The Nutty Professor sells cashews for $7.20 per pound and Brazil nuts for $4.10 per pound. How much of each type should be used to make a 32 pound mixture that sells for $5.75 per pound?

Answer:

25 child tickets and 50 adult tickets

Step-by-step explanation:

Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:

6.00c + 9.60a = 630.00

a = 2c

Substitute 2c for a in the top equation:

6.00c + 9.60(2c) = 630.00

6.00c + 19.20c = 630.00

25.20c = 630.00

c = 25, a = 50

Answer: THE ANSWER TO THAT IS B

Step-by-step explanation:

Answer:

6887

Step-by-step explanation:

given

x + [tex]\frac{1}{x}[/tex] = 83 ( square both sides )

(x + [tex]\frac{1}{x}[/tex] )² = 83² = 6889 ← expand factor on left using FOIL

x² + 2( x × [tex]\frac{1}{x}[/tex] ) + [tex]\frac{1}{x^2}[/tex] = 6889

x² + 2(1) + [tex]\frac{1}{x^2}[/tex] = 6889 ( subtract 2 from both sides )

x² + [tex]\frac{1}{x^2}[/tex] = 6887

When the function f is transformed to g, the equation is g(x) = 2x + 14 - 1

The equation of function f is given as

f(x) = 2x - 1

The transformation is given as

Horizontal shift of 7 units left.

The above transformation rule can be represented as

Horizontal shift of 7 units left.: (x, y) = (x + 7, y)

When the above rule is applied, we have the following equation

g(x) = f(x + 7)

So, we have

g(x) = 2(x + 7) - 1

Open the brackets

g(x) = 2x + 14 - 1

Hence, the equation of function g is g(x) = 2x + 14 - 1

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EXPLANATION

Given two points of a line, we can find the the equation of that line using the steps below:

• Step 1

Determine the slope of the line, using the formula below:

The points given are (-4, 1) and (5, -3). This implies that the coordinates are

x₁= -4 y₁=1 x₂=5 y₂=-3

Substitute the values into the formula and simplify.

• Step 2

Determine the y-intercept(b) of the line.

Substitute x₁= -4 y₁=1 and m=-4/9 into y=mx + b and solve for intercept(b).

1 = (-4/9)(-4) + b

Subtract 16/9 from both-side of the equation.

The intercept (b) = -7/9

• Step 3

Form the equation by substituting the value of the slope and intercept into y=mx + b.

Hence, the equation of the line is:

When we translate an object up, the values of x remain the same, but the values of y change by a positive value.

The total number of the pages in the star war book which Ms. Vega is reading is 40.

Let the number of pages = X

percentage of read pages = 20%

Number of read pages by her = 8

to find the total number in star war book

20% of X  = 8

20/100 x X = 8

X = (8 x 100)/ 20

X = 4 X 10

X = 40  

Total number of pages in star war book is 40.

The question is incomplete the complete question is

Ms. Vega read  20% 8of the Star Wars book. She read  8 pages of the book. Write pages in the Star Wars book.

The total number of the pages in the star war book which Ms. Vega is reading  is 40.

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ANSWER

EXPLANATION

To find the surface area of the hemisphere, we apply the formula for the surface area of a hemisphere (without a base):

where r = radius = 7 ft

Therefore, the surface area of the hemisphere is:

To find the volume of the hemisphere, we apply the formula for the volume of a hemisphere:

Therefore, the volume of the hemisphere is:

Given : Initial deposit or the principal amount = $ 9000

Rate of interest = 3.1 %

Compound interest annually

= principal (1 + r/ 100)^t

here put value principal rate and time period 1, 5 10 and 20 years

and we get the  amount for each time period        

than for interest = amount - principal we get interest    

as that we calculate all value:

given in the attachment

When interest on a balance in a savings or investment account is reinvested, you receive compound interest, which results in higher interest payments. Money makes money, a wise man once said. And money makes money by making more money. Compound interest speeds up the long-term growth of your savings and investments.

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Joanne deposits $4,300 into a l-year CD at a rate of 2.3%, compounded daily.

a. What is her ending balance after the year, to the nearest cent?

b. How much interest does she earn, to the nearest cent?

c. What is her annual percentage yield to the nearest hundredth

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,300

t=1 year

r=2.3%=2.3/100=0.023

n=365

Part a

Find out the value of A

substitute the given values in the formula

A=$4,400.04

Part b

I=A-P

I=4,400.04-4,300

I=$100.04

Part c

we have

4,300 -----> represent 100%

so

Applying proportion

Find out how much percentage is 4,400.04

100/4,300=x/4,400.04

x=(100/4,300)*4,400.04

x=102.33%

therefore

102.33-100=2.33%

Solution

find the slope of the line that goes through the given points (-2,-4) (1/4,5)

Therefore the slope of the line = 4

Answer:

5

Step-by-step explanation:

according to my own understanding since her flag to the drawing is 20. each colour is 4,then u divide 20 by 4. The answer is 5

Zach began at 0.2 for the price of one piece of gum on the number line. Has moved eight times. The whole price is $1.60.

Since each hash mark is worth.2, moving eight times will result in 1.6, or eight times $0.20.

This is further explained below.

Generally, A number line is a depiction of a graded straight line that is used to represent real numbers visually.

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line.

How the number on the line may be answered depends on the numbers present. How a number is utilized depends on the issue it is associated with, such as when graphing a point

In conclusion, On the number line, Zach started at 0.2, which was equal to the cost of one piece of gum. Has relocated a total of eight times. The whole cost is a dollar and sixty cents.

Moving eight times will result in 1.6, which is equal to eight times $0.20, given that each hash mark is worth.2.

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From the given probability distribution, it is found that:

a) Yes. The events are distinct and the probabilities sum to 1.

b) The histogram is given at the end of the answer.

c) The mean is of 32.1.

d) The standard deviation is of 16.02.

Using the midpoint rule, the distribution is given as follows:

The outcomes are distinct, and their sum is of:

0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.

Hence it represents a probability distribution.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1

The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:

S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.

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Answer:

x =2 y = -3

Step-by-step explanation:

hope it helps!!!!!

Considering the expression of a line, the statements:

about the line that passes through (-2, 0) and (2, -4) are true.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Being (x₁, y₁)= (-2, 0) and (x₂, y₂)= (2, -4), the slope m can be calculated as:

m= (-4 - 0)÷(2 - (-2))

m= (-4)÷ 4

m= -1

Considering point 1 and the slope m, you obtain:

0= -1×(-2) + b

0= 2 +b

-2= b

Finally, the equation of the line that passes through the pair of points (-2,0) and (2,-4) is y= -x -2, wich has a slope of -1. The line intersects the x-axis at (−2, 0).

If x=0, you get:

0= -x -2

2= -x

2÷ (-1)=x

-2= x

Finally, the line line intersects the y-axis at (0, −2).

Your question was incomplete. Please check below the full content.

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

A. The slope of the line is 1.

B. The line intersects the y-axis at (0, −2).

C. The equation of the line is y = −x − 2.

D. The line intersects the x-axis at (−2, 0).

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The fact that a connection is proportional if its graph is a line that runs through its origin should be stressed. This can be used to find the ratio in the proportional relationship.

When the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not proportional. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.

If the graph of a relationship is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.

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Answer:

2:5

Step-by-step explanation:

6:15= 2:5

We need to find the values of "x" and "y" from two triangles that are congruent. If the triangles are congruent it means that the corresponding angles are equal. This means that angle R and angle N are the same, and from the angle sum theorem w know that the interior angles of triangle QPR sum 180, that is mathematically:

Since angle N is 3x+y, we replace that in the equation:

Simplifying we get:

That gives us equation (1), but we need another equation since we have two variables. The other equation we get it from angles L and P, since this two angles must be equal. So we get the following equation:

Solving for "x", we get:

The value of "x" is 7. Now we input this value in equation (1), like this:

Solving for "y", we get:

therefore, the value of "y" is 30.

The table containing the values of the inverse function is given at the end of the answer.

