Answer:
720 ways
Step-by-step explanation:
At first their are six books, that means that there are six different positions to put them. The first book to be placed would have 6 position, when the first book is placed, to place the second book there would be 5 position since one position has been used by the first book. After placing the second book, to place the third book there would 4 available position, and it follows this manner i.e for the fourth book 3 available position, for the fifth book 2 available position and for the sixth book, one available position.
Therefore the number of ways to arrange the books on the shelf from left to right = 6 × 5 × 4 × 3 × 2 × 1 = 6! = 720 ways
An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week, working as a civil servant. What is the regular time hourly rate of pay for this employee, and what is her total income in a month where she works 40 hours, 44 hours, 43.5 hours, and 40 hours, weekly, in the month?
A.$37.00/hr and \$6,336.25 in total income
B. $35.50/hr and \$6,079.38 in total income
C.$37.50/hr and \$6,421.88 in total income
D.$36.00/hr and \$6,165.00 in total income
Answer:
B. $35.50/hr and \$6,079.38 in total income
Step-by-step explanation:
Given the following :
Total regular pay earning for the year = $73,840
Let basic salary = b
Overtime = 1.5b
Regular earning per week :
Regular year earning / number of weeks per year
$73840 / 52 = $1420
Regular hours = 40
Regular earning per week = $1420
Regular earning per hour = $1420 / 40
Regular earning per hour = $35.50
Number of overtime hours :
4 hours + 3.5hours = 7.5hours
Overtime pay per hour = 1.5 * regular earning
Overtime pay per hour = 1.5 * 35.5 = $53.25
Total overtime pay = Overtime pay per hour * Number of overtime hours
Total overtime pay = $53.25 * 7.5
Total overtime pay = 399.375
Total pay for the month :
160 regular hours + 7.5 overtime hours
(160 * 35.5) + $399.375
$5,680 + 399.375 = $6,079.375
= $6,079.38
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F’G’H’I’
Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’?
(x,y)—> (x-8,y-7)
(x,y) —> (x-7,x-8)
(x,y) —> ( x-4,x-5)
(x,y) —> ( x-5,y-4)
Answer:
The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".
Step-by-step explanation:
In the given question some data is missing. so, the correct answer to this can be explained in the following example:
In the given example, point D is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:
⇒2-8 = -6
⇒ 5-7 = -2
It can try certain things too and see why this alone is the correct translation.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP(25 points)
Answer: I hope it helps :)
x=6 , y=6√3x =23√3 , y=23u =12 , v= 6a =18√2 , b =18x = 13 , y= 13Step-by-step explanation:
1.
[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]
2.
[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]
3.
[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]
4.
[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]
5.
[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
be a flat circle of radius 45 cm, find the area between the two consecutive ribs of
the umbrella.
Answer:
Yes.
Step-by-step explanation:
You are correct except to the nearest hundredth it is 795.54 cm^2.
The gray figure has been transformed in different ways.
Tell whether each statement is True or False.
Answer:
False ,false,true, true and true
Step-by-step explanation:
Kermit's favorite iced tea is made with 15 1515 tea bags in every 2 22 liters of water. Peggy made a 12 1212-liter batch of iced tea with 90 9090 tea bags. What will Kermit think of Peggy's iced tea?
Correct question is;
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) A It is too strong.
(Choice B) B It is too weak.
(Choice C, Checked) C It is just right.
Answer:
C - It is just right
Step-by-step explanation:
We are given that;
The Number of tea bags needed to make every 2 liters of water = 15 tea bags.
Thus,
For each liter of water, the number of tea bags needed = 15/2 = 7.5 tea bags.
Now, kermit needs to make 12 liters of iced tea.
Therefore, total number of tea bags required for 12 liters of iced tea = 12 × 7.5 = 90 tea bags.
Now, Peggy also took 90 tea bags to make a 12-liter batch of iced tea.
Therefore, kermit would think that the mixture of Peggy's tea is just right.
Correct option is C
Evaluate w+(-x)-2/3 where w= 5/9 and x=4/3
Answer:
-1/24
Step-by-step explanation:
Plug in X and W
5/8 - 4/3 - 2/3.
Combine like terms.
5/8 - 2/3.
Solve.
-1/24
Answer:
- 2 1/10
Step-by-step explanation:
Is 3/4 = 9/12 greater or less than 1/2
Answer:
greater than
Step-by-step explanation:
To compare 3/4 to 1/2, let's convert 1/2 so that it has a denominator of 4. This would then be 2/4. Because 3 > 2, 3/4 > 2/4 which means 3/4 > 1/2.
