Kabir paid an entrance of $5 plus an additional 0.75 per game at a local arcade. The next week, he and a friend went to another arcade where kabir paid $1.25 per game, but there was no entrance fee

How many games will kabir have to play at each arcade to spend the same amount of money at each arcade?

The interval that contains the median water bill is D: $200 - $225.

The data in tabular form is as follows: ata  :

Class interval ------- Frequency -------- Cummulative frequency

100 to 125, ----------- 1 --------------------1

125 to 150 -----------2--------------------3

150 to 175----------- 5 --------------------8

175 to 200----------- 10 ------------------18

200 to 225-----------13------------------ 31

225 to 250 ------------8 -----------------40

Median class = Cumulative frequency / 2

Cumulative frequency= 40

So

Median class = 40 / 2

Median class = 20

The class interval containing the 20th frequency is "200 - 225"

Therefore it is concluded that the interval which contains the median water bill is $200 - $225.

"

Complete question

A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.

Which interval contains the median water bill?

$150–$175

$175–$200

$200–$225

$225–$250

"

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Answer:

3(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+3

Step-by-step explanation:

Answer:

b. F' (3, 0), G' (-6, -1), H' (-5, -3)

Answer:

x = 19.425

Step-by-step explanation:

x = (asin(B)) / (sin(B))

x = (21sin(61∘)) / (sin(71∘))

x = 19.425 cm

2 congruent triangle can be drawn using any three of these six points as vertices.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape represented by three non-collinear points in a single plane.

Hence, 2 congruent triangle can be drawn using any three of these six points as vertices.

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Answer:

2.4%

Step-by-step explanation:

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

No these ratios 1/2 is not equal to 2/3 because 2/3 is not the multiple of 1/2

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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The expression 2x cos 6x can be rewritten using product to sum identities as 1/2(cos(8x) + cos(-4x))

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

The product to sum identities we are going to need in this case is given by the formula:

cos(a) cos(b) = 1/2 (cos(a+b) + cos(a-b))

Since we have cos 2x cos 6x. Thus:

cos 2x cos 6x = 1/2 (cos(2x+6x) + cos(2x-6x))

                       = 1/2 (cos(8x) + cos(-4x))

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Answer:

1 is a common factor of all numbers and every number is a factor of itself.

Step-by-step explanation:

so yes it can be a common factor

Answer:

Step-by-step explanation:

The formula for the sum of a geometric sequence is: S = a(1 - r^n) / (1 - r)

In this case, our a = -8, r = -3, and n = 10.

S = -8(1 - (-3)^10) / (1 - (-3))

S = -8(1 - (-59049)) / 4

S = -8(59049) / 4

S = -2362196

[tex]8 = c - - 3 \\ 8 = c + 3 \\ c = 8 - 3 \\ c = 5[/tex]

Answer:

it is c=5

Step-by-step explanation:

here is how you get the answer

8=c−−3

8=c+3

c=8−3

c=5

The percentage change in the Touchdown passes is 28 %

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.

Andy Dalton's throw is 18 touchdaown

In last saeson he threw 25 touchdown

So, the percentage change = (25-18)/25 * 100 = 28 %

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The standard form of the given expression is -4f²-6f + 3. The algebraic operation is addition.

What is an expression?

An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.

Like terms in mathematics are summands in a sum that differ only by a numerical factor. By adding their coefficients, similar terms can be regrouped. Like terms in a polynomial expression are those that have the same variables to the same powers, but with different coefficients.

Given expression is

(-2f² -3f -5) + (-2f² -3f + 8)

Open the parenthesis:

= -2f² -3f -5 -2f² -3f + 8

Combine like terms:

= (-2f²  -2f²) + (-3f -3f) +(-5+8)

= -4f² -6f -3

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Answer:

Step-by-step explanation:

8(3y + 0.5) so first we do 8 * 3 = 24y and 8 * 0.5 = 4. Then that becomes 24y = 4. so now we do 24y / 24 = y bc 24 cancels out, 4 / 24 = 0.166. So y = 0.166. HOPE THIS HELPS!!!

