Simon used 13 pears and 9 apple to make fruit salad. What was the ratio of the number of apple to the number of fruit in the fruit salad?

Answers

Answer 1

Answer:

13:9

Step-by-step explanation:

Answer 2

The ratio of the number of apples to the number of fruits in the fruit salad is given by the equation A = 9 : 22

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the ratio of number of apples to the number of fruits be A

Now , the proportion will be

The number of pears = 13 pears

The number of apples = 9 apples

Now , the number of fruits = number of pears + number of apples

Substituting the values in the equation , we get

The number of fruits = 13 + 9 = 22

Now , the proportion of apples to fruits A is

Ratio of the number of apples to the number of fruits in the fruit salad A = number of apples : number of fruits

Substituting the values in the equation , we get

Ratio of the number of apples to the number of fruits in the fruit salad

A = 9 / 22

A = 9 : 22

Therefore , the value of A is 9 : 22

Hence , the proportion is 9 : 22

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Related Questions

Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is  [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]

Step-by-step explanation:

From the question we are told that

        [tex]x =  e^{-2a} cos (5v)[/tex]

and  [tex]y  =  e^{-2a} sin(5v)[/tex]

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

     [tex]| \frac{\delta  (x,y)}{\delta (u, v)} | =  | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |[/tex]

        [tex]= |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right]  |[/tex]

[tex]Let \   a =  -2e^{-2u} cos(5v),  \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)[/tex]

So

     [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = |det  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |[/tex]

=>    [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = | a *  b  - c* d |[/tex]

substituting for a, b, c,d

=>    [tex]\frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|[/tex]

=>   [tex]\frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 e^{-4u} (cos^2 (5v)   + sin^2 (5v))|[/tex]

=>  [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]

Which of the following statements best describes adjacent angles

Answers

Answer:

The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

The statement that best describes adjacent angles is that adjacent angles share a side.

What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

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13.845 - 10.87-
What is this

Answers

Answer:

2.975

Step-by-step explanation:

yeah i don't have an explanation I used a calculator

Answer:

2.975

Step-by-step explanation:

The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital
About 40 of the birth weights were below?
A) 92 ounces B) 102 ounces C) 112 ounces D) 122 ounces

Answers

This question is Incomplete because it lacks the diagram of the box plot. Please find attached the diagram of the box plot

Answer:

B) 102 ounces

Step-by-step explanation:

Looking at the attached diagram, we can see the box plot it divided into different segment

The median weight of the babies = 110 ounces

The maximum weight of the babies is between = 140 and 130, approximately let's say 135 ounces

The minimum weight is 80 ounces

Then the box in the middle is divided into 3

It has the First Quartile

Median

And third Quartile

Since we have 160 infants born in the local hospital, about 40 of the birthweights we fall into

= 40/160 = 1/4

1/4 represents the first Quartile

Looking at the box plot, 40 of the birthweights were below 102 ounces.

please i need help!! Translate these words into symbols: The sum of fifteen and a number q equals the product of six and a number q

Answers

Answer:

15 + q = 6q

Step-by-step explanation:

To solve n+7=15 you should first

Answers

Answer:

Collect like terms and simplifySubtract 7 from both sides

Step-by-step explanation:

METHOD 1

[tex]n+7=15\\n =15-7\\n = 8[/tex]

METHOD 2

[tex]n+7-7=15-7\\n =8[/tex]

Answer:

Subtract 7 from both sides.

Step-by-step explanation:

Step 1:

n = 15 - 7

Answer:

n = 8

Hope This Helps :)

If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages

Answers

Answer:

the sole proprietor is personally liable for damages the injured woman is awarded by the courts.

Step-by-step explanation:

How do I factor 4x^2-12x^3?

Answers

The answer is 4x^2(1 - 3x)

East High wants to estimate the number of seniors who plan to go to a 4-year college. 1) Which of the following surveys probably would best represent the entire population of seniors? a) 25 glee club members are randomly selected; 16 plan to go to a 4-year college. b) 25 honor roll students are randomly selected from the senior class; 14 plan to go to a 4-year college. c) 25 seniors are randomly selected; 13 plan to go to a 4-year college. 2) There are 650 seniors at East High. Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college.

Answers

A is probably the one that would represent most of the population since it has a bigger fraction.

And it would be around 410 seniors who would plan to go to a 4-year college.

We have to determine whether the following surveys probably would best represent the entire population of seniors.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Therefore, A is probably the one that would represent most of the population since it has a bigger fraction.

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An estimated 416 seniors plan to attend a 4-year college.

Now, For  the number of seniors who plan to go to a 4-year college, we can use the proportion of seniors in the sample who plan to attend a 4-year college and apply it to the entire senior class.

From the sample in option a), 16 out of 25 seniors plan to attend a 4-year college.

To estimate the number of seniors who plan to attend a 4-year college, we can use the following proportion:

16/25 = x/650

Solving for x, we get:

x = (16/25) x 650

x = 416

Therefore, an estimated 416 seniors plan to attend a 4-year college.

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hellpp -4c - 9.6 +5c = 0

Answers

Answer:

c =9.6

Step-by-step explanation:

[tex]-4c - 9.6 +5c = 0\\\\\mathrm{Group\:like\:terms}\\-4c+5c-9.6=0\\\\\mathrm{Add\:similar\:elements:}\:-4c+5c=c\\c-9.6=0\\\\\mathrm{Add\:}9.6\mathrm{\:to\:both\:sides}\\c-9.6+9.6=0+9.6\\\\Simplify\\c=9.6[/tex]

Answer:

c = 9.6

Step-by-step explanation:

Let's look at our equation; - 4c - 9.6 + 5c = 0. Now we need to collect the like terms which are -4c and 5c.

- 4c - 9.6 + 5c = 0

5c - 4c - 9.6 = 0

We get: c - 9.6 = 0

Now we will add 9.6 on each side to see what c is equal to.

c - 9.6 = 0

  +9.6    +9.6

c = 9.6

Yay! We got our answer! Nice job everyone!

A company says their cough syrup, called Cough-Up, is real effective and that 7 out of 10 doctors prefer it over any competitors. Using the given ratio, answer the following questions If there are 40 doctors, how many prefer Cough-Up? Your answer​

Answers

Answer:

40÷10=4

7×4=28

18 doctors

There are 18 doctors

Between which two integers is the positive value of the square root of 55?

Answers

I believe its between the integers of 7 and 8.

Answer:

7 and 8

Step-by-step explanation:

√55 is in between 49 and 64. Get 49 and 64 squared and you will get 7 and 8.

a bucket full of milk is 80cl,how many litres are in 15 of such​

Answers

Answer:

1.2 liters

Step-by-step explanation:

1 bucket has a volume of 80 cL.

15 buckets have a volume of 15 * 80 cL = 120 cL

1 L = 100 cL

120 cL * (1 L)/(100 cL) = 1.2 L

5/8x3/5
help please

Answers

Answer:

3/8

Step-by-step explanation:

reduce the numbers with the greates componentes factor. 5 and then calculate the product

The answer to the problem is 3/8

Last year, Dana grew 1/2 of an inch and her brother grew 1/8 of an inch. How much more did Dana grow than her brother?

Answers

Answer:

3/8 inch

Step-by-step explanation:

1/2 of an inch is equal to 4/8

4/8-1/8=3/8

Hope this helps :-)

Please help what is the area?

Answers

Answer: 70 square units

The data below contain the number of defects observed on each of 250 lcd screens.0 1 2 4 5 5 3 4 3 4 4 2 2 1 0 2 1 3 4 1 4 5 1 2 2 1 4 4 2 0 3 2 1 1 1 1 1 0 0 3 5 4 1 1 5 1 5 1 5 3 2 3 3 4 1 1 0 1 0 2 1 3 0 2 5 2 3 0 2 3 4 2 2 0 4 2 1 3 3 1 2 1 5 1 0 1 1 1 1 1 3 2 0 3 5 5 1 2 5 3 1 3 1 3 4 5 1 0 3 6 1 1 1 1 1 1 1 2 1 3 5 0 1 5 3 0 4 5 3 4 3 4 2 4 3 1 3 5 2 1 5 3 2 0 4 3 1 1 1 3 5 1 3 1 1 2 1 6 1 5 4 0 4 2 4 2 4 2 1 1 4 1 4 1 1 3 5 3 4 1 1 4 1 0 5 2 2 1 2 4 1 1 4 5 3 2 1 2 0 3 3 5 6 2 1 1 1 1 0 0 1 1 4 3 1 3 1 4 5 3 3 0 6 2 6 3 1 1 1 1 0 5 1 0 2 1 1 3 2 1 3 4 3 2 2 1 1 3 6 1Required:a. What proportion of the screens have more than 4 defects? Give your answer to three decimal places.b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.

Answers

Answer:

0.128 ; 0.872 ; 0.748 ; 0.124 ; 0.252

Step-by-step explanation:

Given the data above ;

The frequency distribution generated for the number of defects observed on each of 250 lcd screens are as follows :

__number of defects___frequency

____0 _______________24

____1 _______________82

____2 _______________38

____3 _______________43

____4 _______________31

____5 _______________26

____6 _______________6

A.) . What proportion of the screens have more than 4 defects? Give your answer to three decimal places.