Answer:
Greater
Step-by-step explanation:
It is greater than 1/2 because when you divide the fractions you get- 1/2 = 0.5, 3/4 = 0.75 And this makes it greater.
plzzz help class 9 optional math
If tan theta =p show that sec theta*cosec theta =p+1/p
Answer:
[tex]sec(\theta) \times cosec(\theta) = \dfrac{tan^2 (\theta)+ 1}{tan (\theta)} = tan (\theta)+ \dfrac{1}{tan (\theta)} = p + \dfrac{1}{p}[/tex]
Step-by-step explanation:
The given trigonometric relations are
tan(θ) = p
sec(θ)×cosec(θ) = p + 1/p
We note that, when tan(θ) = p, we have;
p + 1/p = tan(θ) + 1/(tan(θ)) = (tan²(θ) + 1)/tan(θ)
By trigonometric ratios, we have;
tan²(θ) + 1 = sec²(θ) =1/cos²(θ) which gives;
(tan²(θ) + 1)/tan(θ) = 1/cos²(θ) × 1/tan(θ) = cos(θ)/sin(θ)×1/cos²(θ)
[tex]\dfrac{1}{cos^2(\theta)} \times \dfrac{cos (\theta)}{sin( \theta)} = \dfrac{1}{cos(\theta)} \times \dfrac{1}{sin( \theta)} = sec(\theta) \times cosec(\theta)[/tex]
Therefore;
[tex]If \ tan (\theta) = p \ then \ sec(\theta) \times cosec(\theta) = p + \dfrac{1}{p}[/tex]
Eparture time of a car is 0540 hours and it traveled for 45 minutes before it reached its destination. At what time did the car arrived at its destination : *
Answer:
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.
Step-by-step explanation:
Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.
Now add 45 mins
Hours : Minutes
5: 40
+ 45
5 : 85
But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .
Hours : Minutes
1
5: 40
+ 45
6 : 25
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.
Yo can someone please help me
Answer:
Addition Property of EqualityStep-by-step explanation:
When doing algebra, you need to reverse operations. When you reverse an operation, you use one of the properties. For example, if you add 3x to undo subtracting 3x, you are using the addition property of equality, because the equation still equal.
I'm always happy to help :)Kendra rides a bicycle on a path that is 84 miles her average speed is 7 miles per hour to find about how long the trip takes solve the distance formula d = rt for t then substitute to find the time the trip takes
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~
Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?
-----
time = distance/rate
-----
t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.
Cheers,
Stan H.
------
So the answer is 12 hours.
------
Hope this helped you. Brainliest would be nice!
A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The quadratic function h(t)=96t−16t2 gives the height h (in feet) of the debris at time t (in seconds) after the explosion. How many seconds will it take before the debris falls back to the ground?
Answer:
6 seconds
Step-by-step explanation:
We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.
0 = 96t - 16t²
0 = 16t(6 - t) -- Factor 96t - 16t²
16t = 0 or 6 - t = 0 -- Use Zero Product Property
t = 0 or t = 6 -- Solve for t
We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.
Answer: 6 seconds
Step-by-step explanation: factor
can u solve these asap pls
Step-by-step explanation:
1We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A
[tex]\frac{x}{12}[/tex] = [tex]\frac{2}{2+4}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{2}{6}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{3}[/tex] x= [tex]\frac{12*1}{3}[/tex] x= 4 2since we have two similar sides and one similar angle between them it will be SAS similarity
find the value of x. 43°
Answer: x = 137°
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.
x + 43° = 180°
x = 137°
The value of x is 137°.
What is inscribed quadrilateral?The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.
In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.
Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.
So as we know in the inscribed quadrilateral opposite angles are supplementary.
So sum of those opposite angles in the quadrilateral is 180°.
so we can write x+43°= 180°
⇒ x = 180°- 43°
⇒ x = 137°
Therefore the value of x is 137°.
Learn more about inscribed quadrilateral
here: https://brainly.com/question/26690979
#SPJ2
Solve the inequality. |2k + 1| ≥ 5
Answer: k ≥ 2 and k ≤ -3
Step-by-step explanation:
When answering a problem like this, normally, you first isolate the absolute value. As it is already isolated, the next thing you do is split the equation into 2k + 1 ≥ 5 and 2k + 1 ≥ -5, because the contents of the absolute value could be negative or positive, and simplifying both into k ≥ 2, and k ≤ -3.
Hope it helps <3
Identify the image of ∆XYZ for a composition of a 50° rotation and a 40° rotation, both about point Y. Plz give an explanation will give brainiest.
