Answer:
s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
Step-by-step explanation:
Someone please help me out!
Answer:
It is 3
Step-by-step explanation:
Max = how high it will go at most
Min. = how low it will go at most
Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!
Answer:
HCFD
Step-by-step explanation:
a² + b² = c² => a² = c² - b² => a = √(c² - b²)
=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]
A) √(5.5² - 3.5²) ≈ 4.24 => H
B) √(8.8² - 3.5²) ≈ 8.07 => C
C) √(9.3² - 3.5²) ≈ 8.62 => F
D) √(7.9² - 3.5²) ≈ 7.08 => D
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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What is the equation of the line that passes through the point (−7,4) and has a slope of 0?
Answer:
Step-by-step explanation:
equation of a line
y=mx+b
y=0*x+b
y=0+b
y-0=b
since the line passes through the point (-7,4) it satisfies the equation
4-0=b
4=b
substituting the value of b in
y-0=b
y-0=4 is the required equation.
25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?
Answer:
so here 25%=5
25×2=50, 5×2=10
50%=10
50%+50%=10+10
100%=20
baker makes total 20 cakes
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
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Answer:
It would be a simple sentence, since it is a single clause by itself.
Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.
Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)
I think the first one is independent but I’m not sure on the second.
Answer:
The two times Tyler selects a shirt from the suitcase are independent events
The probability that he selects a short-sleeved shirt both times is 9/16.
Step-by-step explanation:
We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.
To find the probability, we use the multiplication rule:
[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has
[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]
- 2022 Edmentum
The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of short sleeved shirts are 6
Total number of shirts is 8
The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.
The probability that he picks a short sleeved shirt is (6/8)
The probability that he picks a short sleeved shirt both times is
= (6/8) *(6/8)
= (9 /16)
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Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas
Answer:
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
Step-by-step explanation:
Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:
[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]
Para sumar fracciones mixtas, en primer lugar sumas la parte entera:
2+1= 3
Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.
Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:
[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]
Entonces el resultado de la suma es:
[tex]3\frac{23}{20}[/tex]
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
How many sides does a regular polygon have if each of its interior angles is 165 degree.
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
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7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
Find the surface area of the rectangular prism
2km
4km
6km
Answer:
88km is your answer
Step-by-step explanation:
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What is -25 1/4 - 19.1 in decimal form? You must show the steps for converting the fraction to a decimal. then show your steps in subtracing
Answer:
-44.35
Step-by-step explanation:
1/4 = 0.25 (as 0.25 * 4 = 1)
-25 1/4 = -25.25
-25.25 - 19.1 = -44.35
The value is -44.35.
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying fractions by using conjunction elimination in logic inference to produce a formula that is simpler but typically not equivalent to the original.
Given [tex]-25\frac{1}{4}[/tex] - 19.1
[tex]-25\frac{1}{4}[/tex] can be written as -(25 + 1/4)
1/4 multiply and divide by 25
we get 25/100
to convert fraction into decimal make the base multiple of 10 and put decimal ahead the no. of digits
20/100 = 0.25
equation is -25.25 - 19.1 = -44.35
Hence the value is -44.35.
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the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?
Answer:
40
Step-by-step explanation:
160-40=80/2=40
Answer:
$12/ hour
Step-by-step explanation:
revenue: 160
profit: 160 - 40 = 120
Brian's profit: 120/2 = 60
Hourly profit: 60/5 = 12
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if f(x)=3x+5 and g(x)=x^2+1, what is the value of (g o f)(x)?
Answer:
9x²+30x+26
Step-by-step explanation:
f(x) =3x+5
g(x) =x²+1
(gof)(x) = g(f(x)) = g( 3x+5) = (3x+5)² +1 = 9x²+30x+25+1 = 9x²+30x+26
The planet Neptune orbits the Sun. Its orbital radius is 30.1 30.130, point, 1 astronomical units ( AU ) (AU)left parenthesis, start text, A, U, end text, right parenthesis. Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of π
adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.
Answer:
60.20 pi
Step-by-step explanation:
to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance
30.1*2 = 60.20
then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi
so the answer is 60.20 pi
-Hope this helps
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Find the line of inclination of the line if its slope is -√3
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
can someone help me solve this question? asap
Answer:
i.x=1 (x,y)=(1,3)
y=3
ii.x=2 (x,y)=(2,4)
y=4
iii.x=3 (x,y)=(3,5)
y=5
iv.x=4 (x,y)=(4,6)
y=6
v.x=5 (x,y)=(5,7)
y=7
Step-by-step explanation:
Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides
Explanation:
Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.
Side note: any rectangle is a parallelogram, but not the other way around.
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PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
The graph on the right. y= 5, 6, 7, 8
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Answer:
third option mechanical weathering
Step-by-step explanation:
in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .
list power power set of a:{1,2}
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!
Step-by-step explanation:
The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.
Which number best describes the range of the data in the box-and-whisker plot?
A. 25
B. 15
C. 10
The number that best describes the range of the data in the box-and-whisker plot is 15.
What is the range?A box plot is used to study the distribution and level of a set of scores the scores are distributed into 4 groups. Each group has a value of 25%. The box plot consists of two lines and a box. the two lines are known as whiskers. the whiskers represents the minimum and maximum values.
Range = maximum value - maximum value
20 - 5 = 15
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An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas
Answer: 42
Step-by-step explanation:
Given
An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]
One case will hold [tex]38[/tex] Umbrellas
Number of cases required to hold all the Umbrellas are
[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]
Thus, 42 packs are required to hold all the Umbrellas
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
2−|x|=8
|8−x|=2
|2−x|=8
8−|x|=2
Answer:
|8−x|=2
Step-by-step explanation:
because you have to subtract them together to see how far apart they are
what is the value of x,if x=3²
Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
Find two numbers that multiply to be -18 and add up to be -7