enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were there last year?

Answers

Answer 1
Answer: Increasing by 30% results in multiplication by 130/100, or 13/10.  Setting the original amount of students to x, we write the equation:

13x/10=182

We multiply by 10 for a result of:

13x=1820

Dividing by 13, we have:

x=140

Thus, 140 students were in the club last year.

Related Questions

In 2000 the city of Las Vegas had a population of 478,434. In 2007 there were 558,880 people living in Las Vegas. How many more people were living in Las Vegas in 2007 than in 2000?
Can you make this into an algebraic expresion
Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and (–1, 9). what is the area?
What is 7,5 and move 7 units left and 5 units down
Three times the quantity of a number and 2.5 is 6.6.

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Answers

For future reference, use a * to show the multiplication sign because in math x is a variable. 7*2 = 9 + x

Now multiply 7*2= 14

14 = 9 + x

Now subtract 9 from both sides to isolate the x

5 = x or x= 5

Answer:

D

Step-by-step explanation:

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

What is the next value 1I 2L 3F4

Answers

Answer:

The next value in the given pattern of digits and numbers is:

                      E

Step-by-step explanation:

  • Since, if we see the first pair:

                   1 I

Then we see that the alphabet I requires just one vertical line to get formed.

  •  The next pair is:

                    2 L

Hence, from this we could claim that L is formed with the help of one vertical and one horizontal line.

  •   The next pair is:

                   3 F

Again the alphabet F could be formed with the help of 3 lines one vertical and two horizontal line.

  • Hence, from the above three pairs we may infer that the next pair will be:

                   4 E

because E is formed with the help of four lines 1 vertical and three horizontal lines.

Final answer:

The next term in the sequence is 4U.

Explanation:

The given sequence seems to follow a pattern where the 1st term is the number itself, and the 2nd term is the last letter of the number. The 3rd term is the 1st letter of the next number, and so on.

  1. 1I
  2. 2L
  3. 3F
  4. 4U

Therefore, the next term in the sequence would be 4U.

Learn more about sequence here:

brainly.com/question/36944481

Line AB contains points A (−2, 6) and B (4, 5). The slope of line AB is −6 negative 1 over 6 1 over 6 6

Answers

Answer:

The slope is negative 1 over 6

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=(y2-y1)/(x2-x1)

we have

A(-2,6)\ B(4,5)

Substitute the values

m=(5-6)/(4+2)

m=-(1)/(6)

To work out the slope of a line, you have to divide the difference in y by the difference in x

The difference in y = 5-6 = -1
The difference in x = 4--2 = 6

So, -1/6 is the answer

Given that D(x) = 2x, select all of the following that are true statements. a- D(x) is a function,
b- xis the dependent variable,
c- D(6) = 3,
d- D(x) is a direct variation,
e- D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).

Answers

For D (x) = 2 x:
- x is the independent variable,
- D ( 6 ) = 2 · 6 = 12.
10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).
True statements are:
A ) D ( x ) is a function.
D ) D ( x )is a direct variation.
E ) D ( x ) is arule for the set of points ( 5, 10), ( 6, 12 )and ( -2, - 4 ).
 

Answer:

A

E

D


Step-by-step explanation:


Factorize 16x^2 + 16xy + 4y^2. A) (4x + 2y)^2 B) (4x - 2y)^2 C) 4(x + y)^2 D) 4(x - y)^2

Answers

Answer:

A

Step-by-step explanation:

given

16x² + 16xy + 4y²

an expression factorised as a perfect square has the form

(ax + by)²

= a²x² + 2abxy + b²y²

16x² + 16xy + 4y² ← is in this form

with a² = 16 , b² = 4

so a = √(16) = 4 and b = √(4) = 2

then 2ab = 2(4)(2) = 16

Thus

16x² + 16xy + 4y² = (4x + 2y)² ← in factorised form