Brooke and Kaden each sold 15 boxes of cookies for $2.25 per box. How much
money did they collect together? Show your work.

Answer:

Step-by-step explanation:

1. To reach his goal of $900, Gio will need to mow 900 - 250 = 650 dollars worth of lawns. Since each lawn mowing costs 25 dollars, he will need to mow 650 / 25 = 26 lawns.

2. The cost of the lunch meat was 30.25 - 5.25 - 3.25 = 22 dollars. Since there were 3 pounds of lunch meat, the cost per pound was 22 / 3 = 7.33 dollars.

3. Sari wants to create a rectangular dog run space with a width of 8 feet. Since the perimeter of the rectangle is 40 feet, the length of the rectangle must be 40 - 8 - 8 = 24 feet.

4. Let's call the number of batches Siara baked b. Siara's friend gave her 60 biscuits, so the total number of biscuits Siara baked is 360 - 60 = 300 biscuits. Since each batch makes 75 biscuits, Siara baked 300 / 75 = 4 batches.

5. Let's call the number of comic books on each shelf s. The total number of comic books in Jose's collection is 5 * s = 125 + 20 = 145 comic books. Therefore, s = 145 / 5 = 29 comic books. This means there are 29 comic books on each shelf, and Jose has a total of 29 * 5 = <<29*5=145>>145 comic books in his collection.

Answer:

7 baskets

Step-by-step explanation:

in the first game, he shot 6 baskets so

34 - 6 = 28

she shot the same number for each of the 4 games,

so divide 28 and 4.

the answer is 7

hope this helps

Using proportions, it is found that the correct statement is:

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

A proportion is a fraction of a total amount.

In this problem, the table is from a sample of 80 visitors.

Since the proportions stay the same, just the number of visitors change, the correct statement is given by:

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

As from the 80 students, 28 prefer camping and 14 prefer water sports, hence from 200, these numbers will be of 70 and 35 respectively.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports

Step-by-step explanation: If you add up all the number of visitors, you'll get 80. Since we want to find the numbers for the next 200 visitors, we'll divide 200 by 80, which will get us 2.5. Then you'll multiply all the numbers by 2.5 to get:

Camping = 70

Hiking Trails = 55

Water Sports = 35

Biking Trails = 40

After that, you'll just compare the numbers to get your answer.    

The exact value of tan(S) in simplest radical form is 2/(√42).

Given,

ST = √42 (opposite side to angle S)

TU = 2 (adjacent side to angle S)

US = √46 (hypotenuse of the triangle)

To find the value of tan(S), we need to determine the ratio of ST to TU.

In triangle it is mentioned that the angle of each.

Now, we can calculate the value of tan(S):

tan(S) = TU / ST

tan(S) = 2 /(√42)

Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).

for similar questions on radical form.

https://brainly.com/question/30459960

#SPJ8

The point estimate for the average quiz score for the entire class is 10 , the correct option is (d) .

In the question ,

it is given that ,

the scores of the quiz for the class is 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

we have to find the point estimate for the quiz score ,

we know that the point estimate is the mean of the sample drawn .

So , the mean of the score can be calculated using the formula ,

mean = (sum on scores) / (total number of students in class)

the sum is = 6 + 9 + 16 + 14 + 8 + 7 + 12 + 4 + 13 + 11

= 100

and the number of observation are 10 ,

So , mean = 100/10 = 10

point estimate is also = 10 .

Therefore , the point estimate for the entire class is 10 .

The given question is incomplete , the complete question is

Use the following sample data that represent quiz scores , the scores are 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

Calculate a point estimate for the average quiz score for the entire class.

(a) 8

(b) 11

(c) 12

(d) 10

Learn more about Point Estimate here

https://brainly.com/question/24896202

#SPJ4

Answer:

Step-by-step explanation:

Please see the 2 attachments

Answer:

Step-by-step explanation:

Solve

1

Add  

5

5

5

to both sides of the equation

1

1

−

5

=

2

8

11p-5=28

11p−5=28

1

1

−

5

+

5

=

2

8

+

5

11p-5+{\color{#c92786}{5}}=28+{\color{#c92786}{5}}

11p−5+5=28+5

2

Simplify

Add the numbers

Add the numbers

1

1

=

3

3

11p=33

11p=33

3

Divide both sides of the equation by the same term

1

1

=

3

3

11p=33

11p=33

1

1

1

1

=

3

3

1

1

1111p​=1133​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

p=3

p=3

Solution

=

3

so basically yeah p = 3

The equation of the tangent line to the graph of x^3 + y^4 = y + 1 at the point (-1, -1) is 3x - 5y = 2.

To find the equation of the tangent line to the graph of the equation x^3 + y^4 = y + 1 at the point (-1, -1), we can use the concept of implicit differentiation.

1. Start by differentiating both sides of the equation with respect to x:

  d/dx(x^3 + y^4) = d/dx(y + 1)

2. Differentiating each term:

  3x^2 + 4y^3(dy/dx) = dy/dx

3. Substitute the coordinates of the point (-1, -1) into the equation:

  3(-1)^2 + 4(-1)^3(dy/dx) = dy/dx

  Simplifying the equation:

  3 - 4(dy/dx) = dy/dx

4. Move the dy/dx terms to one side of the equation:

  3 = 5(dy/dx)

5. Solve for dy/dx:

  dy/dx = 3/5

Now we have the slope of the tangent line at the point (-1, -1), which is dy/dx = 3/5.

6. Use the point-slope form of a linear equation to find the equation of the tangent line:

  y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.

  Substituting the values into the equation:

  y - (-1) = (3/5)(x - (-1))

  Simplifying:

  y + 1 = (3/5)(x + 1)

7. Convert the equation to the standard form:

  5y + 5 = 3x + 3

  Rearrange:

 ∴ 3x - 5y = 2

To know more about tangent line refer here:

https://brainly.com/question/31617205#

#SPJ11

Answer:

1/2

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

6 out of the total 12 appliances sold were dishwashers, so the experimental probability that the next appliance sold will be a dishwasher is 6/12, or 1/2, or 0.50.

hi

you have twi points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

so  :      ( 5-6 )  /( -7- 5)  =     -1 /-12   =  1/12

Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

\(h^2= a^2+b^2.\)

and the perimeter is \(P=h+a+b\).

Since P=24 and a=6  we have these equations:

\(h^2=36+b^2\\24=h+6+b\)

From the last equation we have \(h=18-b\). Replace h in the first equation we get that

\((18-b)^2=36+b^2\)

\(18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8\)

and h=18-8=10

The value of 'a' that makes the given system a dependent system is 4.

To make the given system a dependent system, we need to find the value of 'a' that makes both equations equivalent or proportional.

Let's begin by rearranging the first equation so that it is in the standard form y = (2/3)x.

Now, let's substitute this expression for y in the second equation and simplify:

6y - a - 4x = 0

6(2/3)x - a - 4x = 0

4x - a = 0

We can see that if we choose 'a' to be equal to 4, then both equations will be equivalent. In other words, the system will become a dependent system with infinitely many solutions.

To see why, let's substitute 'a' as 4:

6y - 4 - 4x = 0

6y - 4x = 4

Now, if we compare this equation to the first one we wrote, y = (2/3)x, we can see that they are equivalent. Thus, any solution that satisfies the first equation will also satisfy the second equation, and vice versa. This means that we have infinitely many solutions to the system.

In conclusion, the value of 'a' that makes the given system a dependent system is 4.

learn more about dependent system here

https://brainly.com/question/30280867

#SPJ11

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

Answer:

A number divided by five

Step-by-step explanation:

or you could say one-fifth of a number

SANA ALL SMART HAHAHAHHAAHHAHAAHA

Explicación paso a paso:

Dado

Principal = 2,500,000

Tasa = 12% (anual)

tiempo = 5 años

Incremento después del primer año = 12% de 2.500.000

= 12/100 * 2,500,000

= 12 * 25000

= 300.000

El monto al final de los 5 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 5

A = 2500000 (1,12) ^ 5

A = 2500000 (1,7623)

A = 4.405.854,208

Por lo tanto, las ventas totales durante los primeros 5 años de operación son 4.405.854,208

Obtenga la cantidad obtenida en el quinto año

El monto al final de los 4 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 4

A = 2500000 (1,12) ^ 4

A = 2500000 (1,5735)

