Charlie divided 15 cents among
four small bags.
He can use the four bags to pay any
amount between 1 cent and 15 cents, Bag without opening them.
How many cents did Charlie put in each bag?​

Answer:

The system represents the maximum amount of money that the parks department can spend on trees and the relationship between the number of oak trees, x, and elm trees, y.

Step-by-step explanation:

Compare the given situation and inequality. Oak trees cost $60 each, therefore, the variable associated with 60 in the inequality, x, represents the number of oak trees. Elm trees cost $80 each, therefore the variable associated with 80 in the inequality, y, represents the number of elm trees.

The city has up to $9,600 to spend on trees and the inequality uses a less than symbol. This means that the solution set will be at or below 9,600, which means that it is a maximum.

Consider the second inequality in the system. It shows that x is less than or equal to 3 times y. This is associated with the situation in that the number of oak trees, x, is no more than three times the number of elm trees, y. This is the relationship between the two types of trees.

Therefore, the system represents the maximum amount of money that the parks department can spend on trees and the relationship between the number of oak trees, x, and elm trees, y.

Answer:

hi :)

Step-by-step explanation:

Answer:

3x^2+14x-2 if you meant f(x)=3x^2+10x and g(x)=4x-2

and I think C was meant to read 3x^2+14x-2

Please correct me if I have mistranslated. Thank you kindly.

Step-by-step explanation:

I kind of wonder if you meant f(x)=3x^2+10x and g(x)=4x-2.

(f+g)(x)=f(x)+g(x)

          =(3x^2+10x)+(4x-2)

          =3x^2+10x+4x-2

          =3x^2+(10x+4x)-2  I paired 10x and 4x together because    they are like terms

         =3x^2+14x-2

Answer:

4p + 1 > −15 or 6p + 3 < 45

has solution any number.

The graph looks like this

<~~~~~~~~~~~~~~~~~~~~~~~~~~~>

     ---------(-4)---------(7)-------------

The shading is everywhere from left to right.

Step-by-step explanation:

Let's solve this first:

4p+1>-15

Subtract 1 on both sides:

4p>-16

Divide both sides by 4:

p>-4

or

6p+3<45

Subtract 3 on both sides:

6p<42

Divide both sides by 6:

p<7

So our solution is p>-4 or p<7

So let's graph that

~~~~~~~~~~~~~~~~~~~~~~~~~~~~O

                         O~~~~~~~~~~~~~~~~~~~~~~~~~~~~ p>-4

---------------------(-4)---------------------(7)--------------------

or is a key word! or means wherever the shading exist for either is a solution.

So this shading is everywhere.

The answer is all real numbers.

The final graph looks like this:

<~~~~~~~~~~~~~~~~~~~~~~~~~~~>

     ---------(-4)---------(7)-------------

The shading is everywhere from left to right.

Answer:

Solution is (-∞,∞)

Step-by-step explanation:

[tex]4p + 1 > -15 \ or \ 6p + 3 < 45[/tex]

Solve each inequality separately

[tex]4p + 1 > -15[/tex]

Subtract 1 from both sides

[tex]4p> -16[/tex]

Divide both sides by 4

[tex]p> -4[/tex]

Solve the second inequality

[tex]6p + 3 < 45[/tex]

Subtract 3 from both sides

[tex]6p< 42[/tex]

Divide both sides by 6

[tex]p< 7[/tex]

[tex]p> -4 \ or \p< 7[/tex]

Solution is (-∞,∞)

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

Answer:

Step-by-step explanation:

[tex](8+6i)(8-6i)\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=8^2-(6i)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=64-6^2i^2\qquad\text{use}\ i^2=-1\\\\=64-(36)(-1)\\\\=64+36\\\\=100[/tex]

The expression (8 + 6i)(8 - 6i) = 100.

= (8+6i) (8-6i)

=8^2 - (6i)^2

=64 - 6^2i^2

=64 - (36)(-1)

=64+36

=100

(8 + 6i)(8 - 6i) = 100.

An expression is a set of two or more numbers or variables and one or more mathematical operations. This math operation is addition, subtraction, multiplication, or division. The structure of the expression is as follows: The expression is (number/variable, math operator, number/variable)

. In mathematics, an expression is defined as a clause that contains numbers, variables, and operators used to indicate values. In mathematics, an equation is defined as a mathematical statement in which two terms are equal to each other.

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flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means

⌊ 2.5 ⌋ = 2

⌊ 2.00000001 ⌋ = 2

⌊ 2.999999999999⌋ = 2

⌊ -2.0000000001⌋ = -3

⌊ -2.999999999999⌋ = -3

let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.

⌊ -5.2 ⌋ = -6.

The notation [[x]] is not standard in typical mathematics; however, it seems that you are looking for a function that represents the floor of x. The floor function, often denoted as ⌊x⌋, is defined as the greatest integer that is less than or equal to x.
To find the floor of -5.2:
1. Identify the integer part of -5.2 without rounding. The integer part is -5 since this is the whole number component of -5.2.
2. Determine if the decimal part (.2 in this case) would cause the number to round up or down. Since the floor function requires us to find the greatest integer less than or equal to the number, we ignore the positive decimal part because it doesn't change the floor for negative numbers.
3. For positive numbers, the floor is the same as stripping away the decimal part without rounding. However, for negative numbers, if the number is not already an integer, the floor is actually one less than the integer part.
4. In the case of -5.2, because the number is negative and not an integer (due to the decimal part), the floor value is -6.
So, f(-5.2) = ⌊-5.2⌋ = -6.

Answer:

D year 15

Step-by-step explanation:

Given:

y= 8x^2-40x+6

year is the best prediction for when 1206

Finding value of x for y=1206

8x^2-40x+6= 1206

8x^2-40x+6-1206=0

8x^2-40x-1200=0

Solving the above by quadratic formula:

x= [tex]\frac{-b\sqrt{b^{2}-4ac } }{2a}[/tex]

 = [tex]\frac{40\sqrt{40^{2}-4(8)(-1200) } }{2(8)}[/tex]

x= 15 and x= -10

As year can not be negative, hence correct answer is

D: year 15!

Answer:

[tex]\large\boxed{h=\dfrac{3V}{\pi r^2}}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a cone:}\ V=\dfrac{1}{3}\pi r^2h.\\\\\text{Solve for}\ h:\\\\\dfrac{1}{3}\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=\dfrac{3V}{\pi r^2}[/tex]

Answer:

B and C cannot be points on the unit circle

Step-by-step explanation:

This like asking which of the points does not satisfy x^2+y^2=1.

Let's look at (-2/3 , sqrt(5)/3)

x=-2/3

y=sqrt(5)/3

We have x^2=4/9 while y^2=5/9, and x^2+y^2=4/9+5/9=9/9=1.

This first one looks great and is on the unit circle.

Let's look at (sqrt(3)/2 , 1/3)

x=sqrt(3)/2

y=1/3

We have x^2=3/4 and y^2=1/9 , and x^2+y^2=3/4+1/9=31/36 (this is not 1).

This point is not on the unit circle.

Let's look at (1,1)

x=1

y=1

We have x^2=1 and y^2=1, and x^2+y^2=1+1=2 (this is not 1).

This point is not on the unit circle.

Let's look at (0.8,-0.6)

x=0.8

y=-0.6

We have x^2=.64 and y^2=.36, and x^2+y^2=.64+.36=1

This point is on the unit circle.

Answer:

B and C

Step-by-step explanation:

FreckledSpots is correct.

Answer:

C. She paid $30 for the table.

Step-by-step explanation:

y = 35x+ 30

This is in slope intercept form

y =mx+b

where m is the slope, which tells us the change

and b is the y intercept, which tells us how much the initial value was (when x=0)

Since x is the number of chairs, and letting x=0

y= 0 chairs +30

Since y= cost of the chairs and the table

y= 30, which is the cost of the table since we bought 0 chairs

Answer:

Increasing on it's domain [tex](-\infty,\infty)[/tex] because the slope is positive.

The domain and range are both all real numbers, also known as

[tex](-\infty,\infty)[/tex].

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is [tex](-\infty,\infty)[/tex].

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing.  I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever.  The range is all real numbers. In interval notation that is [tex](-\infty,\infty)[/tex].

Answer:

sometimes HAVE A NICE DAY

Step-by-step explanation:

A plane in geometry extends infinitely in all directions and can contain an infinite number of points. It takes at least three non-collinear points to define a plane, but a plane is never limited to just those three points. Thus, the statement that a plane contains only three points is never true.

When the question asks if a plane contains only three points always, sometimes, or never, it refers to the concept in geometry where a plane is a flat, two-dimensional surface that extends infinitely in all directions.

In geometrical terms, a plane can contain an infinite number of points. However, it is often said in geometry that it takes a minimum of three non-collinear points to define a plane. This means that while a plane can be uniquely determined by three non-collinear points, the phrase 'a plane contains only three points' is never true because a plane can contain an infinite number of points, not just three. When three points do determine a plane, they can be considered as forming a triangle on that plane, with each point corresponding to a vertex of the triangle.

Answer:

C. Amplitude = 3 feet; period = 8 hours; midline: y = 4

Step-by-step explanation:

The midline is halfway between the lowest point and the highest point.

y = (1 + 7) / 2

y = 4

The period is the time it takes for a full cycle.  So the period is 8 hours.

The amplitude is the distance from the midline to the lowest or highest point.

a = 4 − 1 = 3, or a = 7 − 4 = 3

It's also half the distance between the lowest and highest points.

a = (7 − 1) / 2

a = 3

Answer:

B. Amplitude= 6 feet; period = 4 hours; midline: y =3

Step-by-step explanation:

If the Bay is 1 foot and 7 feet, and the tide is at its lowest at 0 and completes a full cycle every 8 hours. If every 8 hours is a new cycle the divide that by 2 to get the midline of 4 because for is the half way point for the full 8 hours

Hope this helped! :3

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

Statement 1: The y-intercept is -1

Point (3/8, 1/2)

Slope = m = 4

y = mx + c

1/2 = 4(3/8) + c

1/2 = 3/2 + c

1/2 = 3/2 + 2c/2

-2 = 2c

c = -1

This statement is true as the y-intercept is -1.

Statement 2: The slope intercept equation is y= 4x - 1

slope = m = 4

y-intercept = c = -1

y = mx + c

y = 4x - 1

This statement is true as the slope intercept equation is y= 4x -1

Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)

Point slope equation: y - y1 = m (x - x1)

Points: (x, y) (3/8, 1/2)

y1 = 1/2

x1 = 3/8

Slope = m = 4

y - 1/2 = 4 (x - 3/8)

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

!!

Answer:

Option A) 121.73

Step-by-step explanation:

The given scenario can be represented by a Triangle ABC attached in the image below.

We have 3 sides of the triangle ABC, using the measure of these sides we can find the angle opposite to side c which will help us in finding the measure of bearing.

Law of cosine relates the 3 sides of the triangle and angle opposite to one side by following equation:

[tex]c^{2}=a^{2}+b^{2}-2abcos(C)[/tex]

Using the values of a,b, and c we get:

[tex]230^{2}=200^{2}+260^{2}-2(200)(260)cos(C)\\\\2(200)(260)cos(C)=200^{2}+260^{2}-230^{2}\\\\ cos(C)=\frac{200^{2}+260^{2}-230^{2}}{2(200)(260)}\\\\ cos(C)=\frac{547}{1040}\\\\ C=cos^{-1}(\frac{547}{1040})\\\\ C=58.267[/tex]

Thus, the measure of angle C comes out to be 58.267 degrees. The angle with which the boat will have to turn will be:

180 - 58.267 = 121.733 degrees.

Therefore, option A is the correct answer

Answer:

A.) 121.73

Step-by-step explanation:

I got it correct on founders edtell

Answer:

Positive; more fruit bars are sold as the temperature rises;

Two bars for every 1 °F  

Step-by-step explanation:

I plotted a scatter chart in Excel and asked it to draw the regression line and include the equation for the line of best fit

The graph has a positive slope, so a positive correlation exists between the temperature and the number of fruit bars sold.

The real-world meaning of the positive slope of the line of best fit is that more fruit bars are sold as the temperature rises.

The equation for the line of best fit is

y = 2.1855x - 101.02

There are approximately two more fruit bars sold for every 1 °F the temperature rises.

Answer:

1--positive

2--2.2

3--1

Step-by-step explanation:

ed

Answer: C. [tex]126\pi \text{units}^2[/tex]

Step-by-step explanation:

The surface area of right cylinder is given by :-

[tex]S.A.=2\pi r(r+h)[/tex]

Given : Height : h=2 units

Radius : r= 7 units

The the surface area of the given right cylinder will be :-

[tex]S.A.=2(\pi) (7)(2+7)\ \ \ \text{Put }\pi=3.14[/tex]

i.e. [tex]S.A.=126\pi \text{units}^2[/tex]

Hence, the surface area of the right cylinder = [tex]126\pi \text{units}^2[/tex]

Answer:

C

Step-by-step explanation:

For this case we must find the domain of the following function:

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

By definition, the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is equal to zero, that is:

[tex]x-3 = 0\\x = 3[/tex]

Thus, the domain of the function is given by all real numbers except 3.

Answer:

x other than 3

Answer:

[tex]18\sqrt{2}[/tex]

Step-by-step explanation:

We need to simplify the following expression: [tex]2\sqrt{18} + 3\sqrt{2} + \sqrt{162}[/tex]

Then:

[tex]6\sqrt{2} + 3\sqrt{2} + 9\sqrt{2}[/tex]

[tex]18\sqrt{2}[/tex]

Therefore, the result is: [tex]18\sqrt{2}[/tex]

Answer:

6.

Step-by-step explanation:

We have that the regular hexagon has 6 reflection axis that after the reflection the hexagon doesn't change its position. 3 axis are in the vertex that cuts the hexagon in two equal parts and the other 3 in the middle point of each side that also cuts the hexagon in two equal parts.

For this case we must simplify the following expression:

[tex]-3 (x + 3) ^ 2-3 + 3x[/tex]

We solve the parenthesis:

[tex]-3 (x ^ 2 + 2 (x) (3) + 3 ^ 2) -3 + 3x =\\-3 (x ^ 2 + 6x + 9) -3 + 3x =[/tex]

We apply distributive property to the terms within parentheses:

[tex]-3x ^ 2-18x-27-3 + 3x =[/tex]

We add similar terms:

[tex]-3x ^ 2-18x + 3x-27-3 =\\-3x ^ 2-15x-30[/tex]

Answer:

[tex]-3x ^ 2-15x-30[/tex]

Answer: [tex]-3x^2-15x-30[/tex]

Step-by-step explanation:

We need to remember that [tex](a\±b)^2=a^2\±2ab+b^2[/tex]

Knowing this, we can simplify  the expression:

[tex]-3(x + 3)^2 - 3 + 3x=-3[x^2+2(x)(3)+3^2]-3+3x=-3[x^2+6x+9]-3+3x[/tex]

Apply Distributive property:

[tex]=-3x^2-18x-27-3+3x[/tex]

Add like like terms:

[tex]=-3x^2-15x-30[/tex]

Since it has the form [tex]ax^2+bx+c[/tex], it is already expressed in Standad form.

Answer:

6

Step-by-step explanation:

Answer:

8 dogs

Step-by-step explanation:

1.  Divide.

40/5 = 8

2. Answer.

x = 8

To calculate the mileage, you divide the total miles driven (973.50 miles in this case) by the total gallons used (29.5 gallons in this case). Doing so would give you how far the motorcyclist can travel on a single gallon of gasoline, which is the mileage in miles per gallon.

To calculate the mileage in miles per gallon (mpg) of a motorcyclist, we need to divide the total amount of miles driven by the total amount of gallons used. In this case, the motorcyclist has ridden 973.50 miles and used 29.5 gallons.

So, the formula would be: Mileage = Total Miles / Total Gallons

Applying the values from the question to the formula gives: Mileage = 973.50 miles / 29.5 gallons

This would provide you with your miles per gallon, indicating how far the motorcyclist can travel on a single gallon of gasoline.

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the motorcyclist got an average of 33 miles per gallon on their trip.

To calculate the mileage in miles per gallon for the motorcyclist who rode 973.50 miles using 29.5 gallons of gasoline, you divide the total miles traveled by the gallons of gas used:

Therefore, the motorcyclist got an average of 33 miles per gallon on their trip.

To make each radio cost half its Monday price, the store would need to reduce the Tuesday price by 37.5% on Wednesday.

The store initially reduced its prices by 20% on Tuesday, meaning the radios now cost 80% of their original Monday price. If the goal is for the radios to cost half of their Monday price, we need to figure out what percentage of the Tuesday price will get us there. Since half of the Monday price would be 50%, and we know the price on Tuesday is 80% of the original, we'll divide 50 by 80 to find our answer. This yields 0.625, which as a percentage is 62.5%.

Therefore, the store would need to reduce the Tuesday price by 100% - 62.5% = 37.5% on Wednesday to make each radio cost half its Monday price.

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Answer:

q = -13

Step-by-step explanation:

The given equation is:

[tex]2x^{2}-8x=5[/tex]

Taking 2 as common from left hand side, we get:

[tex]2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5[/tex]

The square of difference is written as:

[tex](a-b)^{2}=a^2 - 2ab + b^{2}[/tex]                            Equation 1

If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.

[tex]2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0[/tex]

Comparing the above equation with the given equation:

[tex]2(x-p)^{2}+q=0[/tex], we can say:

p = 2 and q= -13

Answer:

Her income increase by 27.5% from 2004 to 2007

Step-by-step explanation:

Step 1 : Kieya's income in 2004 was $40,000

Step 2 : Kieya's income in 2007 was $51,000

Step 3 : Calculate difference in $

Income in 2007 - Income in 2004 = Increase (+ve) or decrease (-ve) in income

51000 - 40000 = 11000 increase in income

Step 4 : Calculate difference in terms of percentage

Income of 2007-Income of 2004  x 100

          Income of 2004

51000-40000 x 100

    40000

= 0.275 x 100

= 27.5 %

!!

Option A. 11,000 :)

hope this helps!

Answer:

a) increases b) decreases

Step-by-step explanation:

Typically, descriptions of trends are indicated as the change of the dependent (y) variable with respect to the increase of the independent (x) variable. In this case, age is the x variable and hours of sleep is the y variable.

Answer:

The data shown on the scatter plot below demonstrates the relationship between a young boy’s age (in months) and the average number of hours that he sleeps each night.

Step-by-step explanation:

The slope of the best fit line shows that as the boy’s age  

increases

the average number of hours that he sleeps each night  

decreases

.

Answer:

C) Lateral Area

Step-by-step explanation:

A) Base Area

The formula for base area of of a cylinder is pir^2.

B) Aread

The formula for surface area or area of a cylinder is 2pirh x 2pir^2 = 2pir (h + r)

C) Lateral Area

The formula for lateral area of a cylinder is 2pirh

D) Volume

The formula for volume of a cylinder is base area x h or pir^2h

!!

Answer:

C. Lateral area.

Step-by-step explanation:

We have been given that a right cylinder where h is the height and r is the radius. We are asked to determine the meaning of our given expression [tex]2\pi rh[/tex].

We know that lateral surface area of cylinder is equal to the circumference of base of cylinder times the height of the cylinder.

We know that base of cylinder is circular and circumference of circle is [tex]2\pi r[/tex], therefore, the expression [tex]2\pi rh[/tex] represents lateral area of cylinder.

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, so

y = 2x + c ← is the partial equation

To find c substitute (- 2, 3 ) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = 2x + 7 ← equation of line

Step-by-step explanation:

I have answered ur question