Use this information to answer the questions below.If not enough information is given to answer a question, click on "Not enough information."Each student in Ms. Lee's class is either a junior or a senior. There are 34 juniors in Ms. Lee's class. Recently, she took 30 students from her class on a field trip.4/5 Of these 30 students, were juniors.
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Step 1
Given;
[tex]\begin{gathered} There\text{ are 34 Juniors in Ms. Lee's} \\ 30\text{ students were taken on a trip} \\ \frac{4}{5\text{ }}\text{ of the 30 students are Juniors} \end{gathered}[/tex]Step 2
A) Find how many Juniors from the class went on the field trip
[tex]=30\times\frac{4}{5}=24[/tex]The number of Juniors that went on the field trip is 24.
Step 3
Find how many students are in the class
[tex]Not\text{ enough information}[/tex]Step 4
Find how many Seniors from the class went on the field trip
[tex]\begin{gathered} =Total\text{ number of students that went on the field trip-Juniors that went on the trip} \\ =30-24=6 \end{gathered}[/tex]6 senior students went on the field trip.
Answers;
[tex]\begin{gathered} A)24\text{ Junior students} \\ B)\text{ Not enough Information} \\ C)6\text{ senoir Studenbts} \end{gathered}[/tex]Related Questions
the steps to solve 9x - 2c= k solving for x
Answers
The given equation is
9x - 2c = k
We would solve for x by making x the subject of the formula. The first step is to add 2c to both sides of the equation. It becomes
9x - 2c + 2c = k + 2c
9x = k + 2c
We would divide both sides of the equation by 9. It becomes
9x/9 = (k + 2c)/9
x = (k + 2c)/9
5. Caleb earns points on his credit card that he can use towards future purchases. He earns fourpoints per dollar spent on flights, two points per dollar spent at hotels, and one point perdollar spent on all other purchases. Last year, he charged a total of $9,480 and earned14,660 points. The amount of money spent on flights was $140 more than twice the amountof money spent on hotels. Find the amount of money spent on each type of purchase.can you solve it as matrix
Answers
This problem can be seen as the next equation
[tex]\begin{gathered} 4F+2H+1O=T \\ F\text{ = dollars spent on flights} \\ H\text{ = dollars spent at hotels} \\ O\text{ = dollars spent in other stuff} \\ T\text{ = total of points} \end{gathered}[/tex]Since he have charged 9480 dollars in total then we also have the next equation.
[tex]F+H+O=9480[/tex]With the rest of the information, we conclude the next system of equations
[tex]\begin{gathered} 4F+2H+O=14660 \\ F+H+O=9480 \\ F-2H=140 \end{gathered}[/tex]From the first two equations, we can substract them to obtain
[tex]\begin{gathered} 4F+2H+O=14660 \\ - \\ F+H+O=9480 \\ = \\ 3F+H=5180 \end{gathered}[/tex]If we multiply this last equation by 2 and add it to the last equation in the system we have
[tex]\begin{gathered} 6F+2H=10360 \\ + \\ F-2H=140 \\ = \\ 7F\text{ = }10500 \\ \end{gathered}[/tex]So
[tex]\begin{gathered} F=\frac{10500}{7}=1500 \\ H=\frac{1500-140}{2}=680 \\ O=9480-1500-680=7300 \end{gathered}[/tex]Then, he spent 1500 dlls. on flights, 680 dlls. at hotels and 7300 dlls. on others
[tex]\begin{gathered} 4\text{ 2 1 14660 } \\ 1\text{ 1 1 9480} \\ 1\text{ -2 0 140 }\approx \\ 4\text{ 2 1 14660 } \\ 3\text{ 1 0 5180} \\ 1\text{ -2 0 140 }\approx \\ 4\text{ 2 1 14660 } \\ 3\text{ 1 0 5180} \\ 7\text{ 0 0 }10500 \\ \end{gathered}[/tex]I want to know the correct equation by the synthetic division problem
Answers
When using synthetic division the numbers on top represent the coefficients of the polynomial that represents the dividend. The coefficients are arranged in descending order of exponents, therefore, the dividend of the synthetic division shown is:
[tex]x^3+8x^2+14x-8[/tex]In the synthetic division, the number on the left is the root of the divisor, therefore, we have:
[tex]\begin{gathered} x=-4 \\ x+4=0 \end{gathered}[/tex]Therefore, the divisor is "x + 4".
