in a church, the ratio of adults to children is 6 to 11. if there are 306 people in the church, how many children are there?

To find the cost of each box, we solve an equation: 12x = 84. To find the amount Anne donates to each charity, we set up an inequality: y ≥ 120/4.

To solve the word problems, we can use equations or inequalities depending on the situation.

Question 3:

We are given that Max sold 12 boxes and earned $84. Let's assume the cost of each box is x dollars. The equation representing the given information is 12x = 84. To find the value of x, we divide both sides of the equation by 12: x = 84 / 12 = 7 dollars. Therefore, each box costs $7.

Question 4:

Anne donates at least $120 per month and divides her donations equally among 4 favorite charities. Let's assume the amount Anne donates to each charity is y dollars. The inequality representing the given information is y ≥ 120/4 = 30. Therefore, Anne donates at least $30 to each of her favorite charities per month.

Answer:-18

Step-by-step explanation:x in (-oo:+oo)

(1/2)*x = -9 // + 9

(1/2)*x+9 = 0

1/2*x+9 = 0 // - 9

1/2*x = -9 // : 1/2

x = -9/1/2

x = -18

x = -18

brainliest please

ANSWER

37°

EXPLANATION

The angle of elevation of the sun is the angle through which one has to raise the head to see the sun.

When a 24 feet tree casts a shadow of 36 feet, we can obtain a right triangle as shown in the diagram to help us calculate the angle of elevation of the sun.

Let x be the angle of elevation of the sun, then

[tex] \tan(x) = \frac{24}{36} [/tex]

[tex]x = \tan ^{ - 1} ( \frac{2}{3} ) = 37.433[/tex]

Hence, the angle of elevation of the sun is 37° to the nearest degree.

Answer:

Option B. n

Step-by-step explanation:

we know that

A regular polygon is a convex polygon whose angles are all congruent.The number of lines of symmetry in a regular polygon is equal to the number of sides a regular polygon has.

therefore

the answer is option B. n

Answer:

28 cupcakes and 12 muffins were sold.

Step-by-step explanation:

First identify what variable to use for cupcakes and muffins.

X→ Cupcakes

Y→ Muffins

Then you need to write two equations.

X+Y= 40

X= 4+2Y

Since you have the value of X you need to substitute.

(4+2Y)+Y= 40

Combine like terms.

4+3Y= 40

Now use Subtraction Property of Equality.

4+3Y= 40

-4           -4

Now you have 3Y= 36

You have to use Division Property of Equality now.

[tex]\frac{3Y}{3}[/tex]= [tex]\frac{36}{3}[/tex]

If done correctly you should get Y= 12

Afterwards you must get 12 and subtract it from 40.

40-12= 28

28 is the amount of cupcakes sold.

To check you can see that 28 is equal to 12×2+4.

Hope this helped!

The bake sale sold 28 cupcakes and 12 muffins. This was determined by setting up a system of two equations based on the problem details and solving for the number of cupcakes and muffins sold.

This is a problem of algebraic equations related to the real-world scenario of a bake sale. Here, we have two types of food items: cupcakes and muffins. According to the problem, the total number of cupcakes and muffins sold was 40. The information provided also states that the number of cupcakes sold was four more than twice the number of muffins sold.

To solve this problem, we need to set up a system of two equations. First, we know that the combined number of cupcakes (C) and muffins (M) is 40, so we can write this equation: C + M = 40. Secondly, we know that the number of cupcakes is four more than twice the number of muffins, giving us the second equation: C = 2M + 4.

Now, we can substitute the second equation into the first one, resulting in: 2M + 4 + M = 40. Simplifying this gives 3M + 4 = 40. Subtracting 4 from both sides gives 3M = 36. Dividing both sides by 3 then gives M = 12. Substituting M = 12 back into the first equation (C + M = 40), we find that C = 40 - 12 = 28.

So, the bake sale sold 28 cupcakes and 12 muffins.

https://brainly.com/question/953809

#SPJ3

Answer:

$2.50

Step-by-step explanation:

just do 1 for the first hour then .5 for the next 2 then .5 for the remaining 49 minutes

Answer: $2.50

Step-by-step explanation: The formula to solve the cost of parking is $1 for the first hour + (3 x .5) for the additional three hours.

1 + (3 x .50) = 1 + 1.50 = $2.50 is the cost to park.

