A yard cleanup service charges a $254 fee plus $19. 25 per hour. Another cleanup service charges a $133 fee plus $24. 75 per hour. How long is a job for which the two companies' costs are the same?
Answers
A job that takes approximately 22 hours would result in the same cost for both yard cleanup services.
To determine when the two yard cleanup services have the same cost, you'll need to set up an equation using the given fees and hourly rates
. For the first service, the cost is $254 (fee) + $19.25 per hour (rate).
For the second service, the cost is $133 (fee) + $24.75 per hour (rate).
Let x represent the number of hours for the job.
The equation would be: 254 + 19.25x = 133 + 24.75x
To solve for x, subtract 19.25x from both sides and simplify: 121 = 5.5x
Now, divide both sides by 5.5 to find the number of hours: x ≈ 22 hours
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Related Questions
7. Gannon works as a car salesman and earns a percent of his sales as commission. He sold $350,000
worth of cars in the month of September. He earns 9% of his sales. Gannon receives a base monthly
salary of $1,650. How much did he make in commission? How much did he make in total for the
month of September?
Answers
Gannon made a total of $33,150 for the month of September, combining his commission and base salary. Gannon works as a car salesman and earns 9% commission on his sales.
To calculate Gannon's commission, we need to multiply his sales by the commission rate:
Commission = Sales x Commission rate
Commission = $350,000 x 0.09
Commission = $31,500
So Gannon made $31,500 in commission for the month of September.
To calculate his total earnings for the month, we need to add his commission to his base salary:
Total earnings = Commission + Base salary
Total earnings = $31,500 + $1,650
Total earnings = $33,150
Therefore, Gannon made a total of $33,150 for the month of September.
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( Will give Brainliest) please Helpp
Answers
Answer:
See explanation
Step-by-step explanation:
Step 1: Write equation
n - 4 = -15
Step 2: Solve for n
n = -11
ow assume that a person is tested twice and that the results of the tests are independent from each other. if the person tests positive twice, now what is the probability that this person has the disease?
Answers
The probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test.
Assuming that a person is tested twice and the results are independent of each other, we can calculate the probability of having the disease given that the person tests positive twice. Let's say the probability of testing positive given that the person has the disease is p, and the probability of testing negative given that the person does not have the disease is q. Also, let's assume that the prevalence of the disease in the population is r.
The probability of testing positive twice given that the person has the disease is p^2. The probability of testing positive twice given that the person does not have the disease is (1-r)^2q^2. The probability of testing positive twice is the sum of these probabilities, which is p^2 + (1-r)^2q^2.
Now we can use Bayes' theorem to calculate the probability of having the disease given that the person tests positive twice. The formula is P(D|++) = P(++|D)P(D) / P(++), where P(D|++) is the probability of having the disease given that the person tests positive twice, P(++|D) is the probability of testing positive twice given that the person has the disease (p^2), P(D) is the prevalence of the disease (r), and P(++) is the probability of testing positive twice (p^2 + (1-r)^2q^2).
Substituting the values, we get P(D|++) = p^2*r / (p^2*r + (1-r)^2q^2). Therefore, the probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test. If the prevalence of the disease is high and the test is accurate, then the probability of having the disease given a positive result is also high.
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the beans were packed in a can that had a height of 10 cm and a radius of 3 cm find the volume in terms of pi
Answers
The volume of the can in terms of π is 90π cubic centimeters.
What is surface area?The surface area of an object refers to the overall space filled by its surfaces. Many 3D forms in geometry have various surface areas, which may be quickly estimated using the formulae we shall learn in this lesson. Two kinds of surface area exist: total surface area and lateral surface area, often known as curved surface area.
The can is in shape of a cylinder thus the volume of the cylinder is:
V = πr²h
Substitute the values:
V = π(3)²(10)
V = 90π
Hence, the volume of the can in terms of π is 90π cubic centimeters.
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Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?
Answers
Answer:
he is drive 6.4 hours ......
Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
Answers
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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PLZ ANSWER If a triangle is rotated about the y-axis as shown below, what three-dimensional polyhedral would be formed?
Answers
Answer:
A cone
Step-by-step explanation:
The diagram that shows the rotation of the triangle is not shown, but the question can still be solved.
The rotation of a triangle will form a cone; in fact a cone is referred to as a rotated triangle.
When rotated, the base of the triangle will form the circular base of the cone; the slant lengths of the triangle will form the slant length of the triangle.
The height of both shapes will remain the same.
Answer:
Cone
Step-by-step explanation:
Just took the test
The area of the trapezoid is 40 square units.
What is the height of the trapezoid?
6
3 units
5 units
10 units
10
12 units
Answers
Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
\( A = (\frac{a + b}{2}) h \)
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
\( 40 = (\frac{6 + 10}{2}) h \)
\( 40 = (\frac{16}{2}) h \)
\( 40 = 8 * h \)
Solve for h:
\( h = \frac{40}{8} \)
\( h = 5 \)
The height of the trapezoid is 5 units
Answer:
5 units
Step-by-step explanation:
i need help with this question i don't know where to start.
t + 58 = 668
Answers
Answer:
t = 610
Step-by-step explanation:
668 - 58 = 610
610 + 58 = 668
Answer:
t=610
Step-by-step explanation:
you need to get the exponent by itself, to do this:
t+58=668 becomes t=610 by subtracting 58 from both sides to balance it out (what you do to one side you have to do to the other)
Sara has twice as many records as Jenny. Together they have 78 records. How many records does each have?
Answers
Answer:
Sara has 39 and Jenny has 19.5
Step-by-step explanation:
If an airplane travels 110 mph for 5 hours, what is the total distance traveled?
Answers
Answer:
550 miles
Step-by-step explanation:
\(Distance=Speed\times Time\)
\(Distance = 110mph \times 5h = 550\ miles\)
Total Distance travelled by the airplane is 550 miles
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Speed?The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time
Given,
Speed of the airplane = 110 mph
Time = 5 hours
Distance = Speed × Time
=110 ×5
=550 miles
Hence, the total distance travelled by the airplane is 550 miles
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A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent
Answers
Answer:
11%
Step-by-step explanation:
I think that's the answer just check first
CDs cost $5. 94 more than DVDs at All Bets Are Off Electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and 2 DVDs cost $113. 63?
Answers
The cost of a CD is $5.94 more than the cost of a DVD. Let's assume that the cost of a DVD is "x" dollars, then the cost of a CD is "x+5.94" dollars.
Using this information, we can write the following equations:
5(x+5.94) + 2x = 113.63 (cost of 5 CDs and 2 DVDs)
6(x+5.94) + 2x = ? (cost of 6 CDs and 2 DVDs)
Solving the first equation for "x", we get x = 12.21. Substituting this value in the second equation, we get the cost of 6 CDs and 2 DVDs as $83.64.
Therefore, the cost of 6 CDs and 2 DVDs would be $83.64 at All Bets Are Off Electronics if 5 CDs and 2 DVDs cost $113.63, and CDs cost $5.94 more than DVDs.
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Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x)
h(x) = _____ x _____ _____
Answers
Answer:
10x+12 is the answer in my calculation.
1Cm:15Km to the nearest 10000
Answers
The value of 1 cm : 1 km is 6.66666667e-7
How to evaluate the ratio?The ratio expression is given as:
1 cm : 15 km
Convert km to cm
So, we have
1 cm : 1 km = 1 cm : 1500000 cm
Express as quotient
1 cm : 1 km = 1 cm/1500000 cm
Evaluate the quotient
1 cm : 1 km = 6.66666667e-7
Hence, the value of 1 cm : 1 km is 6.66666667e-7
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The table shows the ratios of black and white keys on pianos of various size
Answers
The ratio of black and white keys of piano give correct values of A, B, C as 9, 52, 130.
The ratio of black to white keys of Piano of different sizes are as follow,
Black A 36 63 90
White 13 B 91 C
From the table of black and white keys relation of proportionality is equal to,
( A / 13 ) = ( 36 / B ) = ( 63 / 91 ) = ( 90 / C )
This implies ,
( A / 13 ) = ( 63 / 91 )
⇒ A = ( 63 / 91 ) × 13
⇒ A = ( 9 / 13 ) × 13
⇒ A = 9
Similarly,
( 36 / B ) = ( 63 / 91 )
⇒ B = 36 × ( 91 / 63 )
⇒ B = 36 × ( 13 / 9 )
⇒ B = 52
And
( 63 / 91 ) = ( 90 / C )
⇒ C = 90 × ( 91 / 63 )
⇒ B = 90 × ( 13 / 9 )
⇒ B = 130
Therefore, the correct values of A , B, C using the ratio of black and white keys of the piano is equal to 9, 52, 130.
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The above question is incomplete, the complete question is:
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 36 63 90
White 13 B 91 C
Determine which table has the correct values for A, B, and C.
What is five times seven divided by nine
Answers
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
Write 60xy^3 as a prime factorization.
Answers
Answer:
To write 60xy^3 as a prime factorization, we need to find the prime factorization of 60 and then the prime factorization of xy^3.
The prime factorization of 60 is 2 * 2 * 3 * 5.
To find the prime factorization of xy^3, we need to find the prime factorization of x and the prime factorization of y^3. Since x is a variable and we do not know its value, we cannot determine its prime factorization. However, we can find the prime factorization of y^3.
The prime factorization of y^3 is simply y * y * y.
Therefore, the prime factorization of 60xy^3 is 2 * 2 * 3 * 5 * y * y * y.
-9.6 + 6
1 1/2 + 2
1/4 + (3/4)
-3 + 5
8.55 - 2.25
13 -(-5)
Answers
Answer:
−3.6
7.5
1
2
6.3
18
Step-by-step explanation:
Plug it into a calculator if they are not correct.
the sum of legs for a right triangle be 21 and their product is 40. Find the perimeter of this triangle.
Answers
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
The sum of legs for a right triangle is 12:
\( a + b = 21 \)
\( a = 21 - b \) (1)
And their product is:
\( a*b = 40 \) (2)
By entering eq (1) into (2) we have:
\( (21 - b)b = 40 \)
\( 21b - b^{2} - 40 = 0 \)
We can find the value of "b" by solving the above quadratic equation.
\( b_{1} = 2.1 \)
\( b_{2} = 18.9 \)
Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.
\( a = 21 - 2.1 = 18.9 \)
Now, the hypotenuse of the right triangle is given by:
\( h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 \)
Hence, the perimeter is:
\( P = a + b + h = 18.9 + 2.1 + 19 = 40 \)
Therefore, the perimeter of the triangle is 40.
I hope it helps you!
What is negative 1/3 plus positive 16/20?
(I need this answer ASAP!!!!!!)
Answers
Answer:
7/15
Step-by-step explanation:
Answer:0.466666667
Step-by-step explanation:
There are nine water bottles in Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 1 fewer bottle than a full box. When he is done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box.
Write the equation.
Answers
Answer:
There are 12 bottles of water in a full pack.
Step-by-step explanation:
look at screen shot for answer.
Determine whether the equation is an identity or not an identity.
tan²0 cos² 0 = 1/csc^2 0
a. identity
b. not an identity
Please select the best answer from the choices provided
Answers
7h + 3 = 7(2=h) -11
this is my question what is the answer???
Answers
Answer:
7h+3=-11?
then h=-11-3 divided by 7
Step-by-step explanation:
7h+3=14-7h-11
7h+3=-7h+3
Then put the like terms together:
7h+7h=3-3
14h=0
H=-14
(I hope this helped!)
If a fitted trend equation is yt = 184e-.047t, then the forecast for period 4 is:
Answers
The forecast for the period of 4 is 152.5
How to determine the forecast for the period of 4?The equation of the fitted trend is given as:
yt = 184e-.047t
At the 4th period, we have:
t = 4
This means that:
y4 = 184e-.047 * 4
Evaluate the product
y4 = 184e-0.188
Evaluate the exponent
y4 = 184 * 0.8286
Evaluate the product
y4 = 152.5
Hence, the forecast for the period of 4 is 152.5
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help..564 patrons can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answers
Answer:
3,384
Step-by-step explanation:
So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:
564 x 6 = 3,384
hope this helps:D
Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
Answers
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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what is the formula of 1,-3/4 and 4,-3
Answers
The formula for slope is,
\(m=\frac{-3-(\frac{-3}{4})}{4-1}\)What is the percentage strength of neomycin in the final compounded product? (Answer must be numeric; no units or commas; include a leading zero when the answer is less than 1; round the final answer to the nearest ONE DECIMAL PLACE.)Rx:Neomycin (5%) cream 30gPolymyxin B 20gHydrocortisone 10gMix the ingredients to make a smooth creamSig: apply to affected area BID
Answers
The percentage strength of neomycin in the final compounded product is approximately 2.5%.
To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.
Neomycin (5%) cream: 30g
The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:
Weight of neomycin = 30g × 0.05 = 1.5g
Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:
Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100
Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5
Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.
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please answer the following
Answers
Answer:
it 10
Step-by-step explanation: