Which of the following statements are equivalent
to the statement "the price decreased by 25%"?
Choose all the correct answers.
(A) The price doubled.
(B) The price is 150% of the price before.
(C) The price was reduced by a quarter.
(D) The price is half of what it was before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
F
-
3
(G) The price now is 200% of what it was before.
(H) The price is 75% of what it was before.

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\leadsto[/tex]Let us assume entry fee for child be x

[tex]\leadsto[/tex]Let us assume entry fee for adult be y

[tex]\\[/tex]

[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]

[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]

Multiplying eq (1) by 2 it will be -

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]

Subtracting eq(2) from eq(3) -

[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]

Thus , entry fee for a child at the amusement park = $ 35

Answer:

-1/3.

Step-by-step explanation:

The line passes by the points (-4,1) and (2,-1). The slope is:

(-1-1)/(2-(-4))=(-2)/6=-1/3

Answer:

hello

3.32 > 3.18

Step-by-step explanation:

2 1/9 is the answer

the latex didn't workk

Answer:

i think the answer is 2.11

Step-by-step explanation:

Answer:

it is a wild flamenco

Step-by-step explanation:

Answer:

-5, -1, 3 is the answer

Step-by-step explanation:

Range is the numbers vertical hope this helps!:)

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

Answer:

the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.

Step-by-step explanation:

there

Answer:

x=106

Step-by-step explanation:

I stitched a photo on how i got to my answer.

Answers are

A: 16.09 %

B: 0.65

C: Those who like Hamburgers but not burritos.

Step-by-step explanation:

                        Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                          33                                128

Total →                                134                           71                                 205

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage  33/205 * 100 = 16.09%

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos: 39/134 = 0.29

Those who like Hamburgers but not burritos: 95/134 = 0.71

Those who like burritos but not Hamburgers: 38/71 = 0.53

Those who do not like burritos or Hamburgers: 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

Answer:

The answer is 22.

Step-by-step explanation:

if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)  

Answer:

22 gallons per hour

Step-by-step explanation:

1036-860=176

176/8=22

22 gallons per hour is your answer

Answer:

c = 16

Step-by-step explanation:

First, distribute the 9 to the parentheses:

7c + 5 = 9(c − 3)

7c + 5 = 9c - 27

Then, subtract 7c from both sides:

5 = 2c - 27

Add 27 to both sides:

32 = 2c

Divide each side by 2:

16 = c

So, c = 16

Answer:

Step-by-step explanation:

196 = 14 x 14

Answer:

k=−(x−h) 2+r 2 +y

Step-by-step explanation:

Subtract (x−h)   from both sides of the equation.

Subtracting (x−h) from itself leaves 0.

Subtract (x−h)from r

Take the square root of both sides of the equation.

Subtract y from both sides of the equation.

subtracting y from itself leaves 0.

Dividing by −1 undoes the multiplication by −1.

Answer:

The answer is 4 and a 1/2 weeks

Answer:

4 1/2

Step-by-step explanation:

Answer:

0.322

Step-by-step explanation:

0.350 - 0.028

The answer would be 0.322

Hope this helps

Answer:$24

Step-by-step explanation:

To find 20 percent of a number you multiply the number by 20, then multiply the answer by .01.

120 x 20 = 2400

2400 x .01 = 24

Answer: I think its 24 tell me if I'm wrong

20 divided by 100 gives you 0.2

0.2x120 gives you 24

Answer:

hui

Step-by-step explanation:

Answer:

b=30

Step-by-step explanation:

Answer:

b = 30

I hope this helps!

Answer:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I just looked at this way 12 * 12 = 144.

Answer:

The solutions are (-2, 0) and (1, 3).

Step-by-step explanation:

Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve

-x² + 4 = x + 2

Create two curves as follows:

y = -x² +4

and

y = x + 2

By graphing the two curves together, their points of intersection are the solutions.

y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.

y = x + 2  is a straight line with slope - 1 and with y-intercept = 2

The points of intersection are (-2, 0) and (1, 3).

Answer:

6

Step-by-step explanation:

let Noel's age be x

if Noel's age in 8 years will be three+times as old as it was 2 years ago:

x%2B8=3%28x-2%29

x%2B8=3x-6

6%2B8=3x-x

2x=14

x=7

Noel is 7 years old now

Step-by-step explanation:

Add the equations to eliminate q

5p-3q<0

3p+3q<24

8p<24

p< 3

Plug in value of p to an equation

3(3)+3q<24

3q<24-9

q< 5

Answer:

răspuns corect 2

Step-by-step explanation:

dami coroana te rog

Answer:

Sorry but I can't understand what you are trying to say...

Answer:

x = 5

Step-by-step explanation:

30 divided by 6 equals x

30/6 = 5

so x = 5

Answer:

X= 5

Step-by-step explanation:

6x=30

or, x=30/6
Therefore, x=5

Answer:

Step-by-step explanation:

This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.

(3x       )(2x      )

(3x - 5 ) (2x + 7)                       How lucky is that!!?

Remove the Brackets

3x * 2x + 3x*7 - 5*2x - 35       Combine

2x*3x^2 + 21x - 10x - 35            

6x^2 + 11x - 35

So the guess turns out to be correct. Now we need to solve for the roots.

3x - 5  = 0                             Add 5 to both sides.

3x = 5                                   Divide by 3

x = 5/3

x = 1.6667

2x + 7 = 0                            Subtract 7 from both sides

2x = - 7                                Divide by 2

2x/2 = - 7/2

x = - 3.5

Answer

Answer:

  15

Step-by-step explanation:

Terms in a geometric series that are n apart will have a ratio that is r^n. Here we have terms a4 and a1, which are 4-1=3 apart, so their ratio is ...

  a4/a1 = 135/5 = 27 = r^3

  r = ∛27 = 3

The second term is the first, multiplied by this common ratio:

  a2 = a1·r = 3(5)

  a2 = 15