1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olegator [25]
3 years ago
11

When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

Step-by-step explanation:

Let the original number = x

x+\frac{8.2}{100}*x=106\\\\x+0.082x=106\\\\1.082x=106\\\\x=\frac{106}{1.082}\\\\x=\frac{106*1000}{1.082*1000}\\\\x=\frac{106000}{1082}\\\\x=97.96\\\\

x=98.0

x=98

You might be interested in
To determine whether or not they have a certain disease, 150 people are to have their blood tested. However, rather than testing
Sophie [7]

Answer:

The answer is 75 tests for 150 people.

Step-by-step explanation:

Firstly, with 150 people, we can divide into 15 groups; and the probability of disease is 0.04, there are 6 persons who possibly get disease.

Therefor, the maximum number of groups with an individual getting disease is 6. Then, 6 * 11 tests = 66 tests required.

15 groups - 6 groups with disease = 9 groups of negative with 9 tests.

In conclusion, there are 75 tests required.  

 

7 0
3 years ago
HELP ME PLEASE <br> solve the right triangle
Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}

$\csc A=\frac{ST}{RS}

$\csc 56^\circ=\frac{ST}{6}

$\csc 56^\circ \times 6=ST

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}

$\cot A=\frac{RT}{RS}

$\cot 56^\circ=\frac{RT}{6}

$\cot 56^\circ \times 6=RT

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0
3 years ago
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If
zhenek [66]

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

6 0
3 years ago
Write the expressions without using log. Can someone please help with this?
goldenfox [79]
\bf \textit{logarithm of factors}\\\\&#10;log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)&#10;\\\\\\&#10;\textit{Logarithm of rationals}\\\\&#10;log_{{  a}}\left(  \frac{x}{y}\right)\implies log_{{  a}}(x)-log_{{  a}}(y)&#10;\\\\\\&#10;\textit{Logarithm of exponentials}\\\\&#10;log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\&#10;-------------------------------

\bf log(m^3n)\implies log(m^3)+log(n)\implies 3log(m)+log(n)&#10;\\\\\\&#10;\boxed{3k+v}&#10;\\\\\\&#10;log\left(\cfrac{m}{n^3}  \right)\implies log(m)-log(n^3)\implies log(m)-3log(n)&#10;\\\\\\&#10;\boxed{k-3v}
6 0
3 years ago
21% as a percent as a fraction in simplest form and as a decimal
vovikov84 [41]
.21 is decimal form, 21/100 is the fraction in simplest form.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Trevor took out a 1 year loan for $950 at 10% interest. He repaid $1002.24 total. show work please ​
    8·1 answer
  • At the time of her​ grandson's birth, a grandmother deposited ​$6, 000 in an account. The account was paying 4.5​% interest comp
    10·1 answer
  • Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pe
    11·1 answer
  • PLEASE HELP! Geometry
    5·1 answer
  • Juliet conducted a survey to find the favorite type of book of the students at her school. She asked 20 students from her class
    10·1 answer
  • 20 POINTS BRAINLIEST
    11·2 answers
  • 98 points + brainliest and thanks.<br> (3 more pictures)
    9·2 answers
  • If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:
    6·2 answers
  • The first 5 figures in a pattern are shown. If the patterncontinues, which expression can be used to find the number of circles
    14·2 answers
  • What is 10/50 x 14/30 as a percentage?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!