Lionheart Ranch has bought a new herd of race horses. If there is one stable for every four horses, which equation shows the correct relationship between the number of stables (S) and the number of horses (H)?

Answer:

x = 60°

Step-by-step explanation:

Step 1:

Triangles = Equilateral Triangles           Given

Step 2:

3x = 180          Equation

Step 3:

x = 180 ÷ 3          Divide

Answer:

x = 60°

Hope This Helps :)

Answer:

41 inches

Step-by-step explanation:

The formula for Area of a rectangle is ;

A = L × W

L = Length

W = Width

A rectangle has a length of 31 inches less than 3 times its width.

L = 3W - 31

If the area of the rectangle is 984 square inches, find the length of the rectangle

Hence,

984 = (3W - 31) × W

984 = 3W² - 31W

Hence

3W² - 31W - 984

3W(W - 24) + 4(W - 24) = 0

(3W + 41)(W - 24) = 0

W - 24 = 0

W = 24 inches

We have to find the Length

L = 3W - 31

L = 3(24) - 31

L = 72 - 31

L = 41 inches

The Length = 41 inches

The Length of the rectangle is 41 inches

Answer:

Step-by-step explanation:

Step one:

given data

length of rectangle= 24.5m

let the width be x

width of square= 14m

let the length be x

Step two:

we know that the area of a rectangle is

Ar= Length * width

Ar=24.5*x-----------1

Also, the area of the square is

As= Length * width

for square L=W

As= 14*14-----------------2

As=196m^2

equating 1 and 2 we have

14*14=24.5x

196=24.5x

divide both sides by 24.5

x=196/24.5

x=8m

The Breadth/width of the rectangular park is 8m

Answer:

32

Step-by-step explanation:

Answer:14 is H

Step-by-step explanation:

Answer:

3x+21 (H)

Step-by-step explanation:

9-3(3x-4)+12x

9-(9x-12)+12x

9-9x+12+12x

(9+12)+(-9x+12x)

21+3x or 3x+21

Answer:

-3=9/5c +32

-3*5c=9/5c*5c+32*5c

-15c=9+160c

-15c -160c =9

c(-15-160)=9

c(-15-160)/(-15-160)=9/(-15-160)

c=9/(-15-160)

Answer:  3 =92

               4 = 88

Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88

Answer:

∠3=88 , ∠4=92

Step-by-step explanation:

∠4 + 42° + 46° = 180° (angle sum property of a triangle)

∠4 + 88° = 180°

∠4 = 180° - 88°

∠4 = 92

∠3 + ∠4 = 180° (linear pair)

∠3 + 92° = 180°

∠3 = 180° - 92°

∠3 = 88°

Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

Answer:

Universal set

Step-by-step explanation:

A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...

Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

Answer:

The coordinate of [tex]Z[/tex] is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)

[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)

[tex]X = 0.4[/tex] (3)

[tex]Y = 5.8[/tex] (4)

From (2), we have the following expression:

[tex]YZ = \frac{7}{12}\cdot XZ[/tex]

[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]

[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]

[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]

[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]

[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]

[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)

If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:

[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]

[tex]Z = 13.36[/tex]

The coordinate of [tex]Z[/tex] is 13.36.

Answer:

19.2

Step-by-step explanation:

12x1.6=19.2

Answer:

7.5 miles

Step-by-step explanation:

if one mile = about 1.6 km then you would take the 12 and divide it by 1.6 which will give u 7.5 miles

(also it says high school because of the grade you probably put in)

144+ 18x=360

..............................

Answer:

They left the beach at 2:30

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'd suggest you find the two intercepts and draw a line through them.

y-intercept:  value of y when x = 0.  Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).

x-intercept:  value of x when y = 0.  Letting f(x) = y = 0, we get

0 = -15x + 4, so that 15x = 4, and x = 4/15.  The x-intercept is (4/15, 0).

Plot the points (0, 4) and (4/15, 0) and draw a line thru them.

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

Subtracting 2 puts the equation in standard form:

  2x^2 +x -3 = 0

The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.

For solutions -3/2 and 'p', we have ...

  -3/2p = -3/2

  p = 1

The other solution is x = 1.

Answer:

The probability is [tex]P(X>30)=0.75[/tex]

Step-by-step explanation:

We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].

We need to find [tex]P(X>30)[/tex]

Given a continuous random variable [tex]X[/tex] with distribution :

[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers

The probability density function is :

[tex]f_{X}(x)=\frac{1}{b-a}[/tex]    if x ∈ (a,b)

[tex]f_{X}(x)=0[/tex]  if x ∉ (a,b)

In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :

[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)

[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)

If we want to find [tex]P(X>30)[/tex] we need to perform the integral

[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]

Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞

Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.

If we perform this integral ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]

Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]

Answer:

false, false, true

Step-by-step explanation:

0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh

Answer:

y = 5x² + 3x

(5x) x (5x) = 25x

y = 25x + 3x

25x + 3x = 28x

y =/= 28x

( =/= )  <---- is supposed to be the non equal sign

Answer:

distance from Houston to Galveston in  kilometers will be: 80km

Step-by-step explanation:

Given

The distance from Houston to  Galveston is about 50 miles.

i.e.

Kilometers in 1 Mile = 1.6 km

As the distance from Houston to  Galveston is about 50 miles, so

The distance from Houston to Galveston in  kilometers will be:

50(1.6) = 80   ∵ Kilometers in 1 Mile = 1.6 km

Therefore,

The distance from Houston to Galveston in  kilometers will be: 80km

Answer:

120

Step-by-step explanation:

solve for x then substitute

Answer:

m<WTS = 9 degrees

Step-by-step explanation:

<WTS = <TRS + <TSR  By exterior <'s

14x-6=7x-9+66             Substitute

7x=63                           Algebra

x=9

Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Answer: B

m<G<m<x

Step-by-step explanation:

Just did it

Answer:

the second choice is correct B)m∠G < m∠X

Step-by-step explanation: got it right on edge 2020

Answer: x=-1; x=-5

Step-by-step explanation:

1) [tex]-|x+3|=-2[/tex]

2)[tex]|x+3|=2[/tex]

3) [tex]x+3=2[/tex] or [tex]x+3=-2[/tex]

4) [tex]x=-1; x=-5[/tex]