Danny has a scale drawing of his house. If
3 inches (in) on the scale drawing equals
7 feet on the real house, what is the actual
height of the house?
5.4 in

A. Find the unknown term of each proportion.

1. Answer: X=5

Step-by-step explanation:

x/7=15/21 ==> 21x=7(15) ==> 21x=105

21x/21=105/21 ==> x=5

2. Answer: X=40.5

Step-by-step explanation:

27/x=x/3 ==> 27(3)=x(x) ==> 81=2x

81/2=2x/2 ==> x=40.5

3. Answer: X=16

Step-by-step explanation:

8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8

72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16

4. Answer: X=8

Step-by-step explanation:

3/x=30/80 ==> 3(80)=30x ==> 240=30x

240/30=30x/30 ==> x=8

5. Answer: M=56

Step-by-step explanation:

m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56

9m-8m=8m-8m+56 ==> m=56

B. Solve the following.

1. Answer: 80 and 100

Step-by-step explanation:

4:5 ==> 4x+5x=180 ==> 9x=180

9x/9=180/9 ==> x=20

4(20)= 80            5(20)=100

2. Answer: 235.29

Step-by-step explanation:

3400/8 ==> 425

100,000/425= 235.29

Answer:

not telling u, imbecil

Step-by-step explanation:

hahhahahahah

Answer: WY = 27

Step-by-step explanation:

Due to WX being a Perpendicular Bisector WY = WZ

4x - 5 = 2x + 11

Add 5 to both sides

4x = 2x + 16

Subtract 2x from both sides

2x = 16

Divide by 2

x = 8

So 4x - 5 of x = 8

4*8 = 32 - 5 =27

Answer:

27

Step-by-step explanation:

WY = WZ because XZ = XY

[tex]2x + 11 = 4x - 5\\(2x + 11) - 11 = (4x - 5) -11\\2x = 4x - 16\\-2x = -16\\x = 8\\\\WY = 4x - 5\\WY = 4(8) -5\\WY = 32 - 5\\WY = 27[/tex]

Answer:

The horizontal distance is 46.1 miles.

Step-by-step explanation:

Here, the given question can be explained by the sides of a right angled triangle. Let x represent the horizontal miles, then applying an appropriate trigonometric function;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]7.9^{o}[/tex] = [tex]\frac{6.4}{x}[/tex]

0.1388 = [tex]\frac{6.4}{x}[/tex]

x = [tex]\frac{6.4}{0.1388}[/tex]

  = 46.1095

x = 46.1 miles

The plane needs to travel a horizontal distance of 46.1 miles.

Answer:

what are we rounding? like what is your question?

Step-by-step explanation:

**if you answer you have my promise and i'll go back and provide an actual answer**

Answer:

9.8 units

Step-by-step explanation:

distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2

sqrt (-3 - (-6))^2 + (5 - 1)^2

sqrt (9)^2 + (4)^2

sqrt 81 + 16

sqrt 97

9.848857802

Answer:

$220.5

Step-by-step explanation:

To answer this simply multiply the number of hours (25.2) times the hourly wage 8.75 and you'll get the answer

25.2 times 8.75 equals 220.5

Answer:

the answer is 1-1, 1-2, 1-3, 1-4

Step-by-step explanation:

Answer:

Yes, the fraction are equivalent

Step-by-step explanation:

Fraction shaded by candy = 2/4

Fraction shaded by Hershel = 1/2

If candy's fraction of 2/4 is reduced to it's lowest term ;

2 /4 = 1 /2 ; we also obtain the same fraction obtained by Hershel.

Hence, 2/4 is equivalent to 1/2

Answer:

x = 18

Step-by-step explanation:

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

So, 20/8 = (4x + 3)/30

8(4x + 3) = 20(30)

32x + 24 = 600

32x = 576

x = 18

Answer:

B is your answer

Step-by-step explanation:

Answer:

(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)

We know that we have:

12 red checkers

12 black checkers.

A total of 24 checkers.

All of them are in a bag, and all of them have the same probability of being drawn.

Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)

p = 12/24 = 1/2

And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)

q = 12/23

The joint probability is equal to the product between the two individual probabilities:

P = p*q = (1/2)*(12/23) = 0.261

T

Answer:

C

Step-by-step explanation:

14/25=0.56 0.56x300=168

Based on the survey,

168 students like hip-hop music.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Marty conducted a survey in his first period class to determine student preferences for music.

Out of 25 students, 14 like hip-hop music best.

That means, the ratio is 14/25 = 0.56.

There are 300 students in Marty's school.

Based on the survey,

the number of students = 300 x 0.56 = 168 students like hip-hop music.

Therefore, 168 students like hip-hop music.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ6

Answer:

The answer to this question is $14,916

Step-by-step explanation:

18,469 - 3,553 = 14916

As he already has money for the car.

A bar model is shown in the linked picture.

Answer:10

Step-by-step explanation:believe me bro

To the nearest minute, it will be 10 minutes until there are 70 grams of the element remaining.

The time the element took to decay can be found by using the following formula:

[tex]F=P(1-r)^{t}[/tex]

Where:

We can find the answer by substituting the values.

[tex]F=P(1-r)^{t}\\\Rightarrow 70=840(1-0.229)^{t}\\\Rightarrow \frac{70}{840} =(1-0.229)^{t}\\0.0833=(1-0.229)^{t}\\t=9.56\\\approx10 \text{ minutes}[/tex]

Therefore, we have found that the element will take around 10 minutes to have 70 grams remaining.

Learn more about element decay here: https://brainly.com/question/15759852

#SPJ2

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

Answer:

400

Step-by-step explanation:

Answer:

HEHEHEHEHEH

I've been waiting for this moment

Feels good to be alive right about now

Good, good, good, good to be alive right about now

Good, good, good, good to be alive right about now

Hallelujah, let that bass line move ya, say hey

Step-by-step explanation:

Have fun

Answer:

A

Step-by-step explanation:

This should Help

Answer:

x = 74°

Step-by-step explanation:

supplementary angle to 94° = 86°

x = 180° - 20° - 86° = 74°

Answer:

They cross at point (0.571, 4.429)

Step-by-step explanation:

I just did it and got it correct

Please mark me Brainliest

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

9x - 2y = 46 → (1)

x + 2y = 14 → (2)

Adding the 2 equations term by term will eliminate the y- term

10x + 0 = 60

10x = 60 ( divide both sides by 10 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Substituting into (2)

6 + 2y = 14 ( subtract 6 from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (6, 4 )

Answer:

True

False

False

Step-by-step explanation:

Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

Answer:

8845 billion

Step-by-step explanation:

Since exponential growth is given by;

P = a( 1 + r)^t

Where;

P = amount spent after t years

r = exponential growth rate

t = time interval

2004 - 2014 is an interval of 10 years. If 5430 billion was spent in 2004 and the growth rate has been 5% each year, then;

P= 5430 * 10^9(1 + 5/100)^10

P = 8845 * 10^9

P = 8845 billion

Answer: The other team is extra information. 150 – 60 = 90

He got 90 yards running.

Step-by-step explanation:

Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

Answer:

13.) 237 millimeters

14.) 87.5 feet (87 feet 6 inches)

15.) 28

16.) 121 degrees

Step-by-step explanation:

16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).

Here r = 18 ft and s = 38 ft, and so:

                                     38 ft

s = rФ becomes Ф = ------------ = 2.111 radians

                                     18 ft

which, in degrees, is:

2.111 rad      180 deg

------------- * --------------- = 121 degrees, to the nearest degree

  1            3.142