Bill spent less than 26$ on a magazine and five books. The magazine cost 4$
Write an inequality to represent the situation. Be sure to define your variable.
Solve the inequality to find the maximum cost each book.

Answers

Answer 1

Answer:

24 dollars

Step-by-step explanation:

6$for each one if u multiply then you'll get the number

Answer 2

Answer:

$24.00

Step-by-step explanation:

hope i helped


Related Questions

Kendra is three times her daughter's age plus seven years Kendra is 49 years old write an equation to find her daughter's age

Answers

Answer: [tex]49 = 3x + 7[/tex]

Step-by-step explanation:

Let the daughter's age be x and Kendra's age be y , then from the first statement;

[tex]y = 3x + 7[/tex]

Since Kendra's age is 49 , substitute it into the equation , we have

[tex]49 = 3x + 7[/tex]

subtract t from both sides

[tex]49 - 7 = 3x[/tex]

[tex]42 = 3x[/tex]

divide through by 3

[tex]x = 14[/tex]

Therefore : the daughter's age is 14

Answer:

3x+7=49

Step-by-step explanation:

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix.

Represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups, in two different ways (table, graph, or equation)explain the variables

Answers

Answer:

[tex]y = \frac{1}{4}x[/tex]

x  y

4  1

8  2

12  3

16  4

Step-by-step explanation:

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes [tex]\frac{1}{2}[/tex] teaspoon of red pepper flakes to 2 cups of tomato mix.

So, the amount of tomato mix in cups is the independent variable represented by x and the amount of red pepper flakes in teaspoon is the dependent variable represented by y and the relation between them is given by y = kx, as the relation is proportional.

Now, putting x = 2 and y = [tex]\frac{1}{2}[/tex], we get

[tex]\frac{1}{2} = 2k[/tex]

⇒ k = [tex]\frac{1}{4}[/tex]

Therefore, the equation is [tex]y = \frac{1}{4}x[/tex] (Answer)

Now, in table the relation will be given by

x  y

4  1

8  2

12  3

16  4 (Answer)

The relationship between red pepper flakes and tomato mix can be represented by a table showing different quantities matching the ratio, and by an equation, p = (1/4) * t, which expresses the amount of red pepper flakes (p) needed for any given amount of tomato mix (t).

To represent the relationship between red pepper flakes and tomato mix which Angie uses to make her spicy salsa, we will use a table and an equation.

Table Representation:

Red Pepper Flakes (teaspoons)Tomato Mix (cups)1/22141 1/2628

In the table, the amount of red pepper flakes increases proportionally with the amount of tomato mix. This proportional relationship can also be represented numerically.

Equation Representation:

Let's define p as the amount of red pepper flakes in teaspoons and t as the amount of tomato mix in cups. The ratio given is 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix, which simplifies to 1/4 teaspoon per cup. Thus, the equation is:

p = (1/4) * t

This equation states that for every cup of tomato mix, you use 1/4 teaspoon of red pepper flakes. Therefore, if Angie has t cups of tomato mix, she will need p = (1/4) * t teaspoons of red pepper flakes.

The Indian Ocean is 2/10 of the area of the world’s oceans. What fraction represents the area of the remaining oceans that make up the world’s ocean? Wrote in simplest form

Answers

Answer I believe it would just be 8/10

Step-by-step explanation:

You have 2/10 of the worlds ocean which = Indian Ocean

So Your remaining ocean (10-2 = 8)

Also known as 8/10

The remaining oceans make up 4/5 of the world's oceans after subtracting the 1/5 that represents the Indian Ocean.

If the Indian Ocean covers 2/10 (or 1/5 when simplified) of the world's oceans, then the fraction representing the remaining oceans is found by subtracting this fraction from the whole (1, as the whole represents all of the world's oceans).

So, the calculation to find the fraction of the area of the remaining oceans would be:

1 - 2/10 = 1 - 1/5 = 5/5 - 1/5 = 4/5

Therefore, the remaining oceans make up 4/5 of the area of the world's oceans.

Ben works in a sandwich shop. On average, he makes 3 sandwiches every 10 minutes. If Ben works 6 hours how many sandwiches will he make?

Answers

Answer: 108

Step-by-step explanation:

18 sandwiches are mad every hour then multiply it by 6 .

The graph for the equation y=-2x+1 is shown below. If another equation is graphed so that the system has no solution, which equation could that be

Answers

y=-2x+3 (could be any y-int as long as it has the same slope)

This line is parallel to the original line so they never intersect

Therefore the answer is no solution

Answer:

B. y = -1/2 (4x + 2)

Step-by-step explanation:

your welcome :) and sorry that I'm a bit late

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F? Enter your answer in the box. ​ m∠F= ​ ° An irregular hexagon labeled ABCDEF with angle A parenthesis x minus sixty parenthesis degrees, angle B parenthesis X minus forty parenthesis degrees, angle C one hundred thirty degrees, D one hundred twenty degrees, E one hundred ten degrees, F parenthesis x minus twenty parenthesis degrees

Answers

Answer: [tex]m\angle F=140\°[/tex]

Step-by-step explanation:

The missing figure is attached.

You know that the sum of the interior angles of an hexagon is 720 degrees.

Based on that and given the figure attached, you can set up the following equation:

[tex](x-60)+(x-40)+130+120+110+(x-20)=720[/tex]

The next step is to solve for "x" in order to find its value. This is:

[tex]x-60+x-40+130+120+110+x-20=720\\\\3x=720-240\\\\3x=480\\\\x=\frac{480}{3}\\\\x=160[/tex]

Now you must substitute the valUe of "x" calculated above, into [tex]m\angle F=(x-20)\°[/tex]:

[tex]m\angle F=(160-20)\°[/tex]

Finally, evaluating, you get that the measure of the angle F is:

[tex]m\angle F=140\°[/tex]

Answer:

114 is the real correct answer

Step-by-step explanation:

May God Bless

If 2y + 6 = 1 −3y, then y = −−−−−−

Answers

Answer:

y = -1

Step-by-step explanation:

Add 3y to both sides:

2y + 3y + 6 = 1 - 3y + 3y

Simplify:

5y + 6 = 1

Subtract 6 from both sides to isolate the y value:

5y + 6 - 6 = 1 - 6

Simplify:

5y = -5

Divide by 5 on both sides to solve:

5y/5 = -5/5

Simplify:

y = -1

which inequality is equivalent to -m>_15

Answers

Answer:

m<=-15

Step-by-step explanation:

Shawn's father gave him $168. Shawn bought 10 books, each of which cost $10. How much money does Shawn have left?

will make brainliest

Answers

Answer:

68$

Step-by-step explanation:

cost of 10 book= 10$ * 10= 100$

now,

Remaining money= 168$-100$

                             =68$

Answer:

$68

Step-by-step explanation:

If each of the 10 books costs $10, you must multiply $10 x 10 to get $100. Then, you do $168 - $100 and get $68.

The first mechanic charged $95 per hours, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,000. How long did each mechanic work?

Answers

Answer:

Step-by-step explanation:

Let a represent the hours put in my mechanic 1 and b represent that of mechanic 2.

a + b = 25, i.e. a = 25 - b

95a + 70b = 2000

Let's substitute the value of a in the second equation

95(25 - b) + 70b = 2000

2375 - 95b + 70b = 2000

2375 - 25b = 2000

-25b = 2000 - 2375

-25b = -375

b = 375/25

b = 15hrs

If b = 15hrs,

a + 15 = 25

a = 10hrs

T=42-0.7t how fast did the temperature drop?

Answers

Final answer:

The given equation describes a linear relationship between temperature and time. The slope, -0.7, indicates that the temperature is dropping at a rate of 0.7 degrees per unit of time.

