Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.
True. Crew 1 worked a total of 12 worker-day.
True. Crew 1 repaved the highway at a rate of 12 mile per day.
True. Crew 2 repaved the highway at a faster rate than Crew 1.
True. Crew 1 required more worker-day per mile than Crew 2.
True. Crew 2 repaved the highway at a rate of 1.3 worker-day per mile.
Crew 1 - 6 workers and 4 days of work = 24 worker-days to repave 2 miles of highway. This means that Crew 1 repaved the highway at a rate of 12 miles per day.
Crew 2 - 8 workers and 5 days of work = 40 worker-days to repave 3 miles of highway. This means that Crew 2 repaved the highway at a rate of 1.3 worker-days per mile.
Since Crew 2 repaved the highway in fewer worker-days, it is clear that they repaved the highway at a faster rate than Crew 1. Additionally, since it took Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.
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HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?
Answer:
0-5
Step-by-step explanation:
1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.
Hurry!!! What is the value of x in the equation below?
-3-(-5)-(-2)= x
0 -13
0 -9
3
0 7
Answer:
-13Step-by-step explanation:
Solving as it is given:
-3-(-5)-(-2)= x-3 + 5 + 2 = x-3 + 7 = x7 - 3 = x4 = xx = 4As given, the answer is 4 which doesn't match any of the options
Assumed there is typo and question is:
-3-(-5)·(-2)= x-3 - (5)(2) = x-3 - 10 = x-13 = xx = -13The the answer is option A
For 18-20, factor each of the following and show work.
18. 5x^4 - 25x
19. 4x^2 - 9
20. x^2+8x+12
Step-by-step explanation:
20. x^2+8x+12
x^2 + 6x +2x + 12
X(X+6) + 2(X+6)
(X+2) (X+6)
18. 5x^4 - 25x
5x(x^3-5)
19. 4x^2 - 9
4x^2/4 -9/4 = 0/4
x^2 = 9/4
X=√9/4
How many solutions exist for the system of equations in the graph?
Mai says that equations A and B have the same solution.
- Equation A:-3(x + 7) = 24
- Equation B:2 + 7 =-8
Which statement explains why this is true?
A: Adding 3 to both sides of Equation A gives x + 7 = -8.
B: Applying the distributive property to Equation A gives x + 7 = -8.
C: Subtracting 3 from both sides of Equation A gives X + 7 = -8.
D: Dividing both sides of Equation A by-3 gives x + 7 = -8.
Answer: D
Step-by-step explanation: Took It
The correct option will be "option D".
It is given that both the equations A and B have the same solution.
We have to find out that which of the given options are correct.
What will be the value if 3 is added to the both sides of the equation ' 3x - 6 = 4x - 8.
The equation will become , 3x - 3 = 4x -5
As given in the question ;
equation 1 and equation 2 have same solution.
Let's check which option is correct.
A) Adding 3 to both sides of Equation A i.e., -3 (x + 7) = 24
=3 x - 21 + 3 = 24 + 3
-3x - 18 = 27
x + 6 = -9
So option A is not correct
B) Applying the distributive property to Equation A
a × ( b + c ) = ( a + b ) × c
-3 ( x + 7 ) = ( 1 + 7 ) × -3
x + 7 = 8
So , option B is not correct.
C) Subtracting 3 from both sides of Equation A
- 3x - 21 -3 = 24 - 3
-3x - 24 = 21
x + 8 = 7
So, option C is not correct.
D) Dividing both sides of Equation A by -3
[ -3 (x + 7) ] / 3= 24 / 3
-x - 7 = 8
x + 7 = -8
So , option D is correct.
Thus , correct option will be "option D".
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Help me me me. Me me
JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SAKE IF YOU HELP!!!!
Answer:
14. 6 x \(10^{17}\)
15. 28.615 x \(10^{10}\)
16. I'm so sorry, I'm not sure!
17. 1.26 x \(10^{10}\)
18. 1.639 x \(10^{-8}\)
19. 2.025 x \(10^{17}\)
Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!
-Aphrodite
Step-by-step explanation:
Put these in order starting with the smallest: 9 and 2/3, 27 and 1/3, 125 and 2/3
Answer:
2/3, 9, 271/3, 2/3, 125Step-by-step explanation:
9 and 2/3, 271/3, 125 and 2/32/3 = 0.671/3 = 0.330.67, 9, 27 => 2/3, 9, 270.33, 0.67, 125 => 1/3, 2/3, 125Hope this helps!
which numbers belong to the solution set of the equation?
