Answers
Answer:
option D
Step-by-step explanation:
Convert the mixed fraction to improper fraction.As denominators are different, find the LCM of denominators.Find equivalent fractions using the LCMNow subtract and then convert improper fraction to mixed fraction.[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]
LCM of 6 , 3 = 6
[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]
[tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]
Related Questions
You want to prove that FHG is similar to RXS by the SSS Similarity Theorem. Complete the proportion that is needed to use this theorem.
Answers
Answer:
[tex]\frac{FH}{RX} =\frac{HG}{XS} =\frac{FG}{RS}[/tex]
Step-by-step explanation:
The order of the letters matters in any similarity theorem.
When triangle FHG is similar to triangle RXS, the lengths of FH must be similar to RX.
When 2 similar lines are divided, that number is the factor by which one triangle can be dilated to match the other.
That being said, each of these proportion statements can be read as individual division expressions that equal the next division expression.
This means [tex]FH\div RX = HG\div XS = FG\div RS[/tex].
If you look at it this way, you can see that the sides you need to fill in must be the corresponding similar sides, so that you end up with the factor for the dilation of the 2 triangles.
Devika buys 30 notebooks and 15 pens. Each book costs Rs40 and that of each pen is Rs15. Find out the total amount she spent.
Answers
Answer:
1425
Step-by-step explanation:
Each notebook costs 40, if she buys 30 you can find the total price of notebooks by multiplying the two numbers:
[tex]40*20=1200[/tex]
Each pen costs 15, the same process can be used, multiply price by quantity:
[tex]15*15=225[/tex]
Now just sum the two numbers to find the final price:
1425
Answer:
Step-by-step explanation:
30*40+15*15=
1200+625=
Rs1625
hope this helps
I dont understand:
let CAN be a right triangle with angle C being right angle, side c is 26 cm and side n is 6 cm determine the perimeter of the triangle CAN correct to one decimal enter numerical value only
maybe is my bad english but I dont get it someone can please help?
Answers
Using the Pythagorean Theorem, the perimeter of the triangle is of 58.7 cm.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
From your description, I will suppose that the legs are of 6 cm and 26 cm, hence the hypotenuse is:
[tex]h^2 = 6^2 + 26^2[/tex]
[tex]h = \sqrt{6^2 + 26^2}[/tex]
h = 26.7.
The perimeter is the sum of the lengths of the three sides, hence:
P = 26.7 + 26 + 6 = 58.7 cm.
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A river flows at 2m/s . Juan's boat can travel twice as fast down the river as it can go up the river. how fast the boat go in still water?
Answers
Using proportions, it is found that the boat can go 6 m/s in still water.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Down the river, the speed is v + 2.Up the river, the speed is v - 2.He goes twice as fast down the river, hence:
v + 2 = 2(v - 2).
v + 2 = 2v - 4
2v - v = 2 + 4
v = 6.
The boat can go 6 m/s in still water.
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. A special safe lets you choose from 9 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there
Answers
The question is an illustration of combination and there are 729 potential pass codes available
How to determine the number of potential pass codes?The given parameters are
Symbols available = 9
Length of pass code = 3
From the question, we understand that a symbol may be entered any number of times.
This means that each of the 9 available symbols can be used three times
So, the number of potential pass codes is
Passcodes = 9 * 9 * 9
Evaluate the product
Passcodes = 729
Hence, there are 729 potential pass codes available
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Can someone help me on this pls? It’s urgent, so ASAP (it’s geometry)
Write formal proofs using HL Theorem.
Answers
Question 2
1) [tex]\overline{PR} \perp \overline{QS}[/tex], [tex]\overline{PQ} \cong \overline{PS}[/tex] (given)
2) [tex]\overline{PR} \cong \overline{PR}[/tex] (reflexive property)
3) [tex]\angle PRQ[/tex] and [tex]\angle PRS[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle PRQ[/tex] and [tex]\triangle PRS[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\triangle PRQ \cong \triangle PRS[/tex] (HL)
Question 3
1) [tex]\angle C[/tex] is a right angle, [tex]\overline{AC} \cong \overline{AE}[/tex], [tex]\overline{DE} \perp \overline{AB}[/tex] (given)
2) [tex]\angle DEA[/tex] is a right angle (perpendicular lines form right angles)
3) [tex]\triangle ACD[/tex] and [tex]\triangle DAE[/tex] are right triangles (a triangle with a right triangle is a right angle)
4) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)
5) [tex]\triangle ACD \cong \triangle AED[/tex] (HL)
6) [tex]\angle CAD \cong \angle DAE[/tex] (CPCTC)
7) [tex]\overline{AD}[/tex] bisects [tex]\angle BAC[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)
John's dad is 30 years old than john. if john were three times ad old as he is now,he would still be younger than his dad. what is the oldest that john could be right now
Answers
john could be right now 45
What is word problem in math?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."