Finally, the numbers at the bottom are the coefficient of the result of the division but we subtract 1 from the exponents of the polynomial. We write each of the coefficients with its corresponding polynomial from left to right and the last number is the remainder of the division, therefore, we have that the result is:
[tex]x^2+4x-2[/tex]Therefore, the correct equation is:
[tex](x^3+8x^2+14x-8)\div(x-4)=x^2+4x-2[/tex]27 A basketball has a diameter of 9.5 cm Which of the expressions shows how to determine the volume of air the basketball can hold? has A. (4.753 B. 1957 C. **44.757 D. 420.59
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Answer:
Option C
Because the radius is 9.5/2 = 4.75
Condense the following expression using exponent properties.p5 k.p10 k:12HTML EdiBI U AA - IITT: 12ptPar
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If two terms have the same base (the letter or number below the exponent), then their multiplication is equal to the number with the same base but with the exponent given by the sum of both exponents. So, in this case we have
[tex]\begin{gathered} r^5k\cdot r^{10^{}}k^{12}=r^{5+10}k^{1+12}=r^{15}k^{13} \\ (\text{if procedure is needed)} \end{gathered}[/tex]So, the condensed expression is
[tex]\begin{gathered} r^{15}k^{13} \\ (\text{ correct answer)} \end{gathered}[/tex]The radius of a circle is 2 miles. What is the circumference?Give the exact answer in simplest form. ____ miles (pi/fraction)
Answers
The formula for the circumference of a circle is :
[tex]C=2\pi r[/tex]Where r is the radius of the circle which is equal to 2 miles
The circumference will be :
[tex]C=2\pi(2)[/tex][tex]C=4\pi[/tex]The answer is 4π miles or 12.56 miles in decimal
6 liters to gallons Round your answer to the nearest tenth. gallons
Answers
Answer:
1.59 gallons
Step-by-step explanation:
Does the equation define y as a function of x ? Y^2=x^2-9x+2
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Given the following question:
[tex]y^2=x^2-9x+2[/tex]Y^2 = x^2 - 9x +2
[tex]\begin{gathered} \sqrt[]{y^2}=^{}\pm x^2-9x+2 \\ \text{Plus or minus already lets you know that they're more than one value for y for ever value of x} \end{gathered}[/tex]Your answer is no, the equation does not define y as a function of x.
A person is selected at random. What is the probability that the person was NOTborn on a Monday? (Remember there are seven days in a week) Express youranswer as a percent. If necessary, round your answer to the nearest tenth of apercent.85.7%20.0%80.0%14.3%
Answers
Let's assume that being born each day has the same probability.
Since there are 7 days in one week, the probability that the person was NOT born on a Monday means that the person was born on any of the other 6 days.
Then
[tex]P(\text{NotMonday)}=\frac{d\text{ays on which the person }could\text{ have been born}}{\text{total number of days in a week }}[/tex]Then,
[tex]\begin{gathered} P(\text{NotMonday)}=\frac{d\text{ays on which the person }could\text{ have been born}}{\text{total number of days in a week }} \\ \downarrow \\ P(\text{NotMonday)}=\frac{6}{7}\cong0.857 \end{gathered}[/tex]We multiply it by 100 in order to transform into a percentage:
0.857 = 0.857 x 100% = 85.7%
Answer: A. 85.7%find the difference and simplify your answer (5t^2 + 2t - 4 ) - (5t^2 - 2t - 3 )
Answers
To find the difference, you can follow the steps above:
1) Evaluate if you can solve the expressions inside the parentheses.
Since there is nothing to solve inside the parentheses, we can move in.
2) Remove the parentheses (do not forget the external signs).
[tex]5t^2+2t-4-5t^2+2t+3[/tex]3) Organize the variables putting the same variables together.
[tex]5t^2-5t^2+2t+2t-4+3[/tex]4) Sum the corresponding variables.
[tex]\begin{gathered} 0+4t+1 \\ 4t+1 \end{gathered}[/tex]So, the answer is:
[tex]4t+1[/tex]
Is it 1/5 or -8 trying to figure this out for the slope
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From the graph it can be observed that line passes through points (0,16) and (2,20).
The formula for the slope of line pasing through points (x_1,y_1) and (x_2,y_2) is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Determine the slope of line passing through points (0,16) and (2,20).