More than 4 defects = (number of 5 defects + 6 defects) / total number of defects)

(26 + 6) / 250 = 32 / 250 = 0.128

b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3 + 4) defects

= (24 + 82 + 38 + 43 + 31) / 250

= 218 / 250 = 0.872

c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3) defects

= (24 + 82 + 38 + 43) / 250

= 187 / 250 = 0.748

d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.

Number of 4 defects = 31

= 31 / 250

= 0.124

e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.

Number of (4 + 5 + 6) defects

= (31 + 26 + 6) / 250

= 63 / 250

= 0.252

A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.

Answers

Answer:

f= The proportion of registered voters who will vote Yes on the measure. a= The 1000 registered voters who participated in the study. b= The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. e= Yes or No for each registered voter. f= All registered voters in the US. d= The list of Yes and No answers that were given by the 1000 participants in the study.

Step-by-step explanation:

See attached. Continuation of the question:

__________The proportion of registered voters who will vote Yes on the measure. __________The 1000 registered voters who participated in the study. __________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. _________Yes or No for each registered voter All registered voters in the US _________The list of Yes and No answers that were given by the 1000 participants in the study  a. Sample b. Statistic c. Parameter d. Data e. Variable f. PopulationSolution

Comparing definitions of the vocabulary words on the bottom of the question, we can match the examples as follows:

Parameter = The proportion of registered voters who will vote Yes on the measureSample = The 1000 registered voters who participated in the studyStatistic = The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measureVariable = Yes or No for each registered voterPopulation = All registered voters in the USData = The list of Yes and No answers that were given by the 1000 participants in the study

3/2•3/2•3/2•3/2 rewrite product in exponential form

Answers

Answer:

1.5^4

Step-by-step explanation:

The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.

FIll in the blank to make the equation true: (−8−4)÷[]​=−6

Answers

Answer:

2

Step-by-step explanation:

-8-4/x= -6

multiply x to both sides of the equation.

-8-4= -6x

solve -8-4. (-12)

-12= -6x

divide both sides by -6.

2=x

(2x)4 written without exponents

Answers

Answer:

(2x)(2x)(2x)(2x)

Step-by-step explanation:

I assume the 4 is an exponent.

(2x)^4 = (2x)(2x)(2x)(2x)

Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi.

A. 18 pi in.
B. 324 pi in.
C. 54 pi in.
D. 36 pi in.

Answers

Answer:

36pi. in. answer is D

Step-by-step explanation:

C = 2(18)pi= 36pi in

BC=6x+4, AC=52, and AB=4x+8 find BC

Answers

Answer:

i'm not sure if it is the right answer or not

Step-by-step explanation:

Let's assume AC is a straight line and B is one the line, between A and C

AC-AB=BC

52-4x-8=6x+4

10x=40

x=4

--> BC=6x+4=6.4+4=28

What information can you obtain about the scores in a regular frequency distribution table that is not available from a grouped table.

A. The number and width of the class intervals

B. The exact frequency for each category on the scale of measurement

C. The overall frequency for each class interval

Answers

Answer: B. The exact frequency for each category on the scale of measurement

Step-by-step explanation: The main difference between a grouped table and regular frequency distribution exists in the fact that ; grouped table takes in a defined range of (X) values, that is takes more than one individual value per group and takes the frequency of all scores or values in the group, hence giving the frequency of the scores in the interval rather than the frequency of each individual score. On the other hand, the regular frequency distribution treats values or scores individually and then takes the frequency of each score. This way a regular frequency distribution enables us to know the exact number or distribution of each individual score.

The information in a regular frequency distribution table that is not available from a grouped table is (b) the exact frequency for each category on the scale of measurement

There are several similarities between a regular frequency table, and a grouped frequency table.

However, both frequency tables have a major difference.

This difference is in the frequency of the data they represent

While a regular frequency table shows the exact frequency of each data element, a grouped frequency table cannot show the exact frequency of each data element.

Hence, the true option is (b)

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The mass of Earth is 5.97 x 1024 kilograms, and the mass of Venus is 4.87 x 1024 kilograms. What is the difference between the mass of the two planets?
A 1.084 x 1025 kilograms
B 3.6 x 1025 kilograms
1.1 x 1024 kilograms
D 2.91 x 1024 kilograms
INT

Answers

Answer:

1126.4

Step-by-step explanation:

5.97 x 1024 =6113.28

4.87 x 1024=  4986.88

6113.28-4986.88 =1126.4

Convert 1 million seconds into years (round to 3 decimal places)

Answers

Answer:

that would be 0.032 because 1 million secs is 11 days 13 hours 46 minutes and 40 secs

Answer:

0.032 years.

Step-by-step explanation:

1 year = 365 * 24 * 60 * 60 = 31,536,000 seconds.

=  1000000 / 31,536,000

= 0.03170979

SUMA Y RESTA DE FRACCIONES
• Resuelve los siguientes problemas.
1.- Valentina, Camila y Hania cumplen años el mismo día. Al momento de partir el pastel a
1 / 3
Valentina le tocó 6 , a Camila 3 y a Hania partes del pastel.
6
¿Quién comió más pastel? Camila
¿Qué fracción de pastel comieron entre las tres?
¿Qué fracción de pastel sobró?

Answers

Answer:

Camila y Hania fueron las que comieron más pastelEntre las tres comieron [tex]\frac{5}{6}[/tex] de pastelSobró [tex]\frac{1}{6}[/tex] de pastel

Step-by-step explanation:

La pregunta está mal formulada. Debería ser :

A Valentina le tocó 1/6 , a Camila 1/3 y a Hania 2/6 del pastel.

Para responder a la pregunta de quién comió más pastel podemos proceder de varias formas.

Una forma es expresar las fracciones de manera decimal :

Valentina : [tex]\frac{1}{6}=0.1666[/tex]

Camila : [tex]\frac{1}{3}=0.3333[/tex]

Hania : [tex]\frac{2}{6}=0.3333[/tex]

Así nos daríamos cuenta de que Camila y Hania fueron las que comieron más pastel (Vale aclarar que Camila y Hania comieron la misma cantidad).

Otra posible forma es igualando los denominadores de las fracciones y comparando sus numeradores.

Por ejemplo, [tex]\frac{1}{3}[/tex] se puede expresar como [tex]\frac{1}{3}=\frac{2}{6}[/tex] (multiplicamos por dos tanto al numerador como al denominador) ⇒ las nuevas fracciones correspondientes a lo que comió cada una son :

Valentina : [tex]\frac{1}{6}[/tex]

Camila : [tex]\frac{2}{6}[/tex]

Hania : [tex]\frac{2}{6}[/tex]

Dado que todas las fracciones tienen el mismo denominador (seis) comparamos ahora sus numeradores y nos damos cuenta de nuevo que Camila y Hania fueron las que comieron más pastel.

Con las tres fracciones con el mismo denominador (seis) procedemos a responder la segunda pregunta :

¿Qué fracción de pastel comieron entre las tres?

Para averiguarlo sumaremos las fracciones de pastel que comió cada una :

[tex]\frac{1}{6}+\frac{2}{6}+\frac{2}{6}=\frac{5}{6}[/tex]

Encontramos que entre Valentina, Camila y Hania comieron [tex]\frac{5}{6}[/tex] de pastel.

Finalmente, para averiguar que fracción de pastel sobró debemos restarle al total (uno) la fracción de pastel que comieron entre las tres :

[tex]1-\frac{5}{6}=\frac{1}{6}[/tex]

Esto se debe a que el ''uno'' representa el ciento por ciento del pastel (el total). Encontramos que sobró [tex]\frac{1}{6}[/tex] de pastel.

Camila fue quien más comió, ya que comió el doble que las demás. Entre las tres, comieron 2/3 del pastel, por lo que sobró 1/3 del mismo.

Dado que Valentina, Camila y Hania cumplen años el mismo día, y al momento de partir el pastel a Valentina le toco 1/6, a Camila 1/3 y a Hania 1/6 partes del pastel, para determinar quién comió más pastel, qué fracción de pastel comieron entre las tres y qué fracción de pastel sobró se deben realizar los siguientes cálculos:

¿Quién comió más pastel?1/6 = 0.1661/3 = 0.333Por lo tanto, Camila fue quien comió más pastel.

¿Qué fracción de pastel comieron entre las tres?1/6 + 1/6 + 1/3 = 2/6 + 1/3 = 2/3Por lo tanto, entre las tres comieron 2/3 del pastel.

¿Qué fracción del pastel sobró?1 - 2/3 = 1/3Por lo tanto, sobró 1/3 del pastel.

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what is 2(4 – 16) – (–30)

Answers

The answer is 6 I use Photomath just type the questions in and it gives you the answer
The answer should be 6 from what I have gotten here’s a tip download the app Photomath it is very useful for math and helps a lot with clear explanations

Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank?

Answers

Step-by-step explanation:

the answer would be 4 glasses of water

....................

Answers

Answer:

what's the Question???

Step-by-step explanation:

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