Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
Match the Exponential functions to the Y intercept.
Answer:
f(x)= -10^x-1-10= (0,-101/100)
f(x)= -3^x-2-1= (0,-10/9)
f(x)= -3^x+5-9= (-252)
f(x)= -17^x-1+2 = (0,33/17)
-5(x-1) = 40
whats the answer
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
Divide each side by -5
-5(x-1)/-5 = 40/-5
x-1 = -8
Add 1 to each side
x-1+1 = -8+1
x = -7
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
-5x + 5 = 40
5x - 5 = - 40
5x = 5 - 40
5x = - 35
x = -35/5
x = -7
Brainliest ? For which inequality is (0,0) a solution?
Answer:
C. y-5>3x-7
Step-by-step explanation:
If you multiply y and x to 0 you get -5 > -7
Answer:
C. y-5>3x-7
Step-by-step explanation:
The point (0, 0) would be a solution because the inequality is greater than or equal to. Since the 2 sides become equal, the inequality is true which means (0, 0) is a solution.
please mark me brainliest :)
Which expressions are equivalent to select three option. HURRY PLZ
Answer:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
Step-by-step Explanation:
To find the expressions that are equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
let's simplify each of the options given to know if we would arrive at
[tex] \sqrt{1,120y^{3} } [/tex]
Option 1:
[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]
[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]
[tex] \sqrt{8*10*7*y^{2} } [/tex]
[tex] \sqrt{560y^{2} } [/tex]
Not equivalent to the given expression.
Option 2:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]
[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]
[tex] 8*5*7*y*y [/tex]
[tex] 280y^{2} [/tex]
Not equivalent to the given expression.
Option 3:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]
[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]
[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent.
Option 4:
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent to the given expression.
Option 5:
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} * 70 * y} [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
Equivalent!
Options 3, 4 and 5 are the 3 expressions equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
Answer:C D E
Step-by-step explanation:
Just did the test
Identify the terms and like terms in the expression.
z + 8 - 4z
Answer:
z and -4z are like terms
Terms: z,8,-4z
like terms: z,-4z
what is the exact solution for 75(1/5)^(x/5)=3
Answer:
[tex]\large \boxed{x = 10}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]
[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]
When a number is tripled, it gives the same result as when 32 is added to it.
What is the number?
Answer:
The number is 16.
Step-by-step explanation:
3x=32+x
2x=32
x=16
A number that when tripled, gives the same result as when 32 is added to it is 16.
Let the unknown number be x.In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.
Translating the word problem into an algebraic expression, we have;
Tripling the number, we have:
[tex]3x[/tex] ....equation 1
Adding 32 to the number, we have:
[tex]32 + x[/tex] ....equation 2
Equating the two equations, we have:
[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]
x = 16
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Are these functions??!!
I need this for today if you do all of it i’ll fr cashapp you money for it wassupp?
Answer:
Going from left to right:
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
Step-by-step explanation:
Functions cannot have any repeating x-coordinates.
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
If you expand and simplify. -(y+2)(y-8)
Answer:
[tex]-y^2+6y+16[/tex]
Step-by-step explanation:
[tex]-(y+2)(y-8)[/tex]
[tex]-1(y+2) \times (y-8)[/tex]
[tex](-y-2)\times (y-8)[/tex]
[tex]-y(y-8)-2(y-8)[/tex]
[tex]-y^2+8y-2y+16[/tex]
[tex]-y^2+6y+16[/tex]
Jeanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are possible?
Answer:
210 ways
Step-by-step explanation:
In the question, the combination should be computed.
Number of ways of selection 6 flowers = nCr =10C6
[tex]\frac{n!}{r!(n-r)!}[/tex] =[tex]\frac{10!}{ 6!(10-6)!}[/tex]
=3628800/17280
=210
Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.
Answer:
Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.
Step-by-step explanation:
explanation
A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer:
b
Step-by-step explanation:
edge2020
plzz answer this question i will mark brainliest
Answer:
Step-by-step explanation:
line 1.
y=3
line 2.
x=-1.2
line 3.
x=3
line 4.
y=-2.6
length=3-(-1.2)=3+1.2=4.2
width=3-(-3)=3+3=6
area=4.2×6=25.2
At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footballs, but he needs to start off the season with at least 75. The footballs that he uses are sold in packages of 4. How many packages could the coach buy?
Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
Viktoriya solved an equation as shown below.
5 (x - 2) -3 x = 2 (x - 3) - 16
5 x - 10 -3 x = 2 x -6 = 16
2 x - 10 = 2 x - 22.
-10 = -22.
She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?
A.) Viktoriya used the distributive property incorrectly when she found the solution.
B.) Viktoriya should have said that the equation has no solution.
C.) Viktoriya should have continued to solve the equation to find that x = 0.
D.) Viktoriya should have said that the equation has one unique solution.
Answer:
B
Step-by-step explanation:
When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!
