Final answer:
The Great Wall of China was approximately 3,000 miles long.
Explanation:
The Great Wall of China was 10,000 li long. In this case, li is a unit of measure. We are told that 2 li is approximately equal to 0.6 miles. To find how many miles the Great Wall is, we can set up a proportion:
2 li = 0.6 miles
10,000 li = x miles
To solve for x, we can cross multiply and divide:
10,000 li * 0.6 miles = 2 li * x miles
6,000 miles = 2x
x = 6,000 / 2
x = 3,000 miles
Therefore, Shih Huangdi's Great Wall of China was approximately 3,000 miles long.
can someone please help with this question.
Answer: d) (-1, 0); 2
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r²
(h, k) is the centerr is the radius(x +1)² + y² = 4 can be rewritten as: (x - (-1))² + (y - 0)² = 2²
→ (h, k) = (-1, 0)
→ r = 2
Jefferson middle school is selling tickets to a choral performance. On the first day of ticket sells they sold 4 adult tickets and 1 child ticket for a total of 55 dollars on the next day of sales they sold 3 adult ticks and 2 child tickets for a total of 50 dollars find the price of an adult and child ticket
Answer:
Adult is $12 and child is $7
Step-by-step explanation:
Adult=x and Children=y
first day: 4x+1y=55
second: 3x+2y=50
Get one letter the same but opposite
(4x+1y=55) times that by -2
-8x+-2y=110
3x+2y=50
minus all of that u get
-5x=60
divide 60 by 5
x=12
fill in X
3(12)+2y=50
36+2y=50
-36 -36
2y=14
/2 /2
y=7
The question is about solving a system of equations representing the sales of adult and child tickets. You would use either substitution or elimination methods to find the individual prices of the adult (A) and child (C) tickets.
Explanation:The subject of your query pertains to system of equations. In this problem, we can establish two equations based on the information provided: 4A + C = 55 and 3A + 2C = 50, where A represents the cost of an adult ticket and C is the cost of a child ticket. We can solve this using the substitution or elimination method. If we solve the first equation for A, we will obtain A = (55-C)/4. Substituting this into the second equation gives us 3((55-C)/4) + 2C = 50. Simplifying and solving this equation will provide us with the cost of the child ticket (C), which we can then substitute back into one of our original equations to find the price of an adult ticket (A).
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HVAC technician average salary = $28/hour with a one-year Tech school certification costing an average of $7,500. What would your first pay be for your first year a work? Assume you work a 40 hour week for 50 weeks.
Answer:
The answer will be
$56,000
Step-by-step explanation:
40 times 28 times 50
consider the formula F=NM/P, where F represents the fertility of the soil. N represents the amount of nutrients in the soil. M represents the amount of moisture in the soil. And P represents the amout of pollutants in the soil. select an apropriate measurment unit for fertility of soil
The options are missing, so i have attached it.
Answer:
Measurement unit for F = (Nutrients • Moisture)/Pollutants.
Option C is correct
Step-by-step explanation:
From the question, we are given the formula; F = NM/P
where;
N is the amount of nutrients in the soil
M is the amount of moisture in the soil.
P is the amount of pollutants in the soil
From the definition of the terms above, the units of the can be expressed as;
N = nutrients
M = moisture
P = pollutants
Thus, the measurement unit for fertility is;
F = NM/P = (Nutrients • Moisture)/Pollutants
Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the reduced trapezoid. Her work is shown below.
A trapezoid with side lengths 30 centimeters, 12 centimeters, and 36 centimeters. A trapezoid with side lengths A, 4 centimeters, B.
Figures not drawn to scale.
Jordana’s Work
Scale factor
StartFraction 4 over 12 EndFraction = one-third
Side A
30 times one-third = 10
Side B
30 times one-third = 10
Perimeter
10 + 10 + 4 + 4 = 28
Where, if any, did Jordana first make a mistake in her work?
Jordana made a mistake when finding the scale factor.
Jordana made a mistake when she calculated the length of side A.
Jordana made a mistake when she calculated the length of side B.
Jordana did not make any mistakes in her work.
Answer:
C: Jordana made a mistake when she calculated the length of side B.
Step-by-step explanation:
Jordana made a mistake while calculating the length of side B.
What is a scale factor?A scale factor is a factor by which dimensions of an object are enlarged or diminished.
One parallel length i.e. side A of original isosceles trapezoid = 12cm
One parallel length i.e. side A of reduced isosceles trapezoid =4cm
So, scale factor = 4/12 =1/3
Other parallel length i.e. side B of original isosceles trapezoid =
So, the other parallel length i.e. side B of reduced isosceles trapezoid = 36*1/3 = 12cm
The side lengths of the reduced isosceles trapezoid = 30*1/3 = 10cm
So, the perimeter of the reduced isosceles trapezoid =4+12+10+10 =36cm
While Jordana calculated the length of side B as 4.
Thus, Jordana made a mistake while calculating the length of side B.
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What is the name of the figure?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid
Answer:
Triangular Prism.
The name of the figuare is triangular prism, the correct option is A.
What is the trianular prism?In geometry, a triangular prism is a type of prism with three sides and two bases.
The sides are of rectangle shape and bases are of triangle shape.
A triangular prism is a popular polyhedron. It is having two triangular bases and three rectangular sides.
According to the nature of prism, the two triangular bases are parallel and congruent to each other. It is a pentahedron with nine distinct nets.
The edges and vertices of the bases are connected with each other.
The rectangular sides of this prism are rectangular in shape and are joint with each other side by side.
All the cross-sections parallel to the base faces are triangle.
The given image has the shape of trigular prism.
Hence, the name of the figuare is triangular prism, the correct option is A.
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Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is
The tenth term for this sequence is
Select one
Answer:
The common difference of the sequence is -7
Step-by-step explanation:
Because each time the the numbers are going down by minus 7
The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 60, 53, 46, 39, 32, 25, ...
Now, The common difference of this sequence is,
⇒ 53 - 60
⇒ - 7
And, One formula for the sequence is,
⇒ a (n) = a + (n - 1) d
⇒ a (n) = 60 + (n - 1) (- 7)
⇒ a (n) = 60 - 7n + 7
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (n) = 67 - 7n
⇒ a (10) = 67 - 7 x 10
⇒ a (10) = 67 - 70
⇒ a (10) = - 3
Thus, The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
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The dot plot shows the number of hours students in the
band practiced their instruments.
Which describe the dot plot? Select all that apply.
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data shows symmetry.
The data is skewed left.
The data is skewed right.
Answer:
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data is skewed left.
Step-by-step explanation:
Edg
The correct statements are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.What is a scatter plot?Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.
The right statements for the dot plots are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.More about the scatter plot link is given below.
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The ratio of guppies to angelfish in a shop is 2 : 3. The number of angelfish was 23the number of goldfish. The shopkeeper decided to replace 14of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced. There were 30 more goldfish than angelfish in the end. How many guppies were in the shop in the beginning?
Answer:
The number of guppies were in the shop in the beginning = 60
Step-by-step explanation:
guppies ⇒ x , angelfish ⇒ y , goldfish ⇒ z
guppies to angelfish = 2 : 3 ⇒ x : y = 2 : 3 ⇒ x = 2/3 y
The number of angelfish was 2/3 the number of goldfish ⇒ y = 2/3 z
Or z = 3/2 y
The shopkeeper decided to replace 1/4 of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced
so, the number of guppies = 0.75x
and the number of angelfish = y + 0.25 x = y + 0.25 * 2/3 y
There were 30 more goldfish than angelfish in the end
z - (y + 0.25 * 2/3 y) = 30
so, 3/2 y - (y + 0.25 * 2/3 y) = 30
3/2 y - y - 1/6 y = 30
1/3 y = 30
y = 90
x = 2/3 y =2/3 * 90 = 60
z = 3/2 * 90 = 135
so, the number of guppies were in the shop in the beginning = 60
Final answer:
By setting up variables for the number of guppies (G) and angelfish (A) and establishing equations based on the given ratios, we can determine that the shop initially had 40 guppies.
Explanation:
To determine how many guppies were in the shop originally, let's set up variables for the number of guppies (G) and angelfish (A). According to the information provided, the ratio of guppies to angelfish is 2:3, which can be represented by the equation G/A = 2/3. The number of angelfish was also 2/3 the number of goldfish (F), meaning A = (2/3)F. When 1/4 of the guppies are replaced with angelfish, the number of guppies becomes 3/4G, and the number of angelfish becomes A + 1/4G. In the end, we are told there are 30 more goldfish than angelfish. Therefore, we have F = A + 30.
From A = (2/3)F and F = A + 30, we can substitute (2/3)F for A in the second equation, yielding F = (2/3)F + 30. Solving this equation for F gives us F = 90. Using the earlier equation A = (2/3)F, we find A = 60. Now, since A was 2/3 the number of goldfish originally, and using G/A = 2/3, we solve for G by setting up the equation G/60 = 2/3, leading to G = 40. Hence, there were 40 guppies in the shop initially.
there is $412 and 3 purses how much is in each purse????
Answer:
$412/3 purses = $137.33/purse
Which statements about the circle graph are correct? Check all that apply.
25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.
Answer: C and D
Step-by-step explanation:
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
Answer:
the answer my friend would likley be c and:D
Step-by-step explanation:
Hope this helps
A city has 4 new houses for every 9 old houses. If there are 20 new houses in the city, how many old houses are there?
A. 43
B. 49
C. 45
D. 47
Answer:
b
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
4 times 5 =20 and 9 times 5=45
Which expression is equivalent to 5(4f+3)-2f
Answer:
f = 5/6
Step-by-step explanation:
5(4f + 3) - 2f
= 20f + 15 - 2f
= 18f + 15
18f = 15
f = 15/18
f = 5/6
Find the area of a circle with a diameter of 16.
*First time asking a question. I would appreciate any help.*
Don collects trading cards. His favorites are baseball and football
cards. For every 8 baseball cards he owns, Don has 15 football cards.
What is the ratio of baseball cards to football cards in his collection?
1 of 5 QUESTIONS
8 and 15
8 to 15
15:8
SUBMIT
The ratio of baseball cards to football cards in Don's collection is 8 to 15.
Explanation:Given that for every 8 baseball cards, Don has 15 football cards, the ratio between baseball and football cards can be expressed as 8 to 15. This ratio signifies the comparative quantity of baseball cards to football cards in Don's collection.
Understanding ratios is essential to represent the relationship between different quantities or values. In this scenario, the ratio 8 to 15 indicates that for every 8 baseball cards, Don owns 15 football cards.
The ratio 8 to 15 is simplified, representing the proportional relationship between the number of baseball cards and football cards in a manner that showcases the relative quantity of each type of card Don possesses.
Ratios help in understanding and comparing quantities, providing a concise way to express relationships between different values or items, as demonstrated in the comparison between the number of baseball and football cards in Don's collection.
Write an expression, using an exponent, that is equivalent to 8 X 8 X 8 X 8.
Answer:
8 to the 4th power
Step-by-step explanation:
Answer:
8 to the 4th power (but with the 4 to the top right of the 8)
Step-by-step explanation:
each 8 is one power
8x8x8x8
1 2 3 4
Find f(2) it f(x)=(x+1)^2
Steps to solve:
f(x) = (x + 1)^2; x = 2
~Substitute
f(2) = (2 + 1)^2
~Add.
f(2) = (3)^2
~Multiply the exponent
f(2) = 9
Best of Luck!
If CDE ~ GDF, find ED
Answer:
10
Step-by-step explanation:
[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\
\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\
\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]
If triangle CDE ~ GDF , then length of ED is 10 unit.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion
In Triangles CDE and GDF, sides CD and DG , sides ED and DF are corresponding sides.
So, these corresponding sides will be in proportion.
[tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]
Since, side can not be negative. Therefore, x= 3
[tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]
Thus, length of ED is 10 unit.
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The first data set represents a linear function with ___ slope.
Answer:
the first Data set represent alinear function with linear slope
Answer:
a
Step-by-step explanation:
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answer:
1-Arc PQ is congruent to arc SR.
2-The measure of arc QR is 150°.
4-Arc PS measures about 13.1 cm.
5-Arc QS measures about 15.7 cm
Step-by-step explanation:
1,2,4,5
Answer:
A
B
D
E
Step-by-step explanation:
C is dum and wrong
The value of x is_degrees
Answer:
x=19
Step-by-step explanation:
The total angle in a straight line is 180 degrees.
To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.
1) Add 7 and 4 and -2.
[tex]7+4+(-2)=9[/tex]
2) Minus 9 from 180.
[tex]180-9=171[/tex]
3) Add 5x and x and 3x.
[tex]5x+x+3x=9x[/tex]
4) Divide 171 by 9.
[tex]171/9=19[/tex]
5) [tex]x=19[/tex]
The sum of all the angles is 180 degrees because this is a supplementary angle.
5x + 4 + x - 2 + 3x + 7 = 180
Now you can combine like terms:
(5x + x + 3x) + (4 - 2 + 7) = 180
9x + 9 = 180
Now you must isolate x:
9x + 9 - 9 = 180 - 9
9x + 0 = 171
9x = 171
9x/9 = 171/9
x = 19
Check:
5(19) + 4 + 19 - 2 + 3(19) + 7
95 + 4 + 19 - 2 + 57 + 7
180
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
Is one half percent equal to 50%?
Answer:
i know the answer
Step-by-step explanation:
Subtract.
4x^3−6x^2+8x−9 from 7x^3−16x+18
NEEDED ASAP (25pts)
An airplane flies from point A to point B. Point A is 40 kilometers from a ground signal at point C. Point
B is 56 kilometers from the same ground signal. If AB = 80 kilometers, find the measure of ACB to
the nearest degree.
Answer:
112°
Step-by-step explanation:
The law of cosines can be used to find angle C from the three side lengths. The usual formulation of that law is ...
c^2 = a^2 + b^2 -2ab·cos(C)
Then the angle C can be found to be ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
For the given side lengths,
C = arccos((40^2 +56^2 -80^2)/(2·40·56)) = arccos(-1664/4480)
C ≈ 112°
Find the distance between point E and point C.
A) 5
B) 9
C) 10
D) 11
What is the decimal multiplayer to increase by 4.1%
Answer:
1.041
Step-by-step explanation:
In order to increase by 4.1%, you must multiply whatever number you have by the decimal: 1.041.
Say the number we want to increase by 4.1% is x. Then:
x + (4.1%) * x = x(1 + 4.1%) = x(1 + 0.041) = 1.041x
So, you would multiply by 1.041.
Hope this helps!
Answer:
1.041
Step-by-step explanation:
Increase of 4.1% is basically
100 + 4.1 = 104.1% of the previous value
In decimals,
1.041
What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?
Answer:
220
Step-by-step explanation:
plug it into surface area formula for rectangular prisms
A=2(wl+hl+hw)
Can someone help me with this homework problem?
Answer:
I've already answered this question in another post:
full
[tex]\frac{\theta}{2\pi }[/tex]
[tex]A=\frac{\theta}{2}r^2[/tex]
Please please please please help!
Wait bro you already got it
A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?
Answer:
$800
Step-by-step explanation:
A = P [tex](0.5)^{t}[/tex]
Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.
17/3 = 5.666...
P is initial amount:
A = $41, 000 [tex](0.5)^{5.666...}[/tex]
A = 41, 000 (0.01968...)
A = 807.13692...
A ≈ $800
Rounded to the nearest hundred dollars.
Answer:$800
Step-by-step explanation: trust