The ratio of the number of girls to the number of boys in Mrs. Jensen’s class was 15:25. How is this ratio represented as a fraction in simplest form?




PLZZZ TIMED TEST

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Answer:

according to theorm 8 of basic geometry the answer is 6

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

Answer:

-5x-11

Steps:

9-5(x+4)

9-5x-20

-5x-11

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)

\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)

\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)

\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)

\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)

\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)

(1.04)^m

m= Months

One year has 12 months_

(1.04)^12 = 1.60

0.60 = yearly rate of growth

radius = 4 units

Volume of cylinder, = 401.92 unit³

Volume of cone =133.97 unit³

Volume of sphere, =803.84 unit³

Volume is the amount of space in a certain 3D object

Given:

d= 8 units

r= 4 units

h= 8 units

radius = 4 units

Volume of cone,

= 1/3πr²h

=1/3*3.14*4*4*8

=133.97 unit³

Volume of cylinder,

= πr²h

=3.14*4*4*8

= 401.92 unit³

Volume of sphere,

= 4/3 πr³

=4/3*3.14*4*4*4

=803.84 unit³

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Answer:

X-intercept: \((\frac{14}{3}, 0)\).

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

\(\frac{3x}{3} = \frac{14}{3}\)

\(x = \frac{14}{3}\)

Therefore, the x-intercept is \((\frac{14}{3}, 0)\).   None of the given option matches the value of the x-intercept.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

\(\frac{2y}{2} = \frac{14}{2}\)

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

We will find the distance from point A to the line as follows:

*First: We solve for 0 on the equation of the line, that is:

Now, we can see that the equation of the line has the form:

So, we use the following expression to determine the distance from the point to the line:

Now, we replace the values and solve for d:

So, the distance from point (15, -21) to the line 5x + 2y = 4 is approximately 2.4 units.

Answer:

3

Step-by-step explanation:

If he always  works 8 hours per day then he can take 3.75  days off.

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

He has  only have 30 hours of vacation time left,

Working time = 8 hours/day

Days off = ?

If he has 30 hours of vacation time left and you work 8 hours per day, you can take the following number of days off:

= 30 hours/8 hours per day

= 3.75 days

So, you can take 3.75 days off, which is equivalent to 3 full days and 12 hours.

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Answer: its A 4_20

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

Step-by-step explanation:

1) Take sin45

2) sin45= 3√2/ x

3) 3√2/sin45

4) x=6

Where x = hypotenuse

and sin 45 is opposite over adjacent

Answer:

1 x 8 = 2 x X

x=4

Step-by-step explanation:

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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The 99% confidence interval for the population mean cost is 38.37 to 269.97.

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.

The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.

According to the empirical rule,

P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.

Here μ = 154.17 and σ = 38.60.

Calculating the confidence interval:

154.17 -  (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)

38.37 ≤ X ≤ 269.97

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Answer:

60

Step-by-step explanation:

Answer:

x = 55, upper left angle is 135, down left angle is 55

Step-by-step explanation:

The shape is a quadrilateral and all of the quadrilaterals angles added together is 360 degrees and that little square at the bottom right of the shape means it's a right angle and a right angle is 90 degrees so:

4x - 85 + 80 + x + 90 = 360

rearrange to make it easier to add like terms

4x + x - 85 + 80 - 90 = 360

add like terms

5x + 85 = 360

subtract 85 from both sides

5x = 275

divide both sides by 5

x = 55

Plug 55 into 4x - 85 to find the angles

4(55) - 85 = 135

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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14 + (-5) = 9 represents the correct expression of the distance between the friends.

To find the distance between the friends, we need to add up the total distance they have walked in opposite directions. We can represent the distance Joy walked forward as 14, and the distance Shaunte walked backwards as -5 (since she walked in the opposite direction). Therefore, the expression that correctly represents the distance between the friends is:

14 + (-5) = 9

So the distance between the friends is 9 steps.

The method used to find the distance between the friends was to calculate the total distance that each person walked, and then add or subtract these distances depending on the direction they walked. This is an example of using vector addition and subtraction to find the net displacement between two objects. In this case, the net displacement is simply the distance between the friends.

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Answer:

D) x = 8

Step-by-step explanation:

The information given states that ABCD is similar to RSTU.

Line BC is similar to Line ST. ST is 2 times larger that BC.

Line AB is similar to Line RS. RS must be 2 times larger than AB as well, so multiply 4 x 2 to get x = 8.

Hope it helps!!!

Answer:

C. \(x = 9\)

Step-by-step explanation:

\(x -15 = -6 \\ x -15 +15 = -6 +15 \\ x = 9\)

Answer:

x=5

Step-by-step explanation:

36x-20=160

first, find the value of x

add 20 from both sides

36x-20=160

+20 +20

36x=180

then, divide 36 from both sides to get x by itself

36x/36=140/36

x=5

now, plug x into the equation to check your work

36(5)-20=160

multiply 36 and 5

180-20=160

subtract 20 from 180

180-20=160

Answer:

no clue

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

If you're asking how much you're burning per minute, it would be 15 calories. 120 divided by 8 equals 15. Hope this helps! :D

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation: