John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its width. He will spend $1,584 on fencing for the field at a cost of $4.80 per meter. He also needs to buy sweetgrass seed to plant in the field. The seed costs $3.98 per bag and each bag covers 460 square meters. If John has $1,600, is this enough money to purchase the fence and all the seeds needed to plant in this field?

Answers

Answer 1

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

Answer 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80


Related Questions

Help Please
find the solution to this system of equations

Answers

Answer:

-8x + 4y = 24 ----> 2x - y = -6

-7x + 7y = 28 ----> -x + y = 4

-------------

x = -2, y = 2

X= -2 y= 2 is the answer

please help my grade in math is an F

Answers

Answer:

12

Step-by-step explanation:

So our equation is:

(7x+5)+(5x+3)+(12x-20) = 276

First remove parenthesis:

7x+5+5x+3+12x-20=276

Combine like terms:

24x-12 = 276

Add 12 on both sides:

24x = 288

Divide:

288/24 = 12

Compare the two groups of data. Which statement is true?
A. On average basketball players are 4 inches taller than baseball players
B. On average basketball players are 9 inches taller than baseball players
C. On average basketball players are 2 inches taller than baseball players
D. On average basketball players are 3 inches taller than baseball players

Answers

Answer: A

Step-by-step explanation:

If you graph the difference, it is 4 inches since you are looking at the middle of the graph

Your answer would be A. On average basketball players are 4 inches taller than baseball players

Which number describes the median of the data given in the table?
Responses
A 24.224.2
B 2323
C 2222
D 2828
Question 2
Which number describes the range of the data given in the table?
Responses
A 66
B 2323
C 2222
D 28

Answers

The number which describes the median of the data given in the table is 23. option B.

The number which describes the range of the data given in the table is 6. Option A.

What is the median and range of the data given in the table?

Arrange the average gas mileage in ascending order

22, 22, 23, 26, 28

The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.

The median is 23

Hence, the range of the data set refers to the difference between the highest and lowest data.

= 28 - 22

= 6

Read more on median and range:

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The figure shows a parallelogram inside a rectangle outline:

What is the area of the parallelogram?

1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answers

Answer:

11 over 25 square foot

Step-by-step explanation:

11 over 25 square feet

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084

Answers

Answer: 3,380

Step-by-step explanation: THIS IS MY GUESS.

Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.

Answer 3380
Explanation
We will find the ratio of 54 36 and 60 which is 9:6;10
So now total attendance is 8450.
So 8450 * 6 / 15= 3380

Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
Responses
A 39.139.1
B 44.044.0
C 39.039.0
D 35.235.2
E 39.2

Answers

Answer:

 

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

Work out the area of the trapezium
(some please help, i forgot how to do this )

Answers

Answer:

48cm

Step by step:

The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.

Answer:

The area of the Trapezium is 48cm².

Step-by-step explanation:

A trapezium has a pair of Parallel Lines.

Let’s mark the line that is on the top as A and the bottom one as B.

Length of line A (Base 1) = 7cm

Length of line B (Base 2) = 9cm

Height of Trapezium = 6cm

Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height

                                                 = {( 7cm + 9cm ) / 2} * 6cm

                                                 = ( 16cm / 2 ) * 6cm

                                                 = 8 cm * 6cm

                                                 = 48cm²

The area of the Trapezium is 48cm².


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1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm?

Introduction to Perimeter & Area of Polygons

Answers

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

PLS HELP MEEE All of the number sentences are true except.

7 3 = 343
4 2 = 16
6 3 = 18
11 2 = 121

Answers

Answer:

I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!

The answer is 6 3= 18

7x7x7=343
4x4=16
6x6x6=216
11x11=121

Can someone help on my last question please?

Answers

Answer:

ight im on it

Step-by-step explanation:

What was the other question ?

pls help its over due

Answers

Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.

___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.

Answer:

The correct answer is 7

Identify all of the quadratic functions

Answers

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1

The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:

All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)

a
All teachers in the school

b
All boys in each grade

c
All students in the speech club

d
All students in each grade

Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)

a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school

b
Yes, it is a valid inference because he asked all 26 students in his science class

c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class

d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
A researcher posts a magazine advertisement offering $30 in exchange for participation in a short study. The researcher accepts the first three people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)

a
It is not a valid sample because it is not a random sample of the population.

b
It is a valid sample because the first three people were selected to participate.

c
It is a valid sample because money was offered to participants.

d
It is not a valid sample because it is only a short study.

Answers

Answer:

Q1: D

Q2: D

Q3: B

Step-by-step explanation:

Q1: It says it in the question.

Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.

Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.

D, D,B, that’s what I think is right

100 PTS PLS HELP PLS PLS PLS PLSPLSPLPLSSPLSPLSLS

Answers

Answer:

D

Step-by-step explanation:

Lets go through each answer choice and check if it is correct.

A: False. 50% of 70 is not 31.

B: False. 17% of 70 is not 17.

C: False. The fraction 8/70 does not simplify to 2/25.

D: Correct. The fraction 14/70 simplifies to 2/10.

Answer:

The answer is D, On average, 2 out of 10 adults visited the museum most frequently.

Step-by-step explanation:

You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.

Which cube is a unit cube? A. a cube that is 3 meters long,3 meters wide,and 3 meters high b. a cube is a. that is 9 inches long,9inches wide,and 9 inches high c. a cube that is 1 yard long,1 yard wide, 1 yard high. d. a cube that is 11 centimeters long, 11 centimeters tall ,and 11 centimeters high ​

Answers

Answer:

C. A cube that is 1 yard long, 1 yard wide, 1 yard high

Step-by-step explanation:

A unit cube has a volume of 1 cubic unit.

