Decrease 117kg in the ratio 10:13​

Answers

Answer 1

Answer:

50.87 : 66.13.

Step-by-step explanation:

10/(10+13) * 117

= 10 * 117 / 23

= 50.87.

117 - 50.87 = 66.13.

Answer 2

When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

What is ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.

Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13

Then, we get two equations as:

[tex]x + y = 117[/tex]

[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]

From the second equation, we get x in terms of y as:

[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]

Putting this value of x in first equation, we get:

[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)

And therefore, from the expression for x, we get:

[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)

Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

Learn more about ratio here:

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Related Questions

i need help please !!

Answers

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

Please help me quick

Answers

Answer:

c

Step-by-step explanation:

can i get brainlist because brainly deleted all my answers for no reason

If you are using a calculator to find the measure of an angle in degrees, what type of measure might make you question whether your calculator is in radian mode? Explain.

Answers

Answer:

you would do this measure hope this helps

Step-by-step explanation:

What is the value of x?

Enter your answer in the box.

Answers

Use the Pythagorean theorem:

X = sqrt(10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Answer:

you can try nine but I am not really sure

The function f(x)=5x5−3x3+1 is/has

Answers

Answer:

15

Step-by-step explanation:

PEMDAS

so do multiplication first

25-9+1

then do addition

25-10

then do subtraction

so

15

HELP PLEASE 1O POINTS

Answers

Answer: 35

Step-by-step explanation:

GE = 3x - 11 FD = 2.x Find GE
Can someone help me??​

Answers

Answer:

22

Step-by-step explanation:

Given the following

GE = 3x - 11 FD = 2x

Let us assume GE is parallel to FD, hence GE = FD

3x - 11 = 2x

3x - 2x = 0+11

x = 11

Get GE

GE = 3x - 11

GE = 3(11)-11

GE= 33 - 11

GE = 22

Hence the length of GE is 22

Help pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

5x + 4 ≤ 15

Step-by-step explanation:

Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15

$4 of jelly beans is a constant

$5 per pound is a variable : 5x

5x + 4 ≤ 15

A small box can hold 4 cans and a long box can hold 12 similar cans. How many cans will 15 large boxes hold than the same number of boxes.

Answers

Maybe 240 I just multiplied 15 and 16 because 12 times 4 is 16

The temperature at 6:00 P.M. in Frostfrozen, Antarctica was "37 °C.
If the temperature dropped 8.1 °during the next hour, what
was the temperature at 7:00 P.M.?

Answers

Answer:

37.0                         Your answer is 28.9 Celsius  

- 8.1

---------

 28.9

Step-by-step explanation:

Fahrenheit:

90.5 Fahrenheit

Celsius:

23.7

help please!!
simplify the following:
[tex] \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } [/tex]
[tex] \text{ note: must provide explanation}[/tex]

Answers

Answer:

[tex] \dfrac{1}{2} [/tex]

Step-by-step explanation:

we are given a limit

and we want to simplify it

notice that, the numerator is in a sequence of sum of natural number

recall that,

[tex] \rm \displaystyle \: 1 + 2 + 3 + \dots {\dots }+ n = \frac{n(n + 1)}{2} [/tex]

so substitute:

[tex]\displaystyle \lim_{n\to \infty } \frac{ \dfrac{n(n + 1)}{2} }{ {n}^{2} } [/tex]

now recall L'Hôpital's rule

[tex] \displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} [/tex]

first simplify the complex fraction:

[tex]\displaystyle \lim_{n\to \infty } \frac{n+ 1}{2n} [/tex]

apply L'Hôpital's rule:

[tex]\displaystyle \lim_{ n\to \infty } \frac{ \dfrac{d}{dn} n+ 1}{ \dfrac{d}{dn} 2n} [/tex]

simplify:

[tex] \dfrac{1}{2} [/tex]

and we are done:

Step-by-step explanation:

solution given:

The given expression takes a form[tex] \frac{ \infty }{ \infty } [/tex]

when n=[tex] \infty [/tex]

so,

[tex] \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } [/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n(n+1)}{ 2{n}^{2} }[/tex]

[tex] \displaystyle \lim_{n\to \infty }\frac{n+1}{ 2n}[/tex]

[tex] \frac{1}{2} [/tex]

[tex] \displaystyle \lim_{n\to \infty }[1+\frac{1}{ n}][/tex]

=[tex] \frac{1}{2} [/tex](1+[tex] \frac{1}{ \infty }) [/tex]

=[tex] \frac{1}{2} [/tex] is your answer

Find the absolute extrema of the given function: f(x)=x^4 − 3x^2 + 4, on the interval [−1,1]

Answers

Answer:

The absolute maximum is 4, and the absolute minimum is 2.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^4-3x^2+4[/tex]

And we want to find the absolute extrema of the function on the interval [-1, 1].

So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:

[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]

And:

[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]

Our endpoints are (-1, 2) and (1, 2).

Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:

[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]

Differentiate:

[tex]f'(x)=4x^3-6x[/tex]

Set the function equal to 0:

[tex]0=4x^3-6x[/tex]

Solve for x. Factor:

[tex]2x(2x^2-3)=0[/tex]

Zero Product Property:

[tex]2x=0\text{ or } 2x^2-3=0[/tex]

Solve for each case. Therefore:

[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]

The second case is outside of our interval. So we can ignore it.

Evaluate the function at x = 0:

[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]

Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O 10
03

Answers

the distance between these two points is 3

Find the exact value of x.
Do the side lengths form a Pythagorean Triple?

Answers

Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

What is the relationship between the side lengths of the white square and the side lengths of the triangles?
es -)
A)
Each side of the white square is congruent to shorter leg of a triangle.
B)
Each side of the white square is congruent to the longer leg of a triangle.
Each side of the white square is the hypotenuse of a triangle.
D)
Each side of the white square is congruent to both legs of the triangles.

Answers

Answer:

C) Each side of the white square is the hypotenuse of a triangle.

Step-by-step explanation:

It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.

Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.

?????????????? So like anyone know this?

Answers

Not sure sorry I’m not good at math need help with something else..

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

p=9

Step-by-step explanation:

p = 9

isolate the variable by dividing each side by factors that don’t contain the variable

2. Find the volume. *
10 16 8

Answers

Answer:

1280

Step-by-step explanation:

16 times 8(times 10)

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Answers

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

If each quadrilateral below is a square,find the missing measures

Answers

Answer:

SU = 15sqrt2

TV = 15sqrt2

SW =(15sqrt2)/2

Step-by-step explanation:

Can anyone help me pls? Ur a legend if u can!

At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?

Answers

Answer:

23.3%

Step-by-step explanation:

divide

82/352

.2329

aka

23.29%

round

23.3%

Find the circumference of a circle with a radius of 5 mm.
A 307 mm
B 57 mm
257 mm
107 mm

Answers

Answer:

31.42

Step-by-step explanation:

circumference of a circle= 2* [tex]\pi[/tex]* r

2* 22/7 * 5 = 31.42 (2 dp)

The dot plot shows the number of pencils each boy has at his desk in class.
:
++
1 2 3 4 5 6
Number of Pencils at Desk
Find the median for the number of pencils.

Answers

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

What is 3 3/4 divided by 5/7?
Pls help me and thank you.

Answers

Answer:

21/4

Step-by-step explanation:

Are 4 7/9 and repeating 4.7 are they equal?

Answers

Answer:

Step-by-step explanation:

These two expressions are definitely not equal.

4 7/9 is a repeating decimal:  4.77777 ...    (use your calculator)

whereqs 4.7 is NOT a repeating decimal.

Divide 9 by 2 , then multiple p by the result

Answers

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

the answer you are looking for is 4.5p

Will put brainliest? Plsssssssss help!

Answers

Answer:

C i think

Step-by-step explanation:

Answer:

14,13 ft^2

Step-by-step explanation:

First of all we have to find the radius, that is diameter/2

In this case: 6/2 = 3ft

the area of a circle is:

radius^2 x π

in this case = 3^2 x 3,14 = 28,26 ft^2

The shape is a semicircle so we have to divided the area by two

28,26 : 2 = 14,13 ft^2

PLZZZ HELP!!! ILL GIVE BRAILIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!

An amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?

Answers

Answer:

17 tickets

Step-by-step explanation:

A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi

Answers

Answer:

Step-by-step explanation:

450,000=2/3(3.14)r

450,000 times 3/2=2/3(3.14)r times 3/2

675,000=3.14r

675,000/3.14=3.14r/3.14

about 214968.15287=r

So now we know r. We can use it to find the area of the circle

Pi times r squared

3.14 times 214968.15287 squared

area equals about 15573.44815

The area of the hemisphere is 45065.41

How to determine the area?

The given parameters are:

Shape = Hemisphere

Volume = 450000

The volume is calculated as:

Volume = 2/3pi r^3

This gives

450,000=2/3 * 3.14 * r^3

Solve for r^3

r^3 = 450000 * 3/(2 * 3.14)

This gives

r^3 = 214968.152

Take the cube roots

r = 59.9

The area is then calculated as;

Area = 4pi r^2

This gives

Area = 4 * 3.14 * 59.9^2

Evaluate

Area = 45065.41

Hence, the area of the hemisphere is 45065.41

Read more about areas at:

https://brainly.com/question/24487155

Which equation represents a linear function?

Answers

Answer:

C

............................

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