Answer:
x
Step-by-step explanation:
The numerical coefficient is x.
The manager of a movie theater compared ticket
sales for two movies showing on the same night.
For the first movie, 150 adult tickets and
100 child tickets were sold for $3,087.50 in total
ticket sales. For the second movie, 200 adult
tickets and 150 child tickets were sold for
$4,287.50 in total ticket sales. What was the price
of each adult and each child ticket?
Answer:
adult: $13.75child: $10.25Step-by-step explanation:
You have two revenue relations and want the price of each adult and child ticket. 150 adult and 100 child tickets sold for $3087.50; 200 adult and 150 child tickets sold for $4287.50.
EquationsEach of the revenue relations can be formulated as an equation. If x and y represent the price of each adult and child ticket, respectively, then ...
150x +100y = 3087.50
200x +150y = 4287.50
SolutionThe solution can be found many ways. A graphing calculator (first attachment) shows the solution to be ...
adult price: $13.75child price: $10.25The calculator function that reduces a matrix to row-echelon form can be used on the augmented matrix of coefficients. That, too, gives the solution about as quickly as you can enter the coefficients. This is shown in the second attachment.
Subtracting twice the second equation from 3 times the first will eliminate the y-variable:
3(150x +100y) -2(200x +150y) = 3(3087.50) -2(4287.50)
50x = 687.50
x = 13.75 . . . . . . divide by 50
From the second equation, ...
y = (4287.50 -200(13.75))/150 = 1537.50/150
y = 10.25
help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
h = 289 feet
Step-by-step explanation:
Comment
You need two givens to use in the formula to solve for the third.
Formula
v = sqrt(2*g*h)
Givens
V = 136 ft/s
g = 32 ft/s^2
h = ?
Solution
v = sqrt(2*g*h) Put the givens into the formula.
136 = sqrt(2* 32 * h) Square both sides
136^2 = sqrt(2*32*h)^2 Expand
18496 = 64* h Divide by 64
18496/64 = 64*h/64
289 feet = h
So the object must fall 289 feet before it reaches 136 m/s
in a one-tailed hypothesis test (lower tail), the z test statistic is determined to be -1.9. the p-value for this test is
The p-value for this z test statistic is equal to 0.0287.
What is a null hypothesis?A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
How to calculate value of the z test statistic?The z test statistic can be calculated by using this formula:
[tex]t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x represents the sample mean.μ represents the mean.σ represents the standard deviation.n represents the number of hours.In this scenario, the z test statistic for a one-tailed hypothesis test (lower tail) is equal to -1.9. Therefore, by using a t-distribution and z-score calculator for a normal distribution, the p-value for this test is given by:
P-value = P(t > -1.9)
P-value = 0.0287.
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HELPP!!!1 i'm rushing like i need to summit that ASAP!!
The missing expression in step 2 should be [(6² + 2)/0.5] - 14.8 ÷ 8.
The missing expression in step 6 should be 76 - 1.85.
How to evaluate and solve the given expression?In order to evaluate this expression, we would apply the PEMDAS rule, where mathematical operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
For step 1, we have the following:
[(6² + 2)/|-0.5|] - 14.8 ÷ 8.
In step 2, we would take the absolute value of -0.5:
[(6² + 2)/0.5] - 14.8 ÷ 8.
Therefore, we would have the quantity of the sum of six squared (6²) plus two (2) divided by 0.25, minus 14.8 ÷ 8
In step 3, we would take the exponent of 6:
[(36 + 2)/0.5] - 14.8 ÷ 8.
In step 4, we would add 36 and 2 together:
[(38)/0.5] - 14.8 ÷ 8.
In step 5, we would divide 38 by 0.5:
76 - 14.8 ÷ 8.
In step 6, we would divide 14.8 by 0.5:
76 - 1.85
In step 7, we would subtract 1.85 from 76 as follows:
Solution = 76 - 1.85 = 74.15.
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can the sum X to the power of two plus X to the power of three be written in simpler form? explain.
The sum X to the power of two plus X to the power of three be written in simpler form is X² + X³.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, this will be illustrated as X² + X³. In this case, it illustrate the addition of exponents.
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Gerardo and his two friends order a pizza and decide to split the cost evenly. Each person ordered a drink for $1.50. How much was the pizza if each person paid $8?
19.50 cost of pizza
Step-by-step explanation:
$8.00-$1.50 = $6.50 × 3 =19.50
Question 1(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
One leg of a right triangle is 8 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
11 units
13 units
18 units
22 units
Question 2(Multiple Choice Worth 2 points)
(Interior and Exterior Angles LC)
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
145.85°
57.45°
34.15°
72.925°
Question 3(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
Question 4(Multiple Choice Worth 2 points)
(Polygon Angle Sums MC)
A regular polygon has 25 sides. If one of its angles measures (6h − 15)°, what is the value of h?
h = 6.7
h = 16.7
h = 30.1
h = 33.8
Question 5(Multiple Choice Worth 2 points)
(Angle Relationships LC)
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 109.6°.
250.4°
63.2°
70.4°
19.6°
Question 6(Multiple Choice Worth 2 points)
(Angle Relationships MC)
Two angles are complementary to each other. One angle measures 26°, and the other angle measures (10x − 11)°. Determine the value of x.
2.6
5.6
7.5
24.5
Question 7(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the distance between the points (−4, −5) and (8, 0).
13 units
12 units
8 units
29 units
Question 8(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
In triangle EFG, m∠E = 95.2° and m∠F = 43.7°. Determine the measure of the exterior angle to ∠G.
138.9°
84.8°
51.5°
41.1°
Question 9(Multiple Choice Worth 2 points)
(Angle Relationships MC)
The following angles are supplementary to each other.
m∠A = (3x + 21)° and m∠B = (6x − 21)°
Determine x.
10
20
36
60
Question 10(Multiple Choice Worth 2 points)
(Pythagorean Theorem LC)
Determine which set of side measurements could be used to form a right triangle.
square root of 19 comma square root of 35 comma 54
square root of 15 comma 6 comma square root of 51
5, 8, 30
5, 6, 7
Question 11(Multiple Choice Worth 2 points)
(Pythagorean Theorem LC)
Determine which set of side measurements could be used to form a triangle.
2, 6, 10
3, 18, 22
7, 13, 16
8, 7, 19
Question 12(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
For triangle XYZ, m∠X = (7g + 12)° and the exterior angle to ∠X measures (2g + 60)°. Find the measure of ∠X and its exterior angle.
Interior angle = 49°; exterior angle = 131°
Interior angle = 131°; exterior angle = 49°
Interior angle = 96°; exterior angle = 84°
Interior angle = 84°; exterior angle = 96°
Question 13(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 9 feet of fence for the shortest side and 15 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?
12 feet
16 feet
36 feet
38 feet
Question 14(Multiple Choice Worth 2 points)
(Polygon Angle Sums LC)
Find the sum of the interior angles of a 12-sided polygon.
1,080°
1,800°
2,100°
2,160°
Question 15(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (1 −1), and Monique's desk is located at (−4, 5). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 7 feet
square root of 14 feet
square root of 85 feet
square root of 61 feet
Answer:
Step-by-step explanation:
This problem is solved using the Pythagorean theorem (a2+b2=c2). In this formula a and b are the legs of the right triangle while c is the hypotenuse.
Using the labels of our triangle we have:
o2+a2=h2
\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
So with this information you can see that the correct answer is 19.7ft
Zachary is applying biomechanics to develop a specialized bat for a professional player. What does he compar
the hitter to?
Oa machine
O a computerized model
O another professional player
O a 3-D diagram
Answer:
Another Professional Player
Ms. Lewinsky’s math class has k students. If p students earned a C or better on the last test, what fraction of the class did NOT eat a C or better on the last test?
Answer:
its "a" your welocome
Step-by-step explanation:
i did the test
a surgeon developed a new procedure for knee replacement surgery. to study its effectiveness, they recruit patients who need knee replacement surgery and are willing to participate in a blind study. the surgeon randomly assigns each volunteer to receive either the new procedure or the standard procedure. after the surgeon performs the procedure, they monitor each patient to see if one group has better results than the other. what does it mean for this experiment to be blind?
Answer: The volunteers are unaware of which surgery they receive.
Step-by-step explanation:
Ms.emlyn buys a hat and gloves with a coupon for 30% off her entire purchase. the gloves cost $35 before the discount. her bill before tax is $44.80.write an equation to find the original cost of the hat.
