Evaluate
5/8 - (1/4)​

Answer:

The answer is 27

Hope this helps

Answer:

x=27

Step-by-step explanation:

What you need to do is isolate the x or in other words have the x be alone on one side of the equal sign. To do this you would need to add 21 to both sides because you need to cancel out -21 with the opposite which would be positve 21. After that the x should be by itself and then finally add 21 to 6 to complete solving for x.

Answer:

about 8 workers will finish the job

Let present age of women and her daughter be x and y respectively.

According to the question,

Case 1 :

Two years ago,

Woman age = ( x - 2 ) years

Her daughter age = ( y - 2 ) years

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

Case 2 :

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii )

Now,

★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Substituting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

Let's denote the current age of the daughter as "D" and the current age of the woman as "W".

From the given information:

1. Two years ago, the woman was 7 times as old as her daughter:

W - 2 = 7(D - 2)

2. In three years time, the woman would be 2 times as old as the girl:

W + 3 = 2(D + 3)

We now have a system of two equations with two unknowns. Let's solve this system of equations:

From equation 1, we can rewrite it as:

W = 7(D - 2) + 2

Substituting this expression for W in equation 2, we have:

7(D - 2) + 2 + 3 = 2(D + 3)

Simplifying the equation:

7D - 14 + 2 + 3 = 2D + 6

Combine like terms:

7D - 9 = 2D + 6

Subtract 2D from both sides:

7D - 2D - 9 = 6

Combine like terms:

5D - 9 = 6

Add 9 to both sides:

5D = 15

Divide both sides by 5:

D = 3

Now that we know the daughter's current age (D = 3), we can substitute it back into equation 1 to find the woman's age:

W = 7(D - 2) + 2

W = 7(3 - 2) + 2

W = 7(1) + 2

W = 7 + 2

W = 9

Therefore, the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

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Dimensional Analysis

Answer:

x = -8.07107, 6.07107

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Write out equation

x(x + 2) = 49

Step 2: Distribute

x² + 2x = 49

Step 3: Subtract 49 on both sides

x² + 2x - 49 = 0

Step 4: Quadratic Formula

a = 1

b = 2

c = -49

x = -8.07107, 6.07107

Answer:

15 days.

Step-by-step explanation:

46 - 16 = 30.

It falls 2 seconds behind each day so the number of required days

= 30 / 2 = 15.

Answer:

Step-by-step explanation:

15 days 16-40=30 the take 30/2= 15

Answer: 706 x[tex]10^{-4}[/tex]

It can also be written as 7.06 x [tex]10^{-3}[/tex]

Answer:

Step-by-step explanation:

0.0706 * 10 (0) the zero is supposed to be on top of the 10

Answer:

The answer is

Step-by-step explanation:

To solve first find the LCM of the denominators

That's

The LCM of 96 and 54 is 864

So we have

We have the final answer as

Hope this helps you

Answer:

92.5

Step-by-step explanation:

When you would look at this you would just see that there are if you divide 370 by 2 and 2 again you will not get a small number so the only logical answer is 92.5

The number would be 92.5

First, we have to convert decimal to fraction

  370/(25/10 * 16/10)

now, reduce the expression to the lowest term

  370/4

reduce the fraction

185/2

=92.5

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator

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=======================================

Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\[/tex]

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\[/tex]

This is used to find a3

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\[/tex]

Finally we can now find a4

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\[/tex]

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

Answer:

x = 13ft

Step-by-step explanation:

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles P and N will also be equal  and the M other different.

PM ≅ MN

∠P ≅ ∠N

PN = 2x

because the line starting at M divides the triangle into two sections

26 = 2x

2x = 26

x = 26 /2

x = 13ft

Answer:

B 14

explanation:

i did the math

The perimeter of the given triangle is 14 units, so the correct option is B.

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

For the pair of (1,3), (2,-3): the distance is:

[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]

For the pair (1, 3) , (-1, -1) the distance is:

[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]

For the pair (2, -3) and (-1, -1) the distance is:

[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

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Answer:

24x

Step-by-step explanation:

=6x×4+24x×3-72x

=24x+24×3x-72x

=24x+72x-72

=24x

Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

Answer:

11

Step-by-step explanation:

44/4 = 11

4/4 = 1

then:

44/4 = 11/1 = 11

Step-by-step explanation:

standard deviation is used to measure risks involved in an investment instrument. Standard deviation provides investors a mathematical basis for decisions to be made regarding their investment in financial market. Standard Deviation is a common term used in deals involving stocks, mutual funds, ETFs and others. Standard Deviation is also known as volatility. It gives a sense of how dispersed the data in a sample is from the mean.