Explanation:

The equation given, T=42-0.7t, is in the form of a linear equation, y=mx+b, where T is the temperature in degrees Celsius, t is the time, 42 represents an initial temperature, and -0.7 is the slope representing the rate of temperature change over time.

In this equation, the slope, -0.7, tells us that the temperature is decreasing or dropping at a rate of 0.7 degrees per unit of time. This could be per minute, per hour, etc., depending on the context given.

Note that because the '-0.7' is negative, we know that the temperature is decreasing, or dropping, rather than increasing. If it were positive, it would mean the temperature is rising. Thus, when you're asked how fast the temperature is dropping, the answer based on this equation is that it's dropping at a rate of 0.7 degrees per unit of time.

Learn more about Rate of Temperature Change here:

https://brainly.com/question/11482539

#SPJ12

The temperature drops at a rate of 0.7 degrees per time unit, as indicated by the coefficient of t in the equation T = 42 - 0.7t.

The equation given, T = 42 - 0.7t, suggests a relationship between temperature (T) and time (t), where the temperature drops over time due to some cooling process, such as a cold front arriving. To determine how fast the temperature is dropping, we look at the coefficient of t in the equation, which is -0.7. This means that for every unit of time that passes, the temperature drops by 0.7 units. Thus, the rate of temperature drop is 0.7 degrees per time unit, assuming the temperature is measured in degrees and time in matching time units (likely minutes or seconds).

GIVING BRAINLIEST Consider these proportions: 3:7.5 4:10 5:12.5 6:15 Which of the following proportions belongs to the above set? A 1:2.5 B 2:4.5 C 7:12.5 D 8:20 a. A and B c. C and D b. B and C d. D and A

Answers

Answer:

3:7.5 = 1:2.5 = 2:5

4:10 = 2:5

5:12.5 = 10:25 = 2:5

6:15 = 2:5

A and D belong to this set:

A: 1:2.5 = 2:5

D: 8:20 = 2:5

Evaluate the expression when x=3 and y= -2

Answers

Answer:

-11

Step-by-step explanation:

To evaluate an expression with variables, replace the variables with what the question tells you to.

Replace "x" with 3. Replace "y" with -2.

-x + 4y

= -(3) + 4(-2)       Multiply 4 and -2 first to get -8

= (-3) + (-8)         Add normally. -3 + (-8) is the same as (-3) - 8.

= -11             Answer

Therefore the solution is -11.

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Answers

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

Answer:

-99

Step-by-step explanation:

you subtract by 6 every number.....

-3-6=-9

-9-6=-15

so on and so on until you get to the 20th term.....

Help help help help

Answers

Answer:

b=[tex]\frac{t-5}{4}[/tex]

Step-by-step explanation:

4b+5=t

First, you must get the variable alone! Substract 5 from both sides!

4b+5=t

    -5  -5

The 5 cancels out because 5-5=0

The new equation is 4b=t-5

You must divide by 4 to get the variable alone since your solving for b!

4b=t-5

4      4

b= [tex]\frac{t-5}{4} \\[/tex]

This is your answer!

start time 1:20 pm end time 2:00pm elapsed time​

Answers

Answer:

40 minutes

Step-by-step explanation:

Elapsed time = end time - start time

Elapsed time = 2:00 - 1: 20

Elapsed time = 40 minutes

Five percent is the same as 1:20?

Answers

No, The answer is 120%     and 0.5% = 0.05

Hope this helped!

BTW can I have brainliest

sixteen and two-tenth subtracted from two times a number

Answers

The required number is 18.

Step-by-step explanation:

Let the required number = x

To find, the required number = ?

According to question,

∴ 2x - 16 - 2 × 10 = 0

⇒ 2x - 16 - 20 = 0

⇒ 2x - 36 = 0

⇒ 2x = 36

⇒ x = 18

∴  The required number = 18

Thus, the required number is 18.

Answer: x=18

Explanation:


f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6, compare f(x) and g(x). Select the statement that is not correct?

A) Both functions have the same vertex.

