Help and show work plz

Help And Show Work Plz

Answers

Answer 1

Answer:

NQ=15, NP=20

Step-by-step explanation:

9/(2x+1)=12/(3x-1)

cross product

12(2x+1)=9(3x-1)

24x+12=27x-9

12=27x-24x-9

12=3x-9

3x=12+9

3x=21

x=21/3

x=7

NQ=2x+1=2(7)+1=15

NP=3x-1=3(7)-1=21-1=20

Answer 2

Answer:

x = 7

Step-by-step explanation:

Since the triangles are similar the ratio of the sides must be the same

AB           AK

------- = --------------

QN            NP

9                12

---------- = ------------

2x+1             3x-1

Using cross products

9(3x-1) = 12(2x+1)

Distribute

27x -9 = 24x +12

Subtract 24x from each side

3x-9 = 12

Add 9 to each side

3x = 21

Divide by 3

x = 7


Related Questions

A tailor cuts off a 2-meter long section from a 20-meter long piece of cloth every day. After how many days will he cut off the last section?

Answers

Answer: 10 days

Step-by-step explanation:

20/2 = 10

Answer18

Step-by-step explanation:

Use the clues in the sentences to determine the best meaning for each bolded word
"He was a tenacious worker, and by sticking firmly to his plan, he succeeded."
"Students planning to become scientists must select a science major, such as biology, chemistry, or physics."
"I want to take a class in calligraphy, or artistic writing, at the community center."
Done

Answers

Answer:

1.  Determined

2. area of study

3. artistic writing

Step-by-step explanation:

Hope this helps! <3

Answer:

✔ determined

✔ area of study

✔ artistic writing

Explanation:

can someone turn this into slope intercept form please ?? thank you .

Answers

Answer:

1) -1 - 0 fraction on top of -4 -3

Step-by-step explanation:

(x1,y1) and the second (x2,y2)

and the formula is x2- minus x1 over as ina fraction over y2- minus y1,,,, apply this to the other questions

Answer:

Hi there!!!

just use double point formula for the equation of st.line.

(i.e (y-y1 )= y2-y1/x2-x1 times (y-y1)

I hope the answers in the pictures will help you....

I am confused on this: "Find the area of a square with a perimeter of 20 inches"

Answers

Answer:

25 square inches

Step-by-step explanation:

A square has 4 congruent sides.

By knowing the perimeter of a square, you can find the length of a side.

perimeter = 4 * side

20 in. = 4s

s = 20 in./4

s = 5 in.

A side of this square measures 5 in.

Now we use the area formula to find the area of the square.

area = (side)^2

area = (5 in.)^2

area = 25 in.^2

Answer:

The area will be 25 inches.

Step-by-step explanation:

Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.

If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!

The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!)  by the number of sides you have, four!

Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.

So! 20 divided by the number of sides, 4, is five!

Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.

Hope you understand and this helps!

A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?

The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest

Answers

Answer:

Each column will be the same height.

Step-by-step explanation:

Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Each colum willl be the same heights

how many ways can you order a sandwich if you can order it with or without ham, mustard, mayo, or cheese?

Answers

There are an infinite amount of ways to order a sandwich without those items, but for the sake of this question let’s say... 100-200 different ways

Hope this helped
you can order it a lot of different ways because there are different ingredients that you can put on a sandwich that don’t have to be mustard, mayo, ham, or cheese because there a many different thing to put on a sandwich so therefore you answer is infinite


If two 4-sided dice were rolled, what
would be the probability of getting double
2s? Write your answer as a fraction.

Answers

Answer:

It’ll be a 1/8 chance

Step-by-step explanation:

Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance

The answer to that question is a 1/8 chance

Four representations of the same data are shown below. Verbal Description Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x. Equation y = x + 4 Table A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars. Graph Cell Phone Bill A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7). Which two representations are considered to be only partial representations? the equation and the verbal description the verbal description and the graph the table and the equation the graph and the table

Answers

Answer: D) the graph and the table

The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.

5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.

Answers

Answer:

10 gallons.

