Jace made nectar for bees by mixing 3 cups of sugar and 8 cups of water. He wants to make a larger batch. Write two more recipes that have an equivalent ratio of sugar and water.

Answer:

a

Step-by-step explanation:

The expression which correctly represents the perimeter of a yard whose length and width are as given is; P = (10x + 6) / (2x + 1).

It follows from the task content that the perimeter of a yard whose length and width are as given is to be determined.

Recall that the perimeter of a rectangle is given by the formula;

Perimeter = 2 ( length + width )

Therefore, Perimeter, P is ;

P = 2 ( 4⁢x+6 / 2⁢x+1 + x−3 / 2⁢x+1 )

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

P = (10x + 6) / (2x + 1)

Ultimately, the required perimeter of the yard is; P = (10x + 6) / (2x + 1).

Read more on Perimeter of a rectangle;

https://brainly.com/question/17297081

#SPJ1

Equation: x³-4x² - 5x = 0 and value of x =  0, 5, - 1. This can be solved the concept of factorization.

The breaking or breakdown of an entity (such as an integer, a matrix, or even a polynomial) into such a combination of some other unit, or factors, whose multiplication yields the original number, matrix, etc., is known as factorization or factoring in mathematics.

Similarly to this, factoring is a very useful technique in algebra that is utilized at all levels. Additionally, to, of course, simplify complex expressions, it offers a standard way for solving quadratic equations. Graphing functions also makes advantage of it.

Factor the expression, put each factor equal to 0, and then solve each equation to solve a quadratic equation by factoring. To do this, rearrange all terms on one side of the equation such the other side equals 0.

x³-4x² - 5x = 0

or, x (x² - 4x - 5) = 0

or, x (x² -5x +x - 5) = 0

or, x [x (x - 5) + 1 (x - 5)] = 0

or, x (x - 5) (x + 1) = 0

thus, value of x = 0, 5, - 1.

To know more about factorization refer to:

brainly.com/question/25829061

#SPJ1

Answer:

A. [tex]x<-4[/tex]

Step-by-step explanation:

[tex]-2x-8>3x+12 \\ \\ -5x-8>12 \\ \\ -5x>20 \\ \\ x<-4[/tex]

The fraction of the total amount of ingredients is neither fruit nor yogurt is given as follows:

0.

The fraction is used applying the proportions in the context of this problem, which represent a fraction of a total amount.

The total fraction of all the ingredients is given as follows:

100% = 1.

The ingredients, along with their fractions, are given as follows:

Hence the percentage composed by fruit or yogurt is given as follows:

2/3 + 1/3 = 3/3 = 1 = 100%.

Hence 0% is composed by neither fruit nor yogurt, hence the fraction is also of zero.

(as the entirety of the recipe is composed by either fruits or yogurts, as obtained above).

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

#SPJ1

We can conclude that the fish moves towards Ronnie at a speed of 0.5 feet per second.

Speed indicates how quickly something or someone is moving.

If we know how far something has traveled and how long it took to get there, we can calculate its average speed.

Speed is calculated as follows: speed = distance * time.

Knowing the units for distance and time is necessary to calculate the units for speed.

So, we know that:

Ronnie reeling a fish at 2 ft per second.

Fish moving away from 1.5 ft per second.

Speed of fish coming to Ronnie:

2 - 1.5

0.5 ft per second

Therefore, we can conclude that the fish moves towards Ronnie at a speed of 0.5 feet per second.

Know more about speed here:

brainly.com/question/13943409

#SPJ4

Draw 5 new arcs from point D along DB the same distance apart as those on AC. Then the correct option is A.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Nelda is dividing AB into 6 congruent segments. She has reached the point shown.

Draw 5 new arcs from point D along DB the same distance apart as those on AC. Then connect each corresponding point on AC and BD. Then the correct option is A.

More about the line segment link is given below.

https://brainly.com/question/25727583

#SPJ1

The complete question is attached below.

The proportional relationship that shows the relationship when Elena bixed x miles and Noah biked 2/3 more than that is y = 1.667x

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

A proportional relationship is one in which the variations of two quantities are equal. In this case, the proptortional relationships Elena bixed x miles and noah biked 2/3 more than that will be:

y = (1 + 2/3)x

where y = number of miles for Noah

y = 1.667x

Learn more about proportional relationship on:

https://brainly.com/question/29712950

#SPJ1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x -6 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so its slope is 2/3 hmmmm

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{a}}}{\underset{\textit{\large run}} {\underset{x_2}{9}-\underset{x_1}{6}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{2}{3}}\implies \cfrac{-4-a}{3}=\cfrac{2}{3}\implies -12-3a=6 \\\\\\ -12=6+3a\implies -18=3a\implies \cfrac{-18}{3}=a\implies -6=a[/tex]

The percentage of people with a tablet that also have a smart-phone is given as follows:

28.8%.

Conditional probability is the probability of one event happening, considering the result of a previous event.

The formula is defined as follows, according to Bayes' Theorem:

[tex]P(B|A) = \frac{P(B) \times P(A|B)}{P(A)}[/tex]

In which the probabilities are defined as follows:

The events for this problem are given as follows:

Hence the probabilities are given as follows:

P(A) = 0.35, P(B) = 0.24, P(A|B) = 0.42.

Hence the conditional probability is of:

P(B|A) = 0.42 x 0.24/0.35 = 0.288.

Meaning that the percentage is of:

0.288 x 100% = 28.8%.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ1

The matching of the situations with the equations are;

1) Situation 1 = 10x + 5 = 35

2) Situation 2 = 5x + 10 = 35

3) Situation 3 = 35x + 5 = 10

1) We are told that Kate buys 10 tickets to a show she also pays a $5 parking fee she spent $35 to see the show.

This means that if the amount per ticket is x, it means that the equation is; 10x + 5 = 35

2) We are told that Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has 10 pens left for himself.

This means that if the amount of pen he gives to each friend is x, then the equation is; 5x + 10 = 35

3) Yin spends 10 hours on homework this . She spends 5 hours on science homework and then answers 35 math problems.

The equation to represent this is;

35x + 5 = 10

Read more about Algebraic Word Problems at; https://brainly.com/question/21405634

#SPJ1

Answer:

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

The point-slope form:

Substitute the given values to get:

Simplify:

Answer:

Least to Greatest:

- 2

25 }

 <  { - 1.55  <  

111

100

Step-by-step explanation:

The coordinate pairs of the data can be written as follows:

(0, 12.00),(26, 14.00),(52, 15.00),(78, 13.00),(104, 17.00).

Time (x) Closing Price (y)

0 $12.00

26 $14.00

52 $15.00

78 $13.00

104 $17.00

We can represent the data as coordinate pairs. Let x represent the number of weeks since the first data point, and y represent the closing price at each time. So, x = 0 represents the data point from 5 years ago.

For example, for the first data point x = 0 and y = 12.00. This can be written as (0, 12.00). Similarly, for the second data point with x = 26 and y = 14.00, the coordinate pair is (26, 14.00).

Therefore, the coordinate pairs of the data can be written as follows:

(0, 12.00)

(26, 14.00)

(52, 15.00)

(78, 13.00)

(104, 17.00)

Learn more about the coordinate pairs here:

https://brainly.com/question/28185691

#SPJ4

In the year 2009, the company's profit would be $6.95 million.

It should be noted that profit simply has to do with the gain that is made from the sales of a particular commodity.

In the year 2007, a company made $6 million in profit. For each consecutive year after that, their profit increased by 8%. Based on the question, we will like to know the would the company's profit be in the year 2009, to the nearest tenth of a million dollars.

The company's profit be in the year 2009, to the nearest tenth of a million dollars will be:

In the year 2008, the company made $6 million + 8% * $6 million = $6.48 million.

In the year 2009, the company made $6.48 million + 8% * $6.48 million = $6.95 million.

So in the year 2009, the company's profit would be $6.95 million, to the nearest tenth of a million dollars.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

The weight of the couch is 1150 N hence the  180 N can not be able to move it without assistance.

We know that the force has to do with that which is able to make an object to move. We know that the friction force is the force that tends to prevent the movement of a body.

However, in this case, the force that is applied must be greater than the frictional force that is acting on the object and as such the object can be made to move from one point to another as we can see in the question.

Learn more about force:https://brainly.com/question/13191643

#SPJ1

Missing parts;

Danielle just moved into a new apartment and her couch was left by the entrance. The couch has a mass of 115 kg and wood feet. The entrance into the apartment has a smooth hardwood floor while the living room is carpeted (see following chart for coeffients of friction). Danielle initially tried pushing it by herself with a force of 180 N. Then her brother, Ramone, dropped by and helped. Together they were able to push the couch where she wanted it in the living room. Why could she not move the couch?

Answer: 8/5

Step-by-step explanation:

2/5 * 4 = (2*4)/5 = 8/5

Answer:

1/10

Step-by-step explanation:

2/5÷1/4=2/5×4/1=2/5×4/1=1/10

Applying the same method is right. Δ ABC is right angle triangle.

the drop down menu

the statements are

[tex]4^2 \ is < 3^2 +3^2[/tex]

to prove that

the value of

[tex]4^{2}[/tex] is 16

the value of [tex]3^2[/tex] is 9

so the statement is

16 < 9+9

16 < 18

as given 16 is less than 18

therefore Δ JKL is an acute angled triangle

A triangle with acute interior angles is known as an acute angle triangle. Remember the angle is acute that is one that is less than 90 degrees.

By applying the same method

[tex]5^2 = 3^2 +4^2[/tex]

the value of  5 to the power 2 is

=> 25 = 9+16

=> 25 =25

we can say that the statement is true

at the same method Δ ABC is a right angled triangle

To learn more about right-angled triangle :

https://brainly.com/question/22707917

#SPJ4

we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.

52 - 32 = 20; △abc = 20

First, subtract the two numbers given in the statement: 42 - 32 = 10.

Next, apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20.

The answer for the first statement is then 10; △jkl = 10.

The answer for the second statement is then 20; △abc = 20.

To solve this problem, we must first subtract the two numbers given in the statement: 42 - 32 = 10. This is the answer for the first statement; △jkl = 10. We must then apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20. This is the answer for the second statement; △abc = 20. Therefore, the answer to the question is that △jkl is 10 and △abc is 20. In order to determine this, we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

The constant of inverse variation will be k = 42n

In a mathematical equations where a relationship is established for some type of parameters normally two types quantities exist. One is constant that doesn’t change with the changes of other parameters in the equation and another is the variables which change for different situations. The changing of variable parameters is called as variation.

There are four types of variation in mathematics and they are;

Let cost = c

number of people = n

c ∝ 1/n

c = k/n

where k = constant of proportionality

but c = $42

therefore;

42 = k/n

k = 42n

Learn more about proportionality here:https://brainly.com/question/6499629

#SPJ1

The distance and displacement are the same because both determine the total path traveled by the object.

It is also true that the total path length covered by a subject is equal to the displacement and as well as the distance if it has moved along in a straight line.

The distance between two places of an item in motion is known as displacement. Therefore, it relies on both the starting position and the ending position. Displacement is also the shortest distance between the initial and ultimate places.

Thus, The distance and displacement are the same because both determine the total path traveled by the object.

To know more about displacement visit: brainly.com/question/2193360

#SPJ4

No, the formula of distance and displacement is not same.

In order to find the solution, we must know that what is meant by distance and displacement.

The formula of speed distance time is mathematically given as,

=> Speed = Distance/Time

And the term displacement is referred as the change in position of an object and it is the smallest distance between two positions.

Here we have also know that it is a vector quantity and it has magnitude and direction both.

The formula to calculate the displacement is written as

=> displacement = velocity x time

While we looking into the definition, we have identified that both terms are not equal.

And the formula of each of them are also differs.

To know more about Distance here

https://brainly.com/question/4199102

#SPJ4

The possible data in the question does not provide sufficient evidence available to support the alternative hypothesis that there is a difference between Mr. Starnes and Ms. McGrail's AP Statistics classes and Mr. Starnes did not stack the class.

In statistics, a hypothesis test is the performance of a test on an assumption made about a population parameter.

The possible data in the question, obtained from a similar online question, using MS Excel, indicates;

The mean of the Starnes GPA ≈ 3.212867

The standard deviation of Starnes GPA ≈ 0.364249

Mean of McGrail GPA ≈ 3.134722

The standard deviation of McGrail's GPA ≈ 0.357995

The null hypothesis is H₀: μ₁ - μ₂ = 0

The alternative hypothesis is Hₐ: μ₁ - μ₂ ≠ 0

The test statistic is found using the following formula;

[tex]t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }[/tex]

The decision rule is obtained with α = 0.05 and the null hypothesis is rejected t₀ ≤ -1.96 or t₀ ≥ 1.96

Therefore, we get;

[tex]t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{\dfrac{0.364249^2}{15}+\dfrac{0.357995^2}{18} } } \approx 0.618[/tex]

The parameter for the degrees of freedom is 15 - 1 = 14

The critical value obtained from the t-table, at t.₉₅ is 1.761 which is larger than 0.618, therefore, we fail to reject the null hypothesis, and the evidence is insufficient to suggest that there is a difference in the average score of the two AP Statistics classes.

Taking the variance to be the same, we get;

[tex]S_p^2= \dfrac{(n_1-1)\cdot s_1^2+(n_2-1)\cdot s_2^2}{n_1+n_2-2}[/tex]

Therefore;

[tex]S_p^2= \dfrac{(15-1)\times 0.364249^2+(18-1)\times 0.357995^2}{15+18-2}\approx 0.1302[/tex]

[tex]t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{s_p^2 \times\left(\dfrac{1}{n_1}+\dfrac{1}{n_2} }\right) }[/tex]

[tex]t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{0.1302\times \left(\dfrac{1}{15}+\dfrac{1}{18} }\right) } \approx 0.6195[/tex]

df = 15 + 18 - 2 = 31

From the t-table, the critical value is about 1.697, which is larger than 0.6195, therefore, the null hypothesis cannot be rejected and the evidence available is not enough to suggest that there is a difference between the grade point averages of Mr. Starnes and Ms. McGrail AP Statistics classes and Mr. Starnes did not stack the class

Learn more on hypothesis testing here: https://brainly.com/question/14042255

#SPJ1

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\frac{DF}{GF}=\frac{EF}{HF}\\[/tex] and ∠DFE is congruent to ∠GFH.

Two triangles are said to be similar if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

The following may be seen given ∠DEF as depicted in the figure linked to this answer:

By comparing ΔGFH and ΔDEF, we get

DG + GF = DF

= 12 + 4

=> DF = 16

Also,

EF = EH +HF

=> EF=9 + 3

=>EF = 12

Using the sides of ΔDEF and ΔGFH as a comparison, we have;

[tex]\frac{DF}{GF}=\frac{EF}{HF}\\ = > \frac{16}{4}=\frac{12}{3}\\ = > 4=4[/tex]

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, the appropriate answer to the given question is option C. ∠DFE is congruent to ∠GFH

To know more about similarity of triangles refer to:

brainly.com/question/14926756

#SPJ4

To prove that ΔDFE is similar to ΔGFH by SAS similarity theorem, it can be stated that DF / GF = EF/ HF and ∠DFE is congruent to ∠GFH (∠DFE ≅ ∠GFH).

To prove a triangle is similar to another triangle by SAS similarity theorem two sides in one triangle should be proportional to two sides in another triangle and the included angle in both should be congruent, then the two triangles are similar.

If ΔDFE is similar to ΔGFH, then ∠DFE is congruent to ∠GFH, ∠EFD is congruent to ∠HFG and ∠FHG is congruent to ∠FED.

Also DF / GF = EF/ HF = DE/ GH.

From the given options so correct statements are

DF / GF = EF/ HF

∠DFE ≅ ∠GFH

To know more on similarity theorem of triangles

https://brainly.com/question/24167205

#SPJ4

Answer:

A

Step-by-step explanation:

A function is when every input has only one output so therefore A is the answer.

Answer:

[tex]b =\sqrt{51}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem,

[tex]a^{2} + b^{2} = c^{2} \\7^{2} + b^{2} =10 ^{2} \\b^{2} = 10^{2} - 7^{2} \\b^{2} = 100-49\\b^{2}= 51\\ b = \sqrt{51}[/tex]

Hence the length of the third side is [tex]\sqrt{51}[/tex]

Answer: 11(4-0)

Step-by-step explanation: take 11 out of 44= 11(4

Take 11 out of 11= 11(4-0)

The result upon evaluation of the expression given; -67 / 50 + 1.5 - 100% as required to be determined is; -0.84.

It follows from the task content that the result of the expression evaluation is required to be determined.

Since the given expression is;

-67 / 50 + 1.5 - 100%

First, it is important to know that I'm the context of percentages; a% simply means; a / 100.

Therefore; 100% = 100 / 100 = 1.

Therefore, the resulting expression is;

-67 / 50 + 1.5 - 1

= -1.34 + 1.5 - 1

= -2.34 + 1.5

= -0.84

On this note, the required exact decimal which is the equivalent of the given expression is; -0.84.

Read more on percentages;

https://brainly.com/question/843074

#SPJ1

Where the above scenario is given, the probability:  P(A, A) if two cards are randomly selected with replacement is one-ninth or 1/9 (Option B)

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Thus,

P(E) = Number of required outcomes / Total number of possible outcomes

Where P(E) is the Probability of the Expected value.

The possible outcomes are the spelling of the word ADD,

The probabilities are 1/3, 1/3, 1/3 respectively.

So, P(A, A) if two cards are randomly selected with replacement will be

P(A, A) = 1/3 * 1/3

= 1/9

Thus, the probability of the event is 1/9. (Option B)

Learn more about probabilities:
https://brainly.com/question/29381779

#SPJ1

Answer:

Step-by-step explanation:

The inequality that depicts the number of apples and pears that may be purchased for no more than $2 is as follows:

0.5x + 0.85y <= 2

The total cost of purchasing x apples and y pears, where each apple costs $0.50 and each pear costs $0.85, must be less than or equal to $2, according to this inequality.

The element ([tex]e_{12}[/tex]) at row 1 column 2 is 40.

Matrices, the plural form of a matrix, are the arrangements of numbers, variables, symbols, or expressions in a rectangular table that contains various numbers of rows and columns. They are rectangular-shaped arrays, for which different operations like addition, multiplication, and transposition are defined. The numbers or entries in the matrix are known as its elements. Horizontal entries of matrices are called rows and vertical entries are known as columns.

Multiplying the matrix by 4 x [tex]\left[\begin{array}{ccc}5&10&4\\9&3&2\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}20&40&16\\36&12&8\\\end{array}\right][/tex]

Learn more about matrix here: https://brainly.com/question/1279486

#SPJ1