Answer: The number of the adult tickets is 168
Step-by-step explanation:
The adults ticket costs $10.50
- The students ticket costs $3.75
- The total money of the opening night is $2071.50
- The equation of the total money earned in the opening night is:
10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket
and b is the number of the student ticket
- There were 82 students attended
* Lets solve the problem
∵ 10.50 a + 3.75 b = 2071.50
∵ The number of the students attended is 82
∵ b is the number of the students
∴ b = 82
- Substitute the value of b in the equation
∴ 10.50 a + 3.75(82) = 2071.50
∴ 10.50 a + 307.5 = 2071.50
- Subtract 307.5 from both sides
∴ 10.50 a = 1764
- Divide both sides by 10.50
∴ a = 168
∵ a is the number of the adult tickets
∴ The number of the adult tickets is 168
Answer:
168 Adult tickets were sold
Step-by-step explanation:
Vote me brainliest
show that (-2, 1), (2, -2) and (5,- 2) are the vertics of the right triangle
Step-by-step explanation:
A= (-2,1)
B= (2,-2)
C=(5,2)
slope = y1 - y2/ x1- x2
slope of
AB = -2-1/2-(-2)
= -3/4
BC= 2-(-2)/5-2
= 4/3
AC = -2-1/5-2
= -3/3
=-1
if ABC is a right triangle then AB should be perpendicular to BC
AB x BC = -1
LHS
=-3/4 x 4/3
=-1
= RHS
hence triangle ABC is a right triangle
Given the coordinates of point T at (-5,6) and point X at (3,2). What is the
coordinate for the midpoint of line segment TX?
Answer:
The midpoint is
( - 1 , 4 )Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
T( - 5 , 6) and X ( 3 , 2)
The midpoint is
[tex]M = ( \frac{ - 5 + 3}{2} \: , \: \frac{6 + 2}{2} ) \\ = ( - \frac{2}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
( - 1 , 4)Hope this helps you
Simplify the following. Answer should still have a radical.
the square root of 162
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{162} = \sqrt{81*2} = \sqrt{81} *\sqrt{2} = 9\sqrt{2}[/tex]
There are 8 more males in Sara's class than females. If 3/5 of the students are male, how many students are in Sara's class?
Answer:
40 students
Step-by-step explanation:
Let
Total students in Sara's class = x
Number of males = 3/5x
Number of females = Total students - male students
= x - 3/5x
= 5x-3x/5
= 2/5x
Number of females = 2/5x
There are 8 more males in Sara's class than females.
Therefore,
Males = 2/5x + 8
Total number of students = number of males + number of females
x = 2/5x + 8 + 2/5x
x = 2x+2x/5 + 8
x = 4/5x + 8
x - 4/5x = 8
5x-4x/5 = 8
1/5x = 8
Divide both sides by 1/5
x = 8 ÷ 1/5
= 8 × 5/1
x = 40
Therefore, there are 40 students in Sara's class
Check
Males = 3/5x
= 3/5×40
= 3×8
= 24
Females = 2/3x
= 2/5 × 40
= 2 × 8
= 16
Therefore, there are 8 more males than females
three times the absolute value of the sum of a number and 6
Answer:
[tex]3|x + 6|[/tex]
Step-by-step explanation:
Required
Get the equivalent of the given statement
Let the number be represented by x
So:
Sum of a number and 6 will be:
[tex]Sum =x + 6[/tex]
The absolute value will be:
[tex]Absolute = |x + 6|[/tex]
Three times this will be:
[tex]Product = 3 * |x + 6|[/tex]
This can be further represented as:
[tex]Product = 3 |x + 6|[/tex]
Hence, the equivalent of the given statement is [tex]3|x + 6|[/tex]
5. The number of solutions to |x - 8| + b = c depends on the relationship between b and c How do b and compare if there are two solutions? One solutionNo solution?
Answer:
X= -b+c+8
X= b-c+8
solutions
I am thinking of a number when you divided my number by 5 and add 10 you get 20
Answer:
the answer is 50.000000000000
Answer:
My number is 50.
Step-by-step explanation:
My number(50) will be divided by 5. It will give me 10. Then we take that 10 and add 10. It will give 20.50 divided by 5 = 1010 + 10 = 20what 43 x 680 x 43 + 4 help me plz
Answer:
I believe it is 1257324
Step-by-step explanation:
hope this helped someone :) (also feel free to correct me if Im wrong)
Answer:
1,257,324
Step-by-step explanation:
1. Multiply 43 by 680 to get 29,240 x 43 +4
2. Multiply 29,240 by 43 to get 1,257,320
3. Add 4 to 1,257,320 to get 1,257,324
Use Order of Operations to simplify the following: (5 + 22) x (35 -27) + 6²
Answer: 216 + 6^2 = 252
Step-by-step explanation:
Solve for d.
a - C= d - r
Answer:
a - C + r = d
Step-by-step explanation:
a - C = d - r
add r to both sides
a - C + r = d
a recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla how many needed for two batches use equivaelnt ratio
Answer:
5 : 2 10 : 4
Because If you take the original ratio (5:2) and multiply each number by 2 (For the 2 batches) you get 10 : 4.
