Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits.

Answer:

-------------------------

Given:

Find the invested amount P using compound interest equation:

Substitute to get:

For 10 cups of Purple Paint there are 7.5 cups of White paint.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The cups of purple paint is proportional to cups of white paint.

Then, the ratio is

Purple / White = 4/3

So, when Purple paint is 10 then the white paint will be

= 10 x 3/4

=  30/4

= 7.5

Learn more about Ratio here:

https://brainly.com/question/29774220

#SPJ1

Answer:2

Step-by-step explanation:

She has 2

9 - 5 = 4

no more to give so only 2

Answer:The degree measure of the second largest angle is 12, which is the second term in the ratio. The second largest angle is therefore 12/40 * 360 = <<12/40*360=108>>108 degrees.

Step-by-step explanation:The degree measures of the three angles of the triangle are in the ratio 7:12:21, so the sum of the measures of the three angles is 7 + 12 + 21 = <<7+12+21=40>>40.

The degree measure of the second largest angle is 12, which is the second term in the ratio. The second largest angle is therefore 12/40 * 360 = <<12/40*360=108>>108 degrees.

The number of people who will be contacted in the fifth round is 4^5, or 1024.

What is arithmetic calculation?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. The basic operations of math are addition, subtraction, multiplication, and division. These operations are denoted by the given symbols.

If one person contacts four people in the first round, and each of those people contacts four more people in the second round,

then the total number of people contacted in the second round is 4 * 4 = 16.

In the third round, each of those 16 people would contact 4 more people each, for a total of 16 * 4 = 64 people contacted.

In the fourth round, each of those 64 people would contact 4 more people each, for a total of 64 * 4 = 256 people contacted.

In the fifth round, each of those 256 people would contact 4 more people each, for a total of 256 * 4 = 1024 people contacted.

Hence, The number of people who will be contacted in the fifth round is 4^5, or 1024.

To learn more about arithmetic calculation visit,

https://brainly.com/question/13181427

#SPJ1

When the rate of change of AB is -1/5, and line CD is 5 then line AD will be -1

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values, otherwise known as the rate of change.

In the figure, the rate of change is given to be -1/5 and by definition rate of change which is the slope has the formula

m = change of the output values / change in the input values

m = AC / CD

-1/5 = AC / 5

hence AC = -1

Learn more about slope of linear functions at:

https://brainly.com/question/20277632

#SPJ1

The best evidence to show which class has had greater success on field day over the last 10 years based on the data in the box plots would be Mrs. cai's class was more successful because her interquartile range was less spread out.

To determine this

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. A smaller IQR indicates that the data is more concentrated or less spread out, while a larger IQR indicates that the data is more spread out. If Mrs Cai's class has a smaller IQR, it suggests that the scores for that class are more consistent and less variable compared to the scores for Mr Roland's class. This could be a good indication that Mrs Cai's class has had greater success on field day over the last 10 years.

To learn more about the interquartile range (IQR), visit:

brainly.com/question/15616988

#SPJ4

If you are trying to find the value of a particular variable, z, you will need to first look at the equation or expression in which it is used. Once you have identified the equation or expression, you need to solve for z by substituting the known values and manipulating the equation until you arrive at the solution.

1. Identify the equation or expression in which the variable, z, is used.

2. Substitute the known values into the equation and manipulate the equation until you arrive at the solution for z.

3. Solve for z by applying the appropriate operations and rules of algebra.

4. Check your answer to make sure it is correct.

If you are trying to find the value of a particular variable, z, you will need to first look at the equation or expression in which it is used. Once you have identified the equation or expression, you need to solve for z by substituting the known values and manipulating the equation until you arrive at the solution.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer: help is on the way

Step-by-step explanation:

Answer:

29 2/3 ft

Step-by-step explanation:

The perimeter is found using the formula

P = 2 ( l+w)

 where l is the length and w is the width

P = 2(8 1/6 + 6 2/3)

Getting a common denominator

P = 2 ( 8 1/6 + 6 4/6)

  = 2 ( 14 5/6)

  = 28 10/6

Changing the improper fraction to a mixed number

  = 28 + 1 4/6

Simplifying

  = 29 2/3 ft

Answer: 2

Step-by-step explanation:

Whatever point the line crosses when crossing the Y axis is the y-intercept.

In this graph it is crossing over 2

The points on the ellipse that lie closest to the origin is (0, 1, 0).

f(x)=x²+y²+z²

h(x)=x²+y²=1

g(x)=x+y+z=1

⟨2x,2y,2z⟩=λ⟨2x,2y,0⟩+μ⟨1,1,1⟩

This results in the equations:

2x = 2xλ +μ

2y = 2yλ + μ

2z = μ

By taking λ = 1

2x = 2x + μ

μ = 0  so z = 0

x + y = 1

y=1 and x=0

The Lagrange multiplier method in mathematics is a technique for locating the local maxima and minima of a function subject to equality restrictions (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables). [1] It bears the name Joseph-Louis Lagrange after the mathematician.

The fundamental concept is to transform a limited problem into a format that still allows the derivative test of an unconstrained problem to be used. The Lagrangian function is a reformulation of the original issue that results from the relationship between the gradient of the function and gradients of the constraints.

To learn about Lagrange :

https://brainly.com/question/17227640

#SPJ4

The equation given in B which is  "5 + 2 ( 3 + 2x ) = x + 3 ( x + 1 )" has no solution.

In order to determine which equation has no solution we need to solve the equation to check to see if after solving they give the left-hand side (LHS) and right-hand side (RHS) equal.

If both LHS and RHS are equal, it means the equation has a solution; but if LHS and RHS are not equal, it means that the equation has no solution.

So first solve the equation given in A:

4 ( x + 3 ) + 2x = 6 ( x +  2 )

4 x + 12 + 2 x = 6x + 12

6 x  + 12 =  6 x + 12

LHS is equal to RHS so this equation has the solution.

So now solve the equation given in B:

5 + 2 ( 3 + 2x ) = x + 3 ( x + 1 )

5  + 6 + 4 x = x + 3 x + 3

11  + 4 x =  4 x + 3

or

(4 x + 11) = (4 x + 3)

LHS is not 'equal' to RHS so this equation has no solution.

"

Complete question is

Which equation has no solution

A: 4 ( x + 3 ) + 2x = 6 ( x +  2 )

B:  5 + 2 ( 3 + 2x ) = x + 3 ( x + 1 )

"

You can learn more about equation with no solution at

https://brainly.com/question/1792644

#SPJ4

The area of the shape in the polynomial form will be 10x² + 54x.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The area of the shape will be the sum of the two triangles and two rectangles. Then we have

A(x) = (1/2)(10x - 8x)(x + 4) + (8x)(x + 4) + (x + 13 - x - 4)(2x) + (1/2)(2x)(x)

A(x) = x² + 4x + 8x² + 32x + 18x + x²

A(x) = 10x² + 54x

The area of the shape in the polynomial form will be 10x² + 54x.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ1

Answer: (-5, -5)

Step-by-step explanation:

Left and right is 'x'

Up and down is 'y'

Looking on a standard graph, left and down are negative, right and up is positive.

left 9 is -9, down 1 is -1

The solution indicates that Emily can use the unitary method to accommodate 15 pairs of shoes in 18 square feet.

Finding the value of a single unit and multiplying it by the number of units is how the unitary technique calculates the required value.

The unitary method is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value.

Given,

12 pair of shoes require 10 sq feet

1 pair of shoes will require 10/12=0.83 sq feet

number of shoes she can fit in 18 sq feet= 18x0.83 = 15 shoes

To know more about unitary method visit:-

brainly.com/question/28276953

#SPJ1

Answer:

6 roses

Step-by-step explanation:

divide 21 and 3.50 hope this helps:)

Answer:6

Step-by-step explanation:

21 Divided by 3.5 = 6

Answer:

886.461538462

Step-by-step explanation:

Answer:

yes it is true

Step-by-step explanation:

3(2)-(-1)=7 2(2)+3(-1)=1

The correct single logarithm expression will be;

⇒ log x⁴ / (x - 3)²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4 log x - 2 log (x - 3)

Now,

Since, The expression is,

⇒ 4 log x - 2 log (x - 3)

Simplify by the properties of logarithmic as;

⇒ log x⁴ - log (x - 3)²

⇒ log x⁴ / (x - 3)²

Thus, The value of single logarithm is,

⇒ log x⁴ / (x - 3)²

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Slope of 3y-9x=9 is 3

Slope of x+3y=-6 is -1/3

Step-by-step explanation:

First, convert each of the two equations into the form y = mx + c.

Next, to determine the slope of the graph, find the value of m (m represents the gradient of the graphs)

Equation 3y - 9x = 9:  

Rewrite equation: 3y = 9x + 9

                                 y = 3x + 3

                                 m = 3

                                 gradient/slope = 3

Equation x + 3y = -6:  

Rewrite equation: 3y = - x - 6

                                 y = -1/3x - 2

                                 m = -1/3

                                  gradient/slope = -1/3

Answer:

Multiply instead of divide

Step-by-step explanation

39/40=0.975  (Correct)

0.975x100=97.5%

If it were me I would just move the decimal point in 0.975 right twice, but since they're asking for a formula you would multiply instead of divide.

Hope this helps :)

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

An equation is an expression that shows the relationship between two or more numbers.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the initial value (y intercept).

Let y represent the total amount of money that River Run Canoes Charges for a trip lasting x hours.

River Run Canoes Charges an initial fee of $10 plus $10 per hour, hence:

y = 10x + 10

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The scale factor of the smaller figure to the larger figure is 5:2

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given that two triangles are similar.

The side lengths of the triangle must be proportional.

Let us consider first triangle as ABC, where AB is 35, BC is 40 and AC is 25.

and triangle DEF as DE is 14 and EF is 16.

Now AB/DE=BC/EF

35/14=40/16

5/2=5/2

Hence, the scale factor of the smaller figure to the larger figure is 5:2

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

The number of solutions which the equation y = -2x² -7x + 5 has as required in the task content is; 2.

As evident in the task content; the number of solutions which the given equation has is to be determined.

Since the given equation; y = -2x² -7x + 5 is a quadratic equation.

It follows that the number of solutions which the equation has is two.

PS; Quadratic equations are polynomials with degree 2 and hence, have two solutions.

Read more on quadratic equations;

https://brainly.com/question/24546586

#SPJ1

Answer:

b) 0.27

c) 0.18

d) 0.21

e) c has the lowest rate per container

Answer:  x-3y=-12

Step-by-step

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Answer:

If x is a real number

Step-by-step explanation:

If there is a horizontal asymptote, say y=p, then set the rational function equal to p and solve for x. If x is a real number, then the line crosses the horizontal asymptote at (x,p).

McCandless’s original plan was to hike westward to the Bering Sea, but he sheltered in an abandoned bus on the little-traveled trail. He lived by killing small animals (and one moose) and gathering roots and berries.

On April 25, 1992, McCandless hitchhiked through Canada to get to Fairbanks via the Alaska Highway. Three days later, he found another ride to the Stampede Trail in the southwest.

McCandless was only carrying around 10 pounds (4.5 kg) of rice and a few books, which the driver believed was inadequate for a lengthy stay in the jungle.

In addition, his 0.22 rifles were usually regarded as lacking enough power for big-game hunting or bear defense, and he lacked a reliable map.

Thus, McCandless’s original plan was to hike westward to the Bering Sea, but he sheltered in an abandoned bus on the little-traveled trail. He lived by killing small animals (and one moose) and gathering roots and berries.

To know more about McCandless visit: brainly.com/question/7639778

#SPJ4

As per the theory, McCandless's Original plan was  to hike westward to the Bering Sea, but he ended up sheltering in an abandoned bus on the little-traveled trail.

According to the theory called "Into the wild", here his graduation ceremony in May 1990, the person called McCandless told his parents he was going to take a road trip during the summer, and he was also saying that "I think I'm going to disappear for a while."

At the time his parents realized that they had no way of contacting him, then here some three months later, where their son had disappeared and unbeknownst to them, then he had chosen a new name that is Alexander Supertramp.

To know more about Ceremony here.

https://brainly.com/question/29357357

#SPJ4

On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

To know more about proportionality visit:

brainly.com/question/8598338

#SPJ1