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
olga2289 [7]
3 years ago
12

the attendance of your club increased by 30% from last year. there are 195 people in the club now. a. write a proportion to find

the amount of people in the club last year. b. solve the proportion in part (a).
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

A.

\dfrac{x}{195}=\dfrac{100}{130}

B. 150

Step-by-step explanation:

Let x be the number of people at the club last year.

The attendance of your club increased by 30% from last year. This means that if the last year attendance was 100%, this year attandance is 100% + 30% = 130%

Thus,

x people - 100%

195 people - 130%

A. Write a proportion:

\dfrac{x}{195}=\dfrac{100}{130}

B. Cross multiply:

130\cdot x=100\cdot 195\\ \\130x=19,500\\ \\13x=1,950\\ \\x=\dfrac{1,950}{13}=150

You might be interested in
2 is 10 times 0.02 tire of false
chubhunter [2.5K]
This is false because when you multiply a number by 10, you simply move the decimal place one to the right. In this case, when we multiply 0.02 by 10, we get .2. Had we multiplied 0.02 by 100, we would have gotten 2.
4 0
3 years ago
You invested $6000 between two accounts paying 3% and 9% annual interest, respectively. If the total interest earned for the yea
aleksandr82 [10.1K]

Answer:

$1,000 and $5,000

Step-by-step explanation:

let the 2 amounts be x and y (which add  to $6,000)

i.e,

x + y = 6000 -----------(eq1)

assume x is invested at 3% and y is invested at 9%

Assuming simple interest, the following formula is applicable.

I = Prt

where

P = principal ( i.e either $x or $y)

r = rate (i.e 3% or 9%)

t = time elapsed (given as 1 year)

since t = 1 year, the equation reduces to

I = Pr

For $x invested at 3% (i.e 0.03) ---> I = 0.03x

For $y invested at 9% (i.e 0.09) ---> I = 0.09y

given that the total interest for the year = $480,

0.03x + 0.09y = 480   (multiplying both sides by 100)

3x + 9y = 48,000 ---------(eq2)

solving the system of equations made up of eq 1 and eq 2 by elimination,

eq 1 x 3

3x + 3y = 18,000 ------(eq 3)

eq2 - eq3

9y - 3y = 48,000 - 18,000

6y = 30,000

y = 30,00 / 6 = $5,000 (answer)

substitute y = 5,000 into eq 1.

x + 5000 = 6000

x = $1,000 (answer)

4 0
4 years ago
What is the prime factorization of 81
Nataly_w [17]
81 = 9 x 9

9 = 3 x 3

81 = 3 x 3 x 3 x 3

81 = 3^4
4 0
3 years ago
Express 0.31 as a fraction
Ivanshal [37]
31/100 is 0.31 as a fraction
6 0
4 years ago
Read 2 more answers
Please someone help!!!​
kari74 [83]

Answer:

0.001189 x 10^7

Step-by-step explanation:

4.1 x 10^7 gallons of water

2,900 gallons of water = 2.9 x 10^3

Balance the 10th power with the first one.

2,900 = 0.00029 x 10^7

Multiply only the decimal number...

4.1 x 0.00029 = 0.001189

The answer is...

0.001189 x 10^7

6 0
3 years ago
Other questions:
  • What is the scale factor in the dilation?
    12·1 answer
  • Can someone give me the answer to this
    15·1 answer
  • What is the solution to the system of equations
    5·1 answer
  • the russian ice breaker Yamal can move forward through  2.3 meter 2.3 meter thick ice at a speed  5.5 kilometers
    12·1 answer
  • Ao longo da história humana, diferentes povos e culturas desenvolveram teorias e mitos sobre o surgimento da vida na terra. Além
    11·1 answer
  • Simplify the expression (2x)^2y•(2x)^y+1•(2x)^2
    8·1 answer
  • Ms. Miller was jogging at a constant rate of 6 miles per hour. After 3 hours, she was 15 miles away from her home. How far away
    9·2 answers
  • Select the statement that correctly describes the solution to this system of equations
    6·1 answer
  • A) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common
    6·1 answer
  • I’m confused.. please help me
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!