MATHEMATICS HIGH SCHOOL

A vegetable garden with an area of 200 square feet is to be fertilized. If the length of the garden is 1 foot less than three times the width, find the dimensions of the garden. Please show work.

Answers

Answer 1
Answer:

Answer:

Dimensions of the garden are 24 feet by 8.33 feet.

Step-by-step explanation:

Let the dimensions of the vegetable garden is length = l and width = w foot

Area of the vegetable garden = 200 square feet

Since length of the garden is 1 foot less than the 3 times the width.

l = 3w - 1

Area of the garden = w × l = 200

w(3w - 1) = 200

3w² - w = 200

3w² - w - 200 = 0

By quadratic formula

w = \frac{1\pm \sqrt{1^(2)+2400}}{6}

  = (1\pm √(2401))/(6)

  = (1\pm 49)/(6)

w = -8 or 8.33 foot

Since dimensions can not be negative therefore, width of the garden will be 8.33 foot

Since l = 3w - 1

           = 3×8.33 - 1

           = 25 - 1

           = 24

Dimensions of the garden are 24 feet by 8.33 feet
Answer 2
Answer: Ok so I like to go in steps with these questions- first draw a picture and identify your variables.

W=width
L= 3w-1

Now we know that length times width gets us area so we plug in our variables into the area equation.

200 = w(3w-1)

When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0

Either factor that or use the quadratic formula to get
w= 8.33 and w= -8

Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.

Final answer:

w= 8.33ft
l= 23.99ft

*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*

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In the statement "height is a function of weight," which variable is the input and which is the output?

Answers

Answer:

weight variable is the input and height variable is the output

Step-by-step explanation:

As per the statement:

\text{

here, height is the dependent value and  weight is the independent value.

or

we can say that weight is the input variable and height is the corresponding output value.

Therefore, weight variable is the input and height variable is the output
input is weight and output is height

Find the value of f(5) for the function
f(a)=5(a+1)-6

Answers

Answer:

To find the value of f(5) for the given function f(a) = 5(a + 1) - 6, you simply need to substitute the value a = 5 into the function and then solve for f(5).

Step-by-step explanation:

Given the function:

f(a) = 5(a + 1) - 6

To find f(5), you need to substitute the value a = 5 into the function.

Start with the original function:

f(a) = 5(a + 1) - 6

Replace 'a' with 5:

f(5) = 5(5 + 1) - 6

Simplify the expression inside the parentheses:

f(5) = 5(6) - 6

Now, perform the multiplication:

f(5) = 30 - 6

Finally, subtract 6 from 30:

f(5) = 24

So, the value of the function f(5) is 24. This means that when the input value is 5, the function evaluates to 24.

hope this helps you!

7) What is a check? What is a money order? 8) When someone writes a check, where is the money coming from?
9) When someone pays with a money order, where is the money coming from?
10) Do you think it is more secure to have someone pay you with a check or a money order? Explain.
12) Amy owns her own business as a landscaper of homes and office buildings. On average, maintaining a homeowner's yard takes 2 hours per month, and Amy is paid $300 per month. The office building require 35 hours of landscaping per month and pay $2,800 monthly. Which type of client do you think Amy prefers? Explain your answer.

Answers

7) Check - a piece of paper that has a certain amount of money deposited or withdrawn from a bank and deposited to a certain person or owner.Money Order - a receipt that shows that the owner (payee) receives and certain amount of money and is therefore payed that amount.8) When someon writes a check, the money usually comes from their bank account.9) When someone pays with a money order, the money usually comes from from a financial bureau.10) A check is better because, checks can be deposited and withdrawn, but money orders are usually money, so there is no proof. Maybe someone might not pay money.12) Find the unit rate -Lawn moving = 300/2 = $150 per hourLandscaping = 2800/35 = $80 per hourLawn moving is the better job, because Amy gets payed more.

V = u + 10t
Work out the value of v when
u = 10 and t = 7

Answers

well, we have to plug in the values and then solve for v

v=10 + 10 times 7

by order or operations 10 times 7=70 plus 10 is 80

so  v=80

if u=10 and t=7

first: plug in the numbers (V=10+10(7))

second: use PEMDAS to solve

Third: 10+ 70=80

V=80

Whats 0.00009999 closest to ?? 0,1/2,or 1 ?
Why

Answers

Well, for the third time in a row Kimberly (Haha jk), let's look at it by decimals. 0=0.00.....1/2=0.50.....1=1.00

0.00009999 would be closeset to 0 because it is the furthest away from the decimal point. The further you move away from the decimal point, the closer you get to zero.

Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. 11.2 5 6.7 9

Answers

distance = sqrt (x2 - x1)^2 + (y2 - y1)^2
(1,2)...x1 and y1
(4,8)...x2 and y2
now we sub
distance = sqrt (4 - 1)^2 + (8 - 2)^2
distance = sqrt (3^2 + 6^2)
distance = sqrt (9 + 36)
distance = sqrt (45)
distance = 6.7 <===
PQ=√(x2-x1)²+(y2-y1)²
     =√(4-1)²+(8-2)²
     =√(3)²+(6)²
     =√9+36
     =√45
     =3√5
     =3*2.236
     =6.708
     =6.79.
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