Can u help me with my math

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

[tex]Pens = 8[/tex]

[tex]Cost = \$1.09[/tex]

Required

Determine Milo's error

First, we need to solve for the unit price; then compare our results with Milo's

[tex]Unit\ Price = \frac{Cost}{Pens}[/tex]

[tex]Unit\ Price = \frac{\$1.09}{8}[/tex]

[tex]Unit\ Price = \$0.13625[/tex]

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Answer:

8

Step-by-step explanation:

took the test

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9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

Answer: 13

Step-by-step explanation: you substitute x for -2 because the input is known as x. The output is known as y; solving the new equation y=-6(-2)+1 you will get y=12+1 then y=13

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

Answer:

$7.50

Step-by-step explanation:

Answer:

60 divided by 8 is 7.5

the unit rate is 7.5 and the hourly pay is $7.50

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

i cant see anything

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.

Answer:

b

Step-by-step explanation:

circumference= 2πr

37.8cm = 2πr

r= 6 cm

Area= πr^2

area = 113cm^2

Answer:

B. 56°

Step-by-step explanation:

[tex] 20 \degree = \frac{1}{2} (96 \degree - \widehat{LN}) \\ \\ 2 \times 20 \degree = (96 \degree - \widehat{LN}) \\ \\ 40 \degree = (96 \degree - \widehat{LN }) \\ \\ \widehat{ln} = 96 \degree - 40 \degree \\ \\ \huge \red{ \widehat{LN} = 56 \degree}[/tex]

Answer:

d) y = IxI + 4

Step-by-step explanation:

Answer:

Slope: 25, y-intercept: 0

Step-by-step explanation:

Take any two points. I'm going to take (3, 75) and (4, 100).

How to find slope: change in y/change in x

Change in y --> 100 - 75 = 25

Change in x --> 4 - 3 = 1

25 ÷ 1 = 25.

Slope is 25

Since 3 · 25 = 75, the y-intercept is 0.

The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.

Step-by-step explanation:

2 1/3+3 2/4=7/3+14/4

=28/12+42/12 (common denominater)

=70/12

=5 10/12

Answer:

Four

Step-by-step explanation:

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

Answer:

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

y=0.35m+50

Answer:

100% of 600,000 = 600,000

Step-by-step explanation:

The answer will be 600,000

Since

100% of 6,000,000 = 6,000,000 so,

100% of 600,000 = 600,000

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

Answer:

lemmme thinkkkkkk

Step-by-step explanation:

For households and individuals, gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. It is opposed to net income, defined as the gross income minus taxes and other deductions

Answer:

802+122−102

Step-by-step explanation:

Answer:

32 - 1

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

So If this tells you what 'm' and 'n' are, you just put them inside.

First do the M so then it will be 5 * 10 which is 50 then we just first leave it there.  Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.

Then all there is is 50 + 4 = 54

So 54 is our answer.

Answer:

Step-by-step explanation:

10m + n^2/4           (m=5 , n=4)

(10*5) + (4^2/4) =

50 + 4 =

54

Answer:

2,472 / 2 = 1,236