Answer:
49 adults; 2*49 = 98 children and (207-3*49) = 60 students.
Step-by-step explanation:
hope this helps!! :))
122 children, 50 students, and 122 adults attended the movie theatre.
What is an equation?A mathematical expression with an equality sign between two mathematical expressions is an equation.
How to solve it?Let the number of students in the theater = x and the number of children in the theater = 2y
Since the number of adults in theater = Half of the number of children = 2y/2 = y
Given that the total seating capacity in the theater = 233
So, we can write
x + 2y + y = 233
i.e. x + 3y = 233 ...(1)
Given that the cost of 1 children's ticket = $5
i.e. the cost of 2y children tickets = 5 x (2y) = $10y
The cost of 1 student ticket = $7
i.e. the cost of x student ticket = $7x
The cost of 1 adult ticket = $12
i.e. the cost of y adult tickets = $12y
Since the total ticket sales was $1692,
So, we can write
10y + 7x + 12y = 1692
i.e. 7x + 22y = 1692 ...(2)
Now we have to solve the two equations (1) and (2).
multiplying (1) by 7,
7x + 21y = 1631 ...(3)
Subtracting (3) from (2),
7x + 22y - 7x - 21y = 1692 - 1631
i.e. y = 61
then 2y = 122
and x = 233 - (3 x 61) = 233 - 183 = 50
Therefore 122 children, 50 students, and 122 adults attended the movie theatre.
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what is 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
hope this helped ^^
-2(n - 12) + 1 = -2n + 25 how many solutions can be found
Answer: One
Step-by-step explanation:
1/10 + 6 2/5 + 5 3/4 This is A Math Problem.
Answer: 12 1/4 or 49/4
Step-by-step explanation:
Angela uses a scanner to make a reduced-size copy of a rectangular
photo that is 6 inches long and 4 inches wide. The length of the
reduced photo is 4 inches. What is its width?
Answer:
[tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex]
Step-by-step explanation:
The photo has length 6 inches and width 4 inches.
The ratio of length to breadth is
[tex]\dfrac{l}{w}=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
Now the reduced length of the photo is 4 inches.
Let [tex]x[/tex] be the reduced width of the photo
[tex]\dfrac{3}{2}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{3}\times2\\\Rightarrow x=\dfrac{8}{3}\ \text{inches}=2.67\ \text{inches}[/tex]
The width of the reduced photo is [tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex].
What are the forces called when two or more forces act on an object but the object does NOT move ? plz help need this asap
Answer:
Balanced Force
Step-by-step explanation:
When 2 objects pushing against each other have the same force, their forces are cancelled out, giving them balanced force
PLEASE HELP!!!!!!!
A sidewalk sale is going on in the local town. The sale consists of leggings for $12 and t-shirts for $10. Becky is hoping to purchase two pairs of leggings and some t-shirts. If she has no more than $36 to spend, how many t-shirts can she buy if she also buys two pairs of leggings? Set up and graph the inequality. Use the graph to answer the question. Show all work and explain how the graph illustrates the answer.
Answer: 2 pair of leggings is $24 she has $36 so she can buy 1 shirt
Answer this please I’m really struggling
Answer: x=10, y=7.5
Step-by-step explanation:
For this problem, we are given that BD bisects ABC. That means ABD and DBC are equal to each other. We are also given that ABC is 25. With the given information, we can create two equations.
Equation 1: 2x-y=3y-x
Equation 2: 2x-y+3y-x=25
Now, we can solve for x and y.
2x-y+3y-x=25 [combine like terms]
x+2y=25
Let's simplify Equation 1 by solving for a variable.
2x-y=3y-x [add both sides by x]
3x-y=3y [add both sides by y]
3x=4y [divide both sides by 3]
x=4/3y
Now that we have x, we can plug it into any equation to solve for y.
x+2y=25 [plug in x=4/3y]
(4/3y)+2y=25 [combine like terms]
10/3y=25 [multiply both sides by 3/10]
y=15/2
Now we can plug in y=15/2 to solve for x.
x=4/3y [plug in y=15/2]
x=4/3(15/2) [multiply]
x=10
Now, we know that x=10 and y=7.5.
Restaurant etiquette dictates that you should leave a 15% tip for the server if the service is acceptable. If that is the case, how much should you tip if your total is $32.00?
Mean Versus Median
1) Sarah and Andrew were comparing prices of their favorite energy bar. Eight grocery stores
sell the PR energy bar for the following prices:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Sarah claims the average price of the candy bar is $1 37 but Andrew disagreed and said the
average price of the energy bar is actually $1.41. How did Sarah and Andrew come up with these
prices? Based on their calculations, who do you think is correct and why?
My
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Average value :
Sarah = $1.37
Andrew = $1.41
Obtaining the median:
(n + 1) / 2
n = number of observations = 8
(8 + 1) / 2 = 9 /2 = 4.5th observation
(4th +. 5th observations) / 2
(1.35 + 1.39) / 2 = $1.37
Finding the mean:
($1.09 + $1.29 + $1.29 + $1.35 + $1.39 + $1.49 + $1.59 + $1.79) /8
$11.28 / 8
= $1.41
Hence, the actual. Average value is the mean value of the data.
The median only gives the value at the middle of the distribution and not the average.
identify the x-intercept of −5x+y=−10
Answer:
(2,0)
Step-by-step explanation:
You know that y for your x-intercept has to be 0 so just plug in 0 for y and solve from there
What’s the constant rate of change
Answer:
1:5
Step-by-step explanation:
So you can look at the first point and see its 5,25 so to find the rate of change you turn the 5 into a 1 by dividing 5/5 which would be 1 but you need to do the same to both sides so you divide 25 by 5 and get 5 so you have the 1 and 5 and you can turn it back to a ratio by putting : instead of the and so it would be 1:5!
write any 5 safety measures that should be followed while working at industry .
Calcula y:
14x - 5y = 60
8x - 2y = 36
Seleccione una:
A. 2
B. 6
C. 10
D. 5
E. 8
Answer:
Step-by-step explanation:
-28x + 10y = -120
40x + 10y = 180
12x = 60
x = 5: D is the answer
8(5) - 2y = 36
40 - 2y = 36
-2y = -4
y = 2: A is the other answer
Pleaseee help
Paula and Sam were working on a project for their math class. They were studying
scientific notation and decided to research texting in the United States for their
presentation. One statistic they found was that there are an average of 13.9
million texts sent each hour. Paula suggested that they use that information
to determine the average number of texts sent per day. What is the average
number of texts sent in the United States per day?
Answer:
333,600,000 ( This could also be written as 333.6 million).
Step-by-step explanation:
Every hour, there are 13.9 million texts. As there are 24 hours in a day, you must do the equation 13,900,000x24. This is 333,600,000, which is your answer. I hope this helps
The points given in the table lie on a line. Find the slope of the line.
х
-2
3
8
13
y
1
4
7
10
We must use the given numbers from the table to graph the line.
According to this graph, the slope of the line is [tex]\frac{3}{5}[/tex].
According to this graph, the slope of the line will be; 3/5.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines is the same. Slopes of perpendicular lines are negatively reciprocals of each other.
Using any two pairs from the table of values given, (-2, 1) and (3, 4):
Where, y = 4, q = 1
x = 3, p = -2
Plug in the value into the slope formula;
[tex]m = \dfrac{y-q}{x-p}\\ m = \dfrac{4-1}{3 + 2}[/tex]
m = 3/5
According to this graph, the slope of the line will be; 3/5.
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i was doing fine until i came to this question please help
i dont know what its asking
Solve the following inequality using the algebraic approach:
5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4
Answer:
b. x less-than StartFraction 10 Over 3 End fraction
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
Given that, 5x-1<2x+11.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here, inequality 5x-1<2x+11 can be solved as follows
Add 1 on both the sides of inequality, we get
5x<2x+12
Subtract 2x on both the sides of inequality, we get
3x<12
Divide 3 on both the sides of inequality, we get
x<4
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
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!help ASAP ( FREE BRAINLIST:)
Answer: (1,500 = 30) (90 = 1.80)
Step-by-step explanation:
(1,500 = 30) (90 = 1.80) - This I'm pretty sure is the answer.
How far is 75% of 2000 km trip
Answer:
1, 500km
Step-by-step explanation:
[tex] \frac{75}{100} \times 2000 \\ \\ = 1500[/tex]
Answer: 1,500km
Step-by-step explanation:
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes △STU ~ △SVW?
A. (0,20)
B. (0,24)
C. (20.0)
D.(24,0)
Answer:
The coordinates of the point W is ((5/9)·√65, -20/9)
Step-by-step explanation:
The given parameters are;
The location of point S = (0, 0)
The location of point T = (0, 6)
The location of point U = (12, 0)
The location of point V = (0, 10)
We have;
The length of segment ST = √((6 - 0)² + (0 - 0)²) = 6
The length of segment SU = √((12 - 0)² + (0 - 0)²) = 12
The length of segment TU = √((12 - 0)² + (10 - 0)²) = √(144 + 100) = 2·√(61)
The length of segment TU = 2·√(61)
The length of segment SV = √((10 - 0)² + (0 - 0)²) = 10
Therefore, we have for similar triangles;
SV/SU = SW/ST = UW/TU
Therefore;
SW = ST × SV/SU = 6 × 10/12 = 5
VW = TU × SV/SU = 2·√(61) × 10/12 = (5/3)·√(61)
Where the coordinates of the point W = (a, b), we have;
Length of VW = √((10 - b)² + (0 - a)²) = (5/3)·√(61)
(25/9)·(61) = (10 - b)² + a²
Length of SW = √((0 - b)² + (0 - a)²) = 5
25 = b² + a²
∴ a² = 25 - b²
Substituting the value of a² into the length of segment LW equation, gives;
(25/9)·(61) = (10 - b)² + a² = (10 - b)² + 25 - b²
(25/9)·(61) = (10 - b)² + 25 - b² = 100 - 20·b + b² + 25 - b²
(25/9)·(61) = 125 - 20·b
20·b = 125 - (25/9)·(61)
b = -20/9
a² = 25 - b² = 25 - (-20/9)² = 1625/81
a = √(1625/81) = (5/9)·√65
The coordinates of the point W = ((5/9)·√65, -20/9).
Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.
Answer:
The equation of the line in the slope-point form is y - 7 = 10(x + 6)
The equation of the line in the slope-intercept form is y = 10x + 67
Step-by-step explanation:
The slope-point form of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the point lies on the lineThe slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-intercept∵ The slope of the line is 10
∴ m = 10
∵ The line passes through the point (-6, 7)
∴ x1 = -6 and y = 7
→ Substitute them in the slope-point form above
∵ y - 7 = 10(x - -6)
∵ (-)(-) = (+)
∴ y - 7 = 10(x + 6)
∴ The equation of the line in the slope-point form is y - 7 = 10(x + 6)
→ Substitute m in the slope-intercept form
∵ y = 10x + b
→ To find b substitute x by -6 and y by 7 in the equation
∵ 7 = 10(-6) + b
∴ 7 = -60 + b
→ Add 60 to both sides to find b
∴ 67 = b
→ Substitute the value of b in the equation
∴ y = 10x + 67
∴ The equation of the line in the slope-intercept form is y = 10x + 67
HELP ASAP!! What is the measure of the radius of OM?
Answer:
10.5, i just looked it up so pardon if its wrong.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Just took the test
Helppppppppppp plssssss
Answer:
Step-by-step explanation:
I'd be glad to try and help. What's the question?
Answer:
Step-by-step explanation:
what is your question?
1 point
A cable company charges $70 per month for cable service for existing
customers. For new customers, there is an additional one-time $100
service fee. What is a linear equation for this situation? *
y = 70%
y = 70x + 100
y = 100x
y = 100x + 70
Also, what is the y-intercept? *
Answer:
70x + 100
Step-by-step explanation:
Trust me on this one
Which number is the greatest?
Select one:
103
72
94
178
1. Tell whether each function is linear or not.
A.6x2 = 12. Yes/no
B.3xy=27 Yes/no
C.-2(x+y)+9=1. Yes/no
D.4-3y = 2x +9. Yes/no
can anybody help with this? pretty important
Answer:
I'm pretty sure it's b or c but I think c
What fraction goes in the box to make it correct?4×□=1
Answer:
1/4
4 × .25 = 1
Tony makes a phone call at a pay phone. The charge is 25 cents for the first four minutes,
and 10 cents for each additional minute. Tony has $2.10 in change in his pocket. Write an
inequality that can be used to find m, the maximum number of minutes that Tony can talk
on the phone. Solve this inequality algebraically to find the maximum number of whole
minutes he can talk on the phone.
Answer:
it would be a max of 22 mins
Step-by-step explanation:
25C=4 mins
10C*10 mins =1$
$1.25
2.10-1.25=.85
10C*8=80C
so
4+10+8=22
Tony can talk for a maximum of 22 minutes on the phone which is determined by the inequality 0.25 + 0.10 (x-4) ≤ 2.10.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
According to the given question, we can write the inequality would be as:
⇒ 0.25 + 0.10 (x-4) ≤ 2.10
x = an integer number of minutes.
Subtraction is required since the first four are covered by the 0.25 price. Because fractional minutes count as a full minute, an integer is required.
⇒ 0.25 + 0.10x -0.40 ≤ 2.10
⇒ -0.15 +0.10 x ≤ 2.10
⇒ 0.10x ≤ 2.25
⇒ x ≤ 2.25 /0.10
⇒ x ≤ 22.5 ≈ 22
Therefore, the maximum number of whole minutes will be 22 minutes.
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you have 576 grams of radioactive kind of mercury. if its half-life is 64 hours,how much will be left after 256 hours?
Answer:
36 gramsStep-by-step explanation:
Amount of radioactive material = 576 gramsHalf-life = 64 hoursTime = 256 hoursCycles of reduction:
256/64 = 4Material will be left:
576*(1/2)^4 = 576*1/16 = 36 gramsAnswer:
36 grams
Step-by-step explanation:
We have 576 grams of the mercury like substance.
Half of it's lifespan is 64 hours.
The time is 256 hours.
256 ÷ 64 = 4
Material will be left:
576 x [tex](1/2^{4} )[/tex]
576 x 1/16 = 36 grams