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Answers

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

so

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

[tex]g(x)=2x^2+8x+6[/tex]

Find the vertex

Factor the leading coefficient

[tex]g(x)=2(x^2+4x)+6[/tex]

Complete the square

[tex]g(x)=2(x^2+4x+4)+6-8[/tex]

[tex]g(x)=2(x^2+4x+4)-2[/tex]

Rewrite as perfect squares

[tex]g(x)=2(x+2)^2-2[/tex]

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

[tex]0=2(x+2)^2-2[/tex]

[tex]2(x+2)^2=2[/tex]

[tex](x+2)^2=1\\x+2=\pm1\\x=-2\pm1[/tex]

so

The roots or x-intercepts are

x=-1 and x=-3

Verify each statement

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true  (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

Answer:

The answer is A

Step-by-step explanation:

3x^+7x-6 factor completely

Answers

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

Step-by-step explanation:

To find the factors of the equation,

1) Multiply the coefficient of the [tex]x^2[/tex] and the constant value.

⇒3×(-6)= -18.

2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.

⇒9 × (-2) = -18.

9+(-2)= 7.

Now spit the equation as[tex]3x^2+9x-2x-6[/tex].

=[tex](3x^2+9x)-(2x-6)[/tex].

=3x(x+3) - 2(x+3).

=(x+3)(3x-2).  (by taking out the common term x+3)

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

a food truck sells salad for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads ans drinks in one day was $836.50. How many salads were sold that day?

Answers

Answer:

93

Step-by-step explanation:

s= salads  d= drinks

$6.5s + $2d = $836.5

s + d =209

s = 209-d

6.5 (209-d) + 2d = 836.5

1358.5 - 6.5d + 2d = 836.5

-4.5d = -522

d = 116

s = 209 - 116 = 93

You invested into a content management company that specializes in peer to peer networks four years ago with a stock value
of $56.30 a share. Today, a single share of the company is worth $32.21. Given this information, determine the decay factor
for the four year period and round your answer to the hundredth place.
a 57.0
C. 570
b. 0.57
d. 1.57

Answers

Answer:

0.57

Step-by-step explanation:

56.30 divided by 1.57=32.21

Write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution. Solve your equation to show that the solution are the same.

Answers

Answer:

[tex]x = \frac{3}{5} \times \frac{5}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]

Step-by-step explanation:

We have to write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution.

Let the multiplication equation be, [tex]x = \frac{3}{5} \times \frac{5}{7}[/tex].

And the subtraction equation is, [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]

Now,  [tex]x = \frac{3}{5} \times \frac{5}{7} = \frac{3}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3} = \frac{16 - 7}{21} = \frac{9}{21} = \frac{3}{7}[/tex]

Therefore, in both the equations the solution is [tex]\frac{3}{7}[/tex]. (Answer)

Final answer:

Both a multiplication equation (½ * 2 = 1) and a subtraction equation (1 - ½ = ½) can be constructed to have the same solution, where the multiplication involves doubling the fraction and the subtraction involves a whole number minus the fraction.

Explanation:

Creating a multiplication equation and a subtraction equation with the same solution involves finding a common value that the operations can share. Here's a simple example:

Let's say we have the fraction ½. If we want a multiplication equation, we could multiply this fraction by 2 to get 1 (since ½ * 2 = 1).

Multiplication equation: ½ * x = 1, where x = 2.

For the subtraction equation, we consider the fact that subtracting 0 from any number leaves it unchanged. We can use this to our advantage by creating an equation where we subtract a fraction from itself:

Subtraction equation: y - ½ = ½, where y = 1.

By solving these equations, we can see they have the same solution:

½ * 2 = 11 - ½ = ½

Both equations simplify to the same value, demonstrating that multiplication and subtraction can indeed share the same result when formulated correctly.

The school that Julia goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 5 adult tickets and 13 child tickets for a total of $159. The school
took in $51 on the second day by selling 1 adult ticket and 5 child tickets. What is the price each
of one adult ticket and one child ticket?!​

Answers

We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.

