9514 1404 393
Answer:
160 adults40 kidsStep-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold. The total revenue is ...
8.50a +3.50(200 -a) = 1500
5a = 800 . . . . . . . . . . . . . . . . . . . subtract 700 and collect terms
a = 160
(200-a) = 40
160 adults and 40 children paid to see the movie.
Answer:
160 adults and 40 children saw the movie on the first night.
Step-by-step explanation:
Total number of tickets sold = 200
Let the total number of adults be 'x'
So, Total number of children = 200 - x
Cost of adult tickets = $8.50
Cost of child tickets = $3.50
Total sum made on first night = $1,500
Total sum made on first night is equal to total cost of adult tickets + total cost of child tickets
[tex] \longrightarrow [/tex] 8.50x + 3.50(200 - x) = 1500
[tex] \longrightarrow [/tex] 8.5x + 700 - 3.5x = 1500
[tex] \longrightarrow [/tex] 8.5x - 3.5x = 1500 - 700
[tex] \longrightarrow [/tex] 5x = 800
[tex] \longrightarrow [/tex] x = [tex] \sf \dfrac{800}{5} [/tex]
[tex] \longrightarrow [/tex] x = 160
[tex] \therefore [/tex] Total number of adults = 160
Total number of children = 200 - 160 = 40
Which of the following cannot be simplified?
Answer:
C
Step-by-step explanation:
Answer:
c. 8x-1
Step-by-step explanation:
all of the other ones can be simplified in some way
Marcel reads 20 pages every other day Xion reads 8 pages every day Amber reads 56 pages every 7 days Francessca reads 55 pages every 5 days Which one of these will get to 350 pages first? State the number of days they will take to complete it.
Answer:
Marcel reads 20 pages every 2 days.
Then, in one day, she reads:
20/2 = 10 pages per day.
Now, we know that in one day she reads 10 pages, then we can subdivide the number 350 in N groups of 10 pages, each one of these N groups needs one day to be read, then 350 pages will be read in N days:
N = 350/10 = 35 days.
Xion reads 8 pages per day.
Then to read 350 pages, he neds:
N = 350/8 = 43.75 days
Amber reads 56 pages in 7 days.
Then she reads 56/7 = 8 pages per day (Same as Xion)
Then she also needs 43.75 days to read 350 pages.
Francessca reads 55 pages in 5 days.
Then she reads 55/5 = 11 pages per day.
To read 350 pages, she needs:
350/11 = 31.82 days
Then the one that needs less days to read 350 pages is Francessca.
51:03
Review the four points shown on the polar coordinate
system.
Which point represents (3, - )?
2/2
2003
03
O point A
O point B
O point
O point D
56
B
2/6
A
0
2 4 6
co
D
THB
11:06
413
5/3
302
Mark this and return
Save and Exit
Next
Submit
Answer:
Point A
Step-by-step explanation
Got it correct on edge test
Point A represents (3, - ). Therefore, the correct option is option A among all the given options.
What is coordinate?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. It matters how the coordinates are arranged.
Sometimes they are recognised by their place in an ordered tuple, and other times they are recognised by a letter, such as "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers. Point A t represents (3, - ).
Therefore, the correct option is option A.
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Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
79°
Step-by-step explanation:
A straight line is 180°.
180°-101°=79°
Select all ratios equivalent to 7:2 ?
Answer: 14:4 , 21:6 , 28:8 , 35:10
Step-by-step explanation:
Santiago is looking over his credit card statements from the past couple of months. The
balance was $95 last month, and 40% more this month. What is the balance on the card this
month?
Answer:
133
Step-by-step explanation:
40 percent more than is 133
Which equation can be used to prove 1 + tan?(x) = sec2(x)?
cos?(x), sin?(x) =_1
sec?(x) sec (x) sec?(x)
cos?(x), sin?(x) 1
sin?(x) sin?(x) sin?(x)
cos?(x), sin?(x) =_1
tan?(x) tan(x) tan2(x)
O
cos?(X) + sin?(X) - 1
cos(x) cos(x) cos(x)
Answer: D
Step-by-step explanation:
Combine like terms: 3x + 2x + 3y - 7y
Answer:
5x-4y
Step-by-step explanation:
1, Look for your like terms (x,y)
2.Do 2X+5X
3. 3y-7y
4. 5x-4y
Answer:
5x - 4y
Step-by-step explanation:
3x + 2x = 5x
3y- 7y = -4y
f(x+h) = (x+h)² + 3(x+h)^3
How would I distribute this?
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
Order of Operations: BPEMDASDistributive PropertyExpand by FOIL (First Outside Inside Last)Combining like termsStep-by-step explanation:
Step 1: Define function
f(x) = x² + 3x³
f(x + h) is x = x + h
Step 2: Simplify
Substitute: f(x + h) = (x + h)² + 3(x + h)³Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hxFind the surface area of this cuboid.
3 cm
5 cm
2 cm
Answer:
62 cm^2
Step-by-step explanation:
the sides are 3*5, 3*2, and 2*5, and there are two of each. 3*5 is 15, 3*2 is 6, and 2*5 is 10.
we need to find 15*2, which is 30, 6*2, which is 12, and 10*2 which is 20. then we need to add all of these together, which is 62
Graham drove 42 1/3 miles in 1 1/3 hours
How many hours did he take to drive one mile?
Answer: 1.89 minutes
Step-by-step explanation: If we take 1 and 1/3 hours and turn that into minutes we get 80 minutes we then divide it by the number of miles 42 1/3. We would get about 1.89, so it took about 1.89 minutes
is 1/5 a integer rational irrational or real. (there can be more than one answer)
Answer:
rational
Step-by-step explanation:
A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!
Suppose a stage for the Lunar New Year festival has a length of 24 feet and a width of 4x + 4 feet. If the area of the stage is 384 square feet, what is the value of x?