Simplify the following equation and solve for m
2 (2m) + 4 (4m + 2) = 108
M=
The value of m from the equation 2 (2m) + 4 (4m + 2) = 108 is m = 5
The value of m = 5
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 ,
Let the equation be A = 2 (2m) + 4 (4m + 2) = 108
Now , on simplifying the equation , we get
2 (2m) + 4 (4m + 2) = 108
4m + 4 ( 4m ) + 4 ( 2 ) = 108
4m + 16m + 8 = 108
20m + 8 = 108
Subtracting 8 on both sides of the equation , we get
20m = 100
Divide by 20 on both sides of the equation , we get
m = 5
Therefore , the value of m is 5
Hence ,
The value of m from the equation 2 (2m) + 4 (4m + 2) = 108 is m = 5
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Use distributive property to simplify (m-5)4
Answer:
4m-20
Step-by-step explanation:
[tex](m - 5)4 \\ = m \times 4 + - 5 \times 4 \\ = 4m - 20[/tex]
The midpoint of AB is M(1, -3). If the coordinates of A are (-6, -7), what are
the coordinates of B?
Answer:
B(8, 1)Step-by-step explanation:
M is the midpoint of AB so:
[tex]x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-1=1-(-6)\qquad\quad\wedge\qquad\quad y_B-(-3)=-3-(-7)\\\\x_B=1+6+1\qquad\quad\ \wedge\qquad\quad y_B=-3+7-3\\\\x_B=8\qquad\qquad\ \wedge\qquad\qquad y_B=1[/tex]
18x2 - 54x – 20
Expand and simplify
Answer:
36x- 54x-20
-18x-20
-38
SOLVE FOR Y!
8x+2y= -10
Answer:
y =-5-4x
Step-by-step explanation:
What is the slope of the line?
Answer:
-2 is the slope of the line. (rise over run)
Subtract a ‘whole fraction’ from this improper fraction. Is the leftover fraction proper or improper?
9/4
Answer:
pliz u substrate first so that i can solve easily
Mike had 228 dollars to spend on 7 books. After
buying them he had 18 dollars. How much did each book cost ?
Answer:
$30
Step-by-step explanation:
We know that the cost of all of the books was 228 - 18 = 210 dollars because Mike had 18 dollars left over. Assuming that each book cost the same amount, we know that each book costs 210 / 7 = $30.
Answer:
$30
Step-by-step explanation:
Total amount Mike had = $228
Amount remaining = $ 18
Amount spent on books = 228 - 18 = $210
Cost of wach book = 210/7 = $30
Cost of each book is 30 dollars.
Write the numbers below in order of size, starting with the smallest.
2.6 2.06
2.26 2.62 2.062
Ivan read a total of 15 books over 5 months. After belonging to the book club for 8 months, how many books will Ivan have read in all? Solve using unit rates.
Answer:
24 books.
Step-by-step explanation:
Because 15 books divide 5 months would be 3 books so each month is 3 books so 3 books times 3 more months would be 9 books and then you add 15 to 9 and you get 24.
Question
C.
A student's pay of $22 an hour is $7 more than twice the amount the student earns
per hour at an internship. Enter and solve an equation to find the hourly pay of the
internship.
= 2x +
The internship pays $
an hour.
Answer:
The internship pays $7.5 an hour.
Step-by-step explanation:
From the information given, the equation would indicate that the amount the student earns per hour at the intership for two plus seven would be equal to 22:
2x+7=22
Now, you can solve for x:
2x=22-7
2x=15
x=15/2
x=7.5
According to this, the answer is that the internship pays $7.5 an hour.
Convert 25 centimeters to inches
Answer:
9.84252 inches the conversion of centimeters to inches is cm/2.54=in
Step-by-step explanation:
9.45in
If satisfied leave a review and feel free to give brainiest :D
Which travels faster: a car that travels miles in 10 minutes at a constant speed, or a
train that travels 6 miles in 8 minutes at a constant speed? Explain how you know.
Pls help solve this question... I will mark branliest for best answer...
Answer:
115 cm
Step-by-step explanation:
Total length of ribbon required to wrap a rectangular gift is given by -
Length of ribbon = 2l + 2b + 4t + extra
Length of ribbon = 2×30 + 2×20 + 4×2 + 15
Length of ribbon = 115 cm
What are the x-intercepts for
y=x2+6x?
Answer:
(0,0), (-6,6)
Step-by-step explanation:
Given: Point E is between points G and O, GE = 2x - 4, EO = 6x + 6, and GO = 66. Find the value of x.
Andrew used this table to describe several numbers. What error did he make? A.√36 should also be an integer. B. 0.345 should also be an integer. C. −√25 should also be a whole number. D. 0.345 should be a whole number.
Answer:
A rational number is an integer that either doesn't have a decimal or has a decimal that either repeats or terminates (ends). Basically, if these square roots come out to be an integer, they're rational.
The first one comes out to be 42.6028168083, so obviously not rational.
The second one comes out to be 55, so it is rational.
Consider the provided numbers.
√1,815 and √3,025
The value of √1,815 = 48.60281680.....
The value of √3,025 = 55
Now consider the definition of rational and irrational number.
Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.
Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.
The number √1,815 is an irrational number as the decimal expansion of numbers is neither terminate nor periodic.
The number √3,025 is a rational number as it is in the form of p/q.
Ming won 121 lollipops playing basketball at her school's game night. Later, she gave four each of her friends. She only has 9 remaining. How many friends does she have?
SO THIS MEANS MING HAS 28 FRIENDS
I NEED A Brainliest
Step-by-step explanation:
It is given that Ming had 121 lollipops, had remaining 9 :]➳ 121 - 9
➳ 112
It is also given in question that Ming gave each friend 4 lollipops :]➳ 112/4
➳ 28
[tex] \huge\tt Verification : \\ [/tex]
➴ 28 × 4 = 112
➴ 112 + 9 = 121
[tex]\red{\underline{ \sf Hence, Verified}.}[/tex]
If 5x = b and b = -45, what is x? *