The equation to find the original cost of hat is
44.80 = (x + 35) - (x+35)× 10/3
In the given question we have,
Ms. emlyn buys a hat and gloves with coupon for 30% off her entire purchase.
discount on total purchase = 30%
cost of gloves before discount = $35
let the cost of hat be $x before discount . The bill paid by Ms emlyn after discount but without tax = $44.80
total cost ( hat+gloves) before discount= $(x+35)
Now, after sum up all information we get,
$(x+35) - 30%discount on $(x+35) = $44.80
=> x+35 - (x+35)100/30 = 44.80
=> x+35 - (x+35)10/3= 44.80
which is required equation for original cost of hat.
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find the value of x in each case
De la comida que hay en la nevera, un tercio son alimentos sólidos. De estos un medio son vegetales, de los cuales tres quintos son frutas, de las que dos quintos son manzanas.
¿Qué fracción del total son manzanas?
Si X es la cantidad total de alimento en la heladera, (1/10)*X es la cantidad de manzanas, entoces vemos que la fraccion es 1/10.
¿Qué fracción del total son manzanas?Digamos que la variable X representa la cantidad total de comida en la heladera.
Sabemos que un tercio del total de los alimentos son solidos, entonces la cantidad de alimentos solidos es:
(1/3)*X
Luego 1/2 de estos son verduras, entonces la cantidad de verduras que tenemos es:
(1/2)*(1/3)*X
Finalmente, 3/5 de las verduras son manzanas, entonces la cantidad de manzanas es:
(3/5)*(1/2)*(1/3)*x = (1/10)*x
Asi hemos encontrado la fraccion.
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Beginning with the equation 3m=7 write the new equation produced by multiplying both sides by 3/8
Answer:
9/8 m = 21/8
or
9m/8 = 21/8
Step-by-step explanation:
3m = 7
3/8 × 3m = 3/8 × 7
9/8 m = 21/8
A local hamburger shop sold a combined total of 680 hamburgers and cheeseburgers on Friday. There were 70 fewer cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?
hamburgers
Answer:
375
Step-by-step explanation:
h + c = 680
c = h - 70
h + h - 70 = 680
2h = 680 + 70
2h = 750
2/2 h = 750/2
h = 375
Write the first four terms of two different arithmetic sequences with a common difference of −3. The first sequence starts with −12 and the second sequence starts with 12.
Answer:
Step-by-step explanation:
The first arithmetic sequence would be -12, -15, -18, -21. The second sequence would be 12, 9, 6, 3.
Determine the slope of the graph of x2 = ln(xy) at the point (1, e).
The slope of the given graph x^2 = ln (xy) at the point (1, e) is e
We have been given a graph x^2 = ln (xy) and a point (1, e)
Differentiate the given graph on both sides
d/dx x^2 = d/dx (ln (xy))
⇒ 2x = 1/xy × d/dx (xy)
⇒ 2x × xy = x.dy/dx + y.dx/dx
⇒ 2x^2y = x.dy/dx + y
⇒ 2x^2y = x.dy/dx + y
⇒ 2x^2y - y = x.dy/dx
⇒ (2x^2y - y)/x = dy/dx … (1)
The slope at the point (1, e)
m = dy/dx at x = 1, y = e
Substitute the values in Equation (1)
⇒ m = (2(1)^2 (e) - e)/1
⇒ m = (2e - e)/1
⇒ m = e/1
⇒ m = e
Hence, the slope of the given graph is e.
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Método de igualación. {x-2y=11
x+5y=−17
The value of x and y is 7 and -2 respectively.
The equations to solve are -
x - 2y = 11 ....[1]x + 5y =−17 ....[2]On adding equations 1 and 2 we get ,
3y = -6
y = -2
Putting the value of y in equation 1,
⇒ x - 2(-2) = 11
⇒ x + 4 = 11
⇒ x = 7
Hence ,the value of x and y is 7 and -2 respectively.
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What is the third term of the sequence 20 - n²
A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11.
What is a series?A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
As per the given sequence, 20 - n²
The 20 - n² represents the nth term of the sequence.
Thus a(n) = 20 - n²
For the third term n = 3
a(3) = 20 - (3)²
a(3) = 20 - 9 = 11
Hence "A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11".
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Convert 42°C into °F
Answer: 107.6
(42c x 9/5) +32
Joe and Chris share a locker at school. if they each have 8 classes and each class has 2 books, how many books are in the locker. Please show the work! :)
Answer:
32 books
Step-by-step explanation:
Well if each have 8 classes and 2 books per class then to get the total of books you'd multiply 8x2 and you get 16 for one alone. Since its two people sharing a single locker than add 16 with another 16 and you get 32!
sorry I can't physically show the work but writing down a 8x2 on the side and then adding 16 to that answer should show it off! :]
The area of a rectangular floor is 8x² + 6x-20. The width of the floor is 2x + 4. What is the length of the floor?
Answer:
Length = 4x - 5
Step-by-step explanation:
A = length x width
an experiment consists of tossing a fair die until a 6 occurs four times. what is the probability that the process ends after exactly stack exchange
The experiment will end after 4th time.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .hence, after 4th trial experiment will stop.
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What equation is graphed in this figure?
y−4=−1/3(x+2)
y−3=1/3(x+1)
y+2=−3(x−1)
y−5=3(x−1)
The equation of the graph in point slope form is y + 2 = -3(x - 1)
How to find equation of a graph?The equation of the graph in point slope form can be represented as follows;
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are variableusing two point let's find the slope
(0, 1)(-1, 4)
Hence,
m = 4 - 1 / -1 - 0
m = 3 / -1
m = -3
Therefore, the slope of the line is - 3.
Therefore, using one coordinates(1, -2) from the graph, the equation of the graph in point slope form is y + 2 = -3(x - 1)
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why is it important to create a budget even if you don’t get a lot of money or if you have an irregular income?
Answer:
it is important because this will be helpful for your incomes, tax, bills etc. This also will plan for other things that you might pay like savings.
Step-by-step explanation:
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos, and your total bill is $11.25. Your friend’s bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost? Explain and show work
The cost of a soft taco is $1.25 and the cost of a burrito is $2.50.
Let the cost of a soft taco would be t and,
The cost of a burrito would be b
As per the given question, the equations would be as
3t+3b=11.25 ...(i)
4t+2b=10 ...(ii)
With the two equations in that form, an elimination solution is probably the simplest.
Multiply each equation by a constant so that the coefficients of b are opposite so that when the two equations are joined, b is eliminated.
-6t-6b = -22.50
12t+6b = 30.00
_____________
6t = 7.50
t = 7.50/6 = 1.25
Substitute the value of t = 1.25 in equation (ii), and solve for b
4(1.25)+2b=10
5+2b=10
2b=5
b=2.50
Thus, the cost of a soft taco is $1.25 and the cost of a burrito is $2.50.
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during the course of the basketball season, shawna made 67 out of 100 free throws. when we say that her probability of making a free throw during the playoffs is 0.67, what type of probability are we starting?
The type of probability are we starting will be relative frequency probability or the empirical probability,
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Given that, Shawna made 67 out of 100 free throw attempts during the course of the basketball season. When we state that she has a 0.67 chance of making a free shot during the postseason,
The ratio of the number of times an event occurs to the total number of outcomes that occurred is known as relative frequency.
Thus, the type of probability are we starting will be relative frequency probability or the empirical probability,
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When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be?
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
The product of 6 and the square of a number
Consider the number as x
Then the product of 6 and the square of a number = [tex]6x^2[/tex]
The product of 6 and the square of a number is increased by 5 times the number, the result is 4
Then the equation will be
[tex]6x^2[/tex] + 5x = 4
Move 4 to the left hand side of the equation
[tex]6x^2[/tex] + 5x - 4 = 0
We have to solve the quadratic equation
Split the middle terms
[tex]6x^2[/tex] + 8x - 3x -4 = 0
2x(3x+4) -1(3x+4) = 0
(2x-1)(3x+4)= 0
Then the value of x will be
2x- 1 = 0
2x = 1
x = 1/2
Similarly
3x+4 = 0
3x = -4
x = -4/3
Hence, when the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
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solve for n. 15n<580.5 ill give 30 points. i need it fast asap
Answer: K 35
Step-by-step explanation:
We're given the inequality : 15n < 580.5
Divide both sides by 15.
-> 15n : 15 < 580.5 : 15
-> n < 38.7
Therefore, the final inequality is : n < 38.7
couple has 5 kids, all sons. if they have a sixth kid, what is the probability that the sixth kid will be a son?
