Chang and Cal both collect pearls. Chang has three more pearls in her collection than Cal. Write an expression to represent the total number of pearls in both collections.

Answers

Answer 1
Let x be the number of pearls in Chang's collection.  Let y be the number of pearls in Cal's collection.

Chang has 3 more than Cal, so xy + 3.
Adding both collections would be xy.  It's easier to have an expression in one variable, so we will substitute what we had written about Chang in for x.
(y + 3) + y = 2y + 3.

Related Questions

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years. y = 15,200 ∙ 2x; about 15,564,800 people y = 2 ∙ 15,200x; about 304,000 people y = 15,200 ∙ 1.02x; about 18,529 people y = 15,200 ∙ 2x; about 18,529 people

Answers

For this case, what you need to know is that to model this problem, you must use equations of the potential type:
 y = A * (b) ^ t
 Where:
 A: initial population.
 b: growth rate.
 t: time.
 Substituting values we have:
 y = 15200 * (1.02) ^ t
 After 10 years we have:
 y = 15200 * (1.02) ^ 10
 y = 18529
 Answer:
 An equation to model of the population growth is:
 y = 15,200 ∙ 1.02 ^ x
 the population after 10 years is:
 about 18,529

o decorate his bedroom, Mike spent $41.64 on new bedding, $36.84 on paint, and $72.49 on accessories. About how much did he spend to decorate his bedroom?

Answers

He spent 150.97 hope this helps :) have a good day

Answer:

Mike spent $150 on his decorations.

Step-by-step explanation:

In order to find the amount of money Mike spent on his decorations you must add all the costs together.

$41.64 + $36.84= $78.48

$78.48 + $72.49= $150.97

Then you round 150.97 to 151, which is also close to 150.

Hope this helps :)

Write a real-world problem that can be represented by a rule and a table using division

Answers

A company makes different size square containers. How can you find the length of each side if you know the perimeter of each of the containers? Represent your answer in a table, and right and equation that shows the rule used. You would write the equation x/4=y. I would create an input/output table with the labels x and y. I would then write various lengths for the perimeters and use the rule of dividing by 4 to find the y values.

∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 31°. What is the measure of ​ ∠1 ​? Enter your answer in the box. °

Answers

The meaning of vertical angles are two congruent angles formed by the intersection of two straight lines. 

On this question is given that angles one and two are vertical, and the measure of one of them or angle two is 31 degrees.
As said before vertical angles are congruent, or have the same measurement.

Meaning that angle one is equal to 31 degrees.

68 is decrease by 15%

Answers

68 divided by 100 = 0.68
0.68 x 15 = 10.2
68-10.2 = 57.8
57.8 is your answer

100% - 15% = 85%
After decreasing by 15%, there will be 85% left

100% = 68
1% = 68 ÷ 100 = 0.68
85% = 0.68 x 85 = 57.8

Pythagorean Theorem in Cones. I need a lot of help.

Answers

The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.

(side1)^2 + (side2)^2 = (hypotenuse)^2

Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...

4^2 + height^2 = 8^2 

If we solve for height, we get the following...

height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)

Since we are only asked for what is inside the square root, our answer is 48.

What is 3 1/3 +(-2 1/4) + 1 5/6 as a mixed fraction

Answers

The answer is 2 11/12 because you do 3 1/3 + -2 1/4 which gets you 1 1/2. Then you need to add 1 5/6 to the 1 5/6 to get your answer. So when you add up your answer you get 2 11/12. Hope this helps.

By separating between whole numbers and fractions, we will see that the sum is equal to 2 + 11/12.

How to add mixed numbers?

Here we want to perform the sum:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6)

We separate between whole and fractions, so we get:

(3 - 2 + 1) + (1/3 - 1/4 + 5/6)

The left part is easy: 3 - 2 + 1 = 2

The right part needs to find a common denominator, we will use 12.

