Answer:
Student's tickets: 60
Adult's tickets: 190
I think this is right
Step-by-step explanation:
"Let x represent the number of tickets sold to students under the age of 16. Let y represent those over the age of 16.
Equation 1, number of tickets sold:
The total number of tickets sold to students under the age of 16 plus the number of tickets sold to students over 16 must equal 250 (since the theater was sold out). The equation becomes:
x + y = 250
Equation 2, revenue from tickets sold.
The total revenue was $910. The cost of tickets under 16 is $2.50 and the cost of tickets over 16 is $4.00. The equation becomes:
2.50 * x + 4.00 * y = 910.00
The system of equations to solve is:
x + y = 250
2.50 * x + 4.00 * y = 910.00 "
Write the expression shown below in simplest terms.
4/5 (10x - 25) + 25
Answer:
4
0
−
1
0
0
5
+
2
5
Step-by-step explanation:
Brainliest?
if(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
Answer/Step-by-step explanation:
Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.
f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not
the same as g ◦ f. (This means that composition is not commutative).
f ◦ g ◦ h is the composition that composes f with g with h.
Since when we combine functions in composition to make a new function, sometimes we
define a function to be the composition of two smaller function. For instance,
h = f ◦ g (1)
h is the function that is made from f composed with g.
For regular functions such as, say:
f(x) = 3x
2 + 2x + 1 (2)
What do we end up doing with this function? All we do is plug in various values of x into
the function because that’s what the function accepts as inputs. So we would have different
outputs for each input:
f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)
f(0) = 3(0)2 + 2(0) + 1 = 1 (4)
f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)
When composing functions we do the same thing but instead of plugging in numbers we are
plugging in whole functions. For example let’s look at the following problems below:
Examples
• Find (f ◦ g)(x) for f and g below.
f(x) = 3x + 4 (6)
g(x) = x
2 +
1
x
(7)
When composing functions we always read from right to left. So, first, we will plug x
into g (which is already done) and then g into f. What this means, is that wherever we
see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).
g(x) = x
2 +
1
x
(8)
f(x) = 3x + 4 (9)
f( ) = 3( ) + 4 (10)
f(g(x)) = 3(g(x)) + 4 (11)
f(x
2 +
1
x
) = 3(x
2 +
1
x
) + 4 (12)
f(x
2 +
1
x
) = 3x
2 +
3
x
+ 4 (13)
Thus, (f ◦ g)(x) = f(g(x)) = 3x
2 +
3
x + 4.
Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but
with one extra step.
• Find (f ◦ g ◦ h)(x) given f, g, and h below.
f(x) = 2x (14)
g(x) = x
2 + 2x (15)
h(x) = 2x (16)
(17)
We wish to find f(g(h(x))). We will first find g(h(x)).
h(x) = 2x (18)
g( ) = ( )2 + 2( ) (19)
g(h(x)) = (h(x))2 + 2(h(x)) (20)
g(2x) = (2x)
2 + 2(2x) (21)
g(2x) = 4x
2 + 4x (22)
Thus g(h(x)) = 4x
2 + 4x. We now wish to find f(g(h(x))).
g(h(x)) = 4x
2 + 4x (23)
f( ) = 2( ) (24)
f(g(h(x))) = 2(g(h(x))) (25)
f(4x
2 + 4x) = 2(4x
2 + 4x) (26)
f(4x
2 + 4x) = 8x
2 + 8x (27)
(28)
Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x
2 + 8x.
Complete this number sentence.
0.59 > ____
A) 0.7
B) 0.09
C) 0.59
D) 0.61
Answer:
A and D are the answers for the question and
Step-by-step explanation:
please mark me as brainlest
5 (2x + 10) = 50
What is the answer
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Answer:
x = 0
Step-by-step explanation:
You can eliminate parentheses and subtract 50.
5(2x +10) = 50
10x +50 = 50 . . . . use the distributive property
10x = 0 . . . . . . . . . subtract 50 from both sides
x = 0 . . . . . . . . . . . divide by 10
__
Check
5(2·0 +10) = 50
5(10) = 50 . . . . true
Two number cubes, one red and one blue, are rolled. What is the probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5
Answer: The probability is 0.083
Step-by-step explanation:
First, let's find the individual probabilities:
The probability that the outcome of the red number cube is even:
This will be equal to the quotient between the number of outcomes that are even (3) and the total number of outcomes for this dice (6)
Then the probability is:
p = 3/6 = 1/2.
The probability that the outcome of the blue number cube is a 5.
Similar to the above case, here the probability will be the quotient between the number of outcomes that are 5 (only one) and the total number of outcomes.
q = 1/6
And the joint probability will be equal to the product of the individual probabilities, then he probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5 is equal to:
P = p*q = (1/2)*(1/6) = 1/12 = 0.083
5.7 +2.25 +1.3 I NeEd help
Answer:
9.25
Step-by-step explanation:
No problem..
3(5 +4) + 4 – 2 •4=
HELPPPP
Answer:
23
Step-by-step explanation: hope this helps
Can you anser the question number 7
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width = [tex]\frac{1}{2}x[/tex]
We need to find the length and width.
The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Who can answer this ??
Answer:
I think d sorry if I get it wrong
You had a goal to collect 150 cans for a food drive. You were able to collect 90 cans. What percent of your goal did you collect?
Answer:
60 %
Step-by-step explanation:
multiply .90 * 150
Answer:
60%
Step-by-step explanation:
hope this helps <3
find the zeros of the function by factoring 3x^2+ 10x=8
Answer:
[tex]x=\frac{2}{3}, -4[/tex]
Step-by-step explanation:
hope this helps!
Mr. Jenkins has 19 cases of beans on the shelves in the grocery store. He also has 6 cases of beans in the stock room. There are 14 cans of beans in each case. Which expression represents the total number of cans of beans Mr. Jenkins has? (19 + 14) x 6 14 x (19 + 6 ) (6 + 14) x 19 (6 x 19 + 14
Answer:
14 × (19 + 6)
hope it helps
The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Mr. Jenkins has 19 cases of beans
He also has 6 cases of beans in the stock room
There are 14 cans of beans in each case
Expression for total number of beans = ?
Total number of beans = Total number of cases ×beans in each case
Total number of beans = (beans in grocery store+beans in stock room)×14
Total number of beans = (19 +6) × 14
Hence, the expression is (19 +6) × 14
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
HELP DUE IN 30 MIN
x =
Answer:
x=4
Step-by-step explanation:
21x+6=90(alternate angles)
21x=90-6
x=94/21
Therefore, x=4
Answer:
x=4
Step-by-step explanation:
21x+6=90
-6. -6
21x=84
/21. /21
x=4
Please help me with this question
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Answer:
x = 7 1/3
Step-by-step explanation:
The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...
(x -2) = (2/3)(8)
3(x -2) = 16 . . . . . multiply by 3 to clear fractions
3x -6 = 16 . . . . . . eliminate parentheses
3x = 22 . . . . . . . . add 6; next divide by 3*
x = 22/3 = 7 1/3 . . . . . feet
_____
* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.
help help help ! (ITS DUE)
Answer:
y÷8
Step-by-step explanation:
The quotient is the result of division between two numbers.
SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!
A card is selected from a pack of 52 cards. What is the probability that the card is a 4
Answer:
1/52
Step-by-step explanation:
The probability that the card is a 4 in a pack of cards is 1 /13.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, A card is selected from a pack of 52 cards. A favorable outcome is getting 4 since there are four 4 in a pack of cards. Thus,
When a card is selected from a pack of 52 cards the number of possible outcomes is 52 i.e., the sample space contains 52 elements
Therefore there are 52 points in the sample space.
Let E be the event in which the card drawn is an ace.
Since there are 4 aces in a pack of 52 cards n(E)=4
∴P(E)= [tex]\frac{Totalnumberofpossibleoutcomes}{Numberofoutcomesfavourableto}[/tex]
E = [tex]\frac{n(S)}{n(E)}[/tex]
E = 4/52 = 1/13
Therefore, In a deck of cards, there is a 1 in 13 chance that the card is a 4.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
help please thank you!!
F.4/7
G.1/2
H.1/4
J.3/7
Answer:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closin[tex]\sqrt{x} 67[/tex]g of the frontier
select all the questions that can represent the question: how many groups of 2/3 are in 1
1. 1 • 2/3 = ?
2. 2/3 divide 1 = ?
3. ? • 1 = 2/3
4. ? • 2/3 = 1
5. 1 divide 2/3 = ?
please help
Write an exponential function that passes through the points:
1. (0,8),(1,12)
2. (0,3), (5, 16)
Answer:
If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .
X =
95
(7x - 4)
(3x + 23)°
(9x – 6)
Answer:
661 is for the first 308 for second 849 for last
Step-by-step explanation:
Which interval notation represents the set of all number greater than or equal to 1 and less than 6
Indicating the solution to an inequality such as \displaystyle x\ge 4x≥4 can be achieved in several ways.
We can use a number line as shown in Figure 2. The blue ray begins at \displaystyle x=4x=4 and, as indicated by the arrowhead, continues to infinity, which illustrates that the solution set includes all real numbers greater than or equal to 4.
A number line starting at zero with the last tick mark being labeled 11. There is a dot at the number 4 and an arrow extends toward the right.
Figure 2
We can use set-builder notation: \displaystyle \{x|x\ge 4\}{x∣x≥4}, which translates to “all real numbers x such that x is greater than or equal to 4.” Notice that braces are used to indicate a set.
The third method is interval notation, in which solution sets are indicated with parentheses or brackets. The solutions to \displaystyle x\ge 4x≥4 are represented as \displaystyle \left[4,\infty \right)[4,∞). This is perhaps the most useful method, as it applies to concepts studied later in this course and to other higher-level math courses.
The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number. Use parentheses to represent infinity or negative infinity, since positive and negative infinity are not numbers in the usual sense of the word and, therefore, cannot be “equaled.” A few examples of an interval, or a set of numbers in which a solution falls, are \displaystyle \left[-2,6\right)[−2,6), or all numbers between \displaystyle -2−2 and \displaystyle 66, including \displaystyle -2−2, but not including \displaystyle 66; \displaystyle \left(-1,0\right)(−1,0), all real numbers between, but not including \displaystyle -1−1 and \displaystyle 00; and \displaystyle \left(-\infty ,1\right](−∞,1], all real numbers less than and including \displaystyle 11. The table below outlines the possibilities.
I hope I will help
Find the slope and the y-intercept of the line.
1
y=-x+5
4
*x+5
slope:
8
08
Undefined
X Х
y-intercept: 0
6
Slope is -1/4
Y intercept is 5
DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY
Step-by-step explanation:
Arrow JK=360-54-130-110=66
arrow MK=66+54=120
Angle L=120/2=60
3a=60
a=30
Cound someone explain the relativistic mass-energy equation for me please? 100 points and brainliest
Answer:
Relativistic energy is conserved as long as we define it to include the possibility of mass changing to energy. Total Energy is defined as: E = γmc2, where γ=1√1−v2c2 γ = 1 1 − v 2 c 2 . Rest energy is E0 = mc2, meaning that mass is a form of energy. If energy is stored in an object, its mass increases.
Step-by-step explanation:
Answer:
Energy can either be potential energy or kinetic energy, but mechanical energy
Mechanical energy = Potential energy + Kinetic energy
[tex]potential \: energy = mgh \\ kinetic \: energy = \frac{1}{2}m {v}^{2} \\ mechanical \: energy = mgh + \frac{1}{2} m {v}^{2} \\ = \frac{1}{2} m(2gh + m {v}^{2} )[/tex]
Then for Eistein mass energy relation
E = mc²
c is speed of light
Fill in the inequality first ( ) and then the number: x ____ ____
Answer:
x < 88
Step-by-step explanation:
ΔCED and ΔCEF
DE = EF CE = CE CF < CD
∠FEC < ∠DEC
x - 13 < 75
x < 88
What inverse trig function can be used to find the measure of angle A? (Will give Brainliest ❤️❤️)
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Answer:
(b) sin⁻¹
Step-by-step explanation:
The relevant trig function relating angles to sides is ...
Sin = Opposite/Hypotenuse
Here, we have ...
sin(A) = 4/12 = 1/3
A = arcsin(1/30 = sin⁻¹(1/3)
The inverse sine function can be used to find the angle.
math problem need help
-2x^a(-4x^b-2x^3+5x)
find the product
help plzzz
Can someone PLEASE help me and solve for x. Step by step would be appreciated.
Answer:
You done it right
Step-by-step explanation: