5+-5 = -10

-5*-5 = 25

Fill in the blanks in

(z+_)(z+_)

with -5 and -5 to get...

(z-5)(z-5)

Answer: (Z - 5) (Z - 5)

Step-by-step explanation: Just confirming what the other person wrote :)

Answer:

The answer is

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

Hope this helps you

Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

Answer:

a. 12 / 50 = 0.24 or 24%; b. 21 / 50 = 0.42 or 42%

Step-by-step explanation:

1. to find the estimated probability that it will take at least 5 patients to find who it isn't effective on, count the outcomes of EEEE. this means that it was effective on 4 patients, therefore requiring a 5th patient to find the noneffective person.

a. 12 / 50 = 0.24 or 24%

2. to find the estimated probability that it will be effective on exactly 3/4, look for boxes with 3 E's and 1 N (in any order)

b. 21 / 50 = 0.42 or 42%

hope this helps :)

Answer:

Step-by-step explanation:

Let x represent the number of cases of 16-oz cups produced.

Let y represent the number of cases of 20-oz cups produced.

The limitation imposed by available production time is ...

  x + y ≤ 15·8 = 120 . . . . maximum number of cases produced in a day

The limitation imposed by raw material is ...

  14x +18y ≤ 1800 . . . . . maximum amount of resin used in a day

__

The point of intersection of the boundary lines for these inequalities can be found using substitution:

  14(120- y)+18y = 1800

  4y = 120 . . . . . subtract 1680, simplify

  y = 30

  x = 120 -30 = 90

This solution represents the point at which production will make maximal use of available resources. It is one boundary point of the "feasible region" of the solution space.

__

The feasible region for the solution is the doubly-shaded area on the graph of these inequalities. It has vertices at ...

  (x, y) = (0, 100), (90, 30), (120, 0)

The profit for each of these mixes of product is ...

  (0, 100): 25·0 +20·100 = 2000

  (90, 30): 25·90 +20·30 = 2850 . . . . uses all available resources

  (120, 0): 25·120 +20·0 = 3000 . . . . maximum possible profit

The family can maximize their profit by producing only 16-oz cups at 120 cases per day.

Answer:

90 16-oz cases and 30 20-oz cases will maximize resin and time use

120 16-oz cases will maximize profit

Step-by-step explanation:

Answer

5.85

Step-by-step explanation:

$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5

$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35

So 4.5 + 1.35 = 5.85

Answer:

Step-by-step explanation:

Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075

Cost of the conference call after 8 pm   = 0.15 * 0.03 = $ 0. 045

Cost of the conference call from 7pm to 8pm that last  60 minutes= 0.075 * 60

= $ 4.50

Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35

Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85

Answer:

20

Step-by-step explanation:

2 get well cards

4 anniversary cards

6 greeting cards

8 birthday cards

Answer:

Half of its original

Step-by-step explanation:

When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.

Examples:

In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2

In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.

Hope this helps

Good luck

Answer:

3 degrees F

Step-by-step explanation:

if the temperature rose 1* for 7 hours, times 1 by 7. which is 7 and add to -10. which is -3. then, since the temperature rose by 2* for 3 hours, times 2 by 3 which is 6 and add to -3, which is 3.

i hope this helped?

Answer: B

Step-by-step explanation:

The domain of a function is every x-value, and the range is every y-value.

Hope it helps <3

Answer:

B

Domain: (-∞,∞)

Range: (-∞,5]

Step-by-step explanation:

The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.

The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!

Hope this helped and good luck :)

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 30/48

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 30/48)

? = 51.31781255

To the nearest degree

? = 51

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 40/53

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 40/53)

? = 40.99935365

To the nearest degree

? = 41

Since this is a right triangle, we can use trig functions

tan ? = opp/adj

tan ? = 1/2

Taking the inverse tan of each side

tan ^ -1 tan ? = tan ^ -1 ( 1/2)

? = 26.56505118

To the nearest degree

? = 27

Since this is a right triangle, we can use trig functions

sin ? = opp / hyp

sin ? = 29/35

Taking the inverse sin of each side

sin ^ -1 sin ? = sin ^ -1 ( 29/35)

? = 55.95226763

To the nearest degree

? = 56

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

All the triangles are right triangles, we can use trigonometric functions.

5) cos θ  = adj / hyp

cos x = 30/48

cos⁻¹ cos x = cos⁻¹ (30/48)

x = 51.31781...

x ≈ 51

6) cos θ = adj / hyp

cos x = 40/53

cos⁻¹ cos x = cos⁻¹ (40/53)

x = 40.99935...

x ≈ 41

7) tan θ = opp/adj

tan x = 1/2

tan⁻¹ tan x = tan⁻¹ (1/2)

x = 26.56505...

x ≈ 27

8) sin θ = opp / hyp

sin x = 29/35

sin⁻¹ sin x = sin⁻¹ (29/35)

x = 55.95227...

x ≈ 56

Answer:

its a! sorry im so late

Step-by-step explanation: