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.
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
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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Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices
an = 9n + 6
an = 6n + 15
an = 6n - 15
an = 9n – 6
======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
--------------
As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
what is the slope of the line represented by the equation y+2x=4
a. -2
b. 2
c. 4
d. 1/2
Donald buys 2.4 pounds of breaded chicken and 4.1 pounds of fried chicken. What is the
total cost?
roast chicken - $5/lb
breaded chicken - $4/lb
sauteed chicken - $7/lb
curried chicken - $5/lb
fried chicken - $10/lb
Answer: The answer is $50.60
Step-by-step explanation:
1. Multiply 2.4 * 4 =$9.60
2. Multiply 4.1*10 = $48
3. Add $9.60+$48= $50.60
Javier has a cell phone plan that allows him to use up to 4 gigabytes (GB) of data per month. Streaming videos is the only action he does on his phone that uses up this data. Each time he streams a video, the number of gigabytes of his phone's data plan dec
Answer:
d=4-0.004m
Step-by-step explanation:
i did it on khan academy
plz help
which equation represents a line that is perpendicular to the line on the graph?
A) y=-4x+3
B) y= -1/4x+1
C) y=-1/x-2
D) y= 4x+4
===================================================
Explanation:
The given visual line has a slope of -1/4. We can see this by starting at (0,2) and we do two things
a) move down 1
b) move over to the right 4
This leads to slope = rise/run = -1/4
Once we find the slope of the original line, we take the opposite reciprocal. This is also called the negative reciprocal. So we'll take the reciprocal of -1/4 to get -4/1 or just -4. Then we flip from negative to positive.
In short we flip the fraction and the sign. That has us go from -1/4 to 4.
The original slope is -1/4. The perpendicular slope is 4.
Side note: multiplying any two perpendicular slopes leads to -1. Neither line can be vertical.
--------------------------
So we found the slope of the perpendicular line to be m = 4.
We don't know which point the perpendicular line goes through, so theoretically we have infinitely many equations to pick from. They are all in the form y = 4x+b. Note how I replaced m in y = mx+b with 4.
So our answer will be in the form y = 4x+b. Choices A through C don't fit the description. Only choice D does. So choice D is the answer.
With y = 4x+4, the slope is 4 and the y intercept is 4.
Please help me i will mark you brainliest
y = -11x2 – -52 or y = -5.5x – 52
A construction company orders tile flooring for the kitchen and three bathrooms of a new home. The kitchen floor measures 48 square feet. Two bathrooms have floors that each measure square feet. The third bathroom floor measures square feet. If the tile costs $2.39 per square foot, what's the least amount of money, to the nearest cent, the company spends on tile for all three bathrooms
Step-by-step explanation:
The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.
For the two bathrooms, the total area will be 2*24 = 48 square feet
Since the third bathroom measures 18 square feet, the total square feet for the 3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft
If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:
1 sq. ft = $2..39
64sq.f = $x
Cross multiply:
1*x = 2.39* 64
x = $152.96
Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.
Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.
Which numbers below are solutions to the inequality 4y+3≤−7?
Answer:
answer is in picture
Step-by-step explanation:
- Which expression is equivalent to the given expression? 2(3a + 2b ー 7) *
Answer:
6a+4b-14
Step-by-step explanation:
this is the answer
helpp ill mark u as brainlist
Answer:
Assuming you want slope formula for this, it's y= (5/9)x -1
A type of superglue has a density of 0.86 g/mL. What is the mass of a 150 mL sample of this glue?
Answer: 129g
Step-by-step explanation:
The formula to calculate mass is given as:
m = d × v
where,
m = mass
d = density
v = volume
Mass = dv
Mass = 150 × 0.86
Mass = 129g
Answer:
Step-by-step explanation:
A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
78
Step-by-step explanation:
Answer:
i need a photo
Step-by-step explanation:
I do not understand this
Answer:
It would be C. The hexagon.
Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon
Step-by-step explanation:
your brother is 1/2 your age.your sister is 5 years older than your brother . your sister is 15 years old write and solve an equation to find your age x
pls help me I will mark brainleyest
Which is equivalent to
Answer:
-12
Step-by-step explanation:
-36 divided by 3 = -12
help me with this please
Answer:
26
Step-by-step explanation:
square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26
Answer:
26
Step-by-step explanation:
2(square root of 81)+square root of 64
2(9)+8=
18+8=
26
Bruce takes out a personal loan of $1,000 to go on a trip to Florida. His loan has an annual compound interest rate of 10%. The loan compounds once each year. When you calculate Bruce's debt, be sure to use the formula for annual compound interest. A = P (1+StartFraction r Over n EndFraction)nt Bruce borrowed $1,000 for his trip. If Bruce waits for five years to begin paying back his loan, how much will he owe? $1,251.10 $1,310.21 $1,610.51 $1,810.71
Answer: He will owe $1610.51 .
Step-by-step explanation:
Given: Loan amount (P)= $1,000
Rate of interest (r) = 10% = 0.10
Number of years (t)= 5 years
n= 1 (will pay once in a year)
Formula: [tex]A= P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]A=1000(1+0.10)^5[/tex]
[tex]=1000(1.10)^5\\\\=1000(1.61051)\\\\ =1610.51[/tex]
Hence, He will owe $1610.51 .
Answer:
1610.51 $
Step-by-step explanation:
Given that each unit on the map represents 5 miles, what is the actual distance from Oceanfront to Seaside?
Answer:about 40 miles
Step-by-step explanation:
Ok im tired of asking this
Ok i need both questions
Answer:
Answer 1:
5/8 = 2.5/4 so its 2.5 months
Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.
Step-by-step explanation:
1/4=2/8, so continue that on until you get the answer.
5/8÷1/4
5.8·4/1=
20/8=2.5
9/16=
9÷16=
0.5625
4(2-3x)+2=38-2x
I need help asap
Answer:
= −14/5
Step-by-step explanation:
= − 14/5 cause that's what I think it is also I solved it and this is what I got
Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)
Answer:
(0, 1)
Step-by-step explanation:
The formula is pretty straightforward you just need to plug in the numbers you have
A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?
Answer:
rounded to the nearest hundredth its 46.21
Step-by-step explanation:
trust im smart
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
Learn more about linear equation here
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What is an equation that is equivalent to -3/4x+1/8=-3/8?
Also the / is not a division symbol. The numbers with a / are fractions.
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$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.
Which of the following expressions represents the amount of interest earned on the money invested at 6%?
a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)
Answer:
B
Step-by-step explanation:
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away, the mean of the remaining two scores would be 83.5 points. If the lowest score is taken away, the mean of the remaining two scores would be 89 points. What is the highest score?
Answer:
The highest score is 94.
Step-by-step explanation:
Let the highest score be denoted by, A, the lowest score be, B and the middle score be X.
Then,
A + X + B = 87 × 3 = 261 ...(i)
X + B = 83.5 × 2 = 167 ...(ii)
⇒ B = 167 - X ...(iii)
A + X = 89 × 2 = 178 ...(iv)
⇒ A = 178 - X ...(v)
Substitute (iii) and (v) in (i) and solve for X as follows:
A + X + B = 261
178 - X + X + 167 - X = 261
345 - X = 261
X = 84
Substitute the value of X in (iii) and solve for B as follows:
B = 167 - X
= 167 - 84
= 83
Substitute the value of X in (v) and solve for A as follows:
A = 178 - X
= 178 - 84
= 94
Thus, the highest score is 94.
Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.
Write the equation for finding the total cost of
a one-year swim pass.
Answer:
you pay 240 dollars a year
Step-by-step explanation:
y=20x
x is 12
20*12=
240
Answer: $250
Step-by-step explanation:
A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
Answer:
80 kilometers