at first it increased by 25% and then decreased by 40%

To solve 924 ÷ 4, we simply divide 924 by 4. So, 924 divided by 4 equals 231.

When we're dividing one number by another, we're essentially figuring out how many times the divisor (the number you're dividing by) fits into the dividend (the number you're dividing).

In this case, we're dividing 924 by 4. We start by asking ourselves, "How many times does 4 fit into 9?" Since 4 doesn't fit into 9 evenly, we move to the next digit and consider 92. 4 fits into 92 twenty-three times (4 x 23 = 92).

Then, we subtract 92 from 924, which leaves us with 32. Now, we bring down the next digit, which is 4, and we consider how many times 4 fits into 324. 4 fits into 32 eight times (4 x 8 = 32).

So, we've found that 4 fits into 924 exactly 231 times without any remainder. Therefore, 924÷4=231.

Complete Question:

What is 924 divided by 4 ?

The object's average acceleration over the 4s interval would be

[tex]a_{\rm avg}=\dfrac{50\,\frac{\rm m}{\rm s}-15\,\frac{\rm m}{\rm s}}{4\,\rm s}=8.75\,\dfrac{\rm m}{\rm s}[/tex]

Under constant acceleration, the average veclocity of an object with initial velocity [tex]v_i[/tex] and final velocity [tex]v_f[/tex] is

[tex]v_{\rm avg}=\dfrac{v_f+v_i}2[/tex]

so assuming "problem 4" refers to the first question, the average veclocity of the object would be

[tex]v_{\rm avg}=\dfrac{50\,\frac{\rm m}{\rm s}+15\,\frac{\rm m}{\rm s}}2=16.25\,\dfrac{\rm m}{\rm s}[/tex]

Answer:no

There both the same because just the differnce is the last number which is zero.

Step-by-step explanation:

All you got to do is find the answer and thats all

Plzz mark brainlest and thank me

Answer:

no

Step-by-step explanation:

they are equal

8.250 = 8.25

YaY!!! u got it!!!! =)

The system of linear equations x - y = 7 and 0.5x + y = 5 can be solved by first rearranging into y = mx + b form and graphing. Intersecting point of the two lines is the solution. In such equations, y is the dependent variable, relying on x, the independent variable.

You've been asked to solve the system of linear equations by graphing. The pair of equations you're given are: x - y = 7, and 0.5x + y = 5. Let's start by expressing these equations in the form y = b + mx.

For x - y = 7, you can rearrange it as y = x - 7 where the slope (m) is 1 and the y-intercept (b) is -7.

For 0.5x + y = 5, you can rearrange it as y = -0.5x + 5 where the slope (m) is -0.5 and the y-intercept (b) is 5.

Now you must graph these two lines on the same graph. Where these two lines intersect, that is the solution of the system of equations.

When graphing these lines, start at the y-intercept (b) and use the slope (m) to find additional points. The slope is a ratio representing the vertical change in y for each unit of horizontal change in x.

Expressing Equations Graphically in this way can help visually solve the system of equations.

Also note that, in each equation, y is the dependent variable since its value relies on the value of x, the independent variable.

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x + (x + 2) = 50

Combine like terms.

2x + 2 = 50

Subtract 2 from both sides.

2x = 48

Divide both sides by 2.

x = 24

Now that we have the value of x, we can find the value of the 2nd integer by adding 1 to the value of x.

24 + 1 = 25

Answer:

EC = 5

GC = 7

Step-by-step explanation:

A bisector divides a segment into two equal parts. Since BE is 5 and BE = EC, EC is also 5.

All the perpendicular bisectors meet at point G. Therefore all the segments going from any vertex to point G are congruent. Since BG is 7, GC then will be 7 aswell. Hope this helped!

Answer:

Step-by-step explanation:

For shirt :

Original cost = $54

New cost = $18

Change amount = 54 - 18 = $36

% INC/DEC = (36 /54) * 100 = 2 * 100 / 3 = 66.66%

For PS4 :

Original cost =$400

New cost = $250

Change in amount = 400- 250 =$150

% INC/DEC = (150/400) * 100 = 37.5%

For Coffee maker:

Original cost = $30

New cost = $20

Change in amount = 30 - 20 = $10

% INC/DEC = (10/30)*100 = 33.33 %

For Luggage:

Original cost = $180

New cost = $50

Change in amount = 180 - 50 = $130

% INC/DEC = (130/180)*100 = 72.22 %

1. For the function f(x) = x^2 + 2x + 3:

a) f(-x) = x^2 - 2x + 3

b) -f(x) = -x^2 - 2x - 3

c) -f(-x) = -x^2 + 2x - 3

2. For the function g(x) = 55/x + 3x:

a) g(-x) = -55/x - 3x

b) -g(x) = -55/x - 3x

c) -g(-x) = 55/x + 3x

For both functions f and g, we found the values of f(-x), -f(x), -f(-x), g(-x), -g(x), and -g(-x) by substituting -x into the original functions and negating the functions where necessary.

1. For the function f defined by f(x) = x^2 + 2x + 3:

a) To find f(-x), we substitute -x into the function:

f(-x) = (-x)^2 + 2(-x) + 3 = x^2 - 2x + 3

b) To find -f(x), we negate the entire function:

-f(x) = -(x^2 + 2x + 3) = -x^2 - 2x - 3

c) To find -f(-x), we substitute -x into the negated function:

-f(-x) = -((-x)^2 + 2(-x) + 3) = -x^2 + 2x - 3

2. For the function g defined by g(x) = 55/x + 3x:

a) To find g(-x), we substitute -x into the function:

g(-x) = 55/(-x) + 3(-x) = -55/x - 3x

b) To find -g(x), we negate the entire function:

-g(x) = -(55/x + 3x) = -55/x - 3x

c) To find -g(-x), we substitute -x into the negated function:

-g(-x) = -(-(55/(-x)) + 3(-x)) = -(-55/x - 3x) = 55/x + 3x

Answer:

Step-by-step explanation:

Let us assume that : 7 × 10⁶ is P times Greater than 4.5 × 10⁻¹

It means when we Multiply P with 4.5 × 10⁻¹, We should get 7 × 10⁶

⇒ (P × 4.5 × 10⁻¹) = 7 × 10⁶

[tex]\mathsf{\implies P = (\dfrac{7 \times 10^6}{4.5 \times 10^-^1})}[/tex]

[tex]\mathsf{\implies P = 1.56 \times 10^7}[/tex]

⇒ 7 × 10⁶ is 1.56 × 10⁷ times Greater than 4.5 × 10⁻¹

Answer: the correct answer is “ incorrect; Jason must also prove that all sides are congruent by using the distance formula.

Step-by-step explanation:

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{-1}\sqrt{36}\\= 6i[/tex]

The square root of a negative 1 is I, so you just take out the negative, replace it with I, then solve the square root like normal

[tex]i=\sqrt{-1}\\\\-36=(-1)(36)\\\\\sqrt{-36}=\sqrt{(-1)(36)}=\sqrt{-1}\cdot\sqrt{36}=i\cdot6=6i\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\Answer:\ \boxed{\sqrt{-36}=6i}[/tex]

Answer:

t = 26

subtract 19 from the other side you get 26 so t = 26

The answer is 26 i hope thqt helped everyone

Answer:

(-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

x + y = 2?

(-4, 6),   -4+6 = 2    True  this is a solution

(0, 2),    0+2  = 2    True  this is a solution

(4, 2);    4+2 = 6    False  this is not a solution

This is not a solution set since we have a pair that is not a solution

(-4, -6),   -4+-6 = 10  False  this is not a solution.  We do not have to check the rest since this cannot be a solution set

(0, 2),

(4, 2);

This is not a solution set since we have a pair that is not a solution

(-4, 6),  -4 + 6 = 2  True  this is a solution

(0, 2), 0 + 2 =2   True  this is a solution

(4, -2)  4-2 =2   True  this is a solution

This is a solution set since all the points are a solution

Answer:

(-4,6), (0,2), (4,-2)

Step-by-step explanation:

If you substitute the ordered pairs in the equation and all three of the ordered pairs in the list equals to 2 that is the list that represents the solution

Answer:

(x - 2)² = 0

Step-by-step explanation:

given x² - 4x + 9 = 5 ( subtract 5 from both sides )

x² - 4x + 4 = 0

This is a perfect square of the form

(x - a)² = x² - 2a + a²

compare coefficients of the x-term

- 2a = - 4 ⇒ a = 2

⇒ (x - 2)² = 0 ← is the required form

Answer:

Ram will get 10 chocolates

Step-by-step explanation:

It the chocolates are shared in the ratio of 1 to 3 then the total is 4

Ram : I

1:3  

1+ 3 = total

1+ 3 =4

Our total is 40, but the ratio stays the same, we just add the variable x to the 1 and the 3

1x+ 3x =40

Combine like terms.

4x = 40

Divide each side by 4

4x/4 = 40/4

x =10

So ram will get 1 * 10 = 10 and you will get 3 * 10 = 30

Answer:

Using the formula to calculate the area of a square, the side of the patio can be 11.4 ft.

Step-by-step explanation:

Square patio

Area: A=130 square feet= 130 ft^2

Side of the square: s=?

The formula to calculate the area of a square is:

A = s^2

Replacing A by 130 ft^2

130 ft^2 = s^2

Solving for s: Square root both sides of the equation above:

sqrt(130 ft^2) = sqrt(s^2)

11.40175425 ft = s

s = 11.40175425

Rounding to the nearest tenth:

s = 11.4 ft

To find the side length of a square given the area, take the square root of the area. So, the sides of Vince's patio will be approximately 11.4 feet long.

A square root is a mathematical operation that determines the value that, when multiplied by itself, equals a given number. It is denoted by the radical symbol (√). For example, the square root of 25 is 5, as 5 * 5 equals 25. Square roots are essential in various fields, including geometry, physics, and engineering, where they help calculate dimensions, solve equations, and analyze data. Square roots can be both real (positive or negative) and complex, depending on the input number.

To solve this problem, you need to understand that a square has four equal sides. The area of a square is calculated by squaring the length of one of its sides. So if we know the area, we can find the side length by taking the square root of the area.

Since Vince's area is 130 square feet, we calculate the square root of 130 which is approximately 11.4. Therefore, Vince can make each side of his patio 11.4 feet long, rounded to the nearest tenth.

Learn more about Square Root here:

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Answer:Divide 24,000 by 4 = 6,000 which = 1/4. so 3/4 = 18,000.  

1 hour = 60 minutes  

40 gallons X 60 minutes = 2,400 gallons per hour.  

18,000/2,400 = 7.5 hour to fill 3/4  

7.5 hours = 450 minutes.

Answer:

600 min  

Step-by-step explanation:

It takes 1 min per 40 gal

Time = 24 000  × 1/40

Time = 600 min

Answer: Option A is correct.

Step-by-step explanation:

Since we have given that

Number of cubes Alice and Finn roll = 2

Sum of dices has outcome of  7 as the highest probability.

So,when, we move away from the probability gets equal.

Let A: Event of getting a total of 5.

Let B : Event of getting a total of 9.

So, [tex]A=\{(2,3),(3,2),(4,1),(1,4)\}[/tex]

And [tex]B=\{(5,4),(5,4),(6,3),(3,6)\}[/tex]

so, Probability of getting event A and B respectively.

[tex]P(A)=\frac{4}{36}=\frac{1}{9}\\\\and\\\\P(B)=\frac{4}{36}=\frac{1}{9}[/tex]

So, the game will make fair as both have equal possibility to win.

Hence, Option A is correct.

Answer:

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Step-by-step explanation:

Answer:

g(10) = -37

Step-by-step explanation:

g(x)= -4x+3

g(1) means evaluate when x=10

g(10) = -4*10 +3

g(10) = -4*10 +3

g(10) = -40+3

g(10) = -37

Answer:

12

Step-by-step explanation:

Note that for the "leaf" or the right side, it is only the one's place value. The left side, or the "stem" contains the tens place as well as anything greater.

124 in a stem-and-leaf plot is seen as: 12 | 4, in which 12 is your stem, and 4 is your leaf.

~

Answer:

12 is the stem

Step-by-step explanation:

The last digit ( or the ones place) is the leaf.  Everything else is the stem

So for 124, the ones digit is the leaf.   4 is the leaf

Everything else is the stem  12 is the stem

12|4

the main difference between a square and a rectangle is that a square has all sides of equal length, while a rectangle has opposite sides of equal length and adjacent sides of different lengths.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Given, a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle.