A = 3.933.798,4

Utilidad obtenida en el quinto año = 4.405.854,208 - 3.933.798,4

A = 4.405.854,208 - 3.933.798,4

A = 472.055,808

Por lo tanto, la ganancia obtenida en el quinto año es de 472,055.808

Monto realizado en el quinto año = Principal + intereses en el quinto año

Monto realizado en el quinto año = 2500000 + 472,055.808

Monto realizado en el quinto año = 2,972,055.808

Maybe one reason people who work in the pentagon never seem to agree on anything is that there are five sides to every story

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

To learn more about Triangle from given link.

brainly.com/question/2773823

#SPJ1

Answer:

The standard form of y = \(-\frac{2}{3}\) x + 7 is 2x + 3y = 21 ⇒ A

Step-by-step explanation:

The standard form of the linear equation is ax + by = c, where a, b, and c are integers

∵ y = \(-\frac{2}{3}\) x + 7

→ Multiply each term by 3 to cancel the denominator

∴ 3(y) = 3( \(-\frac{2}{3}\)) x + 3(7)

∴ 3y = -2x + 21

→ Add 2x to both sides to move x from the right side to the left side

∵ 2x + 3y = -2x + 2x + 21

∴ 2x + 3y = 21

∴ The standard form of y = \(-\frac{2}{3}\) x + 7 is 2x + 3y = 21

Answer:

3 percent

Step-by-step explanation:

sorry if its wrong, hope this helped

I) f is continuous at x=2

II) f is differentiable at x=2

These both f (function ) are true

The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.

Using this information, we can make the following conclusions:

I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.

II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.

III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.

Therefore, the correct answers are II and III.

To know more about differentiable and continuous equation , refer here :

https://brainly.com/question/30039201#

#SPJ11

Answer:thhe one on top good

Step-by-step explanation:

Answer:

V=12

U=

\(6 \sqrt{3 } \)

Answer:

a₂ = 12

Step-by-step explanation:

Given a₅ = 324

The term- to- term rule is ' multiply by 3 '

Then the reverse rule is ' divide by 3 '

a₄ = a₅ ÷ 3 = 324 ÷ 3 = 108

a₃ = a₄ ÷ 3 = 108 ÷ 3 = 36

a₂ = a₃ ÷ 3 = 36 ÷ 3 = 12

To find the equation of the tangent plane to the surface at the given point (6, 8, ln(10)), we need to use the gradient vector.

The gradient vector of the surface h(x, y) = ln√(x^2 + y^2) is given by:

∇h = (∂h/∂x, ∂h/∂y)

To find the partial derivatives, we differentiate h(x, y) with respect to x and y:

∂h/∂x = (∂/∂x)(ln√(x^2 + y^2)) = (1/√(x^2 + y^2)) * (∂/∂x)(√(x^2 + y^2))

= (1/√(x^2 + y^2)) * (x/(√(x^2 + y^2)))

∂h/∂y = (∂/∂y)(ln√(x^2 + y^2)) = (1/√(x^2 + y^2)) * (∂/∂y)(√(x^2 + y^2))

= (1/√(x^2 + y^2)) * (y/(√(x^2 + y^2)))

Evaluating these partial derivatives at the given point (6, 8, ln(10)), we have:

∂h/∂x = (6/(√(6^2 + 8^2))) = 3/5

∂h/∂y = (8/(√(6^2 + 8^2))) = 4/5

Now, we can use these values along with the point (6, 8, ln(10)) to write the equation of the tangent plane using the point-normal form:

(x - 6)(∂h/∂x) + (y - 8)(∂h/∂y) + (z - ln(10)) = 0

Substituting the values, the equation of the tangent plane is:

(x - 6)(3/5) + (y - 8)(4/5) + (z - ln(10)) = 0

Simplifying the equation will give the final form of the tangent plane equation.

Learn more about tangent here

https://brainly.com/question/30385886

#SPJ11

Answer:

10/27

Step-by-step explanation:

\(-\frac{2*-5}{9*3} \\\-\frac{-10}{9*3} \\-\frac{-10}{27} \\-(-\frac{10}{27} )\\\frac{10}{27}\)

The statement is false.

The volume of the sphere with a diameter of 12 ft is calculated as: 288π feet cubed.

The volume of a given sphere with a radius (r) is given as: V = 4/3πr³.

Given the following:

Volume of the sphere = 4/3π(6³)

Volume of the sphere = 288π feet cubed

Learn more about the volume of a sphere on:

https://brainly.com/question/20394302

#SPJ1

Answer:

288 Is the answer : )

Step-by-step explanation:

I got it right on the test (100%)