I hope I answered correctly :)

Answer:

mean is average

1. Add all the values to find the total

2. Divide the total you have found by the amount of numbers you have added to find the total

Answer:

To work out the mean you have to add all of the numbers up then divide it by how many numbers the are

Step-by-step explanation:

================================================

Work Shown:

Use the given area A = 28.3 to find the radius r

A = pi*r^2

28.3 = 3.14*r^2

3.14*r^2 = 28.3

r^2 = 28.3/3.14

r^2 = 9.01273885350319 approximately

r = sqrt(9.01273885350319)

r = 3.00212239149292

---------

Which is then used to find the circumference

C = 2*pi*r

C = 2*3.14*3.00212239149292

C = 18.8533286185756

C = 18.9

Answer: 9 hours

If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4. Knowing this information, it would only make sense that Austin worked for 9 hours to prepare 36 kg of dough.

This is because 36/4=9.

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Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Austin prepared 20 kg of dough in 5 hours. Now you see he made 4 kg of dough in a hour, wanna know how? divide 20 to 5 = 4

Now thats done, ill show you the steps of how i got the answer 9.

So we will use that 4 we got from 20 divided by 5 and divide 36 by that 4 and we will get our answer!

--> 20÷5 = 4

    36÷4= 9

Step-by-step explanation:

(1) y = x e^(x²)

Take derivative with respect to x:

dy/dx = x (e^(x²) 2x) + e^(x²)

dy/dx = 2x² e^(x²) + e^(x²)

dy/dx = (2x² + 1) e^(x²)

Take derivative with respect to x again:

d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)

d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)

d²y/dx² = (4x³ + 6x) e^(x²)

Substitute:

d²y/dx² − 2x dy/dx − 4y

= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)

= 4x³ + 6x − 2x (2x² + 1) − 4x

= 4x³ + 6x − 4x³ − 2x − 4x

= 0

(2) y = sin⁻¹(√x)

sin y = √x

sin²y = x

Take derivative with respect to x:

2 sin y cos y dy/dx = 1

sin(2y) dy/dx = 1

dy/dx = csc(2y)

Take derivative with respect to x again:

d²y/dx² = -csc(2y) cot(2y) 2 dy/dx

d²y/dx² = -2 csc²(2y) cot(2y)

Substitute:

2x (1 − x) d²y/dx² + (1 − 2x) dy/dx

= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)

Use power reduction formula:

= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)

= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)

= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)

= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)

= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)

= -sin²(2y) csc²(2y) cot(2y) + cot(2y)

= -cot(2y) + cot(2y)

= 0

Answer:

please mark my answer brainliest

Step-by-step explanation:

=8 x cube + 27

=2 X whole cube + 3 whole cube

=(2x+3)(2 X whole square + 3 whole square -2× 2 X ×3 )

=(2x+3)(4x square +9-12x)

....thats all...if require more than use splitting midterm to get more appropriate answer

Answer:

x = - 172*11

Step-by-step explanation:

Answer:

t = 5:26

Step-by-step explanation:

time after 26 min = 5:52

time before 5:52 after listening for 26 min

t = 5:52 - 0:26

t = 5:26 was the time when Shanika starts listening to a music.

Answer:

t = 5:26

Step-by-step explanation:

time after 26 min = 5:52

time before 5:52 after listening for 26 min

t = 5:52 - 0:26

t = 5:26

Step-by-step explanation:

According to Boyle's Law :

[tex]p _1v _1 = p _2v _2[/tex]

[tex]v _2 = \frac{p _1v _1}{p _2} = \frac{215 \times 51}{18.5} = 592.7ml[/tex]

The pressure exert in a container is 592.70 torr.

To find The pressure exert in a container.

Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.

Given that :

pressure([tex]P_{1}[/tex])=215 torr

volume ([tex]v_{1}[/tex])=51.0 mL

volume([tex]v_{2}[/tex])= 18.5 mL

[tex]P_{2}[/tex]=?

Number of moles and the temperature remain constant.

By the use of "Boyle's law" :

[tex]P_{1} V_{1} =P_{2} V_{2} \\\\215*51=P_{2} *18.5\\\\P_{2} =\frac{215*51}{18.5} \\\\P_{2} =592.70 torr[/tex]

So, the pressure exert in a container is 592.70 torr.

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Answer:

24.

Step-by-step explanation:

−12(−2

= -12 * -2     ( Note  - * - = +) so we have:

24 (answer).

Answer:

r = 14,8

Step-by-step explanation:

Hope you can read my writing ;-)                                                                                

The length that can be found using the Law of Sine rule is

r= 14.80 units

Generally,

Generally, the equation for sin rule is  mathematically given as

[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]

Where

p = 9.5 units

∠P = 27°

∠R = 135°

Therefore

[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]

[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]

9.5 x 0.7071 = r x 0.4540

r = 14.80 units

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