Answer:X*2+4=y

Step-by-step explanation:Ok, so, we can pull four different points from this equation.

The monkey eats 4 apples each morning

The monkey eats 2 bananas for each 1 Tommy has

The number of bananas Tommy eats is marked as X

The number of fruits the monkey eats is marked as y

Let's start with Tommy.

X

Tommy eats X amount of bananas. Next the monkey.

X=y

The monkey eats y amount of bananas, but if you notice, he eats double to amount Tommy eats. So let's double Tommy's bananas.

X*2=y

You'll also notice, the monkey eats four apples everyday. Now, we're looking for the monkey's FRUIT intake, where as we're only looking at Tommy's BANANA intake. So, let's add that to the equation.

X*2+4=y

And there's the equation right there.

Answer:

6 hours

Step-by-step explanation:

1. Divide the total miles (330) by the speed (55)

  330/55 = 6

Answer:

Its true ⇒ answer (a)

Step-by-step explanation:

* The solution of two linear equation means that this solution

  is a solution for each equation

* To check if the point is a solution of an equation

- Substitute its coordinates in the equation, if the left hand side

 is equal the right hand side, then the point is a solution

 of this equation

* Lets study our problem

- (-2 2) is the solution of two linear equations

- The slope of one equation is 3

- The slope of the second equation is the negative reciprocal

 of the slope of the first, means = -1/3

* Check the this conditions in the given equations

- In the equation y = 3x + 8 ⇒ the slope = 3

- In the equation y = -1/3 x + 4/3 ⇒ the slope = -1/3

* Now lets substitute the solution (-2 , 2) in the both equations

- First equation

∵ y = 2 ⇒ L.H.S

∵ 3(-2) + 8 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = 3x + 8

- Second equation

∵ y = 2 ⇒ L.H.S

∵ (-1/3)(-2) + 4/3 = 2/3 + 4/3 = 6/3 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = -1/3 x + 4/3

∴ (-2 , 2) is the solution of the two equations

* Its true

[tex]5x + 17 = 4x - 9\Leftrightarrow x = - 26[/tex]

The mystery number satisfying the equation 5x + 17 = 4x - 9 is -26. To find this, we subtract 4x and then 17 from both sides of the equation.

The student is asking to find the mystery number that satisfies the equation: 17 more than five times the number is equal to four times the number, decreased by nine.

Let's represent the mystery number as x. The equation based on the given statement is then:
5x + 17 = 4x - 9.

To solve for x, we need to isolate the variable. Here's the step-by-step solution:

Therefore, the mystery number is -26.

Answer:

-10,-3,1

1,-3,-10

Step-by-step explanation:

We are given that integers are -3,+1 and -10

We have to explain two ways in which we can use a number line to order the given integers.

The two ways are

1.Arrange in increasing order:From least to greatest

2.Arrange in decreasing order: From greatest to least

We know that when we go left side of zero on a number line then the value decreases and when we go right side of zero then the value increases.

1.-10 is smallest integer in the given integers and 1 is a largest integer.

Therefore, -10,-3,1.

2.In decreasing order

1,-3,-10

[tex]b. \tan(x) = 2[/tex]

all positive real numbers

Answer:

C. All real numbers

Step-by-step explanation:

The domain refers to all values of x that makes the function define.

The given given graph represents a  linear function.

A linear function is a polynomial function.

Polynomial functions are defined for all real numbers.

The correct choice is C.

Answer:

Option A.

Step-by-step explanation:

we have

Derek's account

[tex]D(t)=500(1+2.5t)[/tex]

Susan's account

[tex]S(t)=500(1+1.8)^t[/tex]

Using a graphing tool

see the attached figure

At first Derek's account balance will be greater, but eventually Susan's account balance will be greater

ANSWER

[tex]( \frac{g}{f} )(x) = \frac{1}{ 2x+3} [/tex]

The domain is:

[tex]x \ne1 \: or \: x \ne - \frac{3}{2}[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = 2 {x}^{2} + x - 3[/tex]

and

[tex]g(x) = x - 1[/tex]

[tex]( \frac{g}{f} )(x) = \frac{g(x)}{f(x)} [/tex]

[tex]( \frac{g}{f} )(x) = \frac{x - 1}{2 {x}^{2} + x - 3 } [/tex]

Factor the quadratic trinomial in the denominator.

