There are 25 students performing in their holiday concert. Of students 11 are boys. What decimal represents the fraction of the students that are boys

Answers

Answer 1

Hello!

The fraction would be: 11/25

11/25 as a decimal is: 0.44

So, 0.44 of the 25 students are boys.

I really hope this helped you out! :)

Answer 2

That would be 11/25 = 0.44.

Related Questions

The difference in elevation of a helicopter and a submarine is 18 1/2 meters. The elevation of the submarine is -7 3/4 meters. Write and solve an equation to find the elevation h (in meters) of the helicopter

Answers

The helicopter is above sea level and the sub below sea level.

One way in which to write an equation here is |-7 3/4 meters| + h = 18 1/2.

let the elevation of the submarine = s, and elevation of the helicopter = h

the difference in elevation = h - s = 18 1/2

the question gives us the value of s: -5 3/4

so sub that into our first equation

h - (-5 3/4) = 18 1/2
h + 5 3/4 = 18 1/2
h = 18 1/2 - 5 3/4
h = 12 3/4

hope it helps :)

How many dozens are there in 22 gross of nails

Answers

One gross is 144 nails. You have to multiply 22 by 144 to see how many nails in total there are:
22 * 144 = 3168
One dozen has 12 items. So in order to see how many dozens there are, you have to divide 3168 by 12:
3186 / 12 = 264

The correct answer is 264 dozens.

In 22 gross of nails, there are 264 dozens as one gross is equal to 12 dozen.

To find out how many dozens are there in 22 gross of nails, we need to determine the number of dozens in one gross and then multiply it by 22.

One gross is equal to 12 dozen.

So, to find the number of dozens in 22 gross of nails.

we can multiply 12 (number of dozens in one gross) by 22:

12 x 22

= 264

Therefore, there are 264 dozens in 22 gross of nails.

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At a sports camp, there is one counselor for every 12 campers. If there are 156 campers attending the camp, which equivalent ratios could be used to find the number of counselors?

Answers

Hello There!

It is 1:12 for counselor to camper
If there are 156 campers, follow these steps:
1 + 12 = 13
156/12 = 13
1 x 13 = 13
12 x 12 = 156
The ratio now is 13:156.
Meaning there are 13 counselors.

Hope This Helps You!
Good Luck :)

- Hannah ❤

The equivalent ratios could be used to get the number of counselors who will be 13.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

At a sports camp, there is one counselor for every 12 campers.

If there are 156 campers attending the camp.

The equivalent ratios could be used to get the number of counselors who will be

⇒ 156 / 12

⇒ 13

The equivalent ratios could be used to get the number of counselors who will be 13.

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Please need help as quick as you can . What is the slope of the line that passes through the points (16, –1) and (–4, 10)? A. -20/11 B. -11/20 C. 11/20 D. 20/11

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 16}}\quad ,&{{ -1}})\quad % (c,d) &({{ -4}}\quad ,&{{ 10}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-(-1)}{-4-16}\implies \cfrac{10+1}{-4-16} \\\\\\ -\cfrac{11}{20}[/tex]

How much do parents pay per day? If a childcare center charges $150 per week during the school year. In the summer, parents can pay a prorated amount based on the number of days of attendance.

Answers

During the school year, children usually go to the childcare 5 days per week.
Knowing that parents pay $150 per week, we can divide this amount by the number of days children go to the childcare in order to find the daily payment.

This is done as follows:
daily payment = $150 / 5 = 30$ per day

help me solve this, Pre-Calculus Question
I only need the last part

Answers

first do f(a+h)-f(a)
[tex] \frac{5a+5h}{a+h-1} - \frac{5a}{a-1} [/tex]

make the denominators the same and simplify:
[tex] \frac{(5a+5h)(a-1)}{(a+h-1)(a-1)} - \frac{5a(a+h-1)}{(a+h-1)(a-1)} [/tex]

expand: [tex] \frac{5a^2-5a+5ah-5h-(5a^2+5ah-5a)}{(a+h-1)(a-1)} [/tex]
simplify: [tex] \frac{-5h}{(a+h-1)(a-1)} [/tex]

now divide it by h, you have: [tex] \frac{-5}{(a+h-1)(a-1)} [/tex]