Answer:
I think it is B
Step-by-step explanation:
minus A plus 6 a ncert solution class 9
Answer:
yes htjjevdhfifnfjjdeirjfjebdv dbdu you fr
Escreva de duas formas diferentes os números a seguir. Urgente
A) 40.000.000.00
B) 0,02
C) 105.000.000
D) 0,000000007
E) 456.983
F) 0,000000673
Answer:
To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.
(A) 40,000,000.00.This number can be written in scientific notation like [tex]4 \times 10^{7}[/tex], where the exponent depends on the amount of zeros the quantity has.
A second way to write this number would be as a product [tex]2 \times 20,000,000.00[/tex].
(B) 0.02.Similarly, this number can be written in scientific notation [tex]2 \times 10^{-2}[/tex], also, we can write it as a fraction [tex]\frac{2}{100}[/tex].
(c) 105,000,000.This number in scientific notation would be [tex]1.05 \times 10^{8}[/tex]. As a product would be
[tex]1050 \times 100000[/tex].
(d) 0.000000007.In scientific notation would be [tex]7 \times 10^{-9}[/tex]. As a fraction would be [tex]\frac{7}{1000000000}[/tex].
(e) 456,983.In scientific notation would be [tex]4.56983 \times 10^{5}[/tex]. Also, we can write it as a sum
[tex]450,000 + 6,983[/tex]
(f) 0.000000673.In scientific notation would be [tex]6.73 \times 10^{-7}[/tex]. As a fraction would be [tex]\frac{673}{1000000000}[/tex]
what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?
Answer:
20 =10X2cm
20
answer answer
Step-by-step explanation:
First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.
[tex]H = \frac{w {}^{2} }{2g} (R{}^{2} -r {}^{2} )[/tex]
Please help me. I need the answer ASAP. Will mark Brainliest
Answer:
H * 2g/w² = R² - r²
r² = R² - H * 2g/w²
r = √(R² - H * 2g/w²)
The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply won’t latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that can’t be true because he measured your door frame and found it be an exact right angle. He claims what you’re seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle?
Answer:
If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.
Step-by-step explanation:
Maybe if the door was straight, but you saw it at a right angle then maybe you were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.
What is the frequency of a wave with a period of 0.2 seconds?
Answer: 5 Hz
The frequency is the inverse of period... Them:
[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]
What does Arc CDE describe?
a minor Arc
a major Arc
a semicircle
a chord
Answer:
I believe it's major arc
Step-by-step explanation:
Second option on edge
Answer:
b
Step-by-step explanation:
Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22
Answer:
[tex]S_n =[/tex] -2497
Step-by-step explanation:
We are given an arithmetic series with the following terms:
First term, [tex]Q_1[/tex] = -40
Common difference, d = -7
Number of terms, n = 22
To find out: Sum of n terms, where n is 22
We know that Sum of n terms in an arithmetic series is given as:
[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]
Putting the values in the formula:
[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]
So, the sum of 22 terms is -2497.
help please i’ll give u brianliest
Answer:
I guess the answer is c.... I guess it must be c
−4x−6=−5y+2 Write a formula for g(x) in terms of x
Answer:
4/5x + 8/5 = g(x)
Step-by-step explanation:
−4x−6=−5y+2
Solve for y
Subtract 2 from each side
−4x−6-2=−5y+2-2
-4x -8 = -5y
Divide each side by -5
-4x/-5 -8/-5 = -5y/-5
4/5x + 8/5 = y
Replace y with g(x)
4/5x + 8/5 = g(x)
I don’t understand how to find the median of the triangle.
Answer:
9
Step-by-step explanation:
You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y
Simplify to get...
16y = 18(y-1)
16y = 18y - 18
-2y = 18
y = 9
Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!
No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.
Can someone please help?? I need help on the Job one
Answer:
The first one
Step-by-step explanation:
The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament
Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
What is the horizontal distance from Mike to the kite?
The horizontal distance from Mike to the kite will be 12 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
Now,
Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
Let the horizontal distance from Mike to the kite = x feet
Hence, We can formulate;
⇒ 20² = x² + 16²
⇒ 400 = x² + 256
⇒ x² = 400 - 256
⇒ x² = 144
⇒ x = 12 feet
Thus, The horizontal distance from Mike to the kite will be 12 feet.
Learn more about the Pythagoras theorem visit:
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Given the function ƒ(x) = 9x2 + 27x + 2, find ƒ(2)
Answer:
92
Step-by-step explanation:
Please use " ^ " to indicate exponentiation, ok? Thank you.
If
ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"
f(2) = 9(2)^2 + 27(2) + 2
This becomes:
f(2) = 36 + 54 + 2 = 92
find the constant of proportionality: 84 miles per 4 hours
Answer:
k = 21 miles per hour
Step-by-step explanation:
The constant of proportionality is
k = 84/4
k = 21 miles per hour
Answer:
[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]
Step-by-step explanation:
[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]
Use cross multiply
[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