[tex]( \frac{g}{f} )(x) = \frac{x - 1}{2 {x}^{2} +3 x - 2x- 3 } [/tex]

[tex]( \frac{g}{f} )(x) = \frac{x - 1}{ x(2x+3) -1 (2x + 3 )} [/tex]

[tex]( \frac{g}{f} )(x) = \frac{x - 1}{ (2x+3) (x-1)} [/tex]

Cancel the common factors,

[tex]( \frac{g}{f} )(x) = \frac{1}{ 2x+3} \: where \: x \ne1 \: or \: x \ne- \frac{3}{2} [/tex]

Answer:

The blue group ate 5/8 more pizza than the red group.

Step-by-step explanation:

7/8 - 2/8 = 5/8

Answer:

So what I had yesterday was yogurt, turkey, cheese, honey wheat bread, sandwich and eggs and bacon and biscuits

Yogurt=dairy

turkey=protien

cheese=dairy

bread=garin

eggs=protien

bacon=protien

bicuits=grain

milk=dairy

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

✯Hello✯

↪  First you need to work out what 40% of 120 is and that is 48

↪  Its been marked down by 40% so we need to do 120-48

↪  That is 72

↪  The coat is $72

❤Gianna❤

Given is :      

Monthly salary of Juan = $3200

Federal withholding is 14.1 % of 3200 = [tex]\frac{14.1}{100}*3200= 451.20[/tex]

Deductions for social security and medicare = $244.80              

So, total deductions of Juan are = [tex]451.20+244.80=696[/tex]  

So, Juan's monthly net pay is= [tex]3200-696=2504[/tex]  

= $2504 

Juan's net pay is calculated by first determining the federal withholding from his monthly salary and then subtracting the deductions for Social Security and Medicare. His net pay comes out to be $2,504 after all deductions.

To find Juan's net pay after deductions and taxes from his monthly salary of $3,200, we must first calculate the amount withheld for federal taxes, then subtract the fixed amount deducted for Social Security and Medicare. Juan's federal withholding is 14.1% of his gross pay, so we calculate 14.1% of $3,200 to find the federal withholding. Next, we subtract the total deduction for Social Security and Medicare from his gross salary.

The calculation for federal withholding is: $3,200 × 14.1% = $451.20

Therefore, the total deduction is: $451.20 (federal withholding) + $244.80 (Social Security and Medicare) = $696.

To find his net pay, we subtract the total deduction from the gross salary:

Net Pay = Gross Salary - Total Deduction = $3,200 - $696 = $2,504

Juan's net pay after all deductions is $2,504.

Answer:

Let

x = the number of pepperoni added to the pizza.

y = the number of mushrooms added to the pizza.

z = the number of onions added to the pizza.

u = the number of olives added to the pizza.

Twice as many onions as pepperoni

z = 2*x

Half as many mushrooms as olives

y = u/2

There are 39 individual toppings on the pizza

x + y + z + u = 39

We are dealing with a system of equation with 4 unknowns and only three equations.

2*x - z = 0

y  - u/2 = 0

x + y + z + u = 39

This means that there are an infinite number of solutions for your problem

For example, here is one solution

x = 1

z = 2

1 + y + 2 + (2y) = 39

3y = 36

y = 12

u = 24

To find the answer for this, it's a bit hard, but here is the formula

[tex](area \times 2) \div h[/tex]

We plug our numbers into the formula...

[tex](33 \times 2) \div 11[/tex]

66÷11=6

So the answer is 6mm

Answer:

True

Step-by-step explanation:

In general, when you compose a function [tex]f(x)[/tex] with its inverse [tex]f^{-1}(x)[/tex], you always get the identity function:

[tex]f(f^{-1}(x))=x[/tex]

The limitation [tex]-1\leq x \leq 1[/tex] is necessary because the arcsin function wouldn't be defined otherwise.

The statement 'sin(sin^-1 x) = x' is true for all real numbers x.

The statement 'sin(Sin^-1 x)=x for -1<=x<=1' is true. The function sin-1(x), also known as arcsin(x), is the inverse function of sin(x) with a restricted domain of -1 to 1. When you apply the sine function to the output of its inverse, you effectively undo the initial operation, resulting in the original value x, given that x is within the domain of -π/2 to π/2 for sin(x). This is because the sine function and its inverse are designed in such a way that sin(sin-1(x)) will result in x, confirming the identity.