Answer:

The price of 1 adult ticket is $11, while the price of one child ticket is $8.

Step-by-step explanation:

Let's identify what we already know:

1) On the first day of ticket sales, the school sold $159 worth of tickets.

2) On the first day, they sold 5 adults tickets, and 13 adult tickets.

3) The school sold $51 worth of tickets on the second day.

4) The school sold 1 adult ticket, and 5 child tickets.

Let's create two formulas:

(5 times x) + (13 times y) = $159

(1 times x) + (5 times y) = $51

Find two consecutive even integers such that the sun of the larger and twice the smaller is 62.

Answers

Answer:

20 and 22.

Step-by-step explanation:

Let the consecutive integers be a and b

Then b = a + 2

a is the smaller integer.

[tex]\begin{array}{rcl}2a + b & = & 62\\2a + a + 2& = & 62\\3a + 2 & = & 62\\3a & = & 60\\a & = & \dfrac{60}{3}\\\\& = & \mathbf{20}\\\end{array}[/tex]

a               = 20

b = 20 + 2 = 22

The two integers, in ascending order, are 20 and 22.

Check:

2(20) + 22 = 62

    40 + 22 = 62

             62 = 62

OK.

To the nearest minute, how long will it take to mow the lawn if 3000yd^2 can be mowed per hour? show your work.

Answers

Answer:

[tex]In\ 1\ minute\ lawn\ can\ be\ mowed=50\ yd^2[/tex]

Step-by-step explanation:

[tex]Given,\\\\In\ 1\ hour\ lawn\ can\ be\ mowed= 3000\ yd^2\\\\we\ know\ that\\\\1\ Hour=60\ minutes\\\\In\ 60\ minutes\ lawn\ can\ be\ mowed=3000\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ mowed=\frac{3000}{60}\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ moved=50\ yd^2[/tex]

In a class room of 30 students, 18 are female and 12 are male. If you randomly select one person, what is the probability you will select a female

Answers

There is a 60% chance that a female will be chosen .





18/30 = 0.60 .

Select all that apply.

What did scribes in medieval Europe do?

became nomadic preachers
copied books and other religious material
kept records and wrote about current events
preserved learning and libraries
developed a way to treat eyestrain

Answers

Final answer:

Scribes in medieval Europe had several important roles:

including copying books and religious material, keeping records and writing about current events,preserving learning and libraries.

Explanation:

Scribes in medieval Europe had several important roles:

They copied books and other religious material: Scribes were responsible for hand-copying books, particularly ones related to Christian theology, such as the Bible. They also copied classical Greek or Roman writings that would have otherwise been lost. These hand-copied books, known as illuminated manuscripts, were often beautifully illustrated.They kept records and wrote about current events: Scribes also played a crucial role in keeping records and documenting current events. They wrote about important historical and political events, as well as religious and civil information.They preserved learning and libraries: Monasteries, where many scribes worked, became major centers of learning in medieval Europe. Scribes helped preserve knowledge from the ancient world by copying and preserving books. They also contributed to the development of libraries.

Please Help !
TRYING TO MAKE HONOR ROLL

Which point represents the solution to the system of equations below ?

Answers

Answer:

I think its c. but i could be wrong

PLS HELP ASAP

Determine if the side lengths 9, 9, and 17 form a triangle. If it is a triangle, classify it by its sides.
It's not a triangle.
scalene triangle
isosceles triangle
equilateral triangle

Answers

Answer:

To find that a triangle can be made from these measurements you should know that the sum of two of its sides should be greater than the third side.

lets see if this rule applies...

9+9 = 18 ( greater that 17 ; its third side)

17 + 9 = 26 (greater than 9 ; its third side)

therefore, a triangle can be formed

as two of its sides are equal , it is an isosceles triangle

Answer:

isosceles triangle

Step-by-step explanation:

two of its sides are equal

Other Questions
PLEASE HELP ASAP (100 POINTS) AND OTHER STUFFRead each example and identify it with one of the mechanisms that influence gene pools.----- A zebra migrates to join a different herd of zebras.------ Competition for sunlight leads to taller trees. ------The DNA of a snake changes to make its venom stronger.------ A grassfire randomly sweeps through a population of buffalo and kills most of the animals.1.Genetic drift2.Gene flow3. Mutation4.Natural selection The year-end financial statements of Greenway Company contained the following elements and corresponding amounts: Assets = $23,000; Liabilities = ?; Common Stock = $5,300; Revenue = $11,600; Dividends = $900; Beginning Retained Earnings = $3,900; Ending Retained Earnings = $7,300.The amount of liabilities reported on the end-of-period balance sheet wasA. $11,200.B. $10,400.C. $13,800.D. $9,200. What is the present value of an annuity of $6,000 per year, with the first cash flow received three years from today and the last one received 25 years from today? Use a discount rate of 7 percent. There was a country concert held at the park. For every 4 men there were 5 women that went to the concert. If 81 people attended the concert, how many men and how many women each attended the concert? A box contains 5 blue pens and three black pens you chosse one pen at random do not replace it and then choose a second pen at random what is the probability that both pens are blue Describe a guild and the three steps you need to join PLEASE HURRY ITS URGENT Which word in this sentence is a preposition?I left my purse at the store. Write a limerick about the ocean Baxley Brothers has a DSO of 26 days, and its annual sales are $6,205,000. What is its accounts receivable balance? Assume that it uses a 365-day year. Round your answer to the nearest cent. 2y = 4-x = -3What is the solution to this system of equations? A city water district wants to encourage local businesses and homeowners to landscape with drought-tolerant plants. After disappointing results from a publicity campaign, the water district decides to subsidize local plant nurseries so they can offer the plants at a lower price.Suppose the graph shows the supply and demand curves for a drought-tolerant plant, such as purple sage. Drag the appropriate curve to show the impact of the water district subsidy. 21. Higher Order Thinking Amil and Aberode in a bike-a-thon. Abe rode for 77 minutesat a faster rate per mile than Amil. Find Amil'sunit rate. Then explain how you could use it tofind a possible unit rate for Abe.Amil rode 15 milesin 55 minutes. The age of Noelles dad is 6 less than 3 times Noelles age. The sum of their ages is 74 . Find their ages. At this party, a hypnotist is making the kids act like barnyard animals. Pete turns to his aunt and says, "Please! They are just acting this way because they think they are supposed to." Petes statement is most consistent with the ______ theory of hypnosis. Ammonia is oxidized to nitric oxide in the following reaction: 4NH3 + 5O2 --------> 4NO + 6H2O a. Calculate the ratio (lb-mole O2 react/lb-mole NO formed). b. If ammonia is fed to a continuous reactor at a rate of 100.0 kmol NH3/h, what oxygen feed rate (kmol/h) would correspond to 40.0% excess O2?c. If 50.0 kg of ammonia and 100.0 kg of oxygen are fed to a batch reactor, determine the limiting reactant, the percentage by which the other reactant is in excess, and the extent of reaction and mass of NO produced (kg) if the reaction proceeds to completion. Based on the transcript, what was Welles most likely trying to do through hisuse of the medium of radio?O A. Present a message about how trustful people are of mediaO B. Encourage the audience to buy a bookO C. Explain why a radio station was closingO D. Judge radio for adding no value to the world What is the name of the endocrine mode of reflex stimulation that releases hormone(s) due to direct stimulation from changing levels of nutrients or ions in the blood? Consider the following multistep reaction: C+DCD(fast) CD+DCD2(slow) CD2+DCD3Based on this mechanism, determine the rate law for the overall reaction. Explorers from which European country were the first to explore the west coast of Africa and eventually make their way past the cap of good hope to the Indian Ocean? Answers: A.Portugal B.spain C.England D.France E.Italy