22x=902
Answer:
D. 41
Step-by-step explanation:
To solve, you have to clear "x" from the equation by dividing the other side of the equation by 22:
The only solution for 22x=901 is 41
Answer: x=41
Step-by-step explanation:
Hii!
Do you need to know the solution set of 22x=902? No problem! (:
We just need to divide both sides by 22 to solve for "x".
x=41; this equation has one solution only
--
Hope that this helped! Best wishes.
--
Pls help meee I’m stuck and no one will helppp
Answer:
x = 46
Step-by-step explanation:
Hello there!
The following angles are corresponding angles
One of the properties of corresponding anlges is that they are congruent
That being said we can use this equation to solve for x
2x + 4 = 4x - 88
step 1 subtract 2x from each side
2x -2x cancels out
4x - 2x = 2x
now we have
4 = 2x - 88
step 2 add 88 to each side
-88 + 88 cancels out
4 + 88 = 92
now we have 92 = 2x
step 3 divide each side by 2
92 / 2 = 46
2x/2= x
we're left with x = 46
100 points
FOR EACH SCENARIO, CHECK THE BOX FOR THE APPROPRIATE UNIT
RATE FOR PRICE PER 1 POUND *
$4
$10
$6
$5
$2
$50 FOR
5LBS
o
O
O
$48 FOR
8LBS
О.
O о o
$44 FOR
11LBS
O.
O
$26 FOR
13LBS
O
O
$100 FOR
20LBS
O
O
O
O
Answer:
there is a button on the side of your keyboard that turns off all caps
ACTUAL ANSWER: 1 dollar a pound
Step-by-step explanation:
PLZZZ FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
130°
130-67=
63÷3=
21
x=21
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is
the diagonal distance across the screen. If the screen measures 15 inches in height,
what is the actual width of the screen to the nearest inch?
Answer:
The actual width of the screen = 22.45 inches
Step-by-step explanation:
From the above question, we are given the following parameters
Diagonal = 27 inches
Height (Length) = 15 inches
Width = ???
To solve this question we would be using Pythagoras Theorem.
Diagonal² = Length² + Width²
Width² = Diagonal² - Length²
Width = √Diagonal² - Length²
Width = √27² - 15²
Width = √729 - 225
Width = √(504)
Width = 22.449944321 inches
Approximately to the nearest inch,
The actual width of the screen = 22.45 inches
construct a square with vertex a inscribed in the given circle
To construct a square with vertex A inscribed in a given circle, follow these steps: (1) Draw the circle with the given center and radius. (2) Choose point A on the circumference. (3) Draw the radius from the center to A. (4) Construct a perpendicular bisector of the radius to intersect the circle at points B and C. (5) Connect B to C and C to A to complete the square.
1)Start by drawing a circle with the given center and radius.
2)Choose a point A on the circumference of the circle to serve as one of the vertices of the square.
3)Draw a line segment from the center of the circle to point A. This line segment will be the radius of the circle and also one side of the square.
4)Construct a perpendicular bisector of the line segment drawn in step 3. This will intersect the circumference of the circle at two points.
5)Label the points of intersection as B and C. These points will be the other two vertices of the square.
6)Finally, draw line segments from B to C and from C to A to complete the square.
By following these steps, we can construct a square with vertex A inscribed in the given circle.
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ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
olve the following differential equation by finding h and k so that the substitutions x equal suplush, y equal svplusk transform it into the homogeneous equation StartFraction dv Over du EndFraction equals StartFraction u minus v Over u plus v EndFraction dy/dx= (x-y-1)/(x+y+1)
We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).
This is the general solution to the original differential equation, in terms of h, k, and C.
Homogeneous equation substitutionTo solve the differential equation
dy/dx = (x-y-1)/(x+y+1)
We can make the substitution x = h + s and y = v + k, where h and k are constants to be determined. This gives us:dy/dx = dv/ds + k
x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)
x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)
Substituting these into the differential equation and simplifying, we get:dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -
(s + v + (h + k + 1))]
Simplifying further, we get:dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]
or
dv/ds = (v - h + k - s) / 2
This is a homogeneous differential equation, which we can solve using the substitution u = v - h + k - s. Then,dv/ds = du/ds
and the equation becomes:
du/ds = -u/2
which has the general solution u = Ce^(-s/2). Substituting back, we get:v - h + k - s = Ce^(-s/2)
or
y - x - (h - k) = Ce^(-(x-h-s)/2)
This is the general solution to the original differential equation, in terms of h, k, and C.
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Please help me with this permutations and combinations math problem
Answer:
Step-by-step explanation:
\(C^n_r=\frac{n!}{(n-r)!r!}\\P^n_r=\frac{n!}{(n-r)!}\)
\(\frac{(28+70)(30-6)}{(30)^2-6^2}=\frac{49}{18}=2.722222222222222\)
A 2-pint bottle of salad dressing costs $13.76. What is the price per cup?
Submit
The price per cup of salad dressing in a 2-pint bottle that costs $13.76 is $0.86.
To calculate the price per cup of salad dressing, we need to know that there are 2 cups in a pint. Therefore, there are 4 cups in a 2-pint bottle of salad dressing.
To find the price per cup, we divide the total cost of the bottle by the number of cups in the bottle.
$13.76 ÷ 4 cups = $3.44 per cup
Therefore, the price per cup of salad dressing is $0.86, which is obtained by dividing $3.44 by 4.
It is important to know the price per unit, whether it is per ounce, per pound, per liter, or per cup, to be able to compare the cost of different products accurately.
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what is the answer to -15-(-12)
A.none
B.Supplementary
C.Complementary
D.Vertical
For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is \(16\) % and the amount of the commission they get to keep is the \(16\) % of $\(135\) which would be \(21.6\) $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of \(100\). It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $\(42\), and the employee who sold it gets $\(8\).
(1)
Here the full price is \(42+8=50\)
So, the commission the employee earned as a percentage of the total cost of the gym membership is
\(\frac{8}{50}=16\) %
(2)
Here, the employee sells a family pass for $\(135\).
So, the amount of the commission they get to keep is the \(16\) % of $\(135\) which would be
\(\frac{16}{100}\) ×\(135=21.6\) $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is \(16\) % and the amount of the commission they get to keep is the \(16\) % of $\(135\) which would be \(21.6\) $
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The area of a parallelogram is 64 square feet. If the base is 10 square feet long, what is the height?
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Area of parallelogram :
\(base \times height\)\(10 \times h = 64\)\(h = \dfrac{64}{10} \)\(h = 6.4\)Height of a parallelogram is 6.4 feet
\( 8 d \) transformation is be applied to Select one: a. disjoint b. overlap
Transformation doesn't depend on the shape of the figure if it has an overlap or not
The transformation \(8d\) can be applied to a figure with overlap or not with overlap.
Transformations are operations on a plane that change the position, shape, and size of geometric figures.
When a geometric figure is transformed,
its new image has the same shape as the original figure.
However,
it is in a new position and may have a different size.
Let's talk about different types of transformations.
Rotation:
It occurs when a shape is turned around a point, which is the rotation center.
Translation:
It moves the shape from one point to another on a plane.
Reflection:
It is an operation that results in the mirror image of the original shape.
Scaling:
The shape is transformed by changing the size without changing its orientation.
Transformation on \(8d\):
In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.
This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.
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Given the following sections: 1 Hour, 33 Minutes, 19 Seconds Station 2+020 Station 2+080 Base for cut =12 m, Sideslope for cut = 1.5:1 Base for fill =12 m, Sideslope for fill = 2:1 Required: 1. What is the stationing of the end of excavation? 2. Find the volume of fill by end area method. 3. Compute the volume of excavation by end area.
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
We have,
The stationing of the end of excavation can be determined by adding the given sections to the starting station.
Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).
To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.
Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:
Area of end section = (Base for fill) * (Sideslope for fill)
Area of end section = 12 * (2/1) = 24 square meters
Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:
Volume of fill = Area of end section * Distance
Volume of fill = 24 * 60 = 1440 cubic meters
Therefore, the volume of fill by end area method is 1440 cubic meters.
Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:
Area of end section = (Base for cut) * (Sideslope for cut)
Area of end section = 12 * (1.5/1) = 18 square meters
Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:
Volume of excavation = Area of end section * Distance
Volume of excavation = 18 * 60 = 1080 cubic meters
Therefore, the volume of excavation by end area is 1080 cubic meters.
Thus,
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
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Given that Ray B A bisects ∠DBC, which statement must be true?
Answer:
C
Step-by-step explanation:
1.
Is the following statement a good definition? Why?
An integer is divisible by 100 if and only if its last two digits are zeros.
Answer:
It is, because it is clear and true. It also gets straight to the point.
Step-by-step explanation:
joyce paid $120 for an item at the store that was 30 percent of the original price. what was the original price?
The Original price of the item was $400.
Percentage can be defined as a number that denotes hundredth part of any quantity.
For Example , 50%of 30 =\(\frac{50}{100} *30=\frac{1500}{100} =15\).
In the given question
Amount paid by Joyce = $120
Let the original price =x
Percent of original price = 30%
According to the given Question
30% of x =120
\(\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400\)
Therefore , the Original price of the item was $400.
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Dwayne wants to buy a bowling ball that has a price of $120. As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball. Identify the final price Dwayne has to pay for the bowling ball. Enter your numeric answer with no label.
Answer:108.12$
Step-by-step explanation:
Dwayne will get a discount of 15% on the price of the bowling ball which is $120. The discount will be $18. So the price of the bowling ball after the discount is $102.
Dwayne will have to pay 6% sales tax on the discounted price of the bowling ball which is $102. The sales tax will be $6.12.
Therefore, the final price Dwayne has to pay for the bowling ball is $108.12.
Answer:
108.12 bc it says don't use a label
Step-by-step explanation:
15% can be written as 0.15. Same thing.
So first the discount:
120 x 0.15 = $18
He'll get an $18 discount.
120-18 = $102. That's the discounted price he'll pay.
6% tax can be written as 0.06.
$102 x 0.06 = $6.12 That's the tax he needs to pay
So in total he'll pay $102 + $6.12 = $108.12
Your question says no label so just answer 108.12.
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function:
f(x)=.075x+.2,3≤x≤5
0 otherwise
a. Graph the pdf and verify that the total area under the density curve is indeed 1.
b. Calculate P(X≤4)How does this probability compare to P(X<4)?
c. Calculate P(3.5≤x≤4.5) and also P(4.5
The solution of the given problem of probability comes out to be
a)0.35
b)0.3625
c)0.23125
What precisely is involved in the probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance integers can be represented by any number between 0 and 1, for which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) we can compute the integral of f(x) over the entire real line:
integral from -infinity to infinity of f(x) dx
= integral from -infinity to 3 of 0 dx + integral from 3 to 5 of (0.075x + 0.2) dx + integral from 5 to infinity of 0 dx
= (0.075/2)x² + 0.2x, evaluated from x=3 to x=5
= (0.075/2)(5²- 3²+ 0.2(5 - 3)= 0.35
Since the integral of f(x) over the entire real line is equal to 1, we have verified that the total area under the density curve is indeed 1.
(b) To calculate P(X ≤ 4), we can integrate the density function from x = 3 to x = 4:
P(X ≤ 4) = integral from 3 to 4 of (0.075x + 0.2)
dx = (0.075/2)x² + 0.2x,
evaluated from x=3 to x=4
= 0.3625
To compare this probability to P(X & lt; 4),
we can integrate the density function from x = 3 to x = 4:
P(X < 4) = integral from 3 to 4 of (0.075x + 0.2)
dx = (0.075/2) x²+ 0.2x,
evaluated from x=3 to x=4
= 0.3625
Since P(X ≤ 4) = P(X < 4) in this case, the two probabilities are equal.
(c) To calculate P(3.5 ≤ X ≤ 4.5), we can integrate the density function from x = 3.5 to x = 4.5:
P(3.5 ≤ X ≤ 4.5) = integral from 3.5 to 4.5 of (0.075x + 0.2)
dx = (0.075/2)x²+ 0.2x,
evaluated from x=3.5 to x=4.5
= 0.26875
To calculate P(X > 4.5), we can integrate the density function from x = 4.5 to x = 5:
P(X > 4.5) = integral from 4.5 to 5 of (0.075x + 0.2)
dx = (0.075/2)x²+ 0.2x,
evaluated from x=4.5 to x=5 = 0.23125
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PLEASE HELP.
A group of bacteria has a population of 100,000. The growth rate is 20%. How much bacteria will there be in 10 years? Use the exponential formula.
Answer:
200,000 i don't know apologies if it's wrong
Step-by-step explanation:
100,000*.20*10
200,000*10
200,000