According to the question:
John's dad is 30 years old than john .In essence, x = y -30 .................equation 1And
john were three times ad old as he is now.y=3xSolution for the above equation:
[tex]x=y-30, y=3 x \quad\\ \quad x=15, y=45[/tex]
steps:
[tex]x=y-30 \\y=3 x[/tex]
Substitute :[tex]$y=3 x$[/tex]
[tex][x=3 x-30][/tex]
[tex]for $$x=3 x-30: \quad x=15[/tex]
For [tex]$y=3 x$[/tex]
Substitute: [tex]$x=15$[/tex]
[tex]y=3 \cdot 15[/tex]
Simplify:
[tex]y=45[/tex]
The solutions to the system of equations are: [tex]$x=15, y=45$[/tex]
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The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices provided T F
Answers
There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).
What is Descarte's rule of signs?Descarte's rule of signs tells about the number of positive real roots and negative real roots.The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.Calculation:The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]
On applying Descarte's rule of signs,
[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]
Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.
[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]
Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.
Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).
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In Wagnerian music drama, a basic recurring theme representing a person, object, event, or emotion is known as:
Answers
In Wagnerian music drama, a basic recurring theme representing a person, object, event, or emotion is known as Leitmotif.
Leitmotiv, from the German "leading motive," is a recurrent musical motif that typically appears in operas but can also be found in symphonic poems.Overture to a concert. Romantic-era concert piece for orchestra in one movement, frequently based on a literary program.What is serious opera called?
Opera seria, or "serious opera," is an Italian operatic genre that was popular in 18th-century Europe. The genre is commonly referred to as Neapolitan opera since it first appeared in the late 17th century, particularly in the works of Alessandro Scarlatti and other composers based in Naples.What is Wagnerian leitmotif?
A theme of easily recognizable melodic, rhythmic, or harmonic identity, first used in connection with a certain character of incident, and which returns time and time again, always with a recollection of the original association. The term was coined by the Wagnerian scholar Hans von Wolzogen.Learn more about leitmotif
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HELP ASAP AND GET 20 POINTS!!!
Answers
Answer:
A
Step-by-step explanation:
point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.
Answer:
A. Circumcenter
Step-by-step explanation:
this is the point that has the same distance from all 3 vertexes.
being on the median line of DE, every point of that line has the same distance to D and E.
being also on the median line of FE means it has the same distance from F and E as every other point on that line.
and the same for DF.
H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.
so, H is the center of a circle that goes through all 3 points.
Which system models this situation? y = 26x and y = 8,400(x-500)2 15,900 y = 26x and y = -0.030(x-500)2 15,900 y = x/26 and y = -0.030(x-500)2 15,900 y = x/26 and y =8,400(x-500)2 15,900
Answers
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
According to the statement
we have given that Vertex
(h,k) = (500, 15900)
And One of the points on the graph
(x,y) = (0,8400)
FIRST PART: we have to find the quadratic function
We can find the quadratic function by parabola's equation formula
y = a (x - h)² + k -(1)
Input the numbers to the formula, to find the value of a
y = a (x - h)² + k
8400 = a(0 - 500)² + 15900
8400 = a (500)² + 15900
8400 = 250000a + 15900
-250000a = 15900 - 8400
-250000a = 7500
a = 7500/-250000
a = 0.03
Now,
Submit a to the formula (1)
y = a (x - h)² + k
y = 0.03 (x - 500)² + 15900
this is the quadratic equation.
SECOND PART: Find the linear function
the total cost = cost each helmet × the number of helmet
y = 26x
So,
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
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Disclaimer: This question was incomplete. Please find the full content below.
Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)
x= number of helmets
y = amount in dollars
Which system models this situation?
a) y = 26x and y = 8,400(x-500)2+15,900
b) y = 26x and y = -0.030(x-500)2+15,900
c) y = x/26 and y = -0.030(x-500)2+15,900
d) y = x/26 and y =8,400(x-500)2+15,900
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Answer:
B. y = 26x and y = -0.030(x-500)2+15,900
Step-by-step explanation:
Beau Thai has a rectangular mirror with a length of 6 inches and a width of 10 inches.
a) How much ribbon could Beau wrap around the outside of the mirror?
b) What is the area of Beau Thai's mirror?
