Mathematics Middle School

If x (x+y) = 27 and y (x+y) = 54, what is the value of (x+y)^2?

Answers

Answer 1

Answer:

9x^2

Step-by-step explanation:

It is given that:

x ( x + y ) = 27

If one manipulates the equation, by dividing by x, they get:

x + y = 27/x

It is also given that:

y ( x + y ) = 54

Again, manipulate the equation, only this time, divide by y,

x + y = 54/y

It is obvious that;

x + y = x + y

Yet this was proven;

x + y = 27/x

x + y = 54/y

Therefore, the following has to be true;

27/x = 54/y

To sove the proportion, use cross products;

27/x = 54/y

54x = 27y

Inverse operations:

54x = 27y

/27 /27

y = 2x

Substitute;

(x + y)

y = 2x

= (x + 2x)

= 3x

Now solve:

(3x)^2

9x^2

Answer 2

If x=27 and y=54, add them together then multiply by 2 and get 162

Related Questions

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the tenth year?

A). 2,048 bulbs

B). 1,024 bulbs

C). 40 bulbs

D). 32 bulbs

Answers

Answer:

I think it's A). 2,048

Step-by-step explanation:

I did the problem.

4 * 2 = 8 2nd year

8 * 2 = 16 3rd year

16 * 2 = 32 4th year

32 * 2 = 64 5th year

64 * 2 = 128 6th year

128 * 2 = 256 7th year

256 * 2 = 516 8th year

516 * 2 = 1024 9th year

1024 * 2 = 2048 10th year

If 2048 isn't correct, than the answer is B?. 1,024

The answer b I think or a

PLS HELP ASAP!! WILL GIVE BRAINLIEST!!! The temperature in New York City one early morning was -6ºF. At noon, the temperature was 36ºF.
Which expression represents the increase in temperature?
(A) -6 - 36
(B) -6 - |36|
(C) |-6| - 36
(D) |-6 - 36|

Answers

Answer:

(D) |-6 - 36|

Step-by-step explanation:

First, we should find the rise in temperature. -6 ia 6 away from 0. 36 is 36 away from 0. The change in temperature is 42ºF.

What I just did was find the absolute value of both numbers. Answer D Provides the absolute value of both 36 and 6.

|-6 -36| = |-42| = 42ºF change

This equation fits the change so it is the correct answer.

Work out the height of this triangle

b = 4.7mm

A= 107.16mm2

B=base

A=area

Answers

H=46 is the answe for this question

HELP ME PLEASE!!
Match Each expression to its equivalent expression!!

Answers

you need to combine like terms

To help, the first step is to reorganize the expressions:

$\frac{1}{3}x+\frac{1}{4} -\frac{2}{3}x$ is the same as $\frac{1}{3}x-\frac{2}{3}x+\frac{1}{4}$, just in a different order.

Now, combine like terms:

$\frac{1}{3}x-\frac{2}{3}x=-\frac{1}{3} x\\\frac{1}{4} =\frac{1}{4}\\$

$\frac{1}{3}x+\frac{1}{4} -\frac{2}{3}x=-\frac{1}{3}x+\frac{1}{4}$

I did this to find the other ones as well, if you need me to explain those specifically I'd be happy to!

Answer:

Step-by-step explanation:

A set of tiles, one of each of the 26 letters of the alphabet, are placed in a container. What is the probability of choosing first a vowel and then a consonant without replacing the first tile?

Answers

Five vowels

P(vowel)=5/26
P(Consonant)=20/25=4/5

There are 5 vowels. Hope this helped

Mr. Martinez is comparing the price of oranges from several different markets. Which market’s pricing guide is based on a constant unit price? a,b,c or d

Answers

Answer:

the answer is D

Step-by-step explanation: if you look at it the only answer that is changing by the same number consistently is the letter D. the rate is 3.00 for every 5 oranges

A rectangular flag is 60 centimeters by 96 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:6?

Answers

Answer:The dimensions of the scale drawing of the flag are 10 cm by 16 cm.

Step-by-step explanation:

The dimensions of a scale drawing of the flag are 10 centimeters and 16 centimeters.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The scale factor is 1/6.

A rectangular flag is 60 centimeters by 96 centimeters.

To find the dimension of new flag:

60 x 1/6 = 10 centimeters

96 x 1`/6 = 16 centimeters.

