Evaluate the following
expression using x = 5:
3(3x + 5)

This is the number 80 thousand

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Explanation:

1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.

In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.

Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.

Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000

Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.

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Checking the answer:

original fund amount = 80000

1/2 of 80000 = 40000 is the amount the wife gets

1/4 of 80000 = 20000 is the amount the son gets

That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.

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Another method using algebra:

x = original amount of the fund

W = x/2 = 2x/4 = half of the fund = amount wife gets

S = x/4 = quarter of the fund = amount the son gets

W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4

W+S represents the sum of the wife's and son's amounts.

We'll subtract this from the original amount x to find out what's left

x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4

This shows that 1/4 of the fund is left over after distributing to the wife and son.

The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000

So,

x/8 = 10000

x = 8*10000

x = 80000

The original fund is worth Rs 80000

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

Answer:

[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]

Step-by-step explanation:

Total pencils = 30

Probability of picking a red = 1/6

Red pencils in the box = probability × total pencils

= 1/6 × 30

= 5 red pencils

So, there are 5 red pencils in the box.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

Answer:

i cant see the Q

Step-by-step explanation:

Answer:

611.111 repeating

Step-by-step explanation:

Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.

Answer:

+600%

Step-by-step explanation:

[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]

hope that helps!

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

Answer:

B.  y = -2x-25 These lines will intersect

Step-by-step explanation:

y = 2x+25  Which line has one solution to this equation:

A.  y = 2x+25   [This is the same line!  The solutions are infinite.]

B.  y = -2x-25 [These lines will intersect.  They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]

C.  y = 2x-25  [Same slope, 2.  They, also, will never meet.  Pity]

D.  y = 2x [OMG.  Didn't parallel lines ever get the message.  Get with the slope and focus on the bliss of intersection.]

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[Extra Credit]

y = 2x + 25

y = –2x – 25

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y = 2x + 25

y = -2x - 25

2y =  0

y = 0

--

y = 2x + 25

0 = 2x + 25

2x = -25

x = -12.5

The single solution is (-12.5,0)

If system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

Two or more expressions with an Equal sign is called as Equation.

A system of two linear equations has one solution.

One of the equations is y = 2x + 25

We need to find the other equation which has one solution

y = 2x+25  

This is the same line

The solutions are infinite.

y = -2x-25

These lines will intersect.

The other equation is y = –2x – 25 because this equation is interacting with y = 2x + 25

Hence, if system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

Answer:

hello  you need to tell me the equation not the worksheet

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

[tex] \: \: \: [/tex]

[tex] \pink{ 5.37}[/tex]

Answer:

50[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a[tex]\sqrt{3}[/tex], and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

50[tex]\sqrt{3}[/tex]

answer is probably just 4

4/1 rise over run

Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

What transformation did Kim perform to create rectangle A'B'C'D'?

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

Transformation involves changing the position of the given shape.

A (1, -2),

B (-1, 5)

C (-3, 5)

D (-3, 2)

A (2, 1),

B (5, 1)

C (5, 3)

D (2, 3)

The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.

And the proof is as follows.

The rule of 270 degrees counterclockwise about the origin is:

The given coordinates;

A (2, 1) - (-1, 2)

B (5, 1) - (-1, 5)

C (5, 3) - (-3, 5)

D (2, 3) - (-3, 2)

Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.

For more details about Rotation refer to the link given below.

https://brainly.com/question/10624834

Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

Answer:

y = 1/2x-3

Step-by-step explanation:

y=mx+b, where m is slope and b is y-int and x and y are variables.

y = 1/2x-3

Plot your point at (8,1) and then use your slope and rise 1 go over 2 then draw your line.

Hope that helps

The price of the one notebook will be Rs. 10.6

If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;

1x + 4x + 4x = 95

9x = 95

x = 95/9

x = 10. 6

Hence the price of the one notebook will be Rs. 10.6

Learn more on ratio here: https://brainly.com/question/20346769

Answer:

10v + 2

Step-by-step explanation:

Answer:

10v + 2

Step-by-step explanation:

Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].

Answer:

i think 10

Step-by-step explanation:

you multiply 3*5=15 and 2*5=10

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12