4) Shreya's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
13 adult tickets and 9 student tickets for a total of $138. The school took in $163 on the second
day by selling 3 adult tickets and 14 student tickets. Find the price of an adult ticket and the
price of a student ticket. Find the price of and adult ticket and the price of a student ticket?
Answers
Answer:
adult: $3student: $11Step-by-step explanation:
Let x and y represent the prices of adult and student tickets, respectively. Then the revenue equations are ...
13x +9y = 138
3x +14y = 163
Solving this using a graphing calculator, we find (x, y) = (3, 11).
The price of an adult ticket is $3; the price of a student ticket is $11.
_____
Algebraic solution
When the numbers are "messy," as they are here, I like to use the "cross-multiplication method" for solution. I find it easier to use the order 1, x, y, rather than the order x, y, 1 as shown in the second attachment. That way, the coefficients are in their original order, with the first coefficient repeated. Note the right-side constant must be subtracted to get the form ax+by+c = 0.
[tex]\begin{array}{cccc}13&9&-138&13\\3&14&-163&3\end{array}[/tex]
Then we have ...
1/(13·14 -3·9) = x/(9·(-163) -14·(-138)) = y/((-138)·3 -(-163)·13)
x = 465/155 = 3 . . . . price of an adult ticket
y = 1705/155 = 11 . . . price of a student ticket
Related Questions
Which point is on the interior of
ДСАВ,
point B
point C
point D
point E
Answers
Answer:
I think its point D sorry if its not
Let f(x)=x2
If g(x) is the graph of f(x) shifted left 6 units, write a formula for g(x)
Answers
Answer:
g(x)=x2-6 aaàaaàaaaaaaaaaaaaaaaaaaaaaaa
Left is +/ right is -
Kelsie works at a bicycle shop as a salesperson. She records the number of bicycles she sells on a daily basis. Here is the probability distribution of
B
=
B=B, equals the number of bicycles Kelsie sells on a randomly selected day, and
T
=
T=T, equals the time she spends filling out daily sales reports.
B
=
#
of bicycles sold
B=# of bicycles soldB, equals, \#, start text, space, o, f, space, b, i, c, y, c, l, e, s, space, s, o, l, d, end text
0
00
1
11
2
22
3
33
T
=
time (minutes)
T=time (minutes)T, equals, start text, t, i, m, e, space, left parenthesis, m, i, n, u, t, e, s, right parenthesis, end text
0
00
10
1010
20
2020
30
3030
Probability
0.30
0.300, point, 30
0.50
0.500, point, 50
0.15
0.150, point, 15
0.05
0.050, point, 05
Find the expected value of the amount of time Kelsie spends filling out daily sales reports.
Answers
According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
The discrete distribution given is:
[tex]P(X = 0) = 0.3[/tex]
[tex]P(X = 10) = 0.5[/tex]
[tex]P(X = 20) = 0.15[/tex]
[tex]P(X = 30) = 0.05[/tex]
The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:
[tex]E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5[/tex]
The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
A similar problem is given at https://brainly.com/question/24855677
Answer: 9.5
Step-by-step explanation:
5(10-1)
48÷*4+4)
20-(4-(10-8)
40÷4-(5-3)
show your work
Answers
Answer:
1. 45
2. 6
3. 120
4. -20
Step-by-step explanation:
1. First you take 10-1=9x5=45
2. First you take 4+4=8 then 48/8=6
3. First you take 10-8=2x4=6x20=120
4. First you take 5-3=2-4=-2/40=-20
I hope this helped!S
If it takes someone t minutes to drive, run, or walk a mile, then their average speed s(t), in miles per hour, is
given by the formula
60
s(t) = 0
for t > 0
t
Find s(10) and s(12).
s(10) =
s(12) =
miles per hour
miles per hour
Answers
Answer:
The average speed here is 60 mph.
Step-by-step explanation:
We need to express the unit rate here. That's the speed, which is defined as (distance) / (time):
1 mile
speed s(t) = ----------------
t (min)
We need to convert the unit of time (min) to the new unit of time (hrs):
1 mile 60 min
speed s(t) = --------------- * -------------- = 60 miles/hr = 60 mph
t (min) 1 hr
The average speed here is 60 mph. This is not dependent on time, t, so we cannot calculate s(10) or s(12). Because of this, s(t) = 60 mph. The distance traveled in t hours is d(t) = s(t)*t.
700+500+100 Giving Brainliest
Answers
sweaters were on sale for 35% off the regular price. If the regular price for a sweater was $65.00, what was the sale price?
Answers
Answer:
For example, if you have to work out the original price of a laptop that is being sold at 25% off:
work out the current price as a percentage of the original price (100%): current price is 100% - 25%
Find 1% by dividing the current price by 75.
Multiply this 1% by 100 to find the original price (100%)
Step-by-step explanation:
Brainlilest mecorrect me if i'm wrong Carry on learningAnswer:
$42.25
Step-by-step explanation:
List price = $65.00
Discount = 35% .
