1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rama09 [41]
3 years ago
11

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 t

he 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!!
Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

You might be interested in
Y – 1 = 2(x – 2), solve for y
solmaris [256]

Answer:

y = 2x-3

Step-by-step explanation:

y – 1 = 2(x – 2)

Distribute

y-1 =2x-4

Add 1 to each side

y-1+1 = 2x-4+1

y = 2x-3

6 0
2 years ago
A dozen eggs cosy $1.32 at the grocery store .how much profit would a restaurant make if the sold 1 scramble egg for 99 cent
tatuchka [14]
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11    <--    The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88    <--    The profit the restaurant makes per egg is 88 cents.

Hope this helps.
5 0
3 years ago
Which of the following functions is graphed below?
mrs_skeptik [129]

Step-by-step explanation:

For y = x^3 - 4 when x = 0, y = -4.

For y = x^2 + 3 when x = 0, y = 3.

Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.

The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.

Hence the answer is D.

3 0
3 years ago
P divided by 5 equals -32
Lostsunrise [7]

Answer:

p = -160

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

p/5 = -32

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Multiply 5 on both sides:                     p = -160
6 0
2 years ago
Read 2 more answers
Can anyone help check if my calculation is correct or wrong?
8_murik_8 [283]
It’s correct good job
6 0
3 years ago
Read 2 more answers
Other questions:
  • Jody is feeding her dog from a 10-pound bag. The dog goes through 1 1/4 pounds of food each week. Enter, in decimal form, how ma
    9·1 answer
  • Como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme
    14·1 answer
  • Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14... Which expression can Tara use to find the nth t
    12·2 answers
  • What is the value for B, after the equation cap a equals start fraction three over seven end fraction left parenthesis cap b min
    15·1 answer
  • G(x)=4x^2+1 <br> What’s the answer
    13·1 answer
  • Write a number in the blank that makes this question true<br> 43+29=__+60
    13·1 answer
  • 1.<br> 12 pizzas cost $20. What will 20 pizzas<br> costa
    13·2 answers
  • An artist is selling children's crafts. Necklaces cost $3.25 each, and bracelets cost $2.50 per each. The artist plan to have a
    15·1 answer
  • For each 50 mm of coloured fabric Nick uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of whit
    13·1 answer
  • Please help me!! asap!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!