Answer:

Step-by-step explanation:

The equation of line passing from point (x1,y1) and having slope m is

y- y1 =m(x- x1)

m=-3, x1=1, y1=-3

y-(-3) = -3(x-1)

y+3=-3(x-1)

y+3=-3x+3

y=-3x

3x+y=0

Answer:

y + 3x = 0

Step-by-step explanation:

The formula for equation of the line is :

y - y1 = m ( x - x1 )

NB: The m is the slope, then use substitution, solve and equate everything to 0

So on solving the provided question, we can say that by unitary method task done of 15 days done = 7/5 X 15hours = 21 hours

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

task done of 5 days done = 7 hours.

task done of 1 days done = 7/5 hours.

task done of 15 days done = 7/5 X 15hours = 21 hours

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Answer:

11)  y = -x + 9

12) y = 4x - 16

13) y = x - 5

14) y = -2x + 4

15)y =  0.5x - 3

Step-by-step explanation:

In all these equations isolate y by moving the other terms to the left side and dividing by the coefficient of x to get the slope intercept form

11)

x + y = 9

y = -x + 9 by moving x to the right side

12)
4x - y = 16

-y = -4x + 16

Multiply by -1 to get y = 4x - 16

13)

2x - 2y = 10

-2y = -2x + 10

Divide by -2 to get y = x - 5

14)

4x + 2y = 8

2y = -4x + 8

Divide by 2 to get y = -2x + 4

15)
x - 2y = 6

-2y = -x + 6

Divide by -2 to get y = x/2 - 6 = 0.5x -3

The interest generated in Pauls savings account is $4.68

The amount generated in Larissa's savings account is $5015.80

Compound interest is interest that builds up over a certain length of time on both principal and interest. The principle is also used to account for the interest that has accrued on a principal over time. Furthermore, the cumulative principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over various time periods, the power of compounding is clearly apparent.

The interest that is paid on both principle and interest and is compounded on a regular basis is known as compound interest. The interest is calculated for the new principal at regular intervals when the accumulated interest and the current principal are combined. The initial principal plus the interest that has already accrued make up the new principal.

The initial principal(p) of Paul is $1000

rate(r) is 5.5%

Number of days(t) = 20th March to 20th April = 31 days = 31/365 years

So the Amount generated =[tex]p * (1 + \frac{r}{365})\x^{365*t}[/tex]

⇒ A = [tex]1000* (1 + \frac{5.5}{100*365})\x^{31} = 1000*1.00468 = 1004.68[/tex]

The interest generated = 1004.68 - 1000 = $4.68

Similarly for Larissa

time = 24th Feb to 17th March = 21 days = 21/365 years

So the Amount generated =[tex]p * (1 + \frac{r}{365})\x^{365*t}[/tex]

⇒ A = [tex]5000* (1 + \frac{5.5}{100*365})\x^{21} = 5000*1.00317 = 5015.80[/tex]

The amount generated is $5015.80

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The right answer is: Z requires that you know the population standard deviation, which can be erroneous.

The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But the second is obviously more dispersed. It expresses the deviation of each observed value from the mean.

given

Both distributions must meet a number of requirements in order to be used. The prerequisites that must be met in order to execute a hypothesis test for employing a z-distribution are: The population has a normal distribution. We are aware of the population standard deviation.

The scope of the sample is broad.

The prerequisites that must be met in order to conduct a hypothesis test for employing a t-distribution are:

The population has a normal distribution. The chosen sample was chosen at random.

Use the t-distribution to conduct the test for the population mean in cases where the population standard deviation is unknown and the sample standard deviation must be computed.

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The answer in the form of x,y is -7x + 10y  = 118.

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.

from given conditions, we get,

(-4, 9) and  10  left  7 down  puts her at  (  -4 - 10 , 9  - 7)  = ( -14, 2)

So,  the points  ( -4, 9)  and (-14,2)  are on the  line

Slope of this line  =   [ 2 - 9] / [ -14 - -4 ]  =  [ -7] / [ -10]  =  7/10

Equation of the line

y  = (7/10)(x - - 4)  + 9

y  = (7/10) ( x + 4)  + 9     multiply through by 10

10y = 7 (x + 4)  + 90

10y = 7x + 28  + 90

-7x + 10y  = 118

Therefore, the answer in the form of (x , y) is -7x + 10y  = 118

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Answer:

21.7 - n

Step-by-step explanation:

12.7 +9

ANSWER

21.7 - n

June has 27 coins, made up of quarters and dimes. in total, the coins are worth $4.20. Therefore, there are 10 quarters and 17 dimes she have.

Dime Coin:

A cent is a dime in US parlance, one tenth of the US dollar, and is officially called a "one cent". The name was first authorized by the Money Act of 1792.

The 10-cent coin is the smallest in diameter and the thinnest US coin in circulation, measuring 17.91 mm (0.705 inches) and 1.35 mm (0.053 inches) in diameter thickness. The obverse of the current cent features a profile of President Franklin D. Roosevelt, while the reverse depicts, from left to right, an olive branch, a torch, and an oak branch.

Quarter Coin:

The quarter (short for quarter dollar) is a United States coin denominated in 25 cents (quarter dollar). The obverse of the coin depicts George Washington in profile, and since 1998 the design of the reverse has changed frequently. In continuous production from 1796 to 1831. 955 inches (24.26 mm), 0.069 inches (1.75 mm) thick. The current version consists of two layers of cupronickel (75% copper, 25% nickel) plated on a pure copper core. The overall composition of the coin is 8.33% nickel and 91.67% copper, as the cupronickel layer accounts for 1/3 of the total weight. Its weight is 0.1823 troy ounces or 0.2000 regular Dupo ounces (5,670 grams).

We can consider that:

Let d = the number of dimes

Let q = the number of quarters

Now,

   d + q = 27                        -------------------------- (1)

⇒ d = 27 - q                      

⇒ 0.10d + 0.25q = 4.20                -------------------------- (2)    

Multiply both sides of this equation by 100 to get rid of the decimal points.

10d + 25q = 420

⇒ 10(27- q) + 25q = 420

⇒ 270 - 10q + 25q = 420

⇒ 15q = 150

⇒ q = 10

Now, Putting the value of q = 10 in equation (1) :

   d + 10 = 27

⇒ d = 27 - 10

⇒ d = 17

Therefore, there are 10 quarters and 17 dimes she have.

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the answer is just D

Answer:

π /5

Step-by-step explanation:

Use the form a * cos(bx−c) + d

Answer:

12

Step-by-step explanation:

1) FInd the sides of small triangle. Since it has 2 congruent angles it also has to congruent sides opposite those angles. So the sides adjacent (connected to) the right angle are both 6.

2) Find the hypotenuse (side opposite the right angle) in the small triangle

a^2 +b^2 = c^2

6^2 +6^2 = c^2

36+36 = c^2

72 = c^2

c = [tex]\sqrt{72}[/tex]

In simplified radical form  [tex]\sqrt{72\\[/tex] = 6[tex]\sqrt{2}[/tex]

3) Now find the sides of big triangle. It has 2 congruent angles therefore it has two congruent side opposite those angles. We know that one of the sides is 6[tex]\sqrt{2}[/tex] because it is also the hypotenuse of the small triangle. The other side adjacent to the right angle is also 6[tex]\sqrt{2}[/tex].

4) Now find x which is the hypotenuse of the big triangle.

[tex](6\sqrt{2} )^{2}[/tex]+                    [tex](6\sqrt{2} )^{2}[/tex]= [tex]c^{2}[/tex]

(36*2)+(36*2) = [tex]c^{2}[/tex]

144 = [tex]c^{2}[/tex]

c = 12

so x = 12

Isa took 4 hour when  isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours

What is a definition distance?

the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness

when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.

so isa took 4 hour

on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day

isa tool 14 hour

find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited

length of flight is 18 hour

time difference will be 14-4 = 10 hour

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3/7 of the posters are hanged in the hallway.

A fraction represents a part of a whole.

Given that Dave spreads out a roll of paper and cuts it into 7 equal-sized posters.

He decorates the posters and takes them to school.

Dave hangs 4 posters on the side of the gym

4/7 of the posters are on the  side of the gym.

The remaining posters are in the hallway.

1-4/7

LCM is 7

7-4/7

3/7

Hence, 3/7 of the posters are hanged in the hallway.

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An equation that Elena can use to find the height 'h' is h = 24/b.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a triangle is (1/2)×base×height.

Given, Elena is designing a logo in the shape of a triangle having an area of 12 square inches.

Therefore,

(1/2)×base×height = 12.

b×h = 12×2.

b×h = 24.

So, Elena can use the following equation to get the height 'h',

h = 24/b.

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