[tex]\bf \cfrac{f(a+h)-f(a)}{h}\implies \cfrac{\frac{5a+5h}{a+h-1}~~-~~\frac{5a}{a-1}}{h}\impliedby \stackrel{LCD}{(a+h-1)(a-1)} \\\\\\ \cfrac{\frac{(a-1)(5a+5h)~~-~~(a+h-1)(5a)}{(a+h-1)(a-1)}}{h} \\\\\\ \cfrac{\frac{5a^2+5ah-5a-5h~~-~~(5a^2+5ah-5a)}{(a+h-1)(a-1)}}{h}[/tex]

[tex]\bf \cfrac{\frac{\underline{5a^2+5ah-5a}-5h~~\underline{-5a^2-5ah+5a}}{(a+h-1)(a-1)}}{h}\implies \cfrac{\frac{-5h}{(a+h-1)(a-1)}}{h} \\\\\\ \cfrac{\frac{-5h}{(a+h-1)(a-1)}}{\frac{h}{1}}\implies \cfrac{-5h}{(a+h-1)(a-1)}\cdot \cfrac{1}{h} \\\\\\ \cfrac{-5\underline{h}}{\underline{h}(a+h-1)(a-1)}\implies \cfrac{-5}{(a+h-1)(a-1)}[/tex]

Convert 5.4 ⋅ 103 to standard form. 0.0054 0.00054 5,400 54,000

Answers

5.4 * 10³ = 5,400 is your Answer

Answer:

5400

Step-by-step explanation:

Convert 5.4 ⋅ 103 to standard form.

[tex]5.4 \ times \ 10^3[/tex]

for 10^3 we add 3 zeros

10^3= 10 times 10 times 10=1000

[tex]5.4 \ times \ 10^3[/tex]

Replace 10^3 by 1000. then multiply with the decimal number

[tex]5.4 \ times \ 1000[/tex]

When we multiply by 1000 we move the decimal point 3 places to the right

5400

After doing this I got 1/4. Can someone plz show and explain what I did wrong? 7- 3r = r - 4(2 + r)

Answers

First distribute on the right
7-3r=r-8-4r

Combine like terms
7-3r=-4-3r

Add 3r to both sides
7=-8

The resulting statement is false so there is no real number solution.

Final answer: No solution

Eric has 4 bags of 10 marbles and 6 single marbles . how many marbles does eric have

Answers

He has 46 marbles in total

First, you would multiply the number of bags by the quantity in each.
4 x 10 = 40

Next, you would add the single marbles.
40 + 6 = 46

Your answer would be 46.

I hope this helps!

A child can explain that 3x2 represents three sets of two

Answers

A child can explain that 3×2 represents 3 sets of 2. Concrete operational, mathematical transformations. A child doesn't sneak a cookie when his mom outside because he thinks that she can see what he sees.

A child can correctly explain that 3 x 2 represents three sets of two. This child is most likely in Piaget's Concrete Operational stage option (C) is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

As we know,

A young toddler may properly identify three sets of two as being represented by 3 x 2.

This child is most likely in Piaget's Concrete Operational stage.

Thus, a child can correctly explain that 3 x 2 represents three sets of two. This child is most likely in Piaget's Concrete Operational stage option (C) is correct.

The complete question is:

A child can correctly explain that 3 x 2 represents three sets of two. This child is most likely in Piaget's _____________ stage.

sensorimotor stagepreoperationalconcrete operationalformal operational

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If a radio station call letters must begin with either K or W and must include either two or three additional letters, how many different possibilities are there?

Answers

There are a total of 26 letters that can be made to follow. There are 4 independent events here, namely:

First: Starts with K and followed by two additional letters = 1 * 26 * 26 = 676

Second: Starts with K and followed by three additional letters = 1 * 26 * 26 * 26 = 17,576

Third: Starts with W and followed by two additional letters = 1 * 26 * 26 = 676

Fourth: Starts with W and followed by three additional letters = 1 * 26 * 26 * 26 = 17,576

The total possibilities that can be made from here is:

Total possibilities = 676 + 17,576 + 676 + 17,576

Total possibilities = 36,504

Lilly has a bag of 140 colored marbles. The bag has an equal number of green and blue marbles and an equal number of red and yellow marbles. If Lilly arranged all of the green marbles in groups of 8 and all of the blue marbles in groups of 7, how many red marbles are in the bag?

Answers

Okay. I think to find the number of green and blue marbles each, we have to find the LCM of 8 and 7. The LCM of 8 and 7 is 56. There are 56 green marbles and 56 blue marbles. That a total of 112 marbles combined. 140 - 112 = 28. There are 28 red and yellow marbles. There are an equal number of both. 28/2= 14. There are 14 red marbles in the bag.

A car manufacturer claims that, when driven at a speed of 50 miles per hour on a highway, the mileage of a certain model follows a normal distribution with mean μ = 30 miles per gallon and standard deviation σ= 4 miles per gallon.

Answers

84 miles per gallon maybe

For the x-values 1, 2, 3, and so on, the y-values of a function form a geometric sequence that increases in value. What type of function is it? A. Exponential growth B. Decreasing linear C. Increasing linear D. Exponential decay

Answers

Answer:

Option A: Exponential growth

Step-by-step explanation:

If for values of x values of y increases and forms a geometric sequence then it would be an exponential growth function because geometric sequence is an exponential function and since, it is increasing hence, an exponential growth.

Option B is incorrect because because y is not decreasing

Option C and D are incorrect because geometric sequence can never be linear since, it gives common ratio.

Final answer:

The function described, where y-values form an increasing geometric sequence as x-values increase, is characterized as Exponential growth. This is consistent with an exponential curve where the rate of growth is proportional to the current value, which aligns with the behavior of a geometric sequence.

Explanation:

For the given scenario where the y-values of a function form a geometric sequence that increases for the x-values 1, 2, 3, and so on, the type of function is described as Exponential growth. This is because in a geometric sequence each term after the first is found by multiplying the previous term by a constant called the common ratio, which is analogous to the exponential function where the growth rate of the value is proportional to its current value. The more the x-value increases, the higher and faster the y-value grows, following the pattern of an exponential growth curve.

Answer A. Exponential growth fits the description as it involves an increasing geometric sequence. Answer B. Decreasing linear refers to a linear function that decreases with each increment in x, which does not describe the function in question. Similarly, Answer C. Increasing linear describes a function that increases at a constant rate, not geometrically. Answer D. Exponential decay would imply the y-values decrease as x increases, which is also not the case described.

F(x, y) = x2 + y2 + 4x − 4y, x2 + y2 ≤ 81 find the extreme values of f on the region described by the inequality.

Answers

Take partial derivatives and set them equal to 0:

[tex]\nabla F(x,y)=\langle2x+4,2y-4\rangle=\mathbf 0[/tex]

We find one critical point within the boundary of the disk at [tex](x,y)=(-2,2)[/tex]. The Hessian matrix for this function is

[tex]\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2&0\\0&2\end{bmatrix}[/tex]

which is positive definite, and incidentally independent of [tex]x[/tex] and [tex]y[/tex], so [tex]F(x,y)[/tex] attains a minimum [tex]F(-2,2)=-8[/tex].

Meanwhile, we can parameterize the boundary by [tex]\mathbf r(t)=\langle9\cos t,9\sin t\rangle[/tex] with [tex]0\le t\le2\pi[/tex], which gives

[tex]F(x,y)=F(x(t),y(t))=f(t)=81\cos^2t+81\sin^2t+36\cos t-36\sin t=81+36(\cos t-\sin t)[/tex]

with critical points at

[tex]f'(t)=0\implies 36(-\sin t-\cos t)=0\implies\sin t+\cos t=0\implies t=\dfrac{3\pi}4,\dfrac{7\pi}4[/tex]

At these points, we get

[tex]f\left(\dfrac{3\pi}4\right)=81-36\sqrt2\approx30.0883[/tex]
[tex]f\left(\dfrac{7\pi}4\right)=81+36\sqrt2\approx131.9117[/tex]

so we attain a maximum only when [tex]t=\dfrac{7\pi}4[/tex], which translates to [tex](x,y)=\left(\dfrac9{\sqrt2},-\dfrac9{\sqrt2}\right)[/tex].

The extreme values of a function are the minimum and the maximum values of the function.

The extreme values are: -8 and 131.91

The given parameters are:

[tex]\mathbf{F(x,y) = x^2 + y^2 + 4x - 4y}[/tex]

[tex]\mathbf{x^2 + y^2 \le 81}[/tex]

Find the gradient of F(x,y)

[tex]\mathbf{f_x(x) = 2x + 4}[/tex]

[tex]\mathbf{f_y(y) = 2y - 4}[/tex]

Set to 0, to solve for x and y

[tex]\mathbf{2x + 4 = 0}[/tex]

[tex]\mathbf{2x = -4}[/tex]

[tex]\mathbf{x = -2}[/tex]

[tex]\mathbf{2y - 4 = 0}[/tex]

[tex]\mathbf{2y = 4}[/tex]

[tex]\mathbf{y = 2}[/tex]

So, the critical point is:

[tex]\mathbf{(x,y) = (-2,2)}[/tex]

Also, we have: [tex]\mathbf{x^2 + y^2 \le 81}[/tex]

Calculate the gradients

[tex]\mathbf{g_x = 2x}[/tex]

[tex]\mathbf{g_y = 2y}[/tex]

Equate the gradients as follows:

[tex]\mathbf{f_x = \lambda \cdot g_x}[/tex]

[tex]\mathbf{f_y = \lambda \cdot g_y}[/tex]

So, we have:

[tex]\mathbf{2x + 4 = \lambda \cdot 2x}[/tex]

[tex]\mathbf{2y - 4 = \lambda \cdot 2y}[/tex]

Make [tex]\mathbf{\lambda}[/tex] the subject, in the above equations

[tex]\mathbf{\lambda = \frac{x + 2}{x}}[/tex]

[tex]\mathbf{\lambda = \frac{y - 2}{y}}[/tex]

Equate the above equations, so we have:

[tex]\mathbf{\frac{x + 2}{x} = \frac{y - 2}{y} }[/tex]

Cross multiply

[tex]\mathbf{xy + 2y = xy - 2x}[/tex]

Subtract xy from both sides

[tex]\mathbf{2y =- 2x}[/tex]

Divide both sides by 2

[tex]\mathbf{y =- x}[/tex]

Substitute [tex]\mathbf{y =- x}[/tex] in [tex]\mathbf{x^2 + y^2 = 81}[/tex]

[tex]\mathbf{x^2 + (-x)^2 = 81}[/tex]

[tex]\mathbf{x^2 + x^2 = 81}[/tex]

[tex]\mathbf{2x^2 = 81}[/tex]

Divide both sides by 2

[tex]\mathbf{x^2 = \frac{81}{2}}[/tex]

Take square roots

[tex]\mathbf{x = \±\frac{9}{\sqrt2}}[/tex]

Rationalize

[tex]\mathbf{x = \±\frac{9\sqrt2}{2}}[/tex]

Recall that: [tex]\mathbf{y =- x}[/tex]

So, we have:

[tex]\mathbf{y = \±\frac{9\sqrt2}{2}}[/tex]

The ordered pairs are:

[tex]\mathbf{(x,y) = \{(\frac{9\sqrt2}{2},-\frac{9\sqrt2}{2}),(-\frac{9\sqrt2}{2},\frac{9\sqrt2}{2})\}}[/tex]

Hence, the points are:

[tex]\mathbf{(x,y) = \{(-2,2),(\frac{9\sqrt2}{2},-\frac{9\sqrt2}{2}),(-\frac{9\sqrt2}{2},\frac{9\sqrt2}{2})\}}[/tex]

Substitute these values in [tex]\mathbf{F(x,y) = x^2 + y^2 + 4x - 4y}[/tex]