Answer:
The value of x is 3
Step-by-step explanation:
The stage is rectangular in shape.
The formula for area of a rectangle is:
Length × Width
Length = 24 feet
Width = 4x + 4 feet
Hence:
384 = (4x + 4) × (24)
384 = 96x + 96
Collect like terms
384 - 96 = 96x
288 = 96x
x = 288/96
x = 3
The value of x is 3
PLEASE HELP QUICKLY
What is the value of y
Answer:
y= 8
Step-by-step explanation:
In a Triangle we know,
W+Y+X=180 degree
then,
(180-52)+(4y-4)+3y=180
or, 128+4y-4+3y= 180
or, 7y= 180- 124
or, y= 56/7
or, y= 8
hope you got it.
so 900x900= answer: 810000
Answer:
That is correct
Answer:
yes its correct
Step-by-step explanation:
Find the value of x.
(5x + 5)
5( x + 1)
I hope this helps:)
for each graph below, state wether it represents a function.
Answers:
Row 1: No, No, No
Row 2: Yes, Yes, Yes
===============================
Explanation:
Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.
So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.
Fill in the missing numbers in these equation
(-2) . (-4.5)= ?
?=
Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.
B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.
C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.
D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________
Answer:
The first option
Step-by-step explanation:
Finished assignment
Answer:
the first option
Step-by-step explanation:
A laundry mat can clean five shirts in 20 minutes. What is the rate of shirts per hour?
Answer:
15 shirts in one hour
Step-by-step explanation:
there are 60 minutes in an hour, 20 times 3 is 60, 5 times 3 is 15
quadratic equations
9 + 2x2 + 2 =0
Answer:i kinda don't understand but i guess you mean sqrt11/2?
Step-by-step explanation:2x^2+11=0 easy move
The floor of the room where the documents will be displayed is rectangular
in shape. The length of the floor is four times the width. The floor area is
144 square feet. Write and solve a quadratic equation to find the length
of the display floor. Show the steps you used to solve the problem and
write your answer in a complete sentence.
Answer:
576
Step-by-step explanation:
solve each proportion .
120/160=15/y
(fractions)
please help me :(
Answer:
Y = 20
Step-by-step explanation:
120/ 160 = 15 / y
120/15=8
that means there is a 8 to 1 ratio between them. So now do 160/8 = y
y = 20.
prove it by dividing both fractions to create decimal form. They match, so y = 20.
What is 3/4 x 2/3?
Pls help!!!!!!
Answer:
1/2
Step-by-step explanation:
3/4 × 2/3
3 × 2/4 × 3
6/12 = 1/2
Thus, 3/4 × 2/3 = 1/2
-TheUnknownScientist
Answer:
The answer would be 1/2 or 0.5.
Step-by-step explanation:
1.) Multiply the numerators
3x2=6
2.) Multiply the denominators.
4x3=12
3.)Simplify the fraction.
6/12=1/2 or 0.5
PLEASE HELP ME 18 POINTS PLEASE HELP
Answer:
the y-intercept it at 3
Answer:
(3,0) !
Step-by-step explanation:
The y intercept is where the given line touches the y axis (the vertical line of a coordinate plane)
I hope this helps!
(9+7i)+(-5-31) =
add complex numbers
Answer:
4 + 4i
Step-by-step explanation:
Add the real part and add the imaginary part.
9 + 7i + (-5 - 3i) = 9 + 7i - 5 - 3i
= 9 - 5 + 7i - 3i
= 4 + 4i
Answer:
44
Step-by-step explanation:
Okay so we are given (9 + 71) + (-5 - 31).
We need to figure out the value of this expression.
First, let's solve the expression (9 + 71).
1. (9 + 71) = 80.
Now we have 80 + (-5 - 31).
Next, let's solve the expression (-5 - 31).
2. (-5 - 31) = -36.
We're left with 80 + (-36).
Finally, let's add the two numbers together.
80 + (-36) = 44
So (9 + 71) + (-5 - 31) = 44
Feel free to give brainliest.
Have an excellent day!
Please help
Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.
7
5.4
10.8
4.5
Answer:
5.4
Step-by-step explanation:
since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4
If g(x) = 8-2 (3x-4) what is the value of g(-5)
Answer: 46
Step-by-step explanation: g(-5)= 8-2 (3(-5)-4), equals 46! Hope this helps :)
A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide.
_______________________________________________________
Which inequality can be used to determine the squirrel’s speed?
_____
What is the solution to the inequality? Round to the nearest tenth, if necessary.
_____
How can you interpret the solution?
_____
_______________________________________________________
A) 3r > 34,
3r 34
r/3 11.3
r 10.2
C) the squirrel ran at least 11.3 feet per second
the squirrel ran faster than 11.3 feet per second
the squirrel ran no faster than 102 feet per second
the squirrel ran slower than 102 feet per second
_______________________________________________________
Answer:
✔ 3r > 34
✔ r > 11.3
✔ The squirrel ran faster than 11.3 feet per second.
Step-by-step explanation:
1. The Squirrel's speed is 3r > 34
2. The solution of the inequality is r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A squirrel runs across a road in 3 seconds.
The road was more than 34 feet wide.
1. The Squirrel's speed is
3r > 34
2. The solution of the inequality is
r > 34/3
r > 11.3
3. The interpretation is: The squirrel ran faster than 11.3 feet per second.
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Jack takes out a student loan for $6,000 at a simple interest rate of 11.3% per year. How much total
interest will Jack owe at the end of 6 years? Assume he does not make any payments during that time?
Answer:
$10,068
Step-by-step explanation:
Step-by-step explanation:
6000
100+11.3÷100=1.113
6000x1.113(^6)
=
11405.71
or 11405.70