1/3 - 1/4 + 5/6 = 4/12 - 3/12 + 10/12 = 11/12

Then the sum is:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6) = 2 + 11/12

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Two letter are chosen without replacement at random from the English alphabet. If y is considered to be a consonant, find the probability that both are vowels and that both are consonants

Answers

To find the probability of picking a vowel, you would find the probability of getting a vowel the first time (5/26). The next time you pick it would be 4/25. Multiply these together to get 2/65 as your probability of getting a vowel. For your probability of getting a consonant, it would be 21/26 and 20/25. Multiply this together to get 42/65 as your probability.

Final answer:

Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.

Explanation:

The probability of choosing two vowels:

There are 5 vowels in the English alphabet: a, e, i, o, u.

The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.

The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.

Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.

The probability of choosing two consonants:

The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.

Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.

NEED HELP ASAP 20 POINTS

A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?

TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5

A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12

Answers

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.


Answer:

nc=72,6$

Step-by-step explanation:


Which type of data is presented on the y-axis
A. Age
B. Credit card debt
C. Age and credit card debt
D. Averages

Answers

Answer:

1.

Q: What is the purpose of a scatter plot?

A: B. To help visualize the relationship between two types of data.

2.

Q: What is Microsoft Excel particularly well-suited for?

A: D. organizing data

3.

Q: Which type of data is presented on the y-axis?

A: B. Credit card debt

4.

Q: How many people are presented on the scatter plot?

A: C. 13

5.

Q: Which of the following choices could be the approximate coordinates for the oldest person on the scatter plot?

A: A. (58, $7,800)

Just took it! 5/5 100%

Credit card debt is the type of data is presented on the y-axis

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to find the type of data presented on the y axis.

The given graph is a scatter plot.

A scatter plot uses dots to represent values for two different numeric variables.

The vertical line in the graph represents the y axis.

The horizontal line in the graph represents the x - axis.

In the given graph, the age is represented in the x axis and credit card debit is represented on the y-axis.

Hence, Credit card debt is the type of data is presented on the y-axis

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write y=(- 3/4)x+3 in standard form using intregers

Answers

y = (-3/4)x + 3
4y = 4 * [ (-3/4)x + 3 ] ... multiply both sides by 4
4y = 4*(-3/4)x + 4*3  ...... distribute
4y = -3x + 12 
4y + 3x = -3x + 12 + 3x .... add 3x to both sides
3x + 4y = 12

Answer: 3x + 4y = 12


If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?
increase by a factor of four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half

Answers

Let
x------------> length major side  parallelogram
y------------> length minor side  parallelogram
we know that 
[perimeter]=(2x+2y)
Po=(2x+2y)

If the dimensions of a parallelogram are increased by a factor of two
then
x1=2x
y1=2y
P1=2x1+2y1----------> 2*[2x]+2*[2y]--------> P1=2*[2x+2y]
P1=2*Po

the answer is 
the new perimeter increase by a factor of two

Answer:

increase by a factor of two

Step-by-step explanation:

Given that dimension of a parallelogram are increased by a factor of 2.

Let the sides of the parallelogram be l and w.

Then perimeter = 2(l+w)

When each side is increased by a scale factor of 2, we get new dimensions as

2l and 2w

Hence new perimeter = 2(2l+2w) = 4(l+w)

= twice as old perimeter

Hence increase by a factor of two

Need answers please:)

Answers

9a^3b^4 I think

Not sure...

Prove it is rational by writing it as a quotient of two integers. Please answer these problems, I need to check my answers. Ignore the blank ones, I was able to check them. Thank you!
1. 2.4

2. 74

3. 17.3333333…

4. π

5.

6. –18


7.

8. 87.125

9. –30

10. –8.3

11. 58.25

12. 121

13. 4.5

14.

Answers

1. 2.4 = 24/10

2. 74 = 74/1

3. 17.3333333… = 52/3

4. π - not rational

6. –18 = -18/1

8. 87.125 = 87125/1000

9. –30 = -30/1

10. –8.3 = -83/10

11. 58.25 = 5825/100

12. 121 = 121/1

13. 4.5 = 45/10

Most of the decimals can be reduced to lower terms by removing at least one factor of 2 or 5. If all you want is a ratio of integers, that is irrelevant.

HELP THIS IS URGENT HELLPP

Answers

Ok, so the key says 1cm=10mm. So you do 25x10=250cm, then do 250(the fish)-25(the guinea pig)= 225cm

Between which two consecutive integers does ???147 lie?

A.
146 and 148


B.
12 and 13


C.
11 and 12


D.
10 and 11

Answers

If those question marks are supposed to be a radical, then 12 and 13. The square root of 147= 12.12, which puts it between 12 and 13. 

The consecutive numbers where the square root of 147 will lie are between 12 and 13.

Consecutive numbers simply mean the numbers that follow each other. Examples of consecutive numbers are 2,3, 4.

It should be noted that the square root of 147 is 12.12. Therefore, 12.12 can be found between 12 and 13. In conclusion, the numbers will be 12 and 13.

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Which is the ratio for sin A, written as a fraction in simplest form?

Answers

When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:

 Sin(α)=Opposite leg/Hypotenuse
 
 You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16. 

 When you substitue these values, you have:

 Sin(α)=Opposite leg/Hypotenuse
 Sin(A)=8√3/16

 When you simplify, you obtain:

 Sin(A)=4√3/8
 Sin(A)=2√3/4
 Sin(A)=√3/2

 Which is the ratio for Sin(A)? 

 The answer is: The ratio for Sin(A) is √3/2
 

 

Answer:

√3/2

Step-by-step explanation:

800 hm = _____ cm

8
0.08
8,000,000
80,000

Answers

To solve this conversion factor problem we are going to multiply our original quantity 800hm by conversion factors (expressed as fractions) in order to cancel units until we get centimeters:
We know that 1 hectometer= 100 meters, so our first conversion factor expressed as a fraction is [tex] \frac{100m}{1hm} [/tex]
We also now that 1 meter = 100 centimeters, so our second one is [tex] \frac{100cm}{1m} [/tex]

Now that we have our fractions, lets multiply our original quantity by them to get our answer in the required units:
[tex]800hm( \frac{100m}{1hm} )( \frac{100cm}{1m})=8000000cm [/tex]

We can conclude that 800hm are 8,000,000cm 

Answer:

Exactly what they said (the answer is i bold at the bottom)

Step-by-step explanation:

Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights

Answers

I hope this is what you meant

One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?

Answers

The length is 5x
The width is x

5x+x+5x+x=72
12x=72
x=6

The length of the shorter side is 6 meters
Let's say that the length of the shorter side is x. The longer side is 5 times longer.
Equation: 
Step 1: x
Step 2: 5*x
Step 3: (5x*2)+(2*x)
Step 4: 10x+2x=72
Step 5: 12x=72
Step 6: x=6
So the answer is 6

What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9

Answers

Answer:

no solution :)

Step-by-step explanation:

Idek what this is plz help me :)))

Answers

"Solve for" means isolate, or get by itself. To isolate variables, perform inverse operations:

a.
3(2x - 1) + 2y = 5x
6x - 3 + 2y = 5x
x - 3 + 2y = 0
x - 3 = -2y
3 - x/2 = y
y = 3 - x/2

There - you've isolated y.

b.
600x + 200y = 500x
100x + 200y = 0
100x = -200y
x = -2y

And that's your isolated term for x.

Hope this helps. (:

Alice burned 320 calories at the gym. She burned 6 calories per minute on the treadmill and 10 calories per minute on the elliptical. Alice exercised for 45 minutes in all. How many minutes did she spend on the treadmill?

Answers

she worked out for 32  mins

Answer:

The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.  

Step-by-step explanation:

A bag contains 30 cookies: 6 vanilla, 12 chocolate, and 12 oatmeal. What is the probability that an oatmeal is randomly selected?
A) 1/4

B) 1/5

C) 1/6

D) 2/5

Answers

Option: (D). The Probability that an oatmeal is randomly selected is 2/5.

What is Probability?

Probability is Possibility. Probability deals with" an occurrence of an Random event. It values varies from 0 to 1".

According to the question,

Number of vanilla = 6

Number of chocolate = 12

Number of Oatmeal = 12

Formula for Probability of an event to occur P(E) = [tex]\frac{Number of favourable event}{Total Number of an event}[/tex]T.

Total number of an Outcomes = 30

P(E) = [tex]\frac{12}{30}[/tex]

=[tex]\frac{2}{5}[/tex]

Hence, The Probability that an oatmeal is randomly selected is 2/5.

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The probability of selecting an oatmeal cookie from a bag of 30 cookies (6 vanilla, 12 chocolate, and 12 oatmeal) is 2/5, which is answer choice D.

The student's question involves calculating the probability of selecting an oatmeal cookie from a bag containing multiple types of cookies. The total number of cookies is 30, comprising 6 vanilla, 12 chocolate, and 12 oatmeal cookies. To find the probability of selecting an oatmeal cookie, we use the formula:

Probability (selecting an oatmeal cookie) = Number of oatmeal cookies / Total number of cookies.

This gives us:

Probability (selecting an oatmeal cookie) = 12 / 30 = 2 / 5

So, the probability that an oatmeal cookie is randomly selected is 2/5, which corresponds to answer choice D.

What is -4 + 3/2= ?

Answers

-4 + 3/2=

Exact Form:

-5/2

Decimal Form:

-2.5

Mixed Number Form:

-2  1/2

Answer:

[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5

Step-by-step explanation:

So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.

[tex]-4+\frac{3}{2}[/tex]

-4 in fraction form is [tex]\frac{-8}{2}[/tex]

We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...

[tex]-4 = \frac{-8}{2}[/tex]

Now rewrite the equation now

[tex]\frac{-8}{2} + \frac{3}{2}[/tex]

Now simplify

-8 + 3 = -5

[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]

-5/2

This can be simplified to [tex]-2\frac{1}{2}[/tex]

Or to the decimal form which is -2.5

Make a conjecture about the position, size and shape of a figure if a composition of transformation included a dilation

Answers

If a dilation is included, then there should be a different size in the image as well as a reasonable scale factor.

what is the mean median and mode

Answers

mean-the average of numbers
to calculate add all the numbers and divide by how many numbers there are
4,600,000+4,500,000+4,000,000+4,600,000+10,200,000 and since there are 5 numbers divide that by 5


median-find the middle number
put numbers in order from least to greater and find the number in the middle
4,000,000x 4,500,000x 4,600,000 4,600,000 10,200,000x so your answer should be 4,600,000


mode-if a number appears more than once
4,600,000


PLEASE HELP ME PLSSSSSSSSSSSSS

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data. y = 3.4x + 43

According to the model, what is the average number of pizzas sold in one night if no coupons are issued?

Question 5 options:

A 43


B 0


C 11


D 21

Answers

the answer wolud be 43                                                                                   good luck

Answer:

option: A is correct.

Step-by-step explanation:

We are asked to find the average number of pizzas sold in one night if no coupons are issued.

i.e. we have to find the value of y such that x=0 i.e. no coupon was issued.

We are given a equation which represents the linear model for this data:

y = 3.4x + 43

where y denotes the average number of pizza sold and x denotes the number of coupons issued.

Hence when x=0 we have value of y from the above linear equation as:

y=3.4×0+43=0+43=43

i.e. y=43.

Hence, average number of pizzas sold in one night if no coupons are issued are 43.


a map is drawn with a centimeter representing 25 Miles. if the distance between two towns ia 3 centimeters on the map, what is the actual distance between the two towns?

Answers

25 miles * 3 cm= 75 miles
The answer is 75.
1cm=25miles
3cm=xmiles
Cross multiply to get x=75miles

What does X represent in this story;

• Diego has 24 ounces of juice. He pours equal amounts for each of his three friends, and then add six more ounces for each.

The equation is
3(x + 6)= 24

X= 2

I need to know what X represents.

Answers

Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.

What is polynomial expression ?

A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.

Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.

Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.

i.e, 3 (x + 6) = 24

3x +18 = 6

3x = 24- 18 = 6

x = 6/3 = 2.

Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.

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Final answer:

In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.

Explanation:

In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.

Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:

Multiply each side of the equation by 1/3 to isolate the term with x, yielding x + 6 = 8.Then, subtract 6 from each side to solve for x, resulting in x = 2.

This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.

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The three angle bisectors of ABC meet at P. Drag the vertices around to form different triangles, and then make a conjecture. Which segments appear to be equal in length? Check all that apply. XP = YP for an acute triangle XP = ZP for an acute triangle YP = ZP for an obtuse triangle ZP = XP for a right triangle XP = YP for an obtuse triangle Need the answer quick! Anyone know? Consider the polynomial: x/4 2x^5 + x^3/2 + 1 Which polynomial represents the standard form of the original polynomial? a.x^3/2 2x^5 + x/4 + 1 b.2x^5 + x^3/2 + x/4 + 1c. 2x^5 + x/4 + x^3/2 + 1d. 1 2x^5 + x^3/2 + x/4 how would I solve for x? Our turtle Adel walks 10 feet in 50 minutes. How fast is Adel travelling? Be sure to include the equation for speed in your answer. If a stimulus is to be percevied by the nueuron system, which part of the sensory pathway must occur first? Factor the quadratic equations W^2-W-12 write a thesis statement for your argument for online education The development of rice plantations in south carolina: a. required such large capital investments that carolina's planters never became as wealthy as those in the chesapeake region. b. used slaves from africa, who were partially immune to malaria. c. occurred only after the colony's planters unsuccessfully sought to cultivate tobacco, sugar cane, and indigo. d. is considered by most historians to be the most important cause of the yamasee war. e. would have proven impossible without the importation of thousands of european indentured servants to serve as a labor force. What is the relationship between an observation and an inference? A. An observation is fact, but an inference is only opinion. B. An observation can be proven or disproven, but an inference cannot. C. An inference is an attempted explanation based on observations. D. An inference is based on fact, but an observation is based on experimentation. From a vygotskian perspective, scaffolding serves what purpose in instruction? Write an expression for the following situation and solve it. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. What role do white blood cells perform in a human body? Billy left home at 9 am and rode his bike to the park at an average speed of 10 miles per hour. He arrived at the park at 9:30 am. How many miles from the park is Billys home? What is the correct way to punctuate the end of this quotation? Bin memorized the speech, but when he opened his mouth, all he could say was, Um, I dont remember A. , B. , C. . D. "? A 0.200 kg block of a substance requires 3.59 kJ of heat to raise its temperature by 20.0 K. What is the specific heat of the substance? A. 2,020 J/(kg * K) B. 383 J/(kg*K) C. 130 J/(kg * K) D. 897 J/(kg*K) Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefined slope. On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine burns out. The rocket's height, h, in feet above the surface of the lake, is given by the equation, h = -16t^2 + 64t + 80, where t is time in seconds. The maximum height of the rocket is _______ feet What is 4 equal parts The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school: High LowQ1 Q3 IQRMedianMean College505 7.5 15 7.5 11 13.8 6.4 HS 16 0 9.5 14.5 5 13 . 10.7 5.3 Which of the choices below best describes how to measure the spread of this data? (Hint: Use the minimum and maximum values to check for outliers.) (2 points) A:Both spreads are best described with the IQR. B:Both spreads are best described with the standard deviation. C:The college spread is best described by the IQR. The high school spread is best described by the standard deviation. D:The college spread is best described by the standard deviation. The high school spread is best described by the IQR.