Hence the new price is (100-35)% = 65% of original price .
=> price = $ 65 * 65/100
=> price = $42.25
Which ordered pairs in the form (x, y) are solutions to the equation
4x−5y=24
Select each correct answer.
(1, −4)
(4, 8)
(6, 0)
(−9, −12)
Answers
Answer:
Step-by-step explanation:
Substitute the given points (x, y )
For (x= 1, y= -4)
4x−5y = 24
4*1 −5* -4 = 24
4 + 20 = 24
24 = 24 ✅
For (x= 4, y= 8)
4x−5y = 24
4*4 −5*8 = 24
16 -40 = 24
-24 = 24 ❌
For (x= 6, y= 0)
4x−5y = 24
4*6 −5* 0 = 24
24 -0 = 24
24 = 24 ✅
For (x= -9, y= -12)
4x−5y = 24
4*-9 −5*-12 = 24
-36 + 60 = 24
24 = 24 ✅
Determine the solutions for the equation x2 + 3x + 5 = 0
Answers
Answer:
x2 +3x + 5=0
x(2+3)=5-0
x(5)=5
5x=5
5x\5=5\5
x=1
How many gallons are in 20 quarts?
1 gallon = 4 quarts
Answers
there are 5 gallons in 20 quarts
Answer:
5 gallons are in 20 quarts
Step-by-step explanation:
1gal=4 quarts
20 divided by 4 is 5
Which angle is supplementary to the angle DCF in this diagram.
Answers
The measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF
Supplementary anglesQuestions are known to be supplementary if the sum of the angles is 180 degrees.
From the given diagram, the measure of the angle DCF is 135 degrees
Determine the measure of the supplementary angle
<x = 180. - 135
<x = 45 degrees
From the diagram, you can see that the measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF
Learn more on supplementary angles here: https://brainly.com/question/12919120
#SPJ1
textRequest reports that adults 18–24 years old send and receive 128 texts every day. Suppose we take a sample of 25–34 year olds to see if their mean number of daily texts differs from the mean for 18–24 year olds reported by TextRequest.a. State the null and alternative hypotheses we should use to test whether the popu-lation mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.b. Suppose a sample of thirty 25–34 year olds showed a sample mean of 118.6 texts per day. Assume a population standard deviation of 33.17 texts per day and com-pute the p-value.c. With a = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.d. Repeat the preceding hypothesis test using the critical value approach.
Answers
Testing the hypothesis, we have that:
a)
The null hypothesis is: [tex]H_0: \mu = 128[/tex]
The alternative hypothesis is: [tex]H_1: \mu \neq 128[/tex]
b) The p-value of the test is of 0.1212.
c) Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
d) Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item a:
At the null hypothesis, we test if the mean is the same, that is, of 128 texts every day, hence:
[tex]H_0: \mu = 128[/tex]
At the alternative hypothesis, we test if the mean is different, that is, different of 128 texts every day, hence:
[tex]H_1: \mu \neq 128[/tex]
Item b:
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.
[tex]\mu[/tex] is the value tested at the null hypothesis.
[tex]\sigma[/tex] is the standard deviation of the population.
n is the sample size.
For this problem, the values of the parameters are: [tex]\overline{x} = 118.6, \mu = 128, \sigma = 33.17, n = 30[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{118.6 - 128}{\frac{33.17}{\sqrt{30}}}[/tex]
[tex]z = -1.55[/tex]
Since we have a two-tailed test, as we are testing if the mean is different of a value, the p-value is P(|z| < 1.55), which is 2 multiplied by the p-value of z = -1.55.
Looking at the z-table, z = -1.55 has a p-value of 0.0606
2(0.0606) = 0.1212
The p-value of the test is of 0.1212.
Item c:
Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item d:
Using a z-distribution calculator, the critical value for a two-tailed test with 95% confidence level is |z| = 1.96.
Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
A similar problem is given at https://brainly.com/question/25369247
1L solution containing 25,000 units run at 30mL/hour
Answers
Answer:
750 units
Step-by-step explanation:
As given in question,
speed of solution = 30 mL/hr
1 L of solution contains heparin = 25000 units
=> 1000 mL of solution contains heparin = 25000 units
= > \ \textrm{1 mL of solution contains heparin}\ =\ \dfrac{25000}{1000}\ units=> 1 mL of solution contains heparin =
1000
25000
units
= 25 units
Hence, 30 mL of solutions contains heparin = 30 x 1 mL of solution contains
heparin
= 30 x 25
= 750 units
Hence, heparin administered per hour = 750 units
Step-by-step explanation:
Brainlilest mecarry on
WILL MARK BRAINLIEST NO LINKS
Answers
(9 + 13 + 16 + 38) / (1 + 4 + 3 + 2) = 7.6
Differential Equations
Answers
A differential equation is an equation that includes an unknown function and its derivative. A differential equation describes a relationship between a function and changes in the function.
Differential equations are very important in higher mathematics and also in disciplines where mathematics is used. In subject areas such as physics, engineering, meteorology and economics, differential equations are used to describe connections and development processes.
Learn more about differential equations in https://brainly.com/question/14620493
Use the frequency table below to find the average score students earned on a
test.
Score
Frequency
65
6
70
10
75
16
80
12
85
8
90
6
Answers
So you would multiply the frequency to the score because finding the average is adding everything. then you add those numbers up. then, add up the frequency to get your divisor. After you divide you take your number and round to the hundreth or tenth
Robert took a math test and got 36 correct and 14 incorrect answers. What was the percentage of correct answers?
Answers
Answer:
72% correct
Step-by-step explanation:
PLS SHOW FULL STEP .................
Answers
Answer:
see below
Step-by-step explanation:
Benjamin has a ladder that is 15 ft long. he wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. what is the angle, rounded to the nearest tenth, that the ladder makes with the ground ?
Answers
Answer:
Step-by-step explanation:
θ = arcsin(13.8/15) = 66.9°
find the solution for x in the equation 2(3)^x=8
Answers
Answer:
x=1.26186
Step-by-step explanation:
There's an Algebra Calculator called Algebra Papa.
Need urgent help with this question, thanks.
Answers
Answer:
Step-by-step explanation:
Use the definition of the derivative to differentiate f(x)= In x
Answers
By def. of the derivative, we have for y = ln(x),
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}[/tex]
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)[/tex]
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}[/tex]
Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as
[tex]\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}[/tex]
[tex]\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}[/tex]
Recall that the constant e is defined by the limit,
[tex]\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}[/tex]
Then in our limit, we end up with
[tex]\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}[/tex]
In Mathematica, use
D[Log[x], x]
can anyone heelp me plzzzz plzzzz
Answers
Answer:
no entiendo :C
Step-by-step explanation:
Sam has a budget of $24 to buy ham and cheese to make sandwiches. If he bought only ham, he could buy 8 lb. If he bought only cheese, he could buy 3 lb. Let x represent the amount of ham and y represent the amount of cheese. Write an equation in standard form to model the different amounts of ham and cheese he can buy.
Answers
Answer:
Step-by-step explanation:
Como calculo el ingreso máximo
Answers
Answer:
El ingreso total es todo el dinero que obtiene la empresa por la venta de productos. Se obtiene de multiplicar la cantidad vendida (Q) por su precio (P). Así, si Juan y Ana venden 300 armarios a 30 euros cada uno, su ingreso total son 9.000 euros (300x30)
https://youtu.be/HJtioEk2HIg (video explicando mas)
Help help help help math help help math help help
Answers
Answer:
They are not congruent.
Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. 6x2−2x=0
Answers
Answer:
x = 0, 1/3
Step-by-step explanation:
The greatest common factor is 2x. Factoring that out, we have ...
2x(3x -1) = 0
The solutions will be the values of x that make the factors 0.
x = 0
3x -1 = 0 ⇒ x = 1/3
The solutions are x = 0, 1/3.
_____
Check
x = 0 ⇒ 6·0² -2·0 = 0 ⇒ 0 - 0 = 0 . . . true
x = 1/3 ⇒ 6(1/3)² -2(1/3) = 0 ⇒ 6/9 -2/3 = 0 . . . true
What is the value of -2(8-(-2))
-8(17-12)
?
1 )
-2
02
O4
Answers
Answer:
C. 2
Step-by-step explanation:
[tex]\frac{-8(17-12)}{-2(8-(-2))}[/tex]
Subtract inside the parenthesis inside the numerator.
[tex]\frac{-8(5)}{-2(8-(-2))}[/tex]
Multiply -8 and 5 in the numerator.
[tex]\frac{-40}{-2(8-(-2))}[/tex]
Rewrite the denominator knowing that x - (-y) = x + y.
[tex]\frac{-40}{-2(8+2)}[/tex]
Add inside the parenthesis in the denominator.
[tex]\frac{-40}{-2(10)}[/tex]
Multiply -2 and 10 in the denominator.
[tex]\frac{-40}{-20}[/tex]
Rewrite the fraction knowing that (-x)/(-y) = x/y.
[tex]\frac{40}{20}[/tex]
Divide 40 by 20 to get: 2.
from 5x² - 6x + 8, subtract 3x² - 2x - 4
Answers
Answer:
Step-by-step explanation:
2x squared-4x+4
Answer:
-2
Step-by-step explanation:
HOPE THIS HELPS
1
Line XY represents a proportional relationship. Point X lies at (5,7). List 3 ordered pairs that could be the
coordinates for point Y.
1
Answers
9514 1404 393
Answer:
(1, 1.4), (10, 14), (50, 70)
Step-by-step explanation:
To obtain another point where the values have the same proportional relationship, multiply both coordinate values by the same factor.
using a factor of 1/5: Y = (1, 1.4)
using a factor of 2: Y = (10, 14)
using a factor of 10: Y = (50, 70)