This means that the length, width, and height are all 1 unit.

Answer choice C is the only one that has a cube with the length, width, and height at 1 unit.

This means it is a unit cube because the volume will be 1 cubic unit.

So, C is the correct answer.

Answer:

Step-by-step explanation:

wow

What could thy answer be?

Answers

Answer: 36

Step-by-step explanation:

There are a total of 36 numbers, you can find that out by multiplying 6 x 6.

There is only 1 number pair can has a sum of 2 which is 1,1

Answer = 1,1 since 1,1 is the only pair that is able to add to become 2.

use the "Dividing polynomial box method" to solve the problem below".

Answers

Answer:

divide x^2+x-8 to x-4

Step-by-step explanation:

I was gonna answer but theres already an answer haha

Which of the following is a statistical question that can result in numerical data?

How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?

Answers

Answer: First, Second and Third.

Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.

The students can do 10 miles each week.

Your grandparents could have 20 pets.

The data can be plotted into a graph and this would count as statistical/numerical data.

Heather deposits $7000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?

Answers

Answer:

year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $7000.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:

The interest is: $420.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 7000.00 + 420.00 = 7420.00. For example:

If you borrowed the $7000.00, you would now owe $7420.00

If you loaned someone $7000.00, you would now be due $7420.00

If owned something, like a $7000.00 bond, it would be worth $7420.00 now.

420 dollars in 3 years

Find the surface area of the square pyramid shown. Label the net to help you.


I have to show work

Answers

Answer: 40 inches squared

Labels are in the pictures

Step-by-step explanation:

To find the surface area, find the area of each side.

Square (base) : side * side = 4*4 = 16

Triangle (sides) : (base * height)/2

Assuming each side is a isosceles triangle, the base 4/2 = 2

(2*6)/2 = 12/2 = 6

Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.

6*4 + 16 = 24+16 = 40

The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8

Answers

Answer: 8 people will go to e

Step-by-step explanation: it goes in order

8 goes to each I’m pretty sure

Cube Roots of Negative Numbers.
Thank you!♡

Answers

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST


1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm

Answers

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

E e. E e e e er e. E. E. E e e e e e enenendind d. Basically luffy’s Brain is dying

WILL MARK BRAINLYEST PLSSSSSSSSSSSSSS
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Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.




Drag and drop the fractions into the boxes to correctly complete the table.

Answers

Terminating decimal- 15/40 12/30, the other two r repeating decimals

HELPP PLEASE!!!!!!

The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 2 at least once.

The probability?

Type an integer or a fraction

Answers

In the table, there are 16 possible outcomes shown. We want to find the outcomes that have at least one “2” in them. There are 4 outcomes with a “2” in them in the column of 2, and in the row of “2” there are 3 more outcomes. (excluding the outcome we already counted)
This means there are 7 outcomes that have at least one “2” in them, and there are 16 total outcomes.
That means the probability of the spinner landing on 2 at least once is 7/16.

100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!

Answers

Answer: x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees.

This means that

x+(2/3)x=18


The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.

Answer:

x=108 degrees

Step-by-step explanation:

We know that since ST is a line, it equals a total of 180 degrees.

Let's write an equation:

[tex]180=x+\frac{2}{3}x[/tex]

simplify

[tex]180=\frac{5}{3} x[/tex]

divide both sides by 5/3

108=x

So, x=108 degrees.

Hope this helps! :)

The stem-and-leaf plot below shows the percentage scores on a recent sixth-grade science test.

Use the stem-and-leaf plot to determine the mode of the test scores.

Answers

If 8 | 2 = 82%, then the mode is 74%.

7 | 4 appears the most often.

HELPP!!

The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.

The probability is?

Type an integer or a fraction

Answers

Answer: 7/16

Step-by-step explanation:

Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.

Write each expression without the absolute value symbol. |7-(12-x)|

Answers

The expression without the absolute value symbol is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

What is the absolute value function?

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.

The expression for this problem is given as follows:

7 - (12 - x).

The critical value of x is obtained as follows:

7 - (12 - x) = 0

7 - 12 + x = 0

x = 5.

Hence the expression is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

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Help pleeeeaase!! Marking most Brainly A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car. 3.5 m = ______cmPLEASE HELP ME!!!!!!! Why is it important to be a good digital citizen? 2-3 sentences What would you do if you were god for a day? ( ) plss helpp Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income from interest is $4,700. Find the amount invested at each rate. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!! simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. If LO=30,LO=30, find LN.LN. Explain how Martin Luther King, Jr. is being honored in Africa. Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger). Find the main idea of this text Manson still wasn't connected to the Tate-LaBianca murders until family member Susan Atkins, who'd confessed to being connected to the Hinman murder, told other women in jail that she was involved in the two massacres. Suddenly, the evidence started to make more sense. All of the family members who'd participated in the murders were already in jail it was simply a matter of building the case against them. Another dog could do about one hundred and fifty thingsis this a compound sentence Work out51.43% of 377.59cmGive your answer founded to 2 DP What does a net price calculator tell a student?Why is this information helpful?What information does a net price calculator notinclude?PLEASE HELP DUE IN 5 MINUTES!! MonuExploring DecimalsWhat is this number in standard form?(7 x 100) + (4 x 100 ) + (8 x1,000)Enter your answer in the box. I NEED HELP ON THIS QUESTION ^^^^! How do popular institutions shape or drive communications?