Answers
a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. Area of the Beau Thai's rectangular mirror around = 60 square inches.
What is the Area of a Rectangle?Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.
What is the Perimeter of a Rectangle?Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.
a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Perimeter = 2(6 + 10)
Perimeter = 2(16)
Perimeter = 32 inches
Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Area = (6)(10)
Area = 60 square inches
Area of the Beau Thai's rectangular mirror around = 60 square inches.
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How to find the answers?
Answers
The computation shows that the value of blue which is represented by x is 12.
How to calculate the value?From the information given, it was stated that 30 people were in the kindergarten.
Green = 10
Red = 8
Blue (x) = 30 - (10 + 8)
= 30 - 18
= 12
Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.
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Please help me i don’t understand
Answers
The graph of the inverse of the function is shown in the image attached below.
How to graph the inverse of a function
In this question we must apply the following transformation rule to the three points to determine the points of the inverse function:
(x, y) → (y, x)
Now we proceed to find the points:
(- 7, 3) → (3, - 7)
(-3, 0) → (0, -3)
(-2, -2) → (-2, -2)
Lastly, we proceed to construct the graph of the inverse of the function.
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In total, 2 baseballs and 3 footballs cost $67. a football is $4 more than 3 times the cost of a baseball. find the cost of a baseball
Answers
The cost of the Baseball is $5.
Lets take football cost as "x"
And taking baseball cost as "y"
According to given conditions,
2y + 3x = 67
x= 3y + 4
Lets put the values of x in equation (1):
2y + 3 (3y+4) = 67
=> 2y + 9y + 12 = 67
=> 11y = 55
y = 5
x = 3(5) + 4
x = 19
Hence the cost of the Baseball is $5.
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The minimum point on the graph of the equation y=f(x) is (−1,−3). What is the minimum point on the graph of the equation y=f(x−5)? A. (4,−3) B. (−1,−8) C. (−1,−3) D. (−7,−3)
Answers
Answer:
(4, -3)
Step-by-step explanation:
y = f(x -5) means y = f(x) shifted 5 units to the right. So the minimum point would shift 5 units to the right as well.
7. Find the equation of the line passing through the
points P(-2,7) Q(2,-3)
Answers
Answer: y=[tex]-\frac{5}{2} x+2[/tex]
Step-by-step explanation:
Use the equation of the line format: y = mx + b
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-3-(7)}{2-(-2)}[/tex]
[tex]m=\frac{-10}{4}[/tex]
simplified
[tex]m=\frac{-5}{2}[/tex]
in order to find B:
[tex]y = -(\frac{5}{2}) *(-2)+b[/tex]
Insert value of y:
[tex]7 = (-\frac{5}{2} ) * (-2) +b[/tex]
Rewrite:
[tex]-\frac{5}{2} * -2 - b=7[/tex]
Cancel the common factor of 2:
[tex]-5 * -1 +b = 7[/tex]
Multiply -5 by -1:
[tex]5 + b= 7[/tex]
Subtract 5 from both sides:
[tex]b = 7-5\\b=2[/tex]
Now substitute values of m, and the final answer is:
[tex]y = -\frac{5}{2}x + 2[/tex]
Denise wants to enlarge her prom photo. She wants to increase the
size 4 times the original photo. If the original photo is 6 inches by 8 inches,
how many times larger is the new photo?
4
40
16
8
Answers
After enlargement, the new photo would be 16 times larger. The answer is C: 16.
What is an Enlargement?An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.
Given the following:
Dimension of original photo = 6 inches by 8 inches
Scale factor = 4
To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:
6 × 4 = 24 inches
8 × 4 = 32 inches
New dimensions = 24 by 32
Area of original photo = 6 × 8 = 48 in.²
Area of new photo = 24 × 32 = 768 in.²
768/48 = 16
This means that the new photo is 16 times larger than the original photo.
The answer is: C. 16.
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please help i need help solving this
Answers
Answer:
1.D 2.C 3.A 4.B
Step-by-step explanation:
hope this helped
The mean of one set of five numbers is 13, and the mean of a separate set of six numbers is 24. What is the mean of the set of all eleven numbers
Answers
Answer:
((24+13)/28.5
Step-by-step explanation:
A machine fills bags with sweets there are 4275 sweets there are 28 sweets in each full bag the machine fills as many bags as possible how many sweets are left must show your working
Answers
19 sweets are lefted.
