a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?

Answers

Answer 1

9514 1404 393

Answer:

85 ones70 fives15 tens2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

85 ones70 fives15 tens2 fifties

Related Questions

PLEASE HELP! I WILL GIVE BRAINLIEST AND 100 POINTS! FIVE QUESTIONS!

1. A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?w

2. The average height of a female giraffe is 4.6 meters. What is her height in centimeters?

3. The capacity of a beaker is 0.1 liter. Convert this to milliliters.

4. A pig weighs 9.8 pounds. Convert the pig’s weight to ounces.

5. A marker is 0.13 meters long. What is the length in millimeters?

Answers

1. 65000 g
2. 460 cm
3. 100 ml
4. 156.8 oz
5. 130 mm

Answer:

65000 g 460 cm100 ml156.8 ounces130 mm

Step-by-step explanation:

1. A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?

65 kg = 65*1000 g = 65000 g

2. The average height of a female giraffe is 4.6 meters. What is her height in centimeters?

4.6 m = 4.6*100 cm = 460 cm

3. The capacity of a beaker is 0.1 liter. Convert this to milliliters.

0.1 l = 0.1*1000 ml = 100 ml

4. A pig weighs 9.8 pounds. Convert the pig’s weight to ounces.

9.8 pounds = 9.8*16 ounces = 156.8 ounces

5. A marker is 0.13 meters long. What is the length in millimeters?

0.13 m = 0.13*1000 mm = 130 mm

math, pls help, will mark brainlest

math, pls help, will mark brainlest

Answers

Answer:

Step-by-step explanation:

3x + 3x equals 11x

find the slope and y-intercept.

Answers

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

Slope of 4.y-intercept of 4.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

m = 4.b = 5.

Missing Information

The problem asks for the slope and the intercept of y = 4x + 5.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.

The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below

sea level.

Answers

Answer:

21 above is the answer

Step-by-step explanation:

4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)​

Answers

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

What’s 8^2x4^2 please help lol

Answers

Answer:

1024

Step-by-step explanation:

8^2=8x8=64

4^2=4x4=16

64x16=1024 :)

Answer: 1024

Step-by-step explanation: 8^2 times 4^2=80. When you square a number, you multiply it by itself. So, 8^2 = 8 times 8 which equals 64. 4^2 = 4 times 4 which equals 16. 64 times 16 = 1024.

Write an equation in point-slope form of the line that passes through the point (0,-2) and has a slope of -1/2

Answers

Answer:

y - 2  = -12(x - 0)

Step-by-step explanation:

-4 is greater than of equal to x - 11

Answers

Using the inequality rule we know that 11 is greater than -11, (11 > -11).

What is an Inequality Equation?

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality.

Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.

So, let's say the inequality equation looks like this: A

Right now, A is valued at

Let p be used to representing the initial number.

P equals 11, so

Let q be used to representing the second number.

Q has a value of -11.

-11 and 11 are both numbers that are greater than zero.

Then, 11 > -11 ... (1)

A has a value of 11 > -11.

Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).

Know more about Inequality here:

brainly.com/question/11897796

#SPJ1

Correct question:
Is 11 greater than, equal to, or less than -11?

Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value

Answers

Answer:

0.0336

Step-by-step explanation:

the hint says so

According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.

How to find the p-value of a test?

It depends on the test statistic z, as follows.

For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.

In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.

The test statistic is z = 1.83, which has a p-value of 0.966.

1 - 0.966 = 0.034.

Hence, the approximate p-value for Fay's test is of 0.034.

You can learn more about p-values at brainly.com/question/13873630

I need help with this I will I’ve you Brainiest if right

I need help with this I will Ive you Brainiest if right

Answers

Answer:

The answer is J: 1/2

Step-by-step explanation:

The answer would be 1/2, or 50% because there are 4 tiles and 2 tiles are vowels. Hamda would have at least a 50% chance of picking it.

what is 3/2 divided by 1/8

helppp​

Answers

Answer: 12

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Answers

Answer:

The range of values from one job is between $50 and $650.

Step-by-step explanation:

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.

This means that his earnings in a job can be modeled by the following function:

\(y = 30x + 50\)

The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Minimum, he works 0 hours, and earns:

\(y(0) = 30(0) + 50 = 50\)

Maximum, he works 20 hours, and earns:

\(y(20) = 30(20) + 50 = 650\)

The range of values from one job is between $50 and $650.

Select all that apply.

Which symbols could be used to make the following statement true?

|-8| ___ |8|


>
<

=

Answers

Answer:

Only '=' symbol.

Step-by-step explanation:

-->  |-8| this indicates 'absolute value' in which the sign is ignored. So |-8| is actually 8.

--> |8| (absolute value of 8), is 8 itself.

--> So we can conclude that |-8| = |8|

log19(53.875) to base 10

Answers

Log base 19 of 53.875 is approximately 0.97212 when converted to base 10.

To convert log base 19 of 53.875 to base 10, we can use the formula:

log base b of x = log base a of x / log base a of b

where a: current base and b: desired base.

So, in this case, we want to convert log base 19 of 53.875 to base 10. We can use the formula above with a = 19 and b = 10:

\(log base 10 of 53.875 = log base 19 of 53.875 / log base 19 of 10\)

Log base 19 of 10 is equal to 1/log base 10 of 19, since the logarithm of 10 to any base is equal to 1. Using a calculator, we can determine that the log base 10 of 19 is roughly 1.278753.

Substituting:

log base 10 of 53.875 = log base 19 of 53.875 / 1.278753

To find the value of log base 19 of 53.875, we can use a calculator to evaluate log base 19 of 53.875, which is approximately 1.244036.

Substitute to equation:

log base 10 of 53.875 = 1.244036 / 1.278753

Simplify to get:

log base 10 of 53.875 = 0.97212

Learn more about log here:

https://brainly.com/question/15673235

#SPJ1

HELP ASAP
I NEED HELP

HELP ASAP I NEED HELP

Answers

Answer:

1;27

Step-by-step explanation:

Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?​

Answers

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Which of the following tables represents a linear function?


x −2 −1 0 1 2
y 5 2 1 2 5

x −2 −1 0 1 2
y 5 3 1 −1 −3

x 3 3 0 3 3
y −2 −1 0 1 2

x 0 1 2 3 4
y 0 −1 2 −3 4

Answers

The slope at the different sections in table 2 will be constant. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope of the linear equation will be constant throughout.

Let's check option B, then we have

m = (3 - 5) / (- 1 + 2) = (- 3 + 1) / (2 - 1)

- 2 = - 2

The slope at the different sections in table 2 will be constant. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:The answer is b

Step-by-step explanation:B

Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet

Answers

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ1

Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5

How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions ​

How many solutions does this system have? no solutions one unique solution O O two solutions O or an

Answers

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

82
R5
6
,92 5
4 8
12
12
0

82R56,92 54 812120

Answers

Answer:

  see below

Step-by-step explanation:

The first subtraction has a zero result (blue) from the thousands digit, so we know the dividend has 4 in that place. The 5 in the 1s place of the dividend is brought down to fill the space on the bottom line. 6 goes into that number 0 times, so the final quotient digit is 0.

  4,925 = 6×820 +5

or

  4,925 ÷ 6 = 820 r5

82R56,92 54 812120

consider the equation 36+ =6(6+5)

Answers

Answer:

36+30 = 6(6+5)

Step-by-step explanation:

We just simply expand the brackets:

6×6=36

6×5=30

30+36=76

so 76-36=30

So the missing number was 30

Both historical and feminist criticisms look for repeated words and ideas. are concerned with language and form. seek to understand the role of gender in a text. connect literature to the society it was written in.

Answers

Answer:

d) connect literature to the society it was written in

Step-by-step explanation:

i did the test

Both historical and feminist criticisms D. connect literature to the society it was written in.

Historical criticism involves the provision of historical evidence to examine the literary context of a work. It provides facts about the author's life, showing the historical circumstances that surround the author.

On the other hand, feminist criticism develop and discover female writings to interpret their symbolism in the light of male-dominated points of view. Some notable feminist criticism includes "Thinking About Women" (1968) by Marry Ellman, "Sexual Politics" (1969) by Kate Millet, and "The Female Eunuch" by Germaine Greer.

Historical and feminist criticisms do not:

Look for repeated words and ideasRemain concerned with language and formSeek to understand the role of gender in a text.

Thus, both historical and feminist criticisms connect literature to society.

Learn more: https://brainly.com/question/16052066

Review the Monthly Principal & Interest Factor chart to answer the question:


FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27


Determine the percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR. Round the final answer to the nearest tenth.
31.0%
31.1%
59.0%
68.5%

Answers

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

How is this so ?

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

Learn more about percentage decrease:
https://brainly.com/question/30404835
#SPJ1

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

What is the difference between a short term savings account and a long term savings account?

Answers

Answer:

takes advantage of compounding

Step-by-step explanation:

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a diamond or 7?

Answers

the probability that the card you select is a diamond or 7 is 4/13

WHAT IS PROBABILITY ?

Mathematical representations of the likelihood of an event occurring or of a proposition being true are dealt with in the area of probability. A number between 0 and 1 represents the likelihood of an event, with 0 roughly denoting impossibility and 1 representing certainty.

CALCULATION

Lets take diamond first total diamonds are 13 and total cards are 52 So prob is 13/52 which is 1/4

Lets take 7s

total 10s in the deck is 4 (one in each suite) (one in each suite)

Prob of 7s is 4/52 which is 1/13

Final answer =1/13+1/4=17/52 Total prob is addition of above two as it is "or."

Because the prob of the 7th diamond has been inserted twice, edit it as follows: 17/52-1/52=16/52=4/13

learn more about probability here :

brainly.com/question/11234923

#SPJ10

Use the table to find the products od the two polynomials. Write your answer in descending order l.

Use the table to find the products od the two polynomials. Write your answer in descending order l.

Answers

Answer:

To use the given table to find product of the two polynomials.

Given that,

\((x^2+x-2)(4x^2-8x)\)

Explanation:

Using the table, we get it as,

we get,

\((x^2+x-2)(4x^2-8x)=4x^4-8x^3+4x^3-8x^2-8x^2+16x\)\(=4x^4-4x^3-16x^2+16\)

we get,

\((x^2+x-2)(4x^2-8x)=4x^4-4x^3-16x^2+16\)

Answer is:

\((x^2+x-2)(4x^2-8x)=4x^4-4x^3-16x^2+16\)

Use the table to find the products od the two polynomials. Write your answer in descending order l.

re.
2. Find the perimeter of the figure.
Each unit is 1 centimeter.

re.2. Find the perimeter of the figure.Each unit is 1 centimeter.

Answers

Answer:

25

Step-by-step explanation:

Count all the squares on the edge.

Answer:

29cm

Step-by-step explanation:

re.2. Find the perimeter of the figure.Each unit is 1 centimeter.

How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30

find the volume​

How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30 find

Answers

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The value of y varies directly with x. When the value y is ⅗, the value of x is 0.125. What is the value of x when the value of y is 12?

Answers

Answer:

x = 2.5

Step-by-step explanation:

y varies directly with x means the times that y increases, the times x increases and vice versa.

If y increases from 3/5 to 12 is being increased:

12 / 3/5 = 20 times

Thus, the value of x is being increased by definition, also 20 times. The value of x is:

x = 0.125 * 20 = 2.5

x = 2.5
Other Questions
You were charged $51.50 last month for data usage on your smartphone. Your data plan charges a monthly fee of $20 plus $2.50 for each extra gigabyte (GB) used. How many extra gigabytes did you use last month?Enter a unit that best describes the number. 12. Choose the answer that best matches the word in italics. (1 point)The suspects eluded the police for almost 24 hours.O acknowledgedO deniedO escapedO hindered??? What mrp term is defined as being difference between the gross requirements and the currently available inventory?. Question is in the image below If you are paid $234.56 for 20 1over2 hours of work, what amount should you be paid for 30 hours of work at this same rale of pay?You should be paid S) for 30 hours of work(Round to the nearest cent as needed.) Which of these is true of the Roman road system?1. Augustus had all Roman roads paved with marble.2. Improving the roads helped the Roman Empire to grow.3. The road system provided easy access for enemies to invade Rome.4. Roman roads were built only during times of peace. Scientists can infer the diet of an extinct animal by analyzing the _____ of fossilized bones and teethchemical signature Why is understanding human nature important? The fight or flight response that is caused by stress causes many physical symptomsa) Trueb) False What can you do now to prepare to have a healthy relationship?A. Spend all your time with friendsB. Stop participating in activities you loveC. Develop good self esteemD. Pretend to like things you don't really like A(n) _____ essay primarily educates readers about a topic.BEING TIMED 9. We saw an interesting documentary on ...... life.a. salineb. caninec. maritimed. marine10. Teenagers are often more likely to be influencedby their ...... than their elders.a. peersb. subjectsc. lonersd. adolescents What is the spoil system and was it good for the country Find angle ABH please please in a ____ of stock, all of the shares issued may be held by a small number of institutional investors. group of answer choices shelf placement private placement market placement public placement The length of a rectangle is 4 centimeters longer than the width of the rectangle. The perimeter of the rectangle is 88 centimeters. What us the area of the rectangle, in square centimeters? Read the excerpt from Fast Food Nation.The strict regimentation at fast food restaurants creates standardized products. It increases the throughput. And it gives fast food companies an enormous amount of power over their employees. When management determines exactly how every task is to be done . . . and can impose its own rules about pace, output, quality, and technique, the sociologist Robin Leidner has noted, [it] makes workers increasingly interchangeable. The management no longer depends upon the talents or skills of its workersthose things are built into the operating system and machines.The testimonial evidence in this excerpt is effective because itmakes an emotional protest against the fast food industrys treatment of employees.includes an expert opinion supporting the claim that the fast food industry resembles the manufacturing business.describes a personal experience of what it is like to work in a fast food restaurant.provides a technical explanation of the standardized procedures and equipment used in fast food restaurants. How was iambic pentameter used in Shakespeare's plays? Find the value of Z z if X = 19, = 22, and o = 2.6 A -1.15 B 1.15 C -27.4 D 71.4 Given A RST , with altitude SU drawn to its hypotenuse,ST = 15, RS = 36, andRT = 39