Answer:

P is greater than 4

Step-by-step explanation:

so P could be anything from 5 to infinity

Final answer:

The inequality p > 4 is satisfied by any real number greater than 4. The solution is represented visually by shading the number line to the right of the open circle at 4.

Explanation:

The solution to the inequality p > 4 is all real numbers greater than 4. In other words, for any number p that is greater than 4, the inequality will hold true.

To visualize this solution on a number line, you would draw an open circle at 4 and shade all numbers to the right of 4, indicating that all those numbers are part of the solution set.

This is a basic concept in algebra, focusing on understanding and solving inequalities. The solution does not include the number 4 itself because the inequality is strictly greater than (not greater than or equal to).

Answer:

1/5

Step-by-step explanation:

She has 2 outcomes that satisfy a number less than 3.  She can choose either 1, or 2.  

There are 10 possible choices, so the probability is

2/10 = 1/5

Answer: [tex]=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given : The total  numbers from which Kelie randomly chooses a number = 10

The numbers less than 3 = 1,2

Now, the probability she chooses a number less than 3 will be :-

[tex]=\dfrac{\text{Numbers less than 3}}{\text{Total numbers}}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

Hence, the probability she chooses a number less than 3 [tex]=\dfrac{1}{5}[/tex]

Answer:

45 fish this year

Step-by-step explanation:

60 x .25 = 15

60 - 15 = 45

The question involves setting up and solving an algebraic equation to find a number such that 12 less than 7 times this number equals 32 less than the product of -3 and the number. The solution to the equation 7x - 12 = -3x - 32 is x = -2.

The phrase '12 less than 7 times a number' can be represented as 7x - 12, where 'x' is the number in question. The phrase '32 less than the product of -3 and a number' translates to -3x - 32. Setting these two expressions equal to each other gives us the equation 7x - 12 = -3x - 32.

To solve for 'x', we can first add 3x to both sides of the equation, which will give us 10x - 12 = -32. Next, we add 12 to both sides to isolate the term with 'x', resulting in 10x = -20. Finally, we divide both sides by 10 to find the value of 'x', which yields x = -2.

Therefore, the number that satisfies the condition is -2.

Answer:

$70

Step-by-step explanation:

$40x.75=30

30+40=$70

[tex]X[/tex] is the random variable for lifespan of a protozoan and [tex]X\sim\mathcal N(48,10.2^2)[/tex]. Let [tex]\bar X[/tex] be the mean of a sample from this distribution, so that [tex]\bar X\sim\mathcal N\left(48,\left(\dfrac{10.2}{\sqrt{49}}\right)^2\right)[/tex].

For the sake of clarity, I'm denoting a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] by [tex]\mathcal N(\mu,\sigma^2)[/tex].

We have

[tex]P(\bar X\ge49)=P\left(\dfrac{\bar X-48}{\frac{10.2}{\sqrt{49}}\ge\dfrac{49-48}{\frac{10.2}{\sqrt{49}}\right)\approx P(Z\ge0.6863)\approx0.2463[/tex]

(where [tex]Z[/tex] follows the standard normal distribution)

Answer:

I think its at least 2, but im not so sure

Answer:

At least 2 points

Step-by-step explanation:

If he throws the dart onto the board, the lowest possible score he can get is two, and if he hits the 4 or 8 point circles, it is still at least 2.

Answer:

A

Step-by-step explanation:

f^-1(x) is a common notation for the inverse of the function. An inverse of a function is a reflection over the line y=x. This results in the points (x,y) of the function becoming (y,x) for the inverse. Algebraically you find the inverse by switching the location of y and x in the equation of the function and solving.

y = -3x + 2

x = -3y + 2

x - 2 = -3y

-(x-2)/3 = y

-1/3x + 2/3 = y

The inverse of the function is a linear function because it follows the form y = mx+b for its equation. All lines are functions. The inverse is a function.

Answer:    a : f^1(x)= -1/3x +2/3 ; function

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

A circle is 360 degrees

We divide it into 20 parts

360/20 = 18

Each part is 18 degrees

We want the angle means of 3 of the parts

3*18 = 54

Three of the parts measures 54 degrees