Lets simplify the problem,
Maximum no. of bag filled by 4275 sweets
Through Simple Division we get,
4275/28 ~=152
Therefore , there is 4256 sweets in 152 bags
Therefore, 4275-4256=19 sweets are left
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Find the probability of randomly selecting 3 red pencils from a box containing 5 red, 3 blue, and 4 green pencils.
Answers
The probability of selecting 3 pencils from a box of 5 red , 3 blue, 4 green pencils is 60/1320.
Given that box contains 5 red pencils, 3 blue pencils abd 4 green pencils.
We have to calculate the probability that 3 red pencils are selected from box. Probability is the likeliness of happening an event among all the events possible.It lies between 0 and 1. The formula of calculating probability is as under:
Probability = number of items/ total items.
Number of pencils in box=12
Number of red pencils=5
Number of blue pencils=3
Number of green pencils=4
Probability of randomly selecting 3 red pencils will be 5*4*3/12*11*10 if pencil is not replaced after drawn of pencil.
=60/1320
=1/22
Hence the probability that 3 red pencils are selected is 1/22.
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Hey I appreciate the help thank you
Answers
Answer:
60 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle are 180. The bottom triangle give you two of the angle measurements (43 and 35) Take 180 - 43 -35 = 102. Angle E is 102. Vertical angles are congruent so that mean that we can use that to find angle a. Again, the sum of the interior angles adds up to 180. 180 - 102 - 18 gives us the measurement of angle a (60)
HELP PLEASE!)
A square pyramid has surface that is covered in dark glass. The sides of the pyramid are 456 feet in length. The slant height of the pyramid is 185 feet.
Find the lateral surface area to determine the square feet of glass needed to cover the surface of the pyramid.
Answer choices
376,656 ft^2
42,180 ft^2
337,440 ft ^2
168,720 ft^2
Answers
1. square the bases (456 x 456 = 207936)
2. four triangles 4(1/2 x base x height) which would be 4(1/2 x 456 x 185) = 168720
then add up 168720 + 207936 = 376656
hope this helps :D
Select the correct answer from the drop-down menu.
Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, where c is the number of centimeters on the map and m is the corresponding real-world distance in miles.
If they cover a distance of 18 miles, that would mean a distance of
centimeters on the map.
Answers
Answer:
13.846153846
Step-by-step explanation:
Its easy Just 18:1.3=13.846153846
the area of a rectangle is 344in²; if the length is 78in, find the width and perimeter of the rectangle
what is the width and perimeter
Answers
Quick algebra 1 assignment for 50 points!
Only answer if you know the answer, tysm!
1. Create 5 questions referencing “Relations and Functions” Below is an example of this.
——————————————————————
Example :
Is the set of ordered pairs below a function? Yes or no, explain your reasoning.
{(4,6),(10,-2),(13,7),(15,8),(10,11)}
——————————————————————
2. Answer each question and show a brief step by step process on how you got the answer to each of your questions.
Answers
As per definition
In. a function every domain has an unique range of it
f(x)=yHere
f(4)=6f(10)=-2f(13)=7d(15)=8f(10)=11f(10) has two corresponding values hence it's not a function
When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 2 or a 3?
A. 1:1
B. 1:2
C. 1:3
D. 1:5
Answers
Answer:
C
Step-by-step explanation:
There are 6 outcomes and you are seeking 2 of them.
2/6 or 1/3 1:3
Diane is filling a candle order for a wedding. She needs 6 large arrangements and 13 small arrangements .The large arrangements each contain 25 candles. The small arrangements each contain 12 candles. How many candles does diane need in all?
Answers
Answer:
406 candles in all.
Step-by-step explanation:
She needs 6 large arrangements with 25 candles in each arrangement.
Multiply 25 and 6 to find how much candles for all large arrangements combined.
25*6=150
She also needs 13 small arrangements with 12 candles in each arrangement.
Multiply 13 and 12 to find how much candles for all the small arrangements combined.
13*12=156
Add the answers together to find how many candles in all.
156+150=406.
She needs 406 candles in all.
Hope this helps!
Answer:
306
Step-by-step explanation:
First we find the number of candles needed for each size of arrangement.
Large Arrangements:
6 large arrangements with 25 candles each:
25 × 6 = 150
Small Arrangements:
13 small arrangements with 12 candles each:
13 × 12 = 156
Now we add the results above to find a grand total:
total = 150 + 156 = 306
Help me with this please
Answers
Answer:
Step-by-step explanation: