The five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1 and the numbers should be of form p/q where p or q should be a taxicab number.
According to the question,
To represent 5 rational numbers on line, the numbers should be of form p/q where p or q should be a taxicab number.
A taxicab number is a smallest integer can be expressed as a sum of two positive integer cube.
The most famous taxicab number is 1729. Thus,
1729 = 1³ + 12³
1729 = 9³+ 10³
Now, 2 = 1³ + 1³ so, 2 is the first taxicab number. Therefore, five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1.
In 1/1729 -> 1729 is taxicab number
In 1/2 -> 2 is taxicab number
In 3/2 -> 2 is taxicab number
In 1/1729 -> 2 is taxicab number
In 1729/1 -> 1729 is taxicab number
Hence, five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1 and the numbers should be of form p/q where p or q should be a taxicab number.
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The student council is selling carnations for Valentine's Day. Two different shops can provide these flowers. . Gracie's Flowers charges a $5.00 fee per order plus $0.75 per carnation Ben's Blooms charges a $10.00 fee per order plus $0.25 per carnation for an order. Gracie tells you the equation that would work with her shop: Using c to represent the total cost for an order of carnations and n to represent the number of carnations in the order, her equation is c=0.75n + 5.00 Ben is not sure how to write the equation for his shop. Fill in the following blanks to help him: C = nt
9514 1404 393
Answer:
c = 0.25n +10.00
Step-by-step explanation:
The form of the equation is ...
c = <cost per carnation>n + <fixed fee>
For Ben's shop, the equation would be ...
c = 0.25n + 10.00
Write a proportion for brainliest
Answer:
B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]
Step-by-step explanation:
The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.
I hope it helps and is correct!
AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.
Pls help 10 points
Answer:
Step-by-step explanation:
Since, BC and DC are the sides of a regular polygon,
m(DC) = m(BC)
Opposite angles of these equal sides will be equal in measure.
m∠DBC = m∠CDB = v
By triangle sum theorem,
m∠DBC + m∠CDB + m∠DCB = 180°
v + v + 140° = 180°
2v = 40°
v = 20°
Since angle 'x' is an exterior angles of ΔBCD,
x = m∠BDC + m∠CBD [By the property of exterior angles]
x = v + v
x = 40°
Since, angles v, w and x are the linear angles,
v + w + x = 180°
20° + w + 40° = 180°
w = 120°
Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]
n = Number of sides
40° = [tex]\frac{360}{n}[/tex]
n = 9
Sum of angles formed at the center by joining vertices of the polygon = 360°
Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]
= 40°
Since, z = 3 × (Measure of central angle formed at the center)
= 3 × 40°
= 120°
In ΔOAB,
m∠OAB + m∠OBA + m∠AOB = 180°
y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]
2y = 140°
y = 70°
Is A PQR-AXYZ? If so, name which similarity postulate or
theorem applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
D. Cannot be determined
Step-by-step explanation:
Similarly between given triangles can not be determined because given information are insufficient.
The correct option for the given triangles is D. Cannot be determined
What are similar triangles?Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.
Two shapes are Similar when one can become the other after a resize, flip, slide or turn.
Given are two triangle PWR and XYZ we need to determine whether they are similar or not,
So, we only have measurement of a pair of sides and measurement of an angle,
We have some similarity rules by which we can prove two triangles to be similar, they are :-
AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)
Since, we do not enough information to conclude our discussion.
Hence, the correct option is D. Cannot be determined
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2horas 3 minutos 47 s as
Answer: I dont understand.
Step-by-step explanation:
Can you conclude that these triangles are congruent?
Yes or no
Answer:
Yes
Step-by-step
If there flipped then they’re congruent
Answer:
Yes
Step-by-step explanation:
Here we get two triangles,
In triangle MNH. In triangle JKH
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico
please help
Number of shirts a department store bought = 200
Cost price of 200 shirts = $5400
Cost price of 1 shirt :
[tex] =\tt \frac{5400}{200} [/tex]
[tex]\color{plum} =\tt \$27[/tex]
Thus, the cost price of one shirt = $27
Price at which the department store sold each shirt = $30
Which means :
▪︎Cost price of shirt = $27
▪︎Selling price of shrit = $30
Since selling price is greater than cost price, there was a markup in the price of the shirts.
We know that :
[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]
Markup percentage in the price of the shirts :
[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]
[tex] = \tt \frac{3}{27} \times 100[/tex]
[tex] = \tt \frac{3 \times 100}{27} [/tex]
[tex] = \tt \frac{300}{27} [/tex]
[tex] \color{plum} = \tt11.1 \%[/tex]
Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]
Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]
Answer:
11.11%
so mark me as brainlist
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
14.81 radians/second
Step-by-step explanation:
15 POINTS! PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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how to factor this expression
x^3 - 4x^2 + 4x - 16
‘Find the value and figure of B’
Answer:
b = 12 in
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
b^2 + 9^2 = 15^2
b^2 = 225 - 81
b^2 = 144
b = 12
Answer: b = 12 in
The measure of an angle is 89. Find the measure of its supplement
Step-by-step explanation:
Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.
[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎
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Find 6m if m = 5/13
6 5/13
5
2 4/12
5/78
Answer the photo below thanks
Answer:
D.
Step-by-step explanation:
3/6 = 30/60
Answer:
The answer is D
Step-by-step explanation:
3/6 = 30/60
If you divide the top and bottom of 30/60 by 10 you get 3/6
Hope that helps
An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?
Answer:
option a c d are correct
Step-by-step explanation:
Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).
Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Given points representing a bowl and a tool are (1, 4) and (3, 10).
Since, an item is burried at the midpoint of the segment joining bowl and tool,
Use the expression for the position of the mid-point of the segment.
Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]
→ (2, 7)
Hence, position of the burried item will be at (2, 7).
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Write an integer for this situation: 5 feet below sea level
three times the cost is 24$.
Answer:
72
Step-by-step explanation:
24 x 3 = 72
20 x 3 = 60
4 x 3 = 12
60+12= 72
Classify the real numbers as rational or irrational numbers.
Answer:
omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational
Step-by-step explanation:
Rational numbers
-5/250
[tex]\sqrt{400}[/tex]
irrational numbers
5.01212121212....
[tex]\sqrt{1,000}[/tex]
[tex]\sqrt[3]{30}[/tex]
0.01562138411....
Step-by-step explanation:
sorry i answered late
1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.
Answer:
[tex]55 \leqslant x < 65 [/tex]
Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?
Answer:
2.88
Step-by-step explanation:
don’t understand........
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E
Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.
Step-by-step explanation:
Verify that the given segments are parallel.
Answer:
Step-by-step explanation:
M and N and QR
HELPPP 40 POINTSS......
Answer:
the answer is 4
Step-by-step explanation:
Answer: The answer to question 3 is 6. The answer to question 4 is 4.
Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.
5 examples of theorems in math. :")
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. What is the distance between the heights of the pelican and the heron
A.67 feet
B. -67
C. 33
D.-33
Answer:
Its C
Step-by-step explanation:
So is 0.147 a rational number?
Answer:
Yes because it is a terminating decimal.
Step-by-step explanation:
Please answer this question with a complete answer
Answer:
true, false, true
Step-by-step explanation:
first one:
|-3.17|=3.17
-3.17 cannot be negative away, so it must be positive.
second one:
|7.29|=7.29
not equal to -7.29
third one:
no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines
brainliest plz
Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2
Answer:
237
Step-by-step explanation:
The area of the regular octagon is 237 cm^2
How to determine the area?The given parameters are:
Apothem (a) = 8.45
Side length (s) = 7
Number of sides (n) = 8
The area of the regular octagon is then calculated as:
A = 0.5 * a * n * s
This gives
A = 0.5 * 8.45 * 8 * 7
Evaluate the product
A = 236.6
Approximate
A = 237
Hence, the area of the regular octagon is 237 cm^2
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