For how many hours of labor was Jill charged? Leave your answer in decimal form if necessary.
Answers
Explanation:
The equation is given below as
\(225=95+52h\)Substract 95 from both sides, we will have
\(\begin{gathered} 225=95+52h \\ 225-95=95-95+52h \\ 130=52h \\ divide\text{ both sides by 52} \\ \frac{52h}{52}=\frac{130}{52} \\ h=2.5 \end{gathered}\)Hence,
The final answer is
\(h=2.5hours\)Related Questions
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
Answers
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
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Circle the multiplication problem that does not belong with the other three. explain 12×8=,22×4=,42×2=,33×3=
Answers
Answer: 12 x 8
Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.
Given: Right ∆ABM and right ∆CDM; M is the midpoint of BC-.
Prove: ∆ABM ≅ ∆DCM
Proof: • ∆AMB ≅ ∆CMD ________
BM = √(x₂ − x₁₂)² + (x₂ - y₂)²
= √(4-1)²+(3-3)²
=√3² + (0)²
=√3²=3
CM = √(x₂ − x₁₂)² + (x₂ - y₂)²
= √(7-4)²+(3-3)²
=√3² + (0)²
=√3²=3
• BM- ≅ CM- ____
• Therefore: ∆ABM ≅ ∆DCM; the triangles are congruent by ____
Answers
Under the HL criteria, the triangles are congruent. The proof is so finished.
Since M is the midpoint of BC, we have BM = CM.
AM = DM (Given that ∆ABM and ∆CDM are right triangles and M is the midpoint of BC).AB = CD (Given that the triangles are right and ∠AMB = ∠DMC = 90°).Therefore, by Hypotenuse-Leg (HL) congruence criterion, we have:
∆ABM ≅ ∆DCM.BM- = CM- (since BM = CM).Therefore, ∆ABM ≅ ∆DCM; the triangles are congruent by HL criterion.
Hence, the proof is complete.
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What is the solution to the system of two equations shown?
{y=4x+16y=−2x−2
y=4x+16 y=-2x-2
Answers
The solution of the given system of equation is x = -3 and y = 4 respectively.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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14.) What is the value of x in the model?
Need help on my review sheet, if anyone can help I would be so grateful
Answers
Answer:
Step-by-step explanation:
y our mom
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
Answers
What is the equation 63=9j ?
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
63-(9*j)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
63 - 9j = -9 • (j - 7)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : j-7 = 0
Add 7 to both sides of the equation :
j = 7
solved
j = 7
Clare would like to buy a video game that costs at least $130. She has saved $48 so far and plans on saving $5 of her allowance each week. Write an inequality to find out the number of weeks it will take until she has enough money to buy the game.
Answers
Answer:
To determine how many weeks it will take Clare to save enough money to buy the video game, we need to find the number of weeks it will take for her to save at least $130. Let w be the number of weeks it will take for Clare to save enough money. We can set up the following inequality to represent this situation:
$48 + $5w >= $130
To solve this inequality, we can first add $48 to both sides to get rid of the constant on the left side:
$48 + $48 + $5w >= $130
This simplifies to $96 + $5w >= $130. Subtracting $96 from both sides gives us $5w >= $34. Dividing both sides by $5 gives us w >= 6.8. Since w represents the number of weeks, the solution must be a whole number. Therefore, Clare will need to save for at least 7 weeks in order to have enough money to buy the video game.
Find the equivalent markup on either cost or selling price, using the appropriate formula. Round to the nearest tenth of a percent. Markup on Cost Markup on Selling Price 18.4%
Answers
The markup on cost price is 22.55%
What is the formula for markup on selling price?
The selling price itself is made of the cost price and markup, which means that markup on selling price is the selling price minus the cost price
selling price=cost price+ markup
markup=selling price-cost price
In this case, markup on selling price means profit as a percentage of selling price , which means that the selling price is 100%(or 1)
100%=cost price+18.4%
cost price=100%-18.4%
cost price=81.60%
Finally, the markup on cost price is 18.4% divided the percentage of cost price
markup on cost price=18.4%/81.60%
markup on cost price=22.55%
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In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answers
$dfrac{sinangle W}{320}=dfrac{sin169°}{740}$
Multiplying both sides by 320, we have:
$sinangle W=dfrac{320sin169°}{740}$
Using a calculator, we find that $sinangle W approx 0.7555$. Taking the inverse sine of both sides, we have:
$angle W approx sin^{-1}(0.7555)$
There are two possible values for $angle W$: $angle W approx 49.5°$ and $angle W approx 130.5°$ (since $sin^{-1}(0.7555) approx 49.5°$ and $angle W = 180° - sin^{-1}(0.7555) approx 130.5°$).
Therefore, the two possible values of $angle W$ are approximately 49.5° and 130.5°.
Help
Use the Distributive Property to rewrite the expression
-8(a + b) =
Answers
Answer:
\(-8a-8b\)
Step-by-step explanation:
You would first distribute -8 into the parenthesis:
\(a(-8)+b(-8)\\-8a-8b\)
What is 39,182 written in expanded form?
3 x 10,000 + 9 x 1,000 + 1 x 100 + 8 x 10 + 2 x 1
3 x 10,000 + 9 x 1,000 + 8 x 100 + 1 x 10 + 2 x 1
3 x 30,000 + 9 x 9,000 + 1 x 100 + 8 x 80 + 2 x 2
3 x 10,000 + 9 x 1,000 + 1 x 100 + 2 x 10 + 8 x 1
Answers
Answer:
your answer is the first one : 3 x 10,000 + 9 x 1,000 + 1 x 100 + 8 x 10 + 2 x 1
Step-by-step explanation:
Hope this helps
Write the inequality for the following: four times a
number increased by 2 is less than -24.
Answers
4 · n + 2 < -24
Hope this helps! Good luck! :)
-14 – x = -21 pls help
Answers
Answer:
x = 7
Step-by-step explanation:
Given equation,
→ -14 - x = -21
Now the value of x will be,
→ -14 - x = -21
→ -x = -21 + 14
→ -x = -7
→ [ x = 7 ]
Hence, the value of x is 7.
Answer:
x=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable
There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?
Answers
is the answer because 39 divided by 3 is equal to 13
Which expression is equivalent to Left-bracket log 9 + one-half log x + log (x cubed + 4) Right-bracket minus log 6? log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Answers
Answer:
\(\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}\)
Step-by-step explanation:
\(\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}\)
__
The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Answer:
A
Step-by-step explanation:
Just did it on edge2020
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65
Answers
Answer:
50
Step-by-step explanation:
50 because of the 100 of 79 to 7
Can you help me with this problem I am struggling in?
Answers
Answer:
c,a,b
Step-by-step explanation:
...................
Pls help I’ll brainlest asap
Graph the equation 3x- 2y=4 using the x intercept and y intercept
I’m failing
Answers
Answer:
x-int: (3/4, 0)
y-int: (0,-2)
Step-by-step explanation:
(see attached file)
Solve for u.
3u = 4.8
I don’t know how to find what u equals can someone help me
Answers
Answer:
U = 1.6
Step-by-step explanation:
Divide 4.8 by 3.
PLEASE HELP, TY! WILL MARK BRAINLIEST!
Answers
Answer: y = 6
Step-by-step explanation:
The opposite sites of a parallelogram should be equal length. Therefore \(7y = y + 36\), so \(6y = 36\) and thus \(y = \boxed{6}\).
Please help quick I need it
Answers
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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Simplify this expression:2x + 3 – (5 – 6x).
Answers
Answer:
8x - 2
Step-by-step explanation:
2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= 2x + 3 - 5 + 6x ← collect like terms
= (2x + 6x) + (3 - 5)
= 8x + (- 2)
= 8x - 2
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
Answers
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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In circle M with m ∠ L M N = 106 and LM=4 units, find the length of arc LN. Round to the nearest hundredth.
Answers
The length of arc LN of the circle is 7.40 units rounded to the nearest hundredth.
How to calculate for the length of arc of a circleTo calculate for the length of an arc of a circle, we use 2πr × (θ/360), where r is the radius and θ is the angle formed from the arc.
Thus we evaluate for the length of the arc as follows;
for π = 3.14, r = 4 and θ = 106°
2 × 3.14 × 4 × (106/360)°
25.12 × 0.2944
7.3953
Therefore, the length of the arc 7.3953 and rounded up to 7.40 to the nearest hundredth.
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Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.
Yes, because the have the same slope of 2/3.
Yes because they have the same slope of 3/2.
No because the lines will eventually cross.
No because their slopes are not the same.
Answers
Answer:
Yes because they have the same slope of 3/2
Step-by-step explanation:
The slope of PQ is ...
(10 -7)/(2 -0) = 3/2
The slope of RS is ...
(8 -5)/(0 -(-2)) = 3/2
The slopes are the same (3/2), so the lines are parallel.
Central limit theorem: Sample proportion
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is
no malfunction, the defect rate inthe manufacturing process (due to imperfections in the material used) is 1%. When 1.5% or more of the light bulbs in the
sample of 4400 are defective, the control unit calls repair technicians for service.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of P, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction.
(b) Find the standard devition
(c) Compute an approximation for PCP >0.015), which is the probability that the service technicians will be called even though the system is functioning
properly. Round your answer to four decimal places.
Answers
carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
Answers
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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Ed needed to extend the string on his kite. The current string was nine and three fourths feet. He cut a piece of string that measured 2.5 feet and added it to the existing string. What is the new length of the string?
twelve and one fourth feet
eleven and three fourths feet
seven and one half feet
seven and one fourth feet
Answers
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
The sum of the digits of a two-digit number is less than the value of the original two-digit number.
Answers
Answer:
38
Step-by-step explanation:
3+8=11
11<38