Step-by-step explanation:

A leaky faucet is losing water and;

filling a 7-gallon bucket  every 21 hrs.

So 7 gallons of water are leaked in 21 hrs

We are to find the number of gallons that will be leaked in 30 hrs.

Cross-multiplying this gives;

[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.

10 is the answer to the question

How many of the positive integer factors of 15552 are perfect squares?


Please show work, will mark brainliest if correct

Answers

Answer: 9 integers factors

Step-by-step explanation:

Let's first find the factor of 15552

15552 / 2 = 7776

7776 / 2 = 3888

3888 / 2 = 1944

1944 / 2 = 972

972 / 2 = 486

486 / 2 = 243

273 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

Some of the factors of 15552 are:

2×2×2×2×2×2×3×3×3×3×3

4×4×4×9×9×3

4^2 × 9^2 × 4 × 3

The factor that are perfect square are:

4, 9, 16, 36, 64, 81, 144, 576, 1296

Therefore, 9 of the positive integer factors of 15552 are perfect squares.

Answer:

9 of the positive integer factors of 15552 are perfect squares

Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10

Answers

Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

find the total surface area of this square based pyramid

Answers

Answer:

300 ft²

Step-by-step explanation:

Surface area= area of base + 4*area of triangle

a= 10 ft

h= 10 ft

Surface area:

10*10+ 4*1/2*10*10= 300 ft²

w is greater than -1 and less than or equal to 4
Use a only once in your inequality.

Answers

Answer:

-1 + w ≤ 4

Step-by-step explanation:

w is greater than -1 = -1 + w

Less than or equal to 4 = (anything less than or equal to 4)≤4

Answer:

[tex]-1<w\leq 4[/tex]

This shows that w is greater than -1 and less than or equal to 4

, through an inequality.

This is the greater than symbol: <

This is the less than or equal to symbol: [tex]\leq[/tex]

Hope that helped!!!

Name four fractions between 5/6 and 7/8

Answers

Answer:

101/120, 102/120, 103/120, and 104/120.

Step-by-step explanation:

First find the LCM of 6 and 8:24

So the two given fractions are 20/24, and 21/24

Since the the fractions will become decimals with the denominator 24, choose another denominator: 48

So the two given fractions are 40/48 and 42/48.

Even this denominator isn't possible so continue with different denominators.

As I notice, that each multiple increases by 1...

20-21, 40-42, 60-63, 80-84, and 100-105.

100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.

And the 2 given fractions are 100/120 and 105/120.

I hope this helps and plz mark me brainliest!!

The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.

For the given situation,

The fractions are 5/6 and 7/8.

The fractions between any two fractions can be obtained by adding them without considering the denominator.

Fraction 1:

[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]

⇒ [tex]\frac{6}{7}\\[/tex]

Fraction 2:

[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]

Fraction 3:

[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]

Fraction 4:

[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]

Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

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Cathy is paid at a rate of $7 20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during the week and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday. What is Cathy's hours in a fortnight

Answers

I think it’s 8 , I hope it’s right !

Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

Here is the calculation:

Cathy's basic pay for the fortnight is 7.2 × 70 = $504.

Her overtime pay for the week is (1.5 × 7.2) × 9 = $97.2.

Her weekend pay is (2 × 7.2) × 6 = $86.4.

Her total pay for the fortnight is 504 + 97.2 + 86.4 = $687.6.

Therefore, Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

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A teacher has 1,425 marbles to divide equally among 9 groups of students to use in an experiment. What is the least number of marbles he could have left after the marbles are distributed?

Answers

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

You first have to divide 1,425/ 9, you’ll later then get the answer of 158 with a remainder of 3, the three can’t be evenly distributed and so THE ANSWER IS 3

help me find VW and YZ

Answers

Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

VW=35
YZ=50 I believe this is the correct answer

What is the y-intercept of the function f(x) = -2/9x+1/3

Answers

Answer:

The y-intercept is 1/3.

Step-by-step explanation:

The equation given is in slope-intercept form. Recall that in slope-intercept form:

[tex]f(x)=mx+b[/tex]

m is the slope while b is the y-intercept.

Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.

the y intercept is 1/3. the function is in slope intercept form (y=mx+b) where m represents the slope and b represents the y-intercept. making b=1/3, meaning 1/3 is the y-intercept of the function

a grandfather purchased a brand new car in 1958 for ​$2500.the car depreciated ​$325 a year. what would the car be worth 4 years after it was​ bought?

Answers

Answer:

The car would be worth 1200.

Step-by-step explanation:

  Okay, the way to solve this type of question is quite simple,

you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.

The math: 2500-(325*4)=1200

The car would be worth 1200 dollars


so basically, we have $325 depreciated per year. We have 4 years of that, which means $325 yearly x 4 years = 1300. So the car lost 1300 dollars in value meaning that the car is now worth 1200.

Hope this helped!

Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?

Answers

Hey there! I'm happy to help!

In our problem, 100 is a certain percent of 80. When talking about percents, the word "is" means equals. Let's represent our certain percent with p and solve for it.

100=80p

Let's flip the equation around so p is on the left side.

80p=100

We divide both sides by 80.

p=1.25

As a percent, the increase is 125%.

Have a wonderful day!

The increase is 125 percent jehejsjsjshsvdhdjf

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.

Answers

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Required

Determine the number line

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Open the bracket

[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]

[tex]2x - 6 \geq 6x - 12 + 8[/tex]

[tex]2x - 6 \geq 6x - 4[/tex]

Collect Like Terms

[tex]2x - 6x \geq 6 - 4[/tex]

[tex]- 4x \geq 2[/tex]

Divide both sides by -4

[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]

[tex]x \leq -0.5[/tex]

From the list of given options, the correct answer is option C

Answer:

b

Step-by-step explanation:

If you're good at bearings pls help meeeeee

Pls show full working out ty

Answers

Answer:

201

Step-by-step explanation:

use the law of sines

sine B / b = sine C / c

sine 75 / 19.6 = sine C / 12.5

inv sine C = ( sine 75 * 12.5 ) / 19.6

C = 38

the bearing C = 180 + 59 - 38 = 201

201 is the answer! Hope I helped :D

Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.

Answers

Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

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A fortnight is 1/26 of a year. What part of a year is 8 fortnights?

Answers

Answer:

Isn’t it just 8/26

Step-by-step explanation:

Since 1 is 1/26 so 8 is just 8/26?

The part of a year is 8 fortnights is ( 8 / 26 ).

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics.

It is given that a fortnight is 1/26 of a year. The part of the year for 8 fortnights is calculated as:-

⇒ 8 x ( 1 / 26 )

⇒( 8 / 26 )

Therefore, the part of a year is 8 fortnights is ( 8 / 26 ).

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what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

the domain is all real numbers except for 1

Simplify.

sin x cot x

Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.

(please help, no idea how to solve this problem)

Answers

Answer:

cos x

Step-by-step explanation:

sin x = (sin x) / (1) and cot x = (cos x) / (sin x)

Put those fractions next to each other and multiply them out (numerator times numerator, denominator times denominator).

Cancel out the (sin x) in the numerator and denominator

You should be left with just (cos x) / (1), whoch equals just (cos x).

Hope this helps!

Cos x




My brother said that’s it

Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age?

Answers

Answer:

23 years old

Step-by-step explanation:

Savannah's age = x

Selena's age = y

Right now, x = 2y + 1

In 13 years, x = 1.5y

Here, we must use simultaneous equations to work it out.

x = 2y + 1

x + 13 = 1.5 x (y + 13)   --> x + 13 = 1.5y + 1.5 x 13   --> x + 13 = 1.5y + 19.5

x + 13 = 1.5y + 19.5

- 13

x = 1.5y + 6.5

x = 1.5y + 6.5 = 2y + 1

1.5y + 6.5 = 2y + 1

- 1

1.5y + 5.5 = 2y

- 1.5y

5.5 = 0.5y

x 2

11 = y

We know that y = 11

Savannah is currently twice her cat's age plus 1, so...

11 x 2 + 1 = 22 + 1 = 23 years old

Hope this helps!

P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)

Uhh I believe the answer is 23

If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?

Answers

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

m = 1 is the answer to your problem

Sue's ice cream has 6 more scoopsthan Tessa's ice cream cone.

Sue's ice cream cone has 9 scoops.

How many scoops are on Tessa's ice cream cone?​

Answers

Answer:

Tessa has 3 ice-cream scoops

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer

72-30=42. The answer is 42

Step-by-step explanation:

to find the area of this, we first need to add are to the missing space, so we can make a rectangle. If we multiply the dimension of this new shape, we get 72. Now we need to find the are of the triangle-shaped space I added. To do this I must multiply the base by the height, and then divide it by 2, after multiplying the base with the height, which gave me 60, I divided it by 2 which gave me 30. Then I subtracted 30 from 72, therefore giving me 42

Answer:

42cm2

Step-by-step explanation:

You can divide the shape into two parts from the length at the top and the length at the bottom. Which means you have two shapes A and B.

Area of A which is a triangle= 1/2bh

                                              = 1/2*5(THIS IS THE BASE OF THE TRIANGLE)12

                                              = 30CM2

Area of b which is a rectangle= L*W

                                                 = 1(LENGTH) * 12(WIDTH)

                                                 = 12CM2

So to get the total area of the shape you add the area of shape a and b

THE ANSWER IS 42cm2

Other Questions
Chris is a web designer and is bilingual in French. he was hired for this position because a large portion of the companies work is done in Africa where French is spoken. for which other career is being proficient in a second language an asset? prove that F=Gm1m2/d2 Howmight a sinus infection affect the rest of the respiratory system? (Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=75 and s =5. assuming normality, the 99% confidence interval for the population mean is:__________ If n is directly proportional to the cube of mand n = 27 when m=the value of n when m= 2.(ii) the value of mwhen n = 125 Guys I really need help with this question ): can someone give me the answer to this thanks Use the following information to calculate the dollar cost of using a money market hedge to hedge 200,000 British pounds of payables due in 180 days. Assume the firm has no excess cash. Assume the spot rate of the pound is $2.02, and the 180-day forward rate is $2.00. The British interest rate is 5 percent, and the U.S. interest rate is 4 percent over the 180-day period. Drag the correct tiles to the box. Not all tiles will be used. Identify the goods or animals that were introduced to Europe by the Americas.-potatoes-corn-pineapples-horses Allowance bank received a deposit of 28,000 and is free to lend out 25,480 what is the reserve rate? Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. What question does the equation 525=25(x-2) help answer? If an analyst wished to determine the degree to which leverage was being employed by a subject company, she would most likely examine that issuer's:______.a) sales to debt ratio. b) debt to equity ratio. c) current ratio. d) price to book ratio. Find the value of x. Reading glasses with a power of 1.50 diopters make reading a book comfortable for you when you wear them 1.8 cmcm from your eye. Part A If you hold the book 28.0 cmcm from your eye, what is your nearpoint distance The volume of a sphere is [tex]\frac{1}{162} \pi[/tex] cubic meters. What is the length of the spheres radius? In your final answer, include all of your calculations. T en la clase de ciencias con tu prima ngela? the textbook states that _________ is the foreground and _________ is the backdrop against which we can understand intercultural communication Read the excerpt from A Poem for My Librarian, Mrs. Long.Mrs. Long asking what are you looking for todayWhen I wanted Leaves of Grass or alfred north whiteheadShe would go to the big library uptown and I now knowHat in hand to ask to borrow so that I might borrowThe implicit details in this excerpt best support the conclusion thatMrs. Long feels angry about having to ask to borrow books.the speaker asks for books that were often difficult to find.the speaker appreciates the librarians efforts to get her books.young children are not allowed to borrow books on their own. What were some benefits of Athenian democracy? Have you watched a family drama or any other movie where a lack of communication or miscommunication caused a problem? If yes, recall the instances of the lack of communication or miscommunication and write a brief note explaining how failure to communicate effectively caused the misunderstanding or the problem. From the graph of Density vs. Concentration, created in Graph 1, what was the relationship between the concentration of the sugar solution and the density of the sugar solution?