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.

For more details about the making equation click the link given below.

https://brainly.com/question/9151865


Related Questions

why is number multiplied by it self called a square of a number

Answers

Answer:

Because it is 2 of the same number.

Step-by-step explanation:

Answer:

I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.

Step-by-step explanation:

I hope this helps. Have a good day! :)

Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?

Answers

Answer: 2:100

Step-by-step explanation:

I need 15. please its my last question and fast​

Answers

Answer: X(to the power of 0) over 3(to the power of 2)



Explanation: It is equal to 1/9

which is the graph of the exponential function y=8(5)^x?

Answers

Answer:

y=8(5)^(x)

Step-by-step explanation:

What is T?
3/8=t-1/8

Answers

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75

Answers

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

math help please! - ( 2/5 )

Answers

Answer:

D

Step-by-step explanation:

it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)

Answer:

d) subtract 15 from both sides

Step-by-step explanation:

Process of elimination:

a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.

b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.

c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.

That leaves us, with (d), because you need to subtract 15 to isolate "x".

Please show all work

Answers

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

The answer is B or d

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Answer:

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Step-by-step explanation:

24 boys out of 64 classmates is what percent

Answers

That would be 37.5 percent

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?

Answers

Answer: 27.5

Step-by-step explanation:

Answer:

it will cost $475

Divide. Round to the nearest tenth if necessary. 118.5 divided by 5​

Answers

Answer:

23.7

Step-by-step explanation:

urgent! please help!​

Answers

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

giving brainlist so plzzz help

Fill in the missing numbers in these equations.

(-7) x ? = 14

Answers

(-7) is the answer -7 x -7 = 14

Answer:

x=-2

Step-by-step explanation:

Divide 14 by -7, then plug in the result(-2) in place of x.  Run this new equation(-7*-2=14) through your calculator to be sure it's correct.

Write the hypothesis and the conclusion of each conditional.
1. If 3x-7 = 32, then x = 13.

Answers

Answer:

XDdddDddDDDDDDDDDDDDDDDDDDD

Convert 5/8 into a denominator of 100

Answers

U can use the cross multiplication to find out

5/8 = x/100

x=5/8 * 100

x= 62.5

Your final answer: 62.5/100

Hope this does it

P.S

Plz mark brainliest?

Who know this for my other math these plz

Answers

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16

Answers

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

Find the distance between the points.
(0,6) and (0,2)

Answers

Answer:

4

Step-by-step explanation:

Because the formula of distance I'd root under x2 - x1 and y2-y1 and the answer Is 4 units

If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°

Answers

288• Jesus loves you and so do I, accept him in you heart

Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers

Answers

220 papers

176 + 43 = 219
219 is closest to 220

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

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Answers

270 is most probably the answer

HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative

Answers

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero

The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?

Answers

Answer:

A = 5.5t + 9

Step-by-step explanation:

We assume that the relationship between t and A is linear.

We have two points on a line: (2, 20) and (4, 31).

We now find the equation of the line.

A = mt + b

m = (31 - 20)/(4 - 2) = 11/2 = 5.5

20 = 5.5(2) + b

20 = 11 + b

b = 9

A = 5.5t + 9

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Answers

55=18+0.004x
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Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

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What’s greater - 2/6 or - 3/8 or is it equal

Answers

Answer:

3/8 is greater

Step-by-step explanation:

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Answers

Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

You replace the m and b with the info given to you in the problem.

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Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.

Answers

Answer:

y = 1.37

Step-by-step explanation:

30y = 41.10

divide both sides of the equation by 30

30y/30 = 41.10/30

y = 41.10/30

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Answers

Answer:

6

Step-by-step explanation:

[tex]A=\frac{h_{b} b}{2}[/tex]

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