The dimensions of a scale drawing of the flag are 10 centimeters and 16 centimeters.

Therefore, flag's dimension are 10 centimeters and 16 centimeters.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ2

help with math homework chapter 1 practice

Answers

Answer:

Their is this website that has any basically every calculator on it and it show work. It is called "calculator soup"

view the imagine to get the answer

(Help asap!) Select Is a Function or Is not a Function to correctly classify each relation.

which one is a function and which is not?
{(3,2),(6,4),(9,6),(12,8)}
{(2,3),(2,5),(3,6),(9,4)}
{(2,4),(6,3),(4,8),(6,6)}
{(3,4),(5,2),(6,8),(6,4)}

Answers

{(3,2),(6,4),(9,6),(12,8)} is the function!

I don’t understand

1.42118863049 rounded to the nearest cent cant figure it out plz help ty :)

Answers

Answer:

1.4

Step-by-step explanation:

5 and above bump him up

4 and below, let him go

2 is below 4, so we dont round up. therefore it stays as 1.4 :))

Answer:
1.4
Explanation:
1 is the whole number. The next number which is the 4 is called a tenth. The next number (2) is in the hundredths place. It lower than 5 so it would wouldn’t round up.

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice

Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

This graph shows a proportional relationship between the number of cello players and the number of violin players in a music group. What is the constant of proportionality?

Answers

8

there are 8 violinists for each cellist.

ms. Washington teaches 145 students. 96% of them passed their test. How many passed?

Answers

The correct answer would be 139.9 but, you can't have a percentage of a person so, you would round that to 139.
Hope this helped

Select all of the prime numbers from the list that can divide the number 15 exactly.
A 2
B 3
C 5
D 7
E 11
F 13
G 17
H 19
I 23

Answers

Answer: B3 and C5

Step-by-step explanation: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers).

Mark me brainliest!

Answer:

B 3 and C 5

Step-by-step explanation:

Please help with this question please.

Answers

M < 7 is the answer because if m was equal to seven the equation would be 19 > 19 which cannot be correct so m must be less than 7

Option d. m>7 is the correct answer.

Given,

2m+5>19

or, 2m+5+(-5)>19+(-5) [adding both side with a negative number doesn't

change the inequality sign]

or, 2m>14

or, (2m/2)>(14/2) [also dividing both sides by a non-negative number doesn't change the inequality sign]

or, m>7.

Hence, m>7 is the correct answer to the given question.

Learn more about inequality problems,

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18 9/11+81 1/14+21 2/11+15 3/14

Answers

Answer:

954/7 or as a mixed number, 136 2/7

Step-by-step explanation:

Hello!

Answer:

$13\frac{2}{7}$

Step-by-step explanation:

Hope this helps!

How can I find the cube root of 64?

Answers

Answer:

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

To know more about cube root:

https://brainly.com/question/12105008

Which line plot displays a data set with an outlier?

Responses

An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.
Image with alt text: An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.

An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.
Image with alt text: An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.

An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.
Image with alt text: An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.

An untitled line plot from 10 to 19. The plot displays the following values as dots above the corresponding value on the number line. Three dots at 11. Three dots at 12. Three dots at 13. Three dots at 16. Three dots at 17. Three dots at 18.

Answers

Answer:

um im quite sure its the 2nd plot 10-21

Step-by-step explanation:

bc of ur description

solve -2 - 1 3/7
a.-3 3/7
b. 4/7
c. 1 3/7
d. 3 3/7

Answers

Answer:

Step-by-step explanation:

Answer:

- 24/7 Or In Proper Form -3 3/7

Step-by-step explanation:

Conversion a mixed number 1 3/

to a improper fraction: 1 3/7 = 1 3/

= 1 · 7 + 3/

= 7 + 3/

= 10/

To find a new numerator:

a) Multiply the whole number 1 by the denominator 7. Whole number 1 equally 1 * 7/

= 7/

b) Add the answer from the previous step 7 to the numerator 3. New numerator is 7 + 3 = 10

c) Write a previous answer (new numerator 10) over the denominator 7.

One and three sevenths is ten sevenths.

Subtract: -2 - 10/

= -2/

- 10/

= -2 · 7/

1 · 7

- 10/

= -14/

- 10/

= -14 - 10/

= -24/

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 7) = 7. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 7 = 7. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus two minus ten sevenths is minus twenty-four sevenths.

which expressions are a sum of two terms? selcet all the correct answers

Answers

Answer: C, D, and E

Step-by-step explanation:

Hope this helps!

(Creating Graphical Representations MC)

A random sample of 150 purchases from a particular pharmacy was taken. The type of item purchased was recorded, and a table of the data was created.

Item Purchased Health and Medicine Beauty Household Grocery
Number of Purchases 48 28 23 51

Which graphical representation would be best to display the data?
Box plot
Histogram
Stem-and-leaf plot
Bar graph

Answers

Answer:

bar graph

Step-by-step explanation:

An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?

Answers

Answer: $125

Step-by-step explanation:

1/80=x/10,000

10,000/80=125

Hope this helped!

Answer:125 yen

Step-by-step explanation:
Ratio and proportion

Ratio=1:80=x:10,000

x represents dollars which is unknown

1/80=x/10,000

Then you cross multiply

80x=10,000

80x/80=10,000/80

x=125

Therefore,$125 will give you 10,000yen

What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

** explain like why you did each step im hella confused thanksss

Answers

Answer:

Hey There!

Let's solve....

Isolate for x first which is

$x = \frac{3 + 3y}{4} \\ $

$substitute \: x = \frac{3 + 3y}{4} \\ \\ \brack \: 5 \times \frac{3 + 3y}{4} - 4y = 3 \\ \\ $

Now simplify...

$ \brack \: \frac{15 - y}{4} = 3 \\ \\ = y = \frac{15 - 3}{4} \\ \\ = \frac{12}{4} \\ simplify \\ \\ \frac{ \cancel{12} ^{3} }{ \cancel{4}^{1} } \\ x = 3$

Y=3

We need to find value of y first... now x

$x = \frac{3 + 3 \times 3}{4} \\ \\ =x = \frac{3 + 9}{4} \\ \\ = x = \frac{12}{4} \\ simplify \: \frac{ \cancel{12}^{3} }{ \cancel{4} ^{1} } \\ \\ value \: of \: x = 3 $

I hope it is helpful to you...Cheers!_____________

Answer:

x = -1.3

I hope this is right, and I am sorry if this is wrong if it is! I rlly hope this helps you out and you can understand my method and the way I typed this!!

Step-by-step explanation:

We are going to use one of my fav methods! The substitution method!

Set this aside for now: 4x - 3y = 3 We gonna use this one: 5x - 4y = 3

5x - 4y = 3

= 5x - 3 = 4y

( also, the subtraction is with the 4y as a negative, so 4y would be positive if you moved it!)

Divide all of the equation by 4!

y = $y = \frac{5x - 3}{4}$

Now, you take take the other equation and substitute the y with what you have above!

$4x - 3 times \frac{5x - 3}{4} = 3$

you cross multiply 4( the denominator) with the other side that has only a three!

4x - 3 $times 5x - 3$ = 12

4x - 15x - 3 = 12

-11x - 3= 12

Move the three to the other side become positive!

-11x = 15

divide both sides by -11

x = -1.3

At a bus station, The buses leaving for Lewes and eastbourne both leave together at 8 a.m. following this, the bus to Lewes leaves every 20 minutes and the bus to eastbourne leaves every 25 minutes. At what time will the buses next be leaving at the station at the same time?

2. Trevor has a box with four cards in it. Each card has a different number on it. Trevor picks three cards, multiplies the numbers together and then places them back into the the box. He repeats this and records his results below.

first: 360 second: 280 third: 315

Give convincing reasons for what the four different numbers on the cards could be.

Im being lazy and I have a huge and important test tommorow so I don't have time to do this and solve it. pls help :(((

Answers

Answer:

I think maybe 10 am

Step-by-step explanation:

so first off what you want to do is do 20, 40,60 1:20 1:40 or however you want to write it until the numbers are the same 10 am might not be correct but that's what I got for doing the question in this way

The answer would be 10am

2.159e45 in scientific notation please help

Answers

2.159 • 10⁴⁵

you move the decimal point until you get a one digit decimal.

Compare the two numbers below. 6.4395 64.395 Which of the following is true about the underlined numbers?
a.The 3 in the first number is 1/10 of the value of the 3 in the second number.
b.The 3 in the first number is 1/100 of the value of the 3 in the second number.
c.The 3 in the first number is 100 times bigger than the 3 in the second number.
d.The 3 in the first number is 10 times bigger than the 3 in the second number.

