Which decimal is equivalent to the fraction 9/11?

Answers

Answer 1
Answer: to find the decimal just divide the numerator by the denominator 
9/11 is .81

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A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

Answers

Answer:

170.

Step-by-step explanation:

We have that A = W*L where A= Area, W= width, L=length and that W = 13+L. So,

A = (13+L)*L

1764 = 13L +  L^2

L^2 + 13L - 1764 = 0.

We use the general formula in the image where a=1, b=13 and c= -1764.

L1= \frac{-13+\sqrt[2]{169-4*(-1764)} }{2}

L1= \frac{-13+\sqrt[2]{7225} }{2}

L1= (-13+85)/(2)

L1= 36.

L2= \frac{-13-\sqrt[2]{169-4*(-1764)} }{2}

L2= (-13-85)/(2), this result will be negative and the problem is about length so it doesn't apply for this problem. We use L1= 36.

Then, L=36, W = 13 + 36 = 49. Therefore, the perimeter is 2L+2W = 72+98=170.

Hello,
Here in France we call length the greater side of a rectangle.
So:
Let a the greater side
b the shortest

a=b+13
a*b=1764
==>b*(b+13)=1764
==>b²+13b-1764=0
==>b=(-13-85)/2 to exclude
or (b=(-13+85)/2=36 and a=36+13=49)

P=2(a+b)=2(36+49)=170 (m)
Proof:
49-36=13
36*49=1764


Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?g(x) = –9(x2 + 2x + 1) – 7
g(x) = 4(x2 – 6x + 9) + 1
g(x) = –3(x2 – 8x + 16) – 6
g(x) = 8(x2 – 6x + 9) – 5

Answers

Answer:

g(x) = 8(x2 – 6x + 9) – 5

Step-by-step explanation:

A function with a form (x - a)^2 - b where a and b are some constants are a transformation to the right and down from the parent function, f(x) = x^2.  Then,  option:

g(x) = 4(x2 – 6x + 9) + 1 = 4(x - 3)^2 + 1

is discarded

The vertex form of a quadratic equation is f(x) = c*(x - h)^2 + k, where c, h and k are all constant, and point (h,k) is the vertex of the quadratic function. If c > 0, then the vertex is a minimum and if c < 0 then the vertex is a maximum. Therefore, options:    

g(x) = –9(x2 + 2x + 1) – 7 = -9(x + 1)^2 - 7

g(x) = –3(x2 – 8x + 16) – 6 = -3(x - 4)^2 - 6

are dicarded

In consequence, the correct option is:

g(x) = 8(x2 – 6x + 9) – 5 = 8(x - 3)^2 - 5

Answer:

The last choice is the one you want

Step-by-step explanation:

First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward.  The first and the third parabolas are negative so they open upside down.  That leaves us with choices 2 and 4.  We find the side to side and up or down movement by finishing the completion of the square that has already been started for us.  Do this by factoring what's inside the parenthesis into a perfect square binomial.  

The second one factored becomes:

g(x)=4(x-3)^2+1

which reflects a shift to the right 3 and up 1.  Not what we are asked to find.

The fourth one factored becomes:

g(x)=8(x-3)^2-5

which reflects a shift to the right 3 and down 5.  That's what we want!

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school chili cook off contest.All the pans of cornbread are square.A pan of cornbread cost $12.The costumers can buy and fractional part of a pan of cornbread and pay that fraction of $12.For example, 1/2 of a full pan cost 1/2 of $12.What questions or question do you think could be part of this problem?

What operation do you think you would use to solve this problem?why?

Answers

A possible question could be: Maria only wants 1/4 of a pan of cornbread. How much will she have to pay?
Answer: 3 dollars.
Possible equation: 1/4p = x; where p = 12 and x = amount to be payed.

Really need help lol...Kristin lives in Alaska. She drives a car with a 12-gallon fuel tank. When Kristin fills her empty gas tank in Alaska, she has to pay a federal gasoline
tax of $.18 (or 18 cents) per gallon, plus a state gas tax of 8 cents ($.08) per gallon. Her taxes paid for a gallon of gas equal 26 cents.

You can calculate the percentage of a purchase that goes to taxes by dividing the tax amount by the total sale price. If Kristin buys gas at $3.69 per gallon, which includes all taxes, what percentage of the price is the state tax? What percentage is the federal tax?

Answers


The first sentence in the second paragraph tells you exactly
how to work this exercise.

For every gallon:

Total sale price  =  $3.69

State tax = $0.08
Fraction that goes for state tax =

                                                 (0.08 / 3.69) = 0.0217 = 2.17 % .

Federal tax = $0.18
Fraction that goes for federal tax =

                                                     (0.18 / 3.69) = 0.0488 = 4.88 % .


Extra info that's not asked for:

Total amount of the sale price that goes for taxes =

                                     2.17% + 4.88%  =  7.05 % .

Check that:        (0.18 + 0.08) / (3.69)

                       = (  0.26 / 3.69  )  =  0.0705  =  7.05 %        yay!
    

How do you solve x to the second power +7x=O

Answers

well the answer is 0 because if anything = 0 then it has to be multiplied by 0 so x = 0

x^2+7x=0
use the square root something....
(7/2)^2=49/4(add it to both sides)
x^2+7x+49/4=49/4
(x+7/2)^2=49/4
x+7/2=posinega 7/2
x=0 or x=-7

Mr. Wilk is a high school math teacher whose salaryis $33,660 for this school year, which has 180 days.In Mr. Wilk’s school district, substitute teachers are paid $85 per day. If Mr. Walker takes a day off without payand a substitute teacher is paid to teach his classes. How much less does the school district pay in salary by payinga substitute teacher instead of Mr. Wilk for this particukar day?

Answers

Mr. Wilk's salary for 180 days = $33,660
Mr. Wilk's salary for 1 day = $?
By unitary method:
             Days                            Salary
               180                           $33,660
                1                                  ?
By cross-multiplication:
1*33660/180
33660/180 = $187
Mr. Wilk's salary per day = $187
Substitute teacher's salary per day = $85
Difference in salary  = 187-85
                              =  $102
The school district pays $102 less to the substitute teacher.