Mr. Ali cut a wooden plank into three parts in the ratio 2:3:8. The longest part was 72 centimeters

Answers

Answer 1

Answer:

117 centimeters

Step-by-step explanation:

Since the longest pieces is 72 centimeters and it’s ratio is 8, that means the individual unit of the ratio is 9 (72/8=9). You can multiply each part of the ratio by 9

2x9=18

3x9=27

We already know the third part of the ratio is 72. Add all of it together to get the original length.

18+27+72=117 cm


Related Questions

what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater

Answers

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

 ×2         Multiply 9 × 2 = 18

------        Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800

John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?

Answers

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]

A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task

Answers

252.5 is the answer to this question

Lines J and k intersect at point Q and h is a straight line. What is the value of X ?

Answers

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?

Answers

Answer:

[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]

Step-by-step explanation:

To get a scale of inches to feet, divide both 54 and 6 by 54:

[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]

What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 ​ xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals

Answers

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?

Answers

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.

But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.

With these definitions, use complete sentences to explain why zero is an even number.

Answers

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Wow what grade are you in? Cause this is so much, sorry

Use the sum of cubes identity to write this polynomial expression in factored form:
8x3 + 27.

Answers

Answer:

[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]

Please help me.....................

Answers

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

CAN SOMEONE HELP ME ASAP????

Find the gradient of the line 2y = -10x + 1

Answers

Answer:

Gradient = -5

Step-by-step explanation:

The gradient of a line is the slope of the line.

The standard form of the line equation is y = mx  + b

where m is the slope ( or gradient) b is the y - intercept.

Given :

2y = -10x + 1

[tex]y = -\frac{10}{2} x + \frac{1}{2}\\\\y = -5x + \frac{1}{2}\\\\Therefore , \ gradient \ is \ -5[/tex]

The gradient of the line whose equation is 2y=-10x+1 is -5.

What is gradient?

Gradient could be a measure of how steep a slope or a line is.

How to calculate the gradient of the line?

The equation of the road is 2y=-10x+1

y=-5x+1/2

Therefore the gradient of the line is that the coefficient of x which is -5.

Hence the gradient of the line is -5.

Learn more about gradient at https://brainly.com/question/23016580

#SPJ2

Describe the relationship between ∠2 and ∠8

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.

Answer:

They are alternate interior angles

Step-by-step explanation:

<2 and <8 are inside the parallel lines and on opposite sides of the transversal

They are alternate interior angles

What’s the measure of POQ?

Answers

Answer: 70 degrees 35 times 2

Part A

Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?

Answers

Answer: hello your question has some missing data attached below is the missing data

answer:

The second scatter plot

Step-by-step explanation:

The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot

Answer:

Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.

Step-by-step explanation:

If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.

(in other words the other person who answered is correct)

Use the Pythagorean theorem to find the missing length in the right triangle

Answers

C^2 = a^2 + b^2

In this case your a is 24 and b is 7

That means c = sqaure root of(24^2 + 7^2)

C = 25

Answer:

Hi, there your answer is 25

Step-by-step explanation:

Here's the Pythagorean Theorem formula [tex]a^{2} +b^{2}=c^{2}[/tex]

[tex]7^{2}+24^{2}[/tex]=[tex]c^{2}[/tex]

49+576=[tex]c^{2}[/tex]

625=[tex]c^{2}[/tex]

[tex]\sqrt{625}=c^{2}[/tex]

[tex]25=c[/tex]

Hope this helps :)


someone please help

Answers

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

ASAP brainliest if right
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.

Answers

Answer:

option A

Step-by-step explanation:

y = k . f( x )

if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.

Given g(x ) = - |x |

                = -1 × f(x)

k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f

Find the product of (2x-3)(x-1)​

Answers

Answer:

Step-by-step explanation:

[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]

                     [tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]

Please help me with this geometry question and show work

Answers

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

Please help me I put 100 points for anyone who helps me

Answers

Answer:

a)

The discount id 40%, so the function is:

d = 0.4p

b)

p = 100 ⇒ d = 40p = 200 ⇒ d = 80p = 300 ⇒ d = 120p = 400 ⇒ d = 160p = 500 ⇒ d = 200

The graph is attached

c)

p = $85 ⇒ d = 0.4*$85 = $34

Sale price is:

CP = p - d = $85 - $34 = $51

Answer:

please give me some thanks please good morning

can you guys help me fill the right angle measures

Answers

Answer:

3 = 20

5 = 20

8= 160

Step-by-step explanation:

angle 2 and 3 are on the same line, so 180 - 160 is 20 degrees

rule of alternate interior angles: angle 5 is equal to 3

rule of alternate exterior angles: angle 8 is equal to 2

You want to estimate the number of students in your school who support extra funding for the history club. You survey every ninth student who enters the
school.
Determine whether the sample is based or unbiased

Answers

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids


Find the circumference for the circle. use 3.14 for pi
A. 25.12 m.
B. 12.56 m.
C. 7.14 m.
D. 50.24 m.

Answers

Circumference for the circle is B

Answer: 50.24

Step-by-step explanation:

=3.14x4 squared

=3.14x16

=50.24

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!

Answers

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Helpppppp me please

Answers

Answer:

x=2

Step-by-step explanation:

The x is known which means that it is the one that is parallel to the y axis.

Answer:

x = 2

Step-by-step explanation:

The y axis is a vertical line

x = 2 would create a vertical line making it parallel with the y axis

The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
VT

Answers

Answer:

x =  [tex]\sqrt{14}[/tex]

Step-by-step explanation:

[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90)  (Cause its a square, the edges are 90 degrees)

[tex]\sqrt{14}[/tex] = x / 1

x = [tex]\sqrt{14}[/tex]

Find the missing side

Answers

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

1. Find the value of x to the nearest tenth

A. 8.1
B. 7.5
C. 8.9
D. 7.9

Answers

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

Please help??? An explanation would help too and the answers

Answers

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are

Answers

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)

By definition of the perfect square trinomial:

[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]

[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]

And by direct comparison we have the following system:

[tex]a = 33[/tex] (2)

[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)

By (3), we solve for [tex]b[/tex]:

[tex]b = \frac{20}{\sqrt{3}}[/tex]

[tex]b = \frac{20\sqrt{3}}{3}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

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