Answer:
Answer D
Step-by-step explanation:
Triangle XYZ is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.
If there we're 25 people in class voting,how many votes does it take to win a majority?
Answer:
it takes 13 votes to win a majority
Step-by-step explanation:
half+1 in the case of 25
it takes 13 votes to win a majority ( because there is nothing called half vote)
If sin θ=4/5 and 90°<θ<180°, what is cos θ?
Answer:
Cos ∅ = 3/5
BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.
Thus cos∅= -3/5
Graph the data set.
{(-1, 0.5), (0, 1), (1, 2), (3, 8), 5, 32)}
Which kind of model best describes the data?
a. quadratic
b. exponential
c. linear
d. cubic
Answer:
b. Exponential
Step-by-step explanation:
We are given the coordinates as the data set:
[tex]\bold{\{(-1, 0.5), (0, 1), (1, 2), (3, 8), (5, 32)\}}[/tex]
First of all, let us plot the given coordinates on the xy coordinate axis.
Let us have a look at the values of x and y first.
A pair is represented as (x, y) i.e. first value is of 'x' and the second value is of 'y'.
[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 0.5 \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 5 & 32\end{tabular}\end{center}[/tex]
If we plot them on the graph, we get the graph as the image attached in the answer area.
Let us join the coordinates using a curve.
If we closely look at the graph, there is a sudden increase with increasing value of 'x'.
Actually the increase is exponential.
Observing the given coordinates, we can see that they are in the form:
[tex](x, 2^x)[/tex]
i.e. [tex]y =2^x[/tex]
So, the exponential model best describes the data.
Correct answer is:
b. exponential
A ball is dropped from a window 24 m high. How long will it take to reach the ground? Acceleration is 9.8 m/s^2 because of gravity. PLS SHOW WORK
Answer:
0.638 seconds
Step-by-step explanation:
Since the ball is being dropped from a height of 24 meters, the equation will look like this:
24=9.8/s^2.
This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.
Solve the equation:
24(s^2)=9.8
(s^2)=0.408
s^2=0.408
root the number:
0.638
you can round it to the nearest whatever it's asking you to round it to
Im not an expert, so please excuse me if it's not done correctly
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.
In this case: [tex]5(x-7)=55[/tex]
We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.
[tex]5x - 35 = 55[/tex]
So the property used to write the equation in Step 2 was the distributive property.
Hope this helped!
Answer:
the answer is didrtbutive
Step-by-step explanation:
hope it helps.
have a good day:)
A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stamps at $16/sheet plus $50 to create the image. They plan to sell each sheet for $20. a) Write an equation that represents the cost of obtaining the stamps. b) Write an equation that represents the income from sales. c) For each equation, set up a table of values. d) Graph each equation on the same set of coordinate axis. e) What is the minimum number of sheets the group must sell so they don't lose any money? f) How much profit will they make if they sell 500 sheets?
Answer:
a) Cost
[tex]C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050[/tex]
b) Sales income
[tex]S(q)=20q\\\\S(500)=20\cdot 500 = 10,000[/tex]
c) Table of values
[tex]\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right][/tex]
d) Attached
e) Breakeven point = 12.5 sheets
f) Profit at 550 sheets = $1,950
Step-by-step explanation:
a) We have a fixed cost for the image, at $50.
We also have a variable cost of $16 a sheet.
The purchased quantity is 500 sheets.
Then, the cost function is:
[tex]C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050[/tex]
b) The price for each sheet is $20, so the income from sales are:
[tex]S(q)=20q\\\\S(500)=20\cdot 500 = 10,000[/tex]
c) Table of values
[tex]\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right][/tex]
d) Attached
e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:
[tex]S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5[/tex]
f) This profit can be calculated as the difference between the sales income and the cost:
[tex]P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950[/tex]
The given number of 500 sheets of stamps purchased at $16/sheet with
a plan to sell each sheet for $20 gives the following values;
(a) Cost, C = 50 + 16·q
(b) Income, R = 20·q
(c) Please find the included table of values and the attached graph
(e) Approximately 403 sheets
(f) $1,950
Which method can be used to derive the equations?
(a) The cost per sheet of stamp = $16/sheet
The cost to create the image = $50
Amount at which they plan to sell each sheet, P = $20
Therefore
Cost of obtaining the stamps, C = 50 + 16·q(b) The income from sale, R = Number of units sold × P
Which gives;
R = 20·q(c) The table of values are therefore;
C = 50 + 16·q
[tex]\begin{array}{|c|c|c|}q&C=50+16 \times q\\0&50\\1&66\\2&82\\3&98\\4&114\\5&130\\6&146\\7&162\\8&178\\9&194\\10&210\\11&226\\12&242\\13&258\\14&274\end{array}\right][/tex]
R = 20·q
[tex]\begin{array}{|c|c|c|}q&R = 20 \times q\\0&0\\1&20\\2&40\\3&60\\4&80\\5&100\\6&120\\7&140\\8&160\\9&180\\10&200\\11&220\\12&240\\13&260\\14&280\end{array}\right][/tex]
Please find attached the required graph created with MS Excel
e) The minimum number of sheets the group must sell is given as follows;
The cost of the sheets purchased = 50 + 16 × 500
Which gives;
At point of profitability; Income = Cost
50 + 16 × 500 = 20·[tex]q_{min}[/tex]
[tex]q_{min} = \dfrac{50 + 16 \times 500}{20} =402.5 \approx \mathbf{403}[/tex]
The minimum number the sheets they must sell, [tex]q_{min}[/tex] ≈ 403 sheets(f) The profit made by selling 500 sheets is; 20·q - (50 + 16·q)
Where;
q = 500
Which gives;
20 × 500 - (50 + 16 × 500) = 1,950
The profit made from selling 500 sheet = $1,950
Learn more about graphs of functions here:
https://brainly.com/question/22150463
can anyone help me please
Answer:
It is -1
Step-by-step explanation:
You have to use pemdas, so 5 squared is 25. Than 25 times 4 is 100. Than 2-100 is -98. Than -98/7 is -14. Than you have to add 12 and 1 so the answer is -1.
the answer of mine is also 5
4 lemon are brought for Rs. 10 and sold 3 for Rs. 10 ,what is the profit %
Answer:
The profit is Rs 2.5Step-by-step explanation:
In other to solve for the profit we have to solve for the unit cost of one lemon first
If 4 lemons cost Rs. 10
then 1 lemon will cost= 10/4= Rs 2.5
knowing that one cost Rs 2.5
cost price of three would be 3* Rs 2.5= Rs 7.5
Since three was sold for Rs. 10.
The profit made is
cost of three- selling price of three= Rs. 10- Rs 7.5= Rs 2.5
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Answer:
[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms of the sequence, that is
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3
The recursive formula is of the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex] = - 3[tex]a_{n-1}[/tex]
The quadratic equation 4x2 + 45x + 24 = 0 was solved using the Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a. One solution is −10.69. What is the other solution? Round to the hundredths place.
Answer:
The other solution is 0.56
Step-by-step explanation:
The quadratic equation is;
4x^2 + 45x + 24
a is the coefficient of x^2 which is 4
b is the coefficient of x which is 45
c is the third number which is 24
Using the quadratic formula, we have
x = {-b ± √(b^2-4ac)}/2a
So inputing the values we have highlighted above, we have
x = {-45 ± √(45^2-4(4)(24)}/2(4)
x = {-45 ± √(2025-4(4)(24)}/2(4)
x = {-45 ± √1641}/2(4)
x = {-45 ± 40.51}/2(4)
x = (-45+40.51)/8 or (-45-40.51)/8
x = 0.56 or -10.69
Answer:
-0.56
Step-by-step explanation:
The guy above was nearly correct, not correct. He said it was positive when it is actually negative.
Hope this helps!
The two triangular prisms shown are similar. The
dimensions of the larger prism were multiplied by a
scale factor of to create the smaller prism.
When the large prism was reduced, the surface area
changed by a factor of
125
10
8
25
8
10
о
who arlin aloo
8
10
10
8
Answer: The surface area is reduced by a factor of 16/25
Step-by-step explanation: The area is the square measurements. So squaring the factor of the linear measurement change is the quick way is to determine the factor for the area.
The longer way-- if you had to prove your conclusion:
Compute the area of each side, add all the five sides of the prisms and find the ratio.
The area of the large prism is 500 square units.
The area of the smaller prism is 320 square units
320/500 = 32/50, reduce again 16/25
Answer:
B. 16/25
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!
Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins. How many lira coins does she have?
Answer: She has 21 lira coins.
Step-by-step explanation:
Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.
Let x = the number of lira coins.
y= the number of drachma coins.
z= the number of peseta coins.
Then, as per given, we have
x+y+z=83 (i)
x+y=53 (ii)
x+z=51 (iii)
From (ii) and (iii)
y=53-x
z=51-x
Put these values in (i) , we get
x+(53-x)+(51-x)=83
⇒ x+53-x+51-x=83
⇒ 104-x=83
⇒104-83=x
⇒x= 21
Hence, she has 21 lira coins.