[tex]\mathbf{F(2,2) = (-2)^2 + 2^2 + 4(-2) - 4(2) =-8}[/tex]

[tex]\mathbf{F(\frac{9\sqrt2}{2},-\frac{9\sqrt2}{2}) = (\frac{9\sqrt2}{2})^2 + (-\frac{9\sqrt2}{2})^2 + 4(\frac{9\sqrt2}{2}) - 4(-\frac{9\sqrt2}{2}) =131.91}[/tex]

[tex]\mathbf{F(-\frac{9\sqrt2}{2},\frac{9\sqrt2}{2}) = (-\frac{9\sqrt2}{2})^2 + (\frac{9\sqrt2}{2})^2 + 4(-\frac{9\sqrt2}{2}) - 4(\frac{9\sqrt2}{2}) =30.09}[/tex]

Hence, the extreme values of the function are: -8 and 131.91

Answers

V = (pi)(radius^2)(height) or (pi)(r^2)(h)
= (3.14)(8^2)(8)
= (3.14)(8*8)(8)
= (3.14)(512)
= 1607.7 in^3

five friends went to a local restaurant and all had the buffet at $6.75 each. the following is the restaurant bill. does it seem reasonable 5($6.75) =&67.50

Answers

No I think not really to sure

Yes because your food had cost $6.75 each for 5 people, so if you had a bill of $67.50 and your concern about is it reasonable just budget it out.

A pizzeria baked 12 pizza pies in 3 hours. At this rate, how many pizza pies can they bake in 7 hours?

Answers

28; 12 divided by 3 is four. That is the rate. Then multiply 7x4=28

first find the hourly rate for how many pies they bake in 1 hour and multiply it by 7

12 pizzas / 3 hours is 4 pizzas per hour

4 pizzas per hour * 7 hours = 28 pizzas

Find the area of the specified region shared by the circles r = 4 and r = 8sin

Answers

ind the area shared by the circles r=2cos(theta) and r=2sin(theta).

i know the general formula for finding the area, but i don't know which is the outside one, and which is the inside circle. but i've tried both ways and am still not getting the right answer.

so let's just say i'll try it with integral .5(4cos(x)^2-.5(4sin(x)^2)
i can factor out a 2, giving me cos(x)^2-sin(x)^2. the integral of that, i believe, can be expressed as 4sin(2x). now i figured the limits of integration were from 0 to pi/4, because those are the two places the circles intersect. so evaluating there, i would get 4-0=4. but I've been told the answer is pi/2 -1. so where am i going wrong, because i'm way off.

Write the equation of a line, in general form , that has an slope of zero and a y-intercept of (0, -6).

Answers

Use the slope-intercept form.
y = mx + b,

where m = slope and b = y-intercept.
Your y-intercept is -6, so b = -6.
The slope is zero, so m = 0

y = mx + b

y = 0x + (-6)

y = -6

Triangle ABC has two known angles. Angle A measures 55 degrees. Angle b measures 30 degrees.What is the measure of angle C?

Answers

95 Degrees, 180-55-30=95

The correct measure of angle C is 95 degrees. Hope this helps.

a construction crew Must build 4 miles of road in one week on Monday they build 1/2 mile of road in one week on Tuesday they build 1/3 mile of road how many more miles of road are left to build

Answers

To solve this, you need to make the amount they built on Monday and the amount they built on Tuesday compatible with each other so you can add them together to subtract that amount from 4.

Start by multiplying 1/2 by 3, and 1/3 by 2.

This gives you 3/6 and 2/6. Now add them together:

3/6 + 2/6 = 5/6

Finally, subtract this amount from 4:

4 - 5/6 = 3 1/6 (19/6 works too)

Hope this helps! :)

4 - 1/2 - 1/3
24/6 - 3/6 - 2/6 = 19/6 = 3 1/6

A polygon has vertices at (4, 1), (4, 7), (10, 7) and (10, 1). How does the perimeter of the polygon change if each coordinate is multiplied by 3?

Answers

check the picture below.

multiplying each point by 3, will give us the larger square of (12,3), (13, 21), 30,21) and (30,3).

notice what happened to the perimeter.

