The length of the rectangle is 56.9 unit and the breadth of the rectangle is 25.9 unit.
Area of the rectangle is 1473.7 sq. unit.
Given, a rectangle's length is 5.1 more than 2 times its width.
Its perimeter is 165.6.
Let the length of the rectangle be l,
breadth of the rectangle be b.
According to the question,
l = 5.1 + 2b
Using the formula of Perimeter,
Perimeter = 2(l + b)
165.6 = 2(5.1 + 2b + b)
165.6 = 2(5.1 + 3b)
82.8 = 5.1 + 3b
3b = 77.7
b = 25.9
Now, l = 5.1 + 2(25.9)
l = 5.1 + 51.8
l = 56.9
So, the length of the rectangle is 56.9 unit
and the breadth of the rectangle is 25.9 unit
Now, the area of the rectangle be,
Area = l×b
Area = 56.9×25.9
Area = 1,473.71
Area of the rectangle = 1473.7 sq. unit
Hence, the length of the rectangle is 56.9 unit and the breadth of the rectangle is 25.9 unit.
Area of the rectangle is 1473.7 sq. unit.
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Multiply.
1,000 x 550.343978
Answer:
1,000 x 550.343978 = 550343.978
Simplify.
-6√7.4√5
-2√35
24√√35
-24 √√35
The simplified form of the expression is -24√35
Expression
Basically, an expression is the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given,
Here we have the expression -6√7.4√5
Now, we have to simplify the expression.
While we looking into the given expression, we have identified that the expression is in the form of multiplication,
So, the first step in solving the expression is to group the similar element,
So, the grouped form of the expression is,
=> (-6 x 4).(√7 x √5)
Now, we have to perform the multiplication on it, then we get,
=> -24√35
Therefore, the simplified form of the expression is -24√35
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Jay and Ted observed two points, P and Q, on a number line.
A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0.
Jay said that the absolute values of the numbers represented by the two points are the same.
Ted said that the absolute values of the numbers represented by the two points are different.
Which of the following explains who is correct? (1 point)
Jay, because each point is fraction 1 over 8 unit from 0
Jay, because the distance between the points is fraction 1 over 8 unit
Ted, because the points are on different sides of 0
Ted, because the points are at different locations on the number line
Jay, because each point is fraction 1 over 8 unit from 0.
What is absolute length?
One way to think about a number's absolute value is as its distance from zero on the real number line.In addition, the distance between two real numbers is the absolute value of their difference.For instance, the absolute value of 12:
Since each number is 12 units away from zero, it is clear that 12 and -12 both have the same absolute value, which is 12. In order to determine the absolute value of a negative number, simply remove the minus sign. Absolute value is always positive.Absolute value is the length from which the number is from 0 in this they are adding two so it would mean that they are both 1/8 away from 0.
Hence, Jay, because each point is fraction 1 over 8 unit from 0.
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(x+1)² using identity
please help on this question
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
Note that [tex](a+b)^2=a^2+2ab+b^2[/tex].
Let [tex]a=x[/tex] and [tex]b=1[/tex].
[tex](x+1)^2=x^2+2(x)(1)+1^2=x^2+2x+1[/tex]
the distance between two cities is 4 kilometeres. how many meters apart are the two cities
Answer: 4000
Step-by-step explanation: x by 1000
A baker makes 164 cupcakes. To complete an order, he needs 36 more cupcakes. He packs the cupcakes in boxes t
each hold 9 cupcakes. How many boxes will the baker need to pack the whole order?
A) 14 boxes
B) 15 boxes
22 boxes
23 boxes
Equipment was acquired at the beginning of the year at a cost of $36,000. The equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $700.
Question Content Area
a. What was the depreciation for the first year?
fill in the blank
b. Assuming the equipment was sold at the end of year 2 for $8,860, determine the gain or loss on the sale of the equipment.
fill in the blank
The depreciation for the first year is $28,800.
If the equipment is sold for $8,860 at the end of year 2, the loss on the sale is $-14,180.
What is the depreciation in year 1 and the loss on the sale?
Depreciation is the method used in expensing the cost of an asset. The double declining method is an exponential method that is used to expense the cost of an asset.
Depreciation expense using the double declining method = Depreciation factor x cost of the asset
Depreciation factor for the double declining method = 2 x (1/useful life)
Depreciation expense in year 1 = (2 / 10) x $36,000 = $7,200
Book value at the beginning of year 2 = cost of the asset - depreciation in year 1
$36,000 - $7,200 = $28,800
Depreciation in year 2 = (2/10) x $28,800 = $5,760
Book value at the end of year 2 = book value at the end of year 1 - depreciation in year 2
$28,800 - $5,760 = $23,040
Loss = sales price - cost price
Loss = $8,860 - $23,040 = $-14,180
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Find a polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.
Step-by-step explanation:
a polynomial of degree 4 must have 4 zeroes.
when we know these zeroes, we can define the polynomial by the factors defining these zeroes.
after all, a multiplication of several factors can only be zero, if at least one of the factors is zero.
we have 3 zeroes at x = -1. and 1 zero at x = 0.
so,
f(x) = (x + 1)(x + 1)(x + 1)x
you see ? this will only be zero, if x = -1 or x = 0. and -1 is built in as zero 3 times.
let's do the multiplications :
(x + 1)(x + 1) = x² + 2x + 1
(x + 1)x = x² + x
(x² + 2x + 1)(x² + x) = x⁴ + x³ + 2x³ + 2x² + x² + x =
= x⁴ + 3x³ + 3x² + x
f(x) = 1x⁴ + 3x³ + 3x² + 1x
Suppose the probability that it will rain is 3 over 10.
What is the probability that it will not rain?
What are the odds in favor of rain occurring?
Answer: the probability that it will not rain is 70% (you might need to do 7/10)
the odds in favor of the rain occuring is 30% (again, you might need to do 3/10)
Step-by-step explanation:
since the probability that it will rain is 3/10, there is only 7/10 left, so it is more likely to not rain than to rain.
Since it will rain 3/10 times, it is 30% for the second problem
Give me brainliest please!
Ted is a freshman attending a 4-year college. He has been approved for an $8,000 subsidized federal loan at 4.29% for 10 years. How much will the U.S. Department of
Education subsidize in interest costs during his 4.5-year non-payment period?
Answer:
$1544.40
Step-by-step explanation:
You want to know the amount of interest cost subsidized by the Department of Education during the 4.5-year non-payment period on an $8000 subsidized federal loan at 4.29%.
InterestThe interest accrued on the loan amount is found by the simple interest formula:
I = Prt
The principal is $8000, the rate is 4.29%, and the time period is the non-payment period, 4.5 years. The interest is ...
I = $8000·0.0429·4.5 = $1544.40
The DoE will subsidize $1544.40 in interest during the non-payment period.
__
Additional comment
For the purpose of this problem, the 10-year period of the loan is irrelevant, as we're only concerned with the 4.5 year period before repayment starts. Because the loan is subsidized, that interest is never "capitalized" and is not due to be repaid by the borrower.
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what is the ancer to 50+50
Answer: 100 is the ancer m
Step-by-step explanation: my man
Which graph represents the given equation? A. A parabola declines through (negative 1, 4), (negative 1, 3), (0, 2) and (1 point 5, negative 4 point 5) and rises through (2, negative 4), (3, 0) and (4, 6) on the x y coordinate plane. B. A parabola declines through (negative 4, 5), (negative 3 point 5, 2), (negative 3, 0) and (negative 1 point 5, negative 4 point 5) and rises through (0, negative 2), (1, 3) and (1, 4) on the x y coordinate plane. C. A parabola declines through (negative 2 point 3, 5), (negative 2, 2) and (negative 0 point 5, negative 3 point 1) and rises through (0, negative 2), (1, 4) and (1, 5) on the x y coordinate plane. D. A parabola declines through (negative 1, 5), (negative 0 point 5, 2), (0, negative 2) and (0 point 5, negative 3 point 1) and increases through (2, 2), (2 point 5, 5) on the x y coordinate plane.
The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.
How to obtain the graph of a quadratic function?To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:
The x-intercepts, which are the roots of the function.The y-intercept, which is the value of y when the function crosses the y-axis.The vertex, which is the turning point of the function.The function for this problem is defined as follows:
y = 1.5x² + 4x - 2.
Hence the numeric values of the coefficients are listed as follows:
a = 1.5, b = 4, c = -2.
Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:
x = -3.09 -> hence the function passes through point (-3.09, 0).x = 0.43 -> hence the function passes through point (0.43, 0).The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).
The x-coordinate of the vertex is given as follows:
x = -b/2a = -4/3 = -1.33.
Hence the y-coordinate of the vertex is of:
y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.
Missing InformationThe problem asks for the graph of the following function:
y = 1.5x² + 4x - 2.
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The farmer has 8.9kg of animal feed. In a day, he used 350g for the chickens, 675g for the cows and 1.3kg for the horses. How much feed will he have left?
Answer:
-1027.4
Step-by-step explanation:
that is the answer i got from my calculations. I hope this is right
Samantha invested $1000 in an account that pays 5% interest
compounded annually. Assuming no deposits or withdrawals are
made, find how much money Samantha would have in the account 18
years after her initial investment. Round to the nearest tenth (if
necessary).
The amount of money Samantha would have in the account 18 years after her initial investment is $2406.61
The principal amount = $1000
The interest rate = 5%
Time period = 18 years
The interest is compounded annually
The compound interest
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Where A is the final amount
P is the principal amount
r is the interest rate
t is the time period
n is the number of times the interest applied
A = [tex]1000(1+0.05)^{18}[/tex]
A = 1000 × 2.40661
Multiply the terms
A = $2406.61
Hence, the amount of money Samantha would have in the account 18 years after her initial investment is $2406.61
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If .x machines are made, then the unit cost is given by the function C (x)=0.5x²-320x+68,684. What is the minimum unit cost?
Do not round your answer.
According to the concept of quadratic equation, the minimum cost for the x ray machine is $17, 484
Quadratic equation:
Basically, the polynomial equation with highest degree of two is called a quadratic equation.
The general equation is given by ax² + bx + c = 0, where a ≠ 0.
Given,
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If .x machines are made, then the unit cost is given by the function C (x)=0.5x²-320x+68,684.
Here we need to find the minimum unit cost.
Here we know that the standard form of a quadratic is given by:
=> ax² + bx + c
From this function, we have to calculate the value of x as,
=> x = -b/ 2a
While we compare the standard form with the given function,
=> C (x)=0.5x²-320x+68,684.
Then we get the value of
=> a = 0.5
=> b = -320
=> c = 68,684
So, the value of x is calculated as,
=> x = -(-320) / 2(0.5)
=> x = 320 / 1
=> x = 1
Now, we have to plug this value into original function would give us the minimum (unit cost):
=> C(320) = 0.5(320)²- 320 (320) + 68,684.
=> C(320) = 0.5(102400) - 102400 + 68, 684
=> C(320) = 51200 - 102400 + 68684
=> C(320) = 17, 484
Therefore, the minimum unit cost is $17, 484
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Question 3(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
Determine which set of side measurements could be used to form a right triangle.
O4, 8, 11
O6, 8, 13
O√3, √5, 8
O√3, √13, 4
PLEASE HELP WILL GIVE BRAINLIST
Answer:
ok i got you its two;)
Step-by-step explanation:
What is the sum
5/7 + 1/2 + 3/4
Answer: The sum is 55/28.
Alternate Answer: 1 27/28
Step-by-step explanation:
In this equation, the common denominator between the three fractions would be twenty eight.
5/7 converts to 20/28
1/2 converts to 14/28
3/4 converts to 21/28
After adding all the new fractions together, you get 55/28.
programing problem :
Scenario: The county tax office calculates the annual taxes on property using the following formula:
Property tax = property value × 0.0065
Every day, a clerk in the tax office gets a list of properties and must calculate the tax for each property on the
list. You have been asked to design a program that the clerk can use to perform these calculations.
In your interview with the tax clerk, you learn that each property is assigned a lot number, and all lot numbers
are 1 or greater. You decide to write a loop (while) that uses the number 0 as a sentinel value. During each
loop iteration, the program will ask the clerk to enter either a property’s lot number, or 0 to end.
The program to illustrate the information will be:
This function gets the value of the property from the user,
# calculates the tax, then displays the value of the tax
def show_tax():
# getting the value of the property from the user
property_value = float(input("Enter the property value: "))
# calculating the tax
property_tax = property_value * 0.0065
# displaying the value of the tax
print("Property tax: $ {0:.2f}".format(property_tax))
How to illustrate the information?This program will receive the lot number from the user, while the lot number does not equal 0, then it gets the value of the property from the user, calculates the tax, then displays the value of the tax
The main() function will receive the lot number from the user,
# while the lot number does not equal 0,
# call the show_tax() function then ask for the next lot number.
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Travis had a box of 68 french fries. He gave 13 french fries to each of f friends. Which expression shows how many french fries he had left after giving some to his friends? A. 68 - f × 13 B. (68 + f) × 13 C. 68 + f × 13 D. (68 - f) × 13
The expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f, so option A is correct.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
The total no of french fries = 68,
The no of friends = f,
The no of french fries given to each friend = 13
The equation according to the question is given as,
The french fries left = The total no of french fries - The no of french fries given to each friend × The no of friends
Substitute the values,
The french fries left = 68 - 13 × f
Therefore, the expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f.
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What's 237 to the square root?
Answer:
heyyy
Step-by-step explanation:
I need help
y= 350x + 1.25
Answer: 351.25
Step-by-step explanation:
unless there is more to the question that I am not seeing that is the answer.
A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising as she leaves the ramp?
The waterskier has a final speed of approximately 25.350 feet per second.
What is the final speed of the waterskier?
In this question we need to determine the final speed of the waterskier, that is, the final speed of the waterskier when she leaves the ramp. This can be done by means of the principle of energy conservation, where the total energy is the result of combining translational kinetic energy (K), in pounds-feet per second, related to the speed of the waterskier, and gravitational potential energy (U), in pounds-feet per second.
The equation that represents the situation is described below:
K = U + K'
0.5 · m · v² = m · g · h + 0.5 · m · v'²
0.5 · v² = g · h + 0.5 · v'²
v'² = v² - 2 · g · h
Where:
K' - Final translational kinetic energy, in pounds-feet per second.K - Initial translational kinetic energy, in pounds-feet per second.m - Mass of the waterskier, in pounds.v - Initial speed of the waterskier, in feet per second. v' - Final speed of the waterskier, in feet per second.g - Gravitational acceleration, in feet per square second. h - Final height of the waterskier, in feet.If we know that v = 30 ft / s, g = 32.174 ft / s² and h = 4 ft, then the final speed of the waterskier is:
v' = √[(30 ft / s)² - 2 · (32.174 ft / s²) · (4 ft)]
v' ≈ 25.350 ft / s
The final speed of the waterskier is approximately 25.350 feet per second.
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One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a large
Amount of pink paint using 14 cups of red paint.
1. How many batches of pink paint did she make?
2. How many cups of white paint did she use?
Answer:
Mai made 7 batches of pink paint.
Mai used 49 cups of white paint.
Step-by-step explanation:
Part 1. Every 2 cups of red paint are 1 batch of pink paint. This means to find the number of batches of pink paint Mai made, we need to divide 14/2. 14/2 = 7. This means she made 7 batches of pink paint.
Part 2. For every 2 cups of red paint, there are 7 cups of white paint.
For every 1 cup of red paint, there are 3.5 cups of white paint.
This means that we need to multiply 14 x 3.5.
14 x 3.5 = 49.
This means she used 49 cups of white paint.
what is 500,000x100=
The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]
We have,
The product of 500,000 multiplied by 100.
= 500,000 x 100
= 50,000,000
This can be written as:
= 5 x [tex]10^7[/tex]
Therefore,
The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]
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Consider two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.
The value of the consecutive numbers are 7 and 8.
What are consecutive integers?Consecutive integers simply means the numbers that follow each others. It should be noted that such numbers have the same difference between them.
From the information given, we want to find two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.
Let the numbers be x and x+1.
Therefore, 6x + (x + 1)² = 106
6x + x² + 2x + 1 = 106
Collect like terms
x² + 8x + 1 - 106
x² + 8x - 105
x² + 15x - 7x - 105
x(x + 15) - 7(x - 15) = 0
Therefore x - 7 = 0
x = 0 + 7
x = 7
Therefore x + 1
= 7 + 1
= 8
The numbers are 7 and 8.
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Mar. 1) Egert invested $159,000 cash along with $22,300 in office equipment in the company.
The transactions of Egert's Company are entered in the general journal as follows:
General JournalDate Account Titles Debit Credit
Mar. 1 Cash $159,00
Office Equipment $22,300
Common stock $181,300
Mar. 2 Prepaid Rent $1,200
Cash $1,200
Mar. 3 Office equipment $3,300
Office supplies $1,580
Accounts Payable $4,880
Mar. 6 Cash $4,300
Service Revenue $4,300
Mar. 9 Accounts Receivable $7,800
Service Revenue $7,800
Mar. 12 Accounts Payable $4,800
Cash $4,800
Mar. 19 Prepaid Insurance $5,300
Cash $5,300
Mar. 22 Cash $4,700
Accounts Receivable $4,700
Mar. 25 Accounts Receivable $4,200
Service Revenue $4,200
Mar. 29 Dividends $5,400
Cash $5,400
Mar. 30 Office supplies $900
Accounts Payable $900
Mar. 31 Utility expenses $800
Cash $800
What is the general journal?The general journal is the first accounting record of a business transaction.
The general journal identifies the accounts involved in each transaction, specifying which will be debited or credited in the general ledger.
Transaction Analysis:Mar. 1 Cash $159,00 Office Equipment $22,300 Common stock $181,300
Mar. 2 Prepaid Rent $1,200 Cash $1,200
Mar. 3 Office equipment $3,300 Office supplies $1,580 Accounts Payable $4,880
Mar. 6 Cash $4,300 Service Revenue $4,300
Mar. 9 Accounts Receivable $7,800 Service Revenue $7,800
Mar. 12 Accounts Payable $4,800 Cash $4,800
Mar. 19 Prepaid Insurance $5,300 Cash $5,300
Mar. 22 Cash $4,700 Accounts Receivable $4,700
Mar. 25 Accounts Receivable $4,200 Service Revenue $4,200
Mar. 29 Dividends $5,400 Cash $5,400
Mar. 30 Office supplies $900 Accounts Payable $900
Mar. 31 Utility expenses $800 Cash $800
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Question Completion:1 Egert invested $159,00 cash along with $22,300 in office equipment in the company in exchange for common stock. 2 The company prepaid $1,200 cash for six months' rent for an office. The company's policy is to record prepaid expenses in balance sheet accounts. 3 The company made credit purchases of office equipment for $3,300 and office supplies for $1,580. Payment is due within 10 days. 6 The company completed services for a client and immediately received $4,300 cash. 9 The company completed a 7,800 project for a client, who must pay within 30 days. Mar. 12 The company paid $4,800 cash to settle the account payable created on March 3. Mar. 19 The company paid $5,300 cash for the premium on a 12-month insurance policy. The company's policy is to record prepaid expenses in balance sheet accounts. Mar. 22 The company received $4,700 cash as partial payment for the work completed on March 9. Mar. 25 The company completed work for another client for $4,200 on credit. Mar. 29 The company paid $5,400 cash in dividends. Mar. 30 The company purchased $900 of additional office supplies on credit. Mar. 31 The company paid $800 cash for this month's utility bill.
Enter the transactions in the general journal.
What equation that line passes through the point P(1/3,4) and has no slope.
The equation of the line that passes through the point P(1/3,4) and has no slope is y = 4.
According to the question,
We have the following information:
Point through which line is passing = (1/3,4)
Slope of the line = 0
We know that the following formula is used to find the equation of the line passing through a point:
y-y' = m(x-x')
We have x' = 1/3 and y' = 4.
y-4 = 0(x-1/3)
y-4 = 0
Adding 4 on both sides of the equation:
y = 4
Hence, the equation of the line that passes through the point P(1/3,4) and has no slope is y = 4.
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Which fraction has the same value as 44.4¯%?
Answer: 111/250
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
44.4% = 44.4/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
44.4/100 = (44.4 x 10)/(100 x 10) = 444/1000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(444,1000) = 4. So,
Two tracking stations are on the equator 163 miles apart. A weather balloon is located on a bearing
of N 43°E from the western station and a bearing of N 17°E from the eastern station. How far, to the
nearest mile, is the balloon from the western station? i got 322 miles
If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
Suppose the selling price of a towel is x, according to the given condition,
5 = x - 15% of x
5=x-0.15x
5=0.85 x
x=5/0.85
x=5.88
Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.
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A tourist from the U.S. is vacationing in Greece. One day, he notices that gasoline costs 1.28 euro per liter. On that same day, euro is worth 1.09 dollars. How much does the gas cost in dollars per gallon? First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.
The cost of the gas in dollars per gallon would be = $5.3 per gallon.
What is the conversation of liters to gallon?Liters can be converted to gallon as 1 liter = 0.264 gallon.
On the first day, the cost of gasoline = 1.28 euro per liter
On the first day, the worth of £1 = $ 1.09
Which means, if £1 = $1.09
£ 1.28 = $x
Make $x the subject of formula;
$x = 1.28 × 1.09/1
$x = $1.40
Which means that on the first day, the cost of gasoline in dollars = $1.40
To convert liters to gallon;
1 liter = 0.264 gallon
If $1.40 = 0.264 gallon
$x = 1 gallon
make $x the subject of formula;
$x = 1×$1.40/0.264
$x = 5.3
Therefore, the cost of gasoline in dollar per euro = $5.3 per gallon.
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