What simplified common fraction is equivalent to $0.0\overline{57}$?

Answer:

($3.75)n ≤ $20

Step-by-step explanation:

Represent this number by n.  Then the total purchase price can be represented by ($3.75)n ≤ $20, which is appropriate because Cooper can't spend more than $20.

The desired inequality is ($3.75)n ≤ $20.  If a solution is desired, divide both sides by $3/75):

        $20

n ≤ ______ = 5 1/3.

      $3.75

Cooper can purchase up to 5 whole packs of paper and have a bit of money left over.

Prime factorization of 100 is 2 * 2 * 5 * 5

100 as a product of prime factors will be 2 ×2×5×5 .

Given,

Number = 100

Now,

To write 100 as prime factor product ,

Take LCM of 100

LCM 100 = 2 ×2×5×5

Thus the factors obtained in the LCM is prime factors only .

So we can write 100 as the product of prime factors:

100 = 2 ×2×5×5

Know more about prime factors,

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Answer:

6:1

Step-by-step explanation:

48:( 4+4 )

= 48:8

= 6:1

Answer:

The equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × [l + w]

It is provided that the width of a rectangle is 9 less than one-third it's length.

That is:

[tex]w = \frac{1}{3}l-9[/tex]

The perimeter is given as 45.

The equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = 2 \times [l + \frac{1}{3}l-9]\\\\\text{Perimeter} = 2 \times [\frac{3l+l-27}{3}]\\\\\text{Perimeter} = 2 \times [\frac{4l-27}{3}]\\\\\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]

Thus, the equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]

Answer:

The answer is 615 inches

Step-by-step explanation:

The formula for solving the area of a circle is :

A= 1/4 π d^2

So since we only know the diameter the formula would be:

A= 1/4 of 3.14 x 28^2

Hope this helped :)

Answer:

x = 0

y = 3

Step-by-step explanation:

Step 1: Write systems of equations

9x - 2y = -6

5x + 4y = 12

Step 2: Rewrite 1st equation

9x = 2y - 6

x = 2/9y - 2/3

Step 3: Substitute

5(2/9y - 2/3) + 4y = 12

Step 4: Solve for y

10/9y - 10/3 + 4y = 12

46/9y - 10/3 = 12

46/9y = 46/3

y = 3

Step 5: Plug in y to find x

5x + 4(3) = 12

5x + 12 = 12

5x = 0

x = 0

Answer: The digit in the thousand place is '9'.

Step-by-step explanation: The given number is 5_278.

The difference between the values of the digits in the thousandth place and the tenth place is 8930.

The digits in the tenth place is already given, which is 7

Let's assume the digits in the thousandth place is x,

Answer:

10

Step-by-step explanation:

Given that:

There are a total of 5 members on a student council.

2 of these members will serve in Spring Formal Committee.

To find:

How many possible spring formal committees can be there ?

Solution:

If the observe this problem closely, we are actually asked nothing but the number of ways to select 2 members out of 5.

This is a simple selection problem in which we have to find the number of ways to select [tex]r[/tex] objects out of [tex]n[/tex].

The number of ways = [tex]_nC_r =\frac {n!}{r!(n-r)!}[/tex]

Here,

[tex]n = 5\\r=2[/tex]

Hence, the required number of ways are:

[tex]_5C_2 =\frac {5!}{2!(5-2)!}\\\Rightarrow \dfrac {5!}{2!3!} = \dfrac {5\times 4\times 3!}{2!3!}\\\Rightarrow \dfrac {5\times 4}{2} = \dfrac{20}{2}\\\Rightarrow \bold{10}[/tex]

So, the number of possible spring formal committees are 10.

Answer:

B) 14

Step-by-step explanation:

We can plug in the values of m and p into the equation:

1/2 m + 3p = 1/2 (16) + 3 (2) = 8 + 6 = 14.

Answer:

z = -5

y = 1

x = 4

Step-by-step explanation:

2z = -10 ➡ z = -5

4y -(-5) = 9 ➡ 4y = 4 and y = 1

2x + 3 + (-5) = 6 ➡ 2x = 8 and x = 4

Answer:

The eight in the first number is ten times larger than the eight in the second number.

Answer:

[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]

Step-by-step explanation:

Let be [tex]f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y)[/tex], this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:

[tex]r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}[/tex]

[tex]r_{1,2} = 5\pm \sqrt{25-6\cdot y}[/tex]

The polynomial in factorized form is:

[tex](x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})[/tex]

The function can be rewritten and simplified as follows:

[tex]f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})][/tex]

[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]

Answer:

Midpoint is (-6,-34)

Step-by-step explanation:

(6+(-18))/2. (-41+(-27))/2

-12/2. (-68)/2

-6. , - 34

Distance =(6--18)^2 +(-14--27)^2

23^2. +13^2

529 +169

= 698

So u will find the square root of 698

The ans u get is the distance

Answer:

x=23, y=14

Step-by-step explanation:

The triangles are indeed simular

Answer:

[tex]=\left(\frac{15}{2},\:\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\[/tex]

Answer:

X = 6

Step-by-step explanation:

Subtract 1 x from both sides so the equation will be 3x = 18.  Then divide 3x by 3 and 18 by 3 to get 6

Answer: [tex]x=6[/tex]

Subtract x from both sides

[tex]4x-x=x+18-x\\3x=18[/tex]

Divide both sides by 3

[tex]3x=3=18/3\\x=6[/tex]

Answer:

Linear

Step-by-step explanation:

Answer:

the answer is Linear

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

You find the square root

Answer:

Lulu's money = £81

Ruby's money= £108

Emma's money= £72

Step-by-step explanation:

Let

Lulu's money = x

Ruby's money= y

Emma's money= z

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

2/3x = 1/2y= 3/4z

2/3x= 1/2y

4/3x= y

2/3x= 3/4z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x+12x+8x= 2349

29x= 2349

X= 81

4/3x= y

4/3(81) =y

108= y

8/9x= z

8/9(81)= z

72= z

Answer:

Step-by-step explanation:

Each of them had different amount of money. Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

1 answer

·

Top answer:

Answer:Lulu= £81Ruby=£108Emma=£ 72

Answer:

53°, 127°, 127°

Step-by-step explanation:

Two intersecting lines form two pairs of angles:

So if one of the angles is measured 53°, then the other angles are:

Answer:

The inequality is

88<x<93

Step-by-step explanation:

The average of Shondra's test scores in physics is between 88 and 93.

Let me give out the meaning of some inequality symbols

<= Less than or equal to

>= Greater than or equal to

< Less than

> Greater than

Let the average score be x

In this case , the average score is between 88 and 93

The inequality is

88<x<93

Answer: 24%

Step-by-step explanation:

There are a total of  2610 graduates and if that is the divided by the total which is  10730   you will get 0.2432   which is about 24%

Answer:

24%

Step-by-step explanation:

I checked it on the test to make sure, I have acellus too.

Answer:

Step-by-step explanation:

Given the vectors based on the number line as RS = 7y +3, ST = 5y +8, and RT = 83, the equation RS+ST = RT will be used to get the unknown.

Substituting the given equation into the expression we will have;

7y +3+5y +8 = 83

collect like terms'

7y+5y+3+8 = 83

12y + 11 = 83

12y = 83-11

12y = 72

y = 72/12

y = 6

b) Substitute y = 6 into RS and ST

Given RS = 7y+3

RS = 7(6)+3

RS = 42+3

RS = 45

For ST;

ST = 5y+8

ST = 5(6)+8

ST = 30+8

ST = 38

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter:  p = (51+37+20):2 = 54 m

Area of triangle:

[tex]A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2[/tex]

Rate:  ₹ 3 per m².

Cost:  ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm  ⇒  2b = 6 cm   ⇒  b = 3 cm

p = 11:2 = 5.5

[tex]A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2[/tex]

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

[tex]A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2[/tex]

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm  ⇒ 8x = 32 cm   ⇒  x = 4 cm  ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

[tex]A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2[/tex]

Answer:

  x ≠ 5

Step-by-step explanation:

For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)

Answer:

The value of x can be

✔ any real number except 5

.

The value of y can be

✔ any real number

Step-by-step explanation:

i got it correct on edguinty

Answer:

[tex]x<1[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]1+7x+5x<13[/tex]

First, combine like terms:

[tex]1+12x<13[/tex]

Subtract 1 from both sides:

[tex]12x<12[/tex]

Divide both sides by 12:

[tex]x<1[/tex]

And that's our answer :)

Answer:

Step-by-step explanation:

12x + 1 < 13

12x < 12

x < 1

Answer:

m = slope= 5/3

Step-by-step explanation:

[tex](-6, -2) = (x_1,y_1) \\ (-1.5, 5.5) (x_2 ,y_2) \\ \frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 -x _1} [/tex]

[tex] \frac{y - ( - 2)}{x - ( - 6)} = \frac{5.5 - ( -2 )}{ - 1.5 - ( - 6)} \\ \frac{y + 2}{x + 6} = \frac{5.5 + 2}{ - 1.5 + 6} [/tex]

[tex] \frac{y + 2}{x + 6} = \frac{7.5}{4.5} \\ 4.5(y + 2) = 7.5(x + 6)[/tex]

[tex]4.5y + 9 = 7.5x + 45 \\ 4.5y = 7.5x + 45 - 9 \\ 4.5y = 7.5x + 36[/tex]

Divide through by 4.5

[tex] \frac{4.5y}{4.5} = \frac{7.5x}{4.5} + \frac{36}{4.5} \\ y = \frac{5}{3} x + 8 \\ [/tex]

Answer:

(−∞,−7/2)∪(−7/2,3)∪(3,∞)

Step-by-step explanation:

(x-3)

----------------

2x^2 +x -21

First factor the denominator

(x-3)

----------------

( 2x +7) (x-3)

The domain is restricted when the denominator goes to zero

2x+7 =0    x-3 =0

2x = -7     x-3=0

x = -7/2    x =3

This two points are not in the domain

(−∞,−7/2)∪(−7/2,3)∪(3,∞)

Answer:

$1.50 per card

Step-by-step explanation:

Knowns:

$10 to spends, Wants to buy $7 book and two equal priced cards.

10 = 7 + 2x

Subtract 7 from both sides to find out how much money Dave has after he buys his book.

3 = 2x

Divide each side by 2 to find out how much he cana spend on each card

x = 1.50

i hope this helps!

-TheBusinessMan