A square is a special case of a rectangle where all four sides are of equal length. So, a square is a rectangle with all right angles and all sides of equal length.

On the other hand, a rectangle is a four-sided polygon with all four interior angles equal to 90 degrees.

However, in a rectangle, the opposite sides are parallel, and the adjacent sides are of different lengths.

In summary, the main difference between a square and a rectangle is that a square has all sides of equal length, while a rectangle has opposite sides of equal length and adjacent sides of different lengths.

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Complete question:

If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle. what is the difference between a square and a rectangle?

Answer:

hint for next time

Step-by-step explanation:

never ask a a and b question for only 5 points

The cost of one doughnut is $0.75 and the cost of one cookie is $0.60.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Alexandra buys two doughnuts and three treats at a donut shop and is charged $3.30. Brianna buys five doughnuts and two treats at a similar shop for $4.95. Every one of the doughnuts and treats has a similar cost.

Assume 'x' is the cost of doughnuts and 'y' is the cost of one cookie. Then the equations are given as,

2x + 3y = 3.30         ...1

5x + 2y = 4.95        ...2

Multiply equation 1 by 5 and equation 2 by 2, then we have

10x + 15y = 16.50     ...3

10x + 4y = 9.90       ...4

Subtraction equation 2 from equation 1, then we have

15y - 4y = 16.50 - 9.90

11y = 6.60

y = $0.60

Then the value of 'x' is given as,

2x + 3(0.60) = 3.30

2x + 1.80 = 3.30

2x = $1.50

x = $0.75

The expense of one donut is $0.75 and the expense of one treat is $0.60.

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Answer:

Sides of FE = 8 units.

Step-by-step explanation:

Median of any triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.

In the given figure, the median from G meets the mid-point of the opposite side FE, at point T.

Since, GT is the median of ΔFGE and it bisects the side FE into two halves where FT=TE

Given: TE = 8 units.

FE = FT + TE

Since, FT = TE

FE = 2 TE = 2(8) = 16 units.

Therefore, the sides of FE = 8 units.

Answer:

16

Step-by-step explanation:

I did it

Question 1. 5b + 2 = 17

Step 1. Subtract 2 from both sides of the equation.

5b+2-2=17-2

Step 2. Then simplify.

5b=15

Step 3. Finally divide by 5.

5b/5=15/5

Answer: b=3

Question 3.

Step 1. Subtract 9 from both sides.

9+4b-9=17-9

Step 2. And simplify.

4b=8

Step 3. Finally divide by 4.

4b/4=8/4

Answer: b=2

Hope this helps! :)

Answer:

With STEP

(1) 5b+2=17 move constant to the right

     5b=17-2 subtract the numbers

      5b=15 divide both side by 5

        b=3

(2) 3/8n+1=-25 multiply both side by8

    3n+8=-200 move constant to the right

    3n=-200-8 divide both sides by 3

     n=-208/3

Without Step just answer

(3) b=2

(4) x=-7/4

(5) d=8

(6) a=3

HOPE this HELP

Dani is correct. The equation can be written as y = 3x+50, which is a linear equation in the form y = mx+b. We have m = 3 as the slope and b = 50 as the y intercept

-----------------

x is the number of square feet, y is the total cost in dollars

3*x or 3x repesents multiplying the cost per square foot ($3) by the number of square feet (x). For example, if you have 10 sq ft, then so far the cost would be 3*x = 3*10 = 30 dollars.

This result is then added to 50 to get the total cost. We say that 3x is the variable cost, as it changes or varies depending on how large x gets. Additionally, the 50 is the fixed cost because this cost stays the same no matter what x is

total cost = variable cost + fixed cost

y = 3x + 50

Answer:

$2.14

Step-by-step explanation:

First, set up a proportion.

x over 3.29 equals 35 over 100.

You are trying to find what out of 3.29 is 35 percent.

Cross multiply and divide.

3.29 times 35 = 115.15

115.15 divided by 100 = 1.1515

Round to the nearest hundredth because you are dealing with money.

$1.15

Because you are looking for the sale price, you must add or subtract $1,15 from the original amount which is $3.29.

In this case, you must subtract because it is a markdown. You are taking an amount off of the original price.

$3.29 - $1.15 = $2.14

The final price is 2 dollars and 14 cents

Answer:

The answer is 25 units

Step-by-step explanation: