Write a linear equation in one variable for each of the following situations:

a) The ages of Rahim and his father are 16 years old and p years old respectively. Rahim’s father is 29 years older than Rahim.

b) Sulaiman buys m chairs which cost RM5.90 each. He pays RM50 and receives a balance of RM20.50

Answer:

140 km

Step-by-step explanation:

according to scale on a map

1 m = 20 km

7 m = ?

7m = 20*7 km

=140 km

Answer:

50/7 or 7 1/7

Step-by-step explanation:

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

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Answer:

[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]

Answer:

False

Step-by-step explanation:

Answer:

a/4b = 0.075

Step-by-step explanation:

a = 30% of b

a = 30/100 × b

a = 0.3b

The value of a/4b is calculated as:

= 0.3b/4b

= 0.075

Answer:

2nd one : y = -4/x

3rd one : y + x/2 = 9

4th one

5th one : y = x^2

6th : 5.8x - y = 2.3

Step-by-step explanation:

Not sure about these. You might want to wait for another person to answer

Have a nice day!

Answer:

10xsquared - 3x -18

Step-by-step explanation:

just multiply out and combine like terms

10xsqaured +12x -15x -18

= 10xsquared -3x -18

Answer:

713 puercos

Step-by-step explanation:

Sea T el número total de puercos

Número de cerdos = 57

Porcentaje = 8%

Para encontrar el número total de puercos;

Porcentaje = 8/100 * T = 57

8T/100 = 57

8T = 5700

T = 5700/8

T = 712,5 ≈ 713 puercos

Por lo tanto, el granjero tiene 713 puercos en total.

Answer:

less than is the correct answer

Answer:

y = 1/4x

Step-by-step explanation:

y = amount of cubic feet = 15 cubic feet

x = time taken = 60 seconds

y = kx

Where,

k = constant of proportionality

y = kx

15 = k * 60

k = 15/60

k = 1/4

The equation

y = kx

Where

k = 1/4

Becomes,

y = 1/4x

Explanation:

We replace x with 3 and use PEMDAS to evaluate

8*x+23

8*3+23

24+23

47

Answer:

[tex]47[/tex]

Step-by-step explanation:

[tex]8x + 23[/tex]

[tex]8(3) + 23[/tex]

[tex]24 + 23[/tex]

[tex]47[/tex]

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Answer:

find the coordinates and then do subtract the first one, for example for line segment AB, do (1,6) and  (5,1)

(1,6) (5,1)

1-6 = -5

5-1 = 4

answer is -5/4 and that is the slope of the line.

Continue with the rest please like how i did the example

Answer:

The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].

Step-by-step explanation:

Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:

[tex]2\cdot x + y = k, \,k\neq 6[/tex]  (1)

Then, a possible solution is [tex]2\cdot x + y = -2[/tex].

Answer:

the actual area of the room is 35 inches

Step-by-step explanation:

you have to multiply 7 by 5.

Answer:

62.8 mm

Step-by-step explanation:

pie = 3.14

radius = 10 mm

circumference of a circle = 2πr

=2*3.14*10

=62.8 mm

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

Answer:

The answer is DE

Step-by-step explanation:

I learned about it in school.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

Given that, a circle, with center O, represents a radius of the circle.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, DO and OC is the radius of a circle with center O.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

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Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

Answer:

Here are the step require to divide complex numbers:

Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.

Example 1 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:



  Example 2 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 3 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 4 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Answer:

it changed to f(x)+7 because it has an asymptote of 7

Answer:

$88

Step-by-step explanation:

Randip's balance = initial deposit + sum of deposits - sum of withdrawals

sum of deposits = $34 + $15 = $49

sum of withdrawals =  $17 + $30 = $47

$86 + $49 - $47 = $88

Answer:

88

Step-by-step explanation:

Answer:

To find the value of x we need to simplify this.

The steps to simplifying are simple.

We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.

___________________________

Let's continue.

___________________________

Alright, let's go ahead and show our steps.

[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]

[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]

_____________________

[tex]Simplify = \\2=35\left(3x-32\right)[/tex]

_____________________

[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]

_____________________

[tex]Simplify = \\x=\frac{374}{35}[/tex]

_____________________

Therefore, the answer is x = 374/35

Answer:

square root of 5 - 4

Step-by-step explanation:

Answer:

square root of 5 +4

Answer:

The picture is the answer

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

There are two possible outcomes when flipping a coin

heads or tails

P( tails) = number of favorable outcomes / total outcomes

            = 1/2

Answer:

p is tails and its saying you flip a fair coin, meaning you have a 50 50 chance which means you have a 50% chance of getting heads and same with tails.

Step-by-step explanation:

therefore, p is 0.5

have a great day!!

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

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