Determine all possible angles θ for equilibrium, 0∘<θ<90∘.

Answers

If the tension of a cable AB and BC is represented as Fab and Fac, using the equilibrium equations equation 1:Fab cos 40 degrees - Fac cos x = 0where x is the angle we are looking for,0.766Fab - Fac cox x = 0equation 2:-200 + Fab sin 40 degress + Fac sin x = 00.643Fab + Fac sin x = 200solving the tension we getFab = 311.04lbFac = 238.26 lb
substitute 30 degrees to x on equation 1 and 2, we getFab = 184.31lb, Fac = 163lb
substitute 45 degrees to x on equations 1 and 2, we getFab = 141.9lb, Fac = 153.77lb
substitute 60 degrees to equation 1 and 2,we getFab = 101.5lb, Fac = 155.55lb
substitute 90 degrees to x on eqn 1 and 2 we getFab = 0lb, Fac = 200lb
There 90 is not a possible answer.
Possible angles are 30 degrees, 45 degrees and 60 degrees

Is the symbol (x¯¯) used for the population mean or sample mean?

choices are.....
population mean
sample mean

Answers

it use for population mean
x=poluation mean

Final answer:

The symbol x is the sample mean, and the Greek symbol μ is the population mean.

Explanation:

The symbol x is the sample mean, and the Greek symbol μ is the population mean. Calculating the Standard Deviation: If x is a number, then the difference x - mean is called its deviation. In a data set, there are as many deviations as there are items in the data set. The deviations are used to calculate the standard deviation. If the numbers belong to a population, in symbols, a deviation is x - μ. For sample data, in symbols, a deviation is x - x.

What is the meaning of the term theorem

Answers

There are 4 terms in the world of *Mathematical proof*
Lemma, Proposition, Corollary and Theorem.
There is no difference between a lemma,
proposition, theorem, or corollary - they are all claims waiting to be proved. However, we use these terms to suggest different levels of importance and difficulty. A lemma is an easily proved claim which is helpful for proving other propositions and theorems, but is usually not particularly interesting in
its own right. A proposition is a statement which is interesting in its own right, while a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently

4 1/6 divided by 1 2/3 =

Answers

are they fractions?
if so then the answer is
5/2 or mixed number form would be 2 1/2

Change both expressions to improper fractions:

25/6 divided by 5/3. Since the LCD is 6, let's rewrite that as 25/6 div. by 10/6.

Answer: 25/10 = 2.5, or 2 1/2

Lin was waiting to check out at a store. She estimated her total bill to be $20. The actual total was $24.16. What is the difference between Lin’s estimate and the actual total?

Answers

I think its 4.16 I'm not sure tho

Answer:

4.16

Step-by-step explanation:

Sence Lin estimated $20 and her actucal bill was $24.16. To find the difference, we subtract 20 from 24.16.

[tex]24.16-20=4.16[/tex]

There are 365,493 blue pens and 549,384 black pens how many more black pens are there then blue pens

Answers

Take the larger number and subtract the smaller number and you get 183,891

By subtracting the number of blue pens from the number of black pens, we find that there are 183,891 more black pens than blue pens.

To find out how many more black pens there are than blue pens, we need to subtract the number of blue pens from the number of black pens. The student provided the numbers as 365,493 blue pens and 549,384 black pens.

Here is the calculation:

Number of black pens: 549,384Number of blue pens: 365,493Difference (black pens - blue pens): 549,384 - 365,493 = 183,891

There are 183,891 more black pens than blue pens.

the weight of an object on the moon is about .167 of its weight on Earth. How much does a 180 lb astronaut weigh on the moon?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{lbs}{earth}&\stackrel{lbs}{moon}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&0.167\\ 180&x \end{array}\implies \cfrac{1}{180}=\cfrac{0.167}{x}\implies x=\cfrac{180\cdot 0.167}{1}[/tex]

The astronaut will weigh less on the moon. Determine how much the scale will indicate by multi. 180 lb by 0.167: (180 lb)(0.167) = 30.06 lb.

Other Questions

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