When 30% of a number is added to the number, the result is 143. Find the number described.

Answered by answersmine:

30%x + x = 143
.30x +x = 143
1.30x =143
divide each side by 1.30
x = 110

check
(30% x 110) + 110 = 143
33 + 110 = 143
143 = 143

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Related questions in Mathematics

Write to explain two ways you can find the sum of 3+4+5.

Way one: put the biggest number in your head in this case 5 then count up 4 then 3 more so you get 12 

way 2: draw 3 tally marks then 4 more then 5 more then count them all together to get the sum 12

hope this helped:)

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

Answer:

Hence, we have:

               a= 3 and b= 4

Step-by-step explanation:

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

(a+ib)(2+3i)-i=(-11+5i)(1-i)\\\\i.e.\\\\a(2+3i)+ib(2+3i)-i=-11(1-i)+5i(1-i)\\\\i.e.\\\\2a+3ai+2bi+3bi^2-i=-11+11i+5i-5i^2

Since, we know that :

i^2=-1

Hence, we have:

2a+3ai+2bi-3b-i=-11+11i+5i+5\\\\i.e.\\\\(2a-3b)+i(3a+2b-1)=-11+5+11i+5i\\\\i.e.\\\\(2a-3b)+i(3a+2b-1)=-6+16i

i.e. we have:

2a-3b=-6---------(1)

and

3a+2b-1=16\\\\i.e.\\\\3a+2b=16+1\\\\i.e.\\\\3a+2b=17------------(2)

On multiplying equation (1) by 2 and equation (2) by 3 we get:

13a=39\\\\i.e.\\\\a=3

on putting the value of a into equation (1) we get:

2\times 3-3b=-6\\\\i.e.\\\\6-3b=-6\\\\i.e.\\\\-3b=-6-6\\\\i.e.\\\\-3b=-12\\\\i.e.\\\\b=4


Find a number between 364 and 384 which is multiple of 3 and7

378 is the number since it is found to be divisible by not only 7 but also 3.

Right each number in standard form 8 + 0.0 + 0.05 + 0.009

8 + 0.0 + 0.05 + 0.009
= 8.000 + 0.050 + 0.009
= 8.000 + 0.059
= 8.059

Hope this helps you! =)

What number should be added to the sum of 83524 and 4365 to get 900.

-86989.
83524+4365=87889
87889-900=86989
so........
83524+4365+(-86989)=900

F(x)=√(10-3x) find the formula

Let y=f(x)
y=sqrt(10-3x)
you want to make x the subject

square both sides
y²=10-3x
3x=10-y²
x=(10-y²)/3

now replace y with x
f^-1(x)=(10-x²)/3

Choose the correct solution in roster form. S is the set of prime numbers that are less than 15. A- { 2, 3, 5, 7, 11, 13 } B- { 2, 3, 5, 7, 9, 11, 13 } C- { 1, 3, 5, 7, 9, 11, 13 } D- { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 } ---------------------------------------------------------------------------------- Write the solution to the inquality in set-builder notation. 9t - 4 >32 A- { t | t > 4 } B- { t | t > 6 } C- { t | t > 28 } D- { t | t > 36 }

Mathematically speaking, roster form of a set is a list of elements that are in the set.

Basically, to represent a set in roster form, we simply list the elements of the set, separated by commas, within braces.

as per the question, consider the set, S, described verbally:

   S = {all prime numbers less than 15}

To write this in roster form, we would first identify all the elements in the set. Let's see. . . the integers that are strictly greater than 0 and less than or equal to 4 would be the integers that are between 0 and 4, not including 0, but including 4, so 1, 2, 3, and 4.

Now we just write these integers, separated by commas, within braces.

S = {2, 3, 5, 7, 11, 13}. So answer is option A

Set notation is a representation of a set of the form {element | properties of that element}.

To represent the inequality in set builder notation, we will first have to solve for the inequality as follows:

9t - 4 >32

Step 1: Add 4 on LHS(Left hand side) and RHS(right hand side) of the inequality.

9t > 36

Step 2: Divide LHS and RHS by 9

t > 4

This means that the inequality holds for all values of t greater than 4 i.e.

{ t | t > 4 }. so answer is option A



Doreen schmidt is a chemist. She needs to prepare 36 ounces of a 10% shydrochloric acid solution. Find the amount of 18% solution and the amount of 9% solution she should mix to get this solution

Total = 36oz
Amount of 18% solution = x
Amount of 9% solution = 36 - x

Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.

Amount of HCl = x*0.18 + (36 - x)*0.09

If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,

[x*0.18 + (36 - x)*0.09]/36 = 0.1

x*0.09 + 3.24 = 3.6

.09x = 0.36
x = 4

Therefore,
4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution

Check:
[(4*.18) + (.09*32)]/36 = 0.1?
0.1 = 0.1   Yes.


The area of rectangle is 1936m sq. if the length is 4 times its breadth. find the dimension of the rectangle.

Let the breadth be x m.
So, length = 4x m.
Area of the rectangle = 1936m sq.
So,
4x × x = 1936
4x^2 = 1936
x^2 = 1936/4
x^2 = 484
x = √484
x = √22×22
x = 22
Hence, breadth = 22m.
Length = (4×22)m = 88m.

Find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube

Surface of a cubical box=6(side²)

1)We have to calculate the surface of this cubical box.
Rate=cost of painting / surface  ⇒surface=cost of painting/rate

Data:
Rate=$15/m²
cost of painting=$1440

Surface=$1440/($15/m²)=96 m²

2)We find out the length of the side:

Surface of a cubical box=6(side²)

Data:
Surface of a cubical box=96 m2

Therefore:
96m²=6 (side²)
side²=96 m²/6
side²=16 m²
side=√(16 m²)=4 m

3) We find the volume of a cubical box.
volume=(side³)
volume=(4 m)³
volume=64 m³

Answer: the volume of this cubical box would be 64 m³.


Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}

F{G[H(2)]} = F{G[2*2]} = F{G[4]} = F{3*4+2} = F{14} = 2*14-1 = 27

How to find the positive value of x cubed, (equals 8)?

X equals 2. 2 times 2 equals 4, then you multiply it by 2 again, which equals 8. Basically you just have to find the square root of 8, which is 2.

Which results in a higher prices: a 10% markup followed by a 10% discount or a 10% discount followed by a 10%mark up?

Say an item costs $200.
Example A:
10% markup is $20.
meaning that the item now costs $220.
10% discount on a $220 item is $22.
Now the item costs $198.
Example B:
10% discount is $20.
the item now costs $180.
10% markup is $18.
Now the item costs $198.
They cost the same.

A petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning

First, add together the number of all the animals.
5+11+4+4=24

Then, find the number of goats and put that into a ratio with 24

4:24
1:6
This ratio means that for every 6 animals there is 1 goat

Hope this helps :D