Answers

Answer: option 1

Step-by-step explanation:The value of digit in the hundreds place in the number 653,841 is 8 hundreds = 800

According to the question, we have to find a number whose the value of digit in the thousands place is 800.

Let us consider the first number which is 748,917

The value of digit in the thousands place = 8 thousands = 8000

Let us consider of the number 8000

= 800 which is the value of digit in the hundreds place in the number 653,841.

Therefore, 748,917 is the required number.

So, Option 1 is the correct answer.

It D because it make more Sense

Can you guys please help no point stealing or links or I will report

Answers

Answer:

1. b 2. d

Step-by-step explanation:

if you do the work those are the answers

Hey have a nice day today

pls ill give brainelist

Answers

Answer: The answer is B

Answer:

the answer would be B)

Step-by-step explanation:

Steel sheeting costs 2¢ per square inch. How much will David spend to build the model out of steel? Write your answer as a dollar amount.

Answers

how much will david be using?

How must is he gonna use?

You exercise for 34 of an hour. You jump rope for 13 of that time. In simplest form, what fraction of the hour do you spend jumping rope?

Answers

Answer:

You spend 1/4 of the hour jumping rope. The question states that 1/3 of 3/4 of an hour is spent jumping rope.

Step-by-step explanation:

Answer: You spend 1/4 of the hour jumping rope.

Step-by-step explanation:

The question states that 1/3 of 3/4 of an hour is spend jumping rope

To find this, multiply 3/4 by 1/3

3/4 times 1/3 = 3/12 = 1/4

So one third of 3/4 is 1/4

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A man and woman, both of normal vision, have: 1) a color-blind son (#1) who has a daughter of normal vision 2) a daughter (#1) of normal vision who has one color-blind son and one normal vision son 3) another daughter (#2) of normal vision who has five sons, all with normal vision What are the probable genotypes of the grandparents (man and woman), the children (son #1, daughters #1 & 2) and the grandchildren?5. Coat color in cats is a codominant trait and is also located on the X chromosome. Cats can be black, orange or calico. A calico cat has black and orange splotches. In order to be calico. the cat must have an allele for the black color and an allele for the orange color. Use a punnett square to show why there are no male calico cats.6. A female calico cat is crossed with a male black cat. What are the phenotypes of the offspring and in what proportion? How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. A green card means move forward 2 spaces. An orange card means move 8 spaces backward. A purple card means move forward 10 spaces. a 14-year-old girl who is a vegetarian has recently developed anemia. blood smear results show large, fragile, immature erythrocytes. she claims to take an iron supplement regularly and is surprised to learn that she is anemic, as she is otherwise healthy. as the nurse considers all of the data in the case, which anemia will the nurse discuss when collaborating with the primary healthcare provider? Solve the system below by elimination:3y + 2x = 65y - 2x = 10Solution: x= [a], y = [b]PLEASE HELP ME plastics use must be abolished in the country write for or against the motion Required Information [The following information applies to the questions displayed below.] Following are transactions of Danica Company. Decenber 13 Accepted a 39, 5ee, 45-day, 8x note in granting Miranda lee a tine extension on her past-due account receivable. becenber 31 prepared an adjusting entry to record the accrued interest on the Lee note. Complete the table to calculate the interest amounts at December 31 st and use the calculated value to prepare your joumal entrr. Do not round your Intermedlate calculations. Round "Total Interest" answers to nearest whole dollers. Use 360 days a year.) Complete this question by entering your answers in the tabs below. Complete the table to calculate the interest amounts at December 31 It. Complete this question by entering your answers in the tabs below. Jse tha calculated value to prepare your journal entries. Journal entry worksheet 2 R.4cend acceptance of a 59.500,45-dak, 896 note in granting Mirande tee o time extension on her past-dve scoount receivable. Use the calculated value to prepare your journal entries. Journal entry worksheet Prepare an adjusting entry to record the accrued interest on the Lee note. Notel Enter debits before credits. Select the correct text in the passage.Identify which of the following sentences describes the working of a piezoelectric gauge. TRUE / FALSE.The following poetic stanza is an example of "Coplas" Give yourself pleasure, my love, for I'd give myself some. Don't let it happen that someday music class the pleasure changes to tears.