A function will have a set of points (x,y). In the inverse function, the values of x and y are exchanged with each other, hence the rule is:

(x,y) -> (y,x).

Hence, the points are found as follows:

The table containing these values is given at the end of the answer.

The tables are missing, and are given at the end of the answer.

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The number of iPhones that should be sold in 2017 (since growth is exponential) is $ 6,476,635 x 10⁶. See the explanation below.

Exponential growth is a data pattern that exhibits greater increases with time. Compounding produces exponential profits in finance. Compounding interest savings accounts may provide exponential growth.

The calculation for the above solution is as follows:

Recall that the formula for exponential growth is:

f(x) = a (1+r)ˣ

Where:

f(x) = exponential growth function

a = initial amount

r = growth rate

{x} = number of time intervals

Hence f(x) = 1.7 (1+ r)⁵

Note that x = 2017-2012 =5

r = (present value - past value)/ past value

Present value = 35.2

Past Value = 1.7

Hence r = (35.2-1.7)/1.7

r = 19.7058823529

Approximately 19.71

Hence,

f(x) = 1.7 (1+ 19.71)⁵

= 1.7 (20.71)⁵

= 1.7 x 3809785.2361

= 6476634.90137

Which is approximately = 6,476,635

Recall that our computation was done in millions hence the answer if left in standard notation is:

Increase in 2017 = $ 6,476,635 x 10⁶

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Answer:

50

Step-by-step explanation:

csehufe;whweih/a=r+9+9
_(&*%^&*&^%^&*765678987654567890(*&*()_)(*()_(*()_+=9

If the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .

In the question ,

From the figure given below , we can see that the coordinates of the rectangle are (4,2) , (4,4) , (-2,2) , (-2,4)  .

let us name the coordinates of the rectangle  as A(4,2) , B(4,4) , C(-2,4) , D(-2,2)  .

and to dilate the rectangle by a scale factor of 1.5 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor

so the rule to describe the dilation will be

(x,y)→(1.5x,1.5y)

Using this rule to find the new coordinates of the rectangle A'B'C'D'  .

When A = (4,2)

A' = (1.5*4,1.5*2)

A' = (6,3)

When B = (4,4)

B' = (15*4,1.5*4)

B' = (6,6)

When C = (-2,4)

C' = (1.5*(-2),1.5*4)

C' = (-3,6)

When D = (-2,2)

D'  = (1.5*(-2),1.5*2)

D' = (-3,3)

So the coordinates of the rectangle A'B'C'D' is A' = (6,3) , B' = (6,6) , C' = (-3,6) , D' = (-3,3) .

the new resulting rectangle is drawn below

Therefore , if the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .

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Let's begin by listing out the information given to us:

(x, y) = (-2, -3), (5, 7)

The distance between the two points is given by:

To find 5π/4 as terminal point, we will take the angle as 5π/4

The first coordinate is the x coordinate = cos θ

The second coordinate is the y coordinate = sin θ

Hence, the terminal of 5π/4:

Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.

We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

So the point (x, y) becomes (y, -x)

So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

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The area in square units of the hexagon will be 12√3.

What is Hexagon?

A polygon with six sides are called a hexagon.

Given that;

Jennifer makes a hexagon by arranging 6 equilateral triangles.

The length of one side of a triangle is 4.

Now, To find the area of hexagon, we find the height of the equilateral triangle and then multiply by the 6.

So, In ΔABC;

AB = BC = CA = 4

Then, Measure of DC = BD = 2

Now, using Pythagoras theorem to find height of triangle (AD) as;

AD² = AC² - DC²

AD² = 4² - 2²

AD² = 16 - 4

AD² = 12

Take square root both side;

AD = √12

AD = 2√3

So, The area of hexagon = 6 × Height of triangle

                                      = 6 × 2√3

                                      = 12√3

Thus, The area in square units of the hexagon will be 12√3.

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Answer: 2x + 8

Step-by-step explanation:

( 6x + 2 ) - ( 4x - 6 ) =

6x - 4x = 2x

2 - -6 = 8

Answer:

-5/4

Step-by-step explanation:

debemos de usar la ecuacion dy/dx