A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of the square area, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and x yards long.


1.The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.

2. Use your equation from part a to find the dimensions of the roped-off rectangular area.

please help so i can pass my class!!

Answer:

4

Step-by-step explanation:

i dont really know how to explain i used an algebra calculator

Answer:

3 ft per minute

Step-by-step explanation:

Take the distance and divide by the time

3/4 ft ÷ 1/4 minute

Copy dot flip

3/4 * 4/1

Rewriting

3/1 * 4/4

3/1 *1

3 ft per minute

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

Answer:

[tex]\frac{-17}{15}[/tex]

Step-by-step explanation:

When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, [tex]\frac{3}{30} - \frac{20}{30}[/tex]. This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing [tex]\frac{-17}{30} *2[/tex] equals [tex]\frac{-17}{15}[/tex].

Answer:

The correct option is;

D x + y ≤ -4, 3·x + 2·y  ≤-5

Step-by-step explanation:

A. For the system of inequality, x + y < -4, 3·x + 2·y  <-5

We have;

y < -4 - x, When x = 3, y < -7

y < -2.5 - 1.5·x, When x = 3, y = -7

B. For the system of inequality, x + y ≤ -4, 3·x + 2·y  <-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y < -2.5 - 1.5·x, When x = 3, y < -7

C. For the system of inequality, x + y < -4, 3·x + 2·y  ≤-5

We have;

y < -4 - x, When x = 3, y < -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

D. For the system of inequality, x + y ≤ -4, 3·x + 2·y  ≤-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y  ≤-5.

Answer:

The correct answer is the final option, 2.

Step-by-step explanation:

[(16+4) - 10] - 8

Our first step in this problem, according to the order of operations, is to simplify what is inside the parentheses.  Since there are multiple sets of parentheses, we must simplify the innermost group first.  If we add 16 and 4, we get:

[20 - 10] - 8

Next, we must perform the subtraction inside the parentheses.  This gives us:

10 - 8

Now, we can perform the final operation.  

10 - 8 = 2

Therefore, the correct answer is 2.

Hope this helps!

Answer:

Question 1: $100

Question 2: Myself

Question 3: Yes, because you get to buy things you might have been wanting, or saving up for.

Question 4: Yes, because its an easier way of shopping, and gets sent straight to your home.

Step-by-step explanation:

Hope this helps.

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

Answer:

d = 19/5 or, 4.75 in decimal form

Step-by-step explanation:

Answer:

75%=x-125

90%=x+250

subtract the second from the first

15%=375

100%=?

100%×375/15

100%=2500marked price is 2500

2500+250=2750

90%=2750

100%=?

cost price=3055.56

Answer:

{x | x is a real number}

Step-by-step explanation:

f(x) = 5x – 7

There are no restrictions on the value that x can take

The domain is all real numbers

Answer:

In the given expression, that is, f (x) = 5x - 7, we can say:

x satisfies all the real values starting from -∞ to ∞.

domain of 5x-7

Interval notation for f (x):

(- ∞ , ∞)

So, the domain will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.

Answer:

28 : 37

Step-by-step explanation:

Find how many male teachers there are by subtracting 9 from 37:

37 - 9

= 28

Create a ratio with this to the total number of teachers:

28 : 37

So, the ratio of the number of male teachers to the total number of teachers is  28 : 37.

Answer:

291 cm³

Does the answer help you?

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

Answer:

c

Step-by-step explanation:

x³ - y³ ← is a difference of cubes and factors as

x³ - y³ = (x - y)(x² + xy + y²)

Given

[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1

Multiply through by xy to clear the fractions

x² + y² = - xy ← substitute into second factor of expansion

x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c

Answer:

The answer is C. 0

Step-by-step explanation:

since

[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]

we multiply both sides by xy to cancel their denominators and multiply -1 by xy

so we have

[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]

we get our answer as

[tex] {x}^{2} + {y}^{2} = - xy[/tex]

we were given the difference of cubes that is

[tex] {x}^{3} - {y}^{3} [/tex]

which is =

[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

so since,

[tex] {x}^{2} + {y}^{2} = - xy[/tex]

we substitute,

[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]

Answer:

To fine the missing value JUST transpose

___ -(-5) = -7       {- * - = +}

___ +5 = -7

___ = -7-5

___= -12

so the missing place is -12

Answer:

-12

Step-by-step explanation:

Answer:t below the pool’s surface. What is the total length of Tommy’s dive?

7 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x + 4y = 8   ⇒   4y = 8 - 5x  ⇒  y = (8 - 5x)÷4

2x − 3y = 17

2x - 3(8 - 5x)÷4 = 17    

          ×4            ×4    

8x - 3(8 - 5x) = 68

8x - 24 + 15x = 68

          +24       +24

           23x  =  92  

           ÷23      ÷23

               x = 4

Answer:

it is 4

Step-by-step explanation:

i did it on edge hope it helps.:)

Answer:

...

Answer:

  GH = 16; CH = 12

Step-by-step explanation:

First of all, you need to understand the meaning of "perpendicular bisector." It means that GH is divided into two equal parts by line AC, and that AC makes a right angle to GH.

The right angle is marked.

(a) The length of one of the halves of GH is marked as being 8 units long, so the other half will also be 8 units long. Of course, the length of GH is the sum of its two halves:

  GH = GB +BH = 8 + 8

  GH = 16

__

(b) Triangles CBG and CBH share side CB, so have that length in common. They have equal lengths BG and BH because BC bisects GH. They have a right-angle at B in common, so can be considered congruent by SAS, the fact that two congruent sides have a congruent angle between them.

Since triangles CBG and CBH are congruent, their corresponding sides CG and CH are also congruent. Side CG is marked 12 units long, so CH will be 12 units long, also.

  CH = 12

You could shortcut all of the congruent triangle logic by recognizing that an altitude (CB) is a perpendicular bisector of the base (GH) if and only if the triangle is isosceles. The sides of an isosceles triangle are always congruent, so CG = CH = 12.

__

In part (c), you're supposed to choose possible theorems for demonstrating the congruence of the triangles we described above.

Answer:

the function is a y-intercept

Step-by-step explanation:

y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.

Because it says y=-9/4, we can assume that m, or the slope equals 0.

so when you plug it in, you get

y=0x-9/4

y=-9/4

Answer:

-2.45

Step-by-step explanation:

Answer:

-2.45

Step-by-step explanation:

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer:.

Step-by-step explanation:.

Answer:

17:16

Step-by-step explanation:

Number of employees exceeded their sales quota = 17

Number of employees met their sales quota = 13

Number of employees didn't exceed their sales quota = 3

Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota.

Answer:

4/15

Step-by-step explanation:

Add up the unshaded part

1/3 +2/5

Get a common denominator

1/3 *5/5 + 2/5 *3/3

5/15 + 6/15

11/15

Subtract this from 1 for the entire circle

15/15 -11/15

4/15

4/15 is shaded

Answer:

answer is

[tex] \frac{4}{15} [/tex]

Step-by-step explanation:

explanation is in the picture!

Answer:

B

Step-by-step explanation:

it is defined for all values so D=R

also we can get any value

so Range =R

Answer:

B

Step-by-step explanation:

because that's odd power function it can take both, negative and positive values

Answer:4 ans x is -32/10

7 ans b  is 6

10 ans x is 25/7

13 ans x is 9/2

Step-by-step explanation:

please mark this answer as brainlist

Answer:

Step-by-step explanation:

The expression

- 3x³

To find the value of the expression when

x = 4 substitute the value of x that's 4 into the expression

We have

- 3(4)³

= - 3( 64)

The final answer is

Hope this helps you