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Answer:

1/3

Step-by-step explanation:

.444444444(repeating)- .111111111111(repeating)

.44444444......

-.11111111........

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

.33333333........

Let x = .3333333.....

10x = 3.3333333.....

Subtract the first equation from the second

10x = 3.33333.....

-x =     .33333.....

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

9x = 3

x = 3/9

x = 1/3

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

Answer:

See below.

Step-by-step explanation:

Are you sure it's 4 liters to 250 miles, and not 4 liters to 250 milliliters?

If it is 4 liters to 250 miles, then it equals

0.016 liter : 1 mile

If it is 4 liters to 250 ml, then it is

4 liters : 250 ml

4 liters : 0.25 liter

16 liters : 1 liter

16 : 1

Answer:

Farah: x

Ibtisam: x-3

Muna: 2(x-3) or 2x-6

Sum of all their ages: 4x-6

Step-by-step explanation:

Farah is x, so we don't need an expression for that.

Ibtisam is 3 years younger than Farah, which means that we need to subtract 3 from Farah, and that would be Ibtisam's age. x-3.

Muna is 2 TIMES Ibtisam's age, so we need to multiply whatever expression taht was used for Ibtisam by 2. Put brackets around the equation with 2 outside: 2(x-3). Solve and you get 4x-6

Now, you have all their ages in expression form, now you need to simplify by adding:

x+x+2x-6

We cannot simplify -6, so we put that aside. Add all the x's and you get 4x, insert the minus 6 at the end:

4x-6

Hope this helps!

--Applepi101

Answer:

a) X -3

b) 4x - 9

Step-by-step explanation:

a) Farah's age is X so Ibtisam will be X - 3 old since he is 3years younger than Farah

b) Farah is X years old

Ibtisam is X - 3 years old

Muna is 2(X -3) since she is 2 times older than Ibtisam.

the sum of Thier ages will be

X + X -3 + 2(x-3)

= 2x - 3 + 2x - 6

= 4x - 9

Answer:

The polygon consists of 6 sides and the given polygon is a regular hexagon.

Step-by-step explanation:

The definition of perimeter is the total measure of the side lengths of a polygon. If the polygon said is regular, it means the polygon has equal sides and equal angles.

So the perimeter of a regular polygon is given by the formula:

P = (length of one side) x (number of sides)

In this case, the perimeter of the polygon is 19.2 cm and one side is equal to 3.2 cm.

DIVIDE (use the formula but in division to maintain a proportonal relationship):

19.2 ÷ 3.2 = 6

You could alsk check if its correct using the formula:

19.2 = 3.2 x 6 (TRUE)

A 6 sided regular polygon is known as a HEXAGON.

Hope this helps!

Answer: 378.57mi²

Step-by-step explanation:

Formula = a²+2a√{(a²/4)+h²}

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Answer:

at x-intercept, y = 0

4x = 28

x = 7

x intercept = (7,0)

at y-intercept, x = 0

y = 28

y intercept = (0,28)

Answer:

1. Negation

2. Equivalent

3. Neither

4. Neither

Step-by-step explanation:

p ^ ~q

~q → p~

~q ∨ p

~p ∨q

Step-by-step explanation:

Note that since [tex]\triangle ABC \cong \triangle DEF,[/tex] we can see from the figure that [tex]\angle B[/tex] and [tex]\angle E[/tex] have the same measure.

a) To solve for the length of [tex]\overline{AB},[/tex] we write

[tex]3x + 6 = 4x \Rightarrow x = 6[/tex]

b) Since the two triangles are congruent, we can say that [tex]\angle A = \angle D[/tex] so we can write

[tex]6y + 12 = 8y + 2[/tex]

Solving for y, we get

[tex]2y = 10 \:\Rightarrow \:y = 5[/tex]

Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

[tex]\frac{6}{23}\cdot100\approx26.09\%[/tex]

The probability to pick a blue marble is,

[tex]\boxed{\frac{8}{23}}\cdot100\approx34.78\%[/tex]

And the probability to pick a green marble is,

[tex]\frac{9}{23}\cdot100\approx39.13\%[/tex]

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

[tex]26.09\%+34.78\%+39.13\%=100\%[/tex]

Hope this helps :)

Answer:

The x-intercepts are at (-4, 0) and (3, 0). The y-intercept is at (0, 1.2).

The graph is increasing at (-4, 0), (2.082, -0.604), (3, 0).

The graph is decreasing at (-2.082, 3.004), (0, 1.2), (1, 0)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Y is given by sin(theta). sin(-60)=-sqrt(3)/2

9514 1404 393

Answer:

  0.2332

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

For weekly compounding, we have n=52, so ...

  e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%

Answer:

114 cm²

Step-by-step explanation:

Surface area of the rectangular prism,

2×(wl+hl+hw)

=2×(3×8+3×8+3×3)

= 2×(24+24+9)

= 2×(57)

=114 cm²

Answer:

y=4/3x-3

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The 1-year interest is simply the invested amount times the interest rate.

Let r represent the lower interest rate. Then r+0.02 is the higher rate, and the total interest earned is ...

  1400r + 900(r +.02) = 202

  2300r +18 = 202 . . . . . . . . . .simplify

  2300r = 184 . . . . . . . . . .subtract 18

  r = 184/2300 = 0.08 = 8% . . . . . . divide by the coefficient of r

$1400 was invested at 8%.

$900 was invested at 10%.

Answer:

-1: rational

√3 + -1: irration

Step-by-step explanation:

A rational number is negative, if its numerator and denominator are of the opposite signs.

Hope this helps <3

Answer:

-1 8/9

Step-by-step explanation:

w + ( - x)

w = -5/9

z = 4/3

Input:

-5/9 + ( -4/3)

-5/9 - 4/3

-4/3 * 3/3 = -12/9

-5/9 - 12/9 = -17/9 = -1 8/9

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

2π or 0π are the only points that satisfy the expression, but since the restriction is 0 <= x < 2π

the answer would be 0π

The solution of the equation on the interval [0,2π) is 0.

To find Solution of the equation.

A statement that the values of two mathematical expressions are equal.

The given equation is :

7secx-7=0 on the interval [0,2π)

7secx-7=0

7secx=7

sec x =1

∴ x=0

So, the solution of the equation on the interval [0,2π) is 0.

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Answer:

657

Step-by-step explanation:

pemdas

The value of the expression 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]} is 657.

Hence option A is correct.

Given is an expression, 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]}, we need to simplify it,

Let's break down the expression step by step:

First, let's simplify the expression inside the innermost parentheses:

8 - 2 x 3 = 8 - 6 = 2

Next, let's simplify the expression inside the brackets:

3 x 23 - 2 = 69 - 2 = 67

Now, let's substitute the simplified expression inside the brackets back into the original expression:

(300 - 70 ÷ 5) - 67

Next, let's simplify the expression inside the remaining parentheses:

70 ÷ 5 = 14

Now, let's substitute the simplified expression inside the parentheses back into the expression:

(300 - 14) - 67

Next, let's simplify the expression inside the remaining parentheses:

300 - 14 = 286

Now, let's substitute the simplified expression inside the parentheses back into the expression:

286 - 67

Finally, let's perform the subtraction:

286 - 67 = 219

Now, let's multiply the result by 3:

3 x 219 = 657

Therefore, the value of the expression 3 x {(300 - 70 ÷ 5) - [3 x 23 - (8 - 2 x 3)]} is 657.

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The amount Beth would be able to withdraw quarterly from her inheritance over the next 20 years is Quarterly Payments ≈ $11,124.53

The given parameters in the question;

Present value of inheritance, PV = $500,000

The number of years of withdrawal, n = 20 years

Interest rate, i = 6.4%

The required parameter;

The amount Beth would be able to withdraw quarterly over the next 20 years to draw the account down to zero, given a quarterly interest rate of 6.4%

Method

The required parameter is given by the payment formula

The question is related with annuity given that withdrawals will be made quarterly

The question seeks to find how much she can withdraw so as to exhaust the balance in 20 years

The amount she can withdraw quarterly is given by the payment formula as follows;

[tex]\mathbf{PMT = PV \times \dfrac{i}{1 - \left(1 + i\right)^{-n}}}[/tex]

Where;

PMT = The amount of quarterly payments

PV = The present value of the investment = $500,000

i = The interest rate = 6.4%

n = The number of years = 20 years

Therefore, we get;

[tex]\mathbf{PMT = 500,000 \times \dfrac{\dfrac{0.064}{4} }{1 - \left(1 + \dfrac{0.064}{4} \right)^{-4 \times 20}} \approx 11,124.53}[/tex]

The amount she can withdraw quarterly for the next 20 years ≈ $11,124.53

Quarterly payment, PMT = $11,124.53

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Answer:

269/99

Step-by-step explanation:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  $18,540

Step-by-step explanation:

When interest is compounded yearly, the amount of interest earned in one year is the same as the amount of simple interest earned. The account balance is ...

  A = P(1 +r) = $18,000(1 +.03) = $18,540

Answer:

6b=18

b=18/6

b=3

.

.

.

.

.

.

Answer:

6b=18

b=18/6

b=3

.

Step-by-step explanation:

Answer:

74.80

Step-by-step explanation:

First find the discount

88 * 15%

88*.15

13.2

Subtract the discount from the original price

88-13.2

74.80