Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.

Answers

Answer 1

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

Answer 2

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

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Related Questions

PLZ HELP RN. why do we learn about triangles before parallelograms?

Answers

Triangles have 3 sides, and 3 verti. and thats all  I know about triangles

Answer:

ok im not completely sure, but my best guess is that lots of properties that have to do with triangles and solving problems invloving triangles also apply to parallelograms, and solving the triangles gives a basic understanding of solving problems with polynomials

Step-by-step explanation:

PLEASE ANSWER. Its suppose to be really easy. I am in the middle of a test PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! I will give you more than 5 points!!

Answers

Answer:

[tex]8x+8[/tex]

Step-by-step explanation:

[tex]2((x-2)+(3x+6))=2(4x+4)=8x+8[/tex]

Can anyone help me with this and explain it too?

Answers

Answer:

(6, 3)

Step-by-step explanation:

[tex]Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)[/tex]

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment [tex]\overline{AB}[/tex] is the arithmetic mean of the x-coordinates of the endpoints of the segment  [tex]\overline{AB}[/tex]. Similarly, the y-coordinate of the midpoint M of the segment  [tex]\overline{AB}[/tex] is the arithmetic mean of the y-coordinates of the endpoints of the segment  [tex]\overline{AB}[/tex].

The profit a company urns every month depends on the amount of product sold, p, for $855 each and the amount spent in rent, utilities and other expenses, which always totals to $6,780. The CEO of the company earns 15% of this profit. How much does the CO heard if the company sells 250 products in a given month?

Answers

Answer:

CEO earns $31,045.5

Step-by-step explanation:

Price of each product = $855

Number of product sold = 250

Total revenue = price × quantity

= 855 × 250

= $213,750

Total expenditure = $6,780

Profits = Total revenue - Total expenditure

= 213,750 - 6,780

= $206,970

Profits = $206,970

The CEO of the company earns 15% of this profit

Amount CEO earns = 15% of $206,970

= 15/100 × 206,970

= 0.15 × 206,970

= $31,045.5

CEO earns $31,045.5

Write sec 325° in terms of the secant of'a positive acute angle.

Answers

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

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Which statement or statements accurately describe a good way to avoid excessive service fees? I. Try to deposit money in large batches rather than in small amounts. II. Try to limit the number of withdrawals you make from out-of-network ATMs. III. Try to avoid using your debit card online. a. I and II b. II only c. III only d. I and III

Answers

Answer:

Option B: II only

Step-by-step explanation:

Looking at the statements;

In statement I, whether making big at once or small deposits periodically, they have no impact in terms of charges from banks because banks don't charge any excessive fee for direct deposits.

In statement II, using out of network ATM would mean more excessive service fees. This is because your host bank which issued you the ATM card will charge you for using a non - network machine. In addition to that, the ATM operator where you are withdrawing from will also charge you a fee. This is double charge from 2 streams thus avoiding it will mean no excessive charges.

In statement III, some banks may or may not issue some fee for making online transactions with debit card depending on what exactly you want to do. However, it's just a small fee and thus, using it doesn't cause excessive charges.

Thus, the one to avoid will be statement II.

Answer:

its b

Step-by-step explanation:

thats all

What is the order of the following numbers from LEAST to GREATEST?

√8, 77/20, 39/25

Answers

Answer:

39/25, sqrt8, 77/20

Step-by-step explanation:

Answer:

39/25,√8, 77/20

Step-by-step explanation:

39÷25=1.56

√8=2.82

77÷20=3.85

Fergus Braune and get the social security benefit of $800 per month his wife receives a benefit equal to 50% of Ferguson's benefit if they take an additional $300 month from savings what will their monthly income be to the nearest dollar

Answers

Answer:

$1500

Step-by-step explanation:

Braune benefit=$800

Braune wife benefit=50% of Braune benefit i.e $400

Money taken from savings=$300

Total monthly Income=$800+$400+$300

=$1500

An absolute value inequality is a compound inequality. True or False

Answers

Answer : true

Step-by-step explanation:

If a rectangle has a width of 5 meters and a perimeter of 50 meters calculate the area.

Answers

Answer:

The area is 100m^2

Step-by-step explanation:

Answer:

100 m^2

Step-by-step explanation:

what is 0.285714 to the nearest hundredth​

Answers

Answer:

.29

Step-by-step explanation:

Answer: 0.29

Step-by-step explanation:

Look at the number in the hundredth place in this case 8 then look at the number after it in this case 5 if the number is greater than or equal to five then round up

Hope this helps

I NEED THIS ASAP PLZ
As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work

Answers

Answer:

822 hours

Step-by-step explanation:

the answer would be 821.95----- but rounded to hours, it is 822

HELP!!! What is the equation in point-slope form of the line that passes through point (2,-3) and has a slope of 4

Answers

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

what is 3+8+2
answer 4 points lol

Answers

Answer:

13 lol

Step-by-step explanation:

8 + 2 = 10 + 3 = 13

= 13

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(5,5), B(7,5), C(7,-1), and D(5, -1).
Given these coordinates, what is the length of side BC of this rectangle?
units

Answers

Answer:

The length of the side BC is 6 units

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to calculate the distance between B(7,5) and C(7,-1):

[tex]d=\sqrt{(7-7)^2+(5+1)^2}[/tex]

[tex]d=\sqrt{36}[/tex]

d=6

The length of the side BC is 6 units

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

Answer:

2 errors in step 3 -15 + 7 = -8 not +22

also a negative devided by a postive is a negative (the x on the last step)

Step-by-step explanation:

Solve for x in the equation x squared + 10 x + 12 = 36.
x = –12 or x = 2
x = –11 or x = 1
x = –2 or x = 12

Answers

it’s the first one

x = -12 or x=2

Answer:

x= -12 x=2

Step-by-step explanation:

Comparing pure water and a 0.10m glucose solution, which has the higher boiling point?

Answers

Answer:

what do you mean

Step-by-step explanation:

what is the slope of the line that passes through the points (-6,-7) and (-24,-7)? Write your answer in the simplest form.

Answers

Answer:

The slope calculator determines the slope or gradient between two points in the Cartesian coordinate system. The slope is basically the amount of slant a line has, and can have a positive, negative, zero or undefined value. Before we can use the calculator it is probably worth learning how to find the slope using the slope formula. To find the equation of a line for any given two points that this line passes through, use our slope intercept form calculator.

How to find slope

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.

Other related topics

Just as slope can be calculated using the endpoints of a segment, the midpoint can also be calculated. The midpoint is an important concept in geometry, particularly when inscribing a polygon inside another polygon with the its vertices touching the midpoint of the sides of the larger polygon. This can be obtained using the midpoint calculator or by simply taking the average of each x-coordinates and the average of the y-coordinates to form a new coordinate.

An internet service provider charges a $35 sign-up fee and $40 per month for an internet plan. Which representation shows the relationship between the number of months, x, and the total cost of the internet plan, y? What is it?

Answers

Answer:

Y= 35+40x

Step-by-step explanation:

You pay $40 a month. The total is Y. And the Beginning Fee is $35! Please mark me brainliest, and have a great day!

Answer:Y= 35+40x

Step-by-step explanation:

Walter is a botanist. He often needs to weigh parts of plants, such as flowers or leaves. Which of the following units would likely make Walter’s measurements easiest to read?

a.
tons
b.
pounds
c.
kilograms
d.
grams

Answers

I would say d. Grams.


Hope this helps.:)

The solution is: d. grams, is the unit that would likely make Walter’s measurements easiest to read.

Explanation:

The ton is the greatest of the units here.

The weight order of the units are

1 gram<1 pound<1 kg<1 ton.

flowers or leaves are generally very small in size so the best unit to measure the weight would be gram.

The weight in pound can be converted to gram as

1 pound =453.592 grams.

The weight in kg can be converted to pound as

1 kg = 2.2 pounds.

The weight in ton can be converted to kg as

1 ton = 1000kg.

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5% of what number is 300?

Answers

Answer:

6000

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

5% = 0.05.

0.05x = 300

divide both sides of the equation by 0.05

0.05x/0.05 = 300/0.05

x = 300/0.05

x = 6,000

Add: 3 3/8 + 7 3/4 !!!!!!!!!!

Answers

Answer:

179 /8 = 22.37500

Hope this helps!

HELP QUICK PLS WILL GIVE BRAINLIEST
It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.

Answers

Answer:  1407.5 hours

Step-by-step explanation:

 Okay so looking at the problem, the conversion factors we are going to need are from days to hours and from minutes to hours. Let's start with the days to hours first. If there are 24 hours in a day and we have 58 days then 24x58 would get us the hours that we need. So we would get 1392 hours. Add that to the hours already present and you get 1407 hours and 30 minutes. Since 30 minutes is half of one hour you can either use a fraction or decimal to give your answer: 1407.5 hours or  hours

At 12:00 P.M., the water pressure on a submarine is $435 pounds per square inch. From 12:00 P.M. to 12:30 P.M., the water pressure increases $58 pounds per square inch. From 12:30 P.M. to 1:00 P.M., the water pressure decreases $116 pounds per square inch. What is the water pressure at 1:00 P.M.?

Answers

Answer:

377 pounds

Step-by-step explanation:

435 + 58 = 493

493 - 116 = 377

4x+1+3=8 ayuden manden paso a paso

Answers

Answer:

x = 1

Step-by-step explanation:

Solve for x:

4 x + 1 + 3 = 8

Hint: | Group like terms in 4 x + 1 + 3.

Grouping like terms, 4 x + 1 + 3 = 4 x + (1 + 3):

4 x + (1 + 3) = 8

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

4 x + 4 = 8

Hint: | Isolate terms with x to the left hand side.

Subtract 4 from both sides:

4 x + (4 - 4) = 8 - 4

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

4 x = 8 - 4

Hint: | Evaluate 8 - 4.

8 - 4 = 4:

4 x = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 4 x = 4 by 4:

(4 x)/4 = 4/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

x = 4/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

Answer: x = 1

10^10•10^4 / 10^4
Look at the picture pls I don’t understand this at all

Answers

Answer:

10^10

Step-by-step explanation:

We can think of it like this:

(10^10)/1 times (10^4)/10^4

10^10/1 is the same as 10^10

(10^4)/10^4 is 1

10^10*1 is 10^10, which is 10000000000

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?

Answers

Answer:

$994.5

Step-by-step explanation:

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25.

Cost for 150 persons =

150 × $4.25 = $637.5

If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?

Percentage increase = Final value - Initial value /Initial value

56% = x - 150/150

Cross Multiply

0.56 × 150 = x - 150

84 = x - 150

x = 150 + 84

x= 234 people

56% increase means 84 extra people came

Total people that came = 234 people

From the question, we know that: per person food cost of $4.25.

Hence

1 person = $4.25

234 persons =

234 × $4.25

= $994.5

Therefore, the final food cost is $994.5

whole numbers are _____ Intergers​

Answers

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers

what is the slope of the line in the graph?​

Answers

Answer:

1

Step-by-step explanation:

The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1

Rise/run is the slope formula. 2/1 =2 3/2 4/3 and it keeps going
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PLZZ I NEED HELP ASAPPPPPPPPPP :) which two words from the passage are synonyms-Jada and Chantel ran through the down pour and into the house they still dripping onto the floor there would be no camp out tonight if the storm kept up A) downpour, stormB) downpour, drippingC) dripping, stormD) stood, ran What does Hektor realize in this passage?PASSAGE:And Hektor knew the truth inside his heart, and spoke aloud: No use. Here at last the gods have summoned me deathward. I thought Deiphobos the hero was here close beside me, but he is behind the wall and it was Athene cheating me, and now evil death is close to me, and no longer far away, and there is no way out - The Iliad of Homer how did composers in the Classical period make their music interesting despite its relatively limited harmonic vocabulary? A state containing several countries or territories is called? Which two statements are not true? find the solution for 2-x/3=5 read the text and give a short answer Should university be free for everyone? Talk about how this would affect our economy and job competition. If the 22nd Amendment were in place, how would it have affected the presidency during World War II? What did salutary neglect mean for the English colonies? The colonies were tightly controlled by the British empire. The colonies were free to do what they wanted as long as England was making money. The colonies were not allowed to set up their own governments. The colonies would had to pay France and Spain for protection. 7.The following is written in expanded notation.(1 x 1,000) + (7 x 10) + (6 x 1) + (1 x 160) + (4 x 1080)Write this number in standard form. To find the quotient of 8 divided by one-third, multiply 8 byOne-eighth.One-third.3.8. Michael says that the difference between danis and rajs age is proportional to danis age. Is Michael correct ? David is newly hired medical assistant at new hope clinic. during his second day on the job, he notice one of the other medical assistants slip a pharmaceutical sample box of a prescription antacid into his lab coat pocket before leaving for the day. David in unsure of what to do . law ethic both and i need a suggesions too please a help The standard format rules for a professional letter should be followed.TrueFalse List the six shifters (NPDs) of demand imagine yourself in a frozen forest Where does the threat to our world's ecosystems and quality of life come from? *5 pointsDemographic TransitionHuman PopulationMigrationCohorts What is the measure of each angle of a regular pentagon? Plz help