[tex]\begin{gathered} m=\frac{20-16}{2-0} \\ =\frac{4}{2} \\ =2 \end{gathered}[/tex]So slope of line is 2.
In circle C, the inscribed angle DEF measures (4x + 17)" and DF measures (9x + 25)°. What is the value of x? O x=9 x=5 Ox=1.6 x=4
Answers
The sketch of the question is given below
Using the principle:
Then
[tex]9x+25=2\times(4x+17)[/tex]Simplifying the expression
[tex]\begin{gathered} 9x+25=8x+34 \\ \text{collect like terms} \\ 9x-8x=34-25 \\ x=9 \end{gathered}[/tex]The value of
This is the top part which has the information and part A (or the first question)I wasn’t able to fit Part B
Answers
The function f(a) represents the cost of a pizza.
The function g(b) represents the delivery charge on the cost.
PART A.Having said that, a represents the cost of a pizza, b represents the cost of a pizza and sales tax, f(a) represents the cost of a pizza and sales tax, g(b) represents the delivery fee. At last, g(f(a)) represents the cost of the pizza, sales tax, and delivery fee.
PART B.Let's find the composition of functions
[tex]g(f(a))=1.06a+5[/tex]Hence, the answer to part B is the last option.
a jar contains five black buttons and three brown buttons. if 5 buttons are picked at random, what is the probability that all of them are blacka jar contains five black buttons the three Brown buttons If 5 buttons are picked at random what is the probability that all of them are black
Answers
Determine the total number of buttons in the jar.
[tex]\begin{gathered} T=5+3 \\ =8 \end{gathered}[/tex]Determine the probability for the 5 selected buttons are black.
[tex]\begin{gathered} P(x=5)=\frac{^5C_5}{^8C_5} \\ =\frac{1}{56} \end{gathered}[/tex]So answer is 1/56.
What are the solutions to the quadratic equation below? x² -2x -168=0
Answers
Answer:
-12 and 14.
Explanation:
Given the quadratic equation: x² -2x -168=0
First, we factorize the expression on the left-hand side.
[tex]x^2-2x-168=(x\text{ )(x )}[/tex]Next, we multiply the first and last term,
[tex]-168\times x^2=-168x^2[/tex]We then write factors of -168.
[tex]\begin{gathered} -168=12\text{ and -14 } \\ -168=-12\text{ and 14} \\ \text{Add the factors:} \\ \text{12-14=-2} \\ -12+14=2 \end{gathered}[/tex]We pick the factors that add up to the middle term: -2
[tex]\begin{gathered} x^2-2x-168=0 \\ (x+12)(x-14)=0 \\ x+12=0\text{ or }x-14=0 \\ x=-12\text{ or x=14} \end{gathered}[/tex]The solutions to the quadratic equation are -12 and 14.
true or falsethe perimeter of the base is 48 ft.
Answers
Given the figure of a triangular prism
As shown, the base is a square of a side length = 12 ft
The perimeter of the square = 4 times the side length
so, the perimeter of the base = 4 x 12 = 48 ft
So, the answer will be:
True, the perimeter of the base is 48 ft.
Find the value of x in the triangle shown below.73CChoose 1 answer:= 21* = 582 = 10C=58
Answers
SOLUTION
The question provides us with a right-angled triangle and we know the adjacent to be 3 and the oppoisite to be 7.
With this set of values, it is clear that the best way to solve this question is using PYTHAGORAS THEOREM
The Pythagoras theorem is shown below:
Given the below right-triangle
The Pythagoras theorem is given as
[tex]\begin{gathered} A^2+B^2=C^2 \\ \text{where,} \\ C=\text{longest side} \end{gathered}[/tex]Thus, using the Pythagoras theorem described above, we can solve the problem, with the longest side, in this case, being x.
This is done below:
[tex]3^2+7^2=x^2[/tex]Let us solve the above equation by finding the value of x
[tex]\begin{gathered} 3^2+7^2=x^2 \\ 9+49=x^2 \\ 58=x^2 \\ \text{ Find the square root of both sides} \\ \sqrt[]{58}=\sqrt[]{x^2} \\ \sqrt[]{58}=x \\ \\ \therefore x=\sqrt[]{58}\text{ } \\ \\ \text{Thus, the final answer is OPTION B} \end{gathered}[/tex]What is the volume of a cylinder that has a radius of 3 and a height of 10? Use 3.14 for pi.
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The volume of a cylinder is calculated as follows:
[tex]V=\pi\cdot r^2\cdot h[/tex]where r is the radius, and h is the height of the cylinder
Substituting with r = 3 and h = 10, we get:
[tex]\begin{gathered} V=\pi\cdot3^2\cdot10 \\ V=282.6 \end{gathered}[/tex]The population of a small town is decreasing at a rate of 15% eachyear.If the population of the small town is currently 12,000 people, howmany years will it take for the population to reach 1,500 people?
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For this problem, we know the size of a certain population and the rate of decay on its numbers. We need to determine the time it will take for the population to reach 1500 people.
The population can be modeled with the following equation:
[tex]P(t)=12000\cdot(0.85)^t[/tex]Where "t" is the number of years and P is the population. We want to find how long it will take before the population is equal to 1500, so we need to replace P with 1500 and solve for t. We have:
[tex]\begin{gathered} 1500=12000\cdot(0.85)^t\\ \\ 0.85^t=\frac{1500}{12000}\\ \\ 0.85^t=0.125\\ \\ \ln0.85^t=\ln0.125\\ \\ t=\frac{\ln0.125}{\ln0.85}=\frac{-2.07944}{-0.162519}=12.79505 \end{gathered}[/tex]It will take approximately 12.8 years to reach 1500 people.
Ronald used 6 centimeters of tape to wrap 2 presents. How many presents did Ronald wrap ifhe used 12 centimeters of tape? Assume the relationship is directly proportional.presents
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Answer:
4 presents
Explanation:
Let x represent the number of presents Ronald will wrap with 12 centimeters of tape.
To find x, let's set up proportions as shown below;
[tex]\frac{6\operatorname{cm}}{2\text{ presents}}=\frac{12\operatorname{cm}}{x\text{ presents}}[/tex]Let's cross-multiply;
[tex]\begin{gathered} 6\times x=12\times2 \\ 6x=24 \\ x=\frac{24}{6} \\ x=4 \end{gathered}[/tex]order each set of integers from leat to greatest15,17,21,6,3
Answers
we have the set
15,17,21,6,3
so
from least to greatest
3,6,15,17,21because3<6<15<17<21Problem N 2
we have
-55, 143, 18, -79, 44, 101
from least to greatest
-79, -55, 18, 44, 101, 143In a poll, 50 residents in Greenville and Fairfield were asked whether they prefer swimming or jogging for exercise. This table shows the relative frequencies from the survey.The graph is in the pictureBased on the data in the table, which statements are true? Select all that apply.The questions are in a separate picture
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given probabilities
STEP 2: Check if option A is correct
[tex]\begin{gathered} Greenvile\text{ that likes swimming}\Rightarrow0.18 \\ Greenvile\text{ that likes jogging}\Rightarrow0.38 \\ 0.38>0.18 \end{gathered}[/tex]Hence, Most residents of Greenville prefer jogging to swimming
STEP 3: Check if option B is correct
[tex]\begin{gathered} People\text{ who prefer jogging from Greenville}\Rightarrow0.38 \\ People\text{ who prefer jogg}\imaginaryI\text{ng from Fairfield}\operatorname{\Rightarrow}0.20 \\ 0.38>0.20 \\ People\text{ who prefer jogging are more likely from Greenville} \end{gathered}[/tex]Hence, Option B is not true
STEP 4: Check if option C is correct
Since more people from Greenville prefers jogging to swimming and more people people from Fairfield prefers swimming to jogging, therefore "There is an association between the town a person lives in and their exercise preference"
Hence, Option D is wrong.
Answer:
Options A and C are true
austin is paid a salary of $250 weekly. find austins earnings per year
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You deposit $ 3,508 in an account earning 10 % interest compounded monthly. How much will you have in the account in 4 years?
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The amount of money A in an account with an interest rate r compounded 12 times a year, after t years and if a principal P is invested, is given by the formula:
[tex]A=P(1+\frac{r}{12})^{12\times t}[/tex]Replace P=3,508, r=10/100 and t=4 to find the amount of money that the account will be worth after 4 years:
[tex]A=3508(1+\frac{0.1}{12})^{12\times4}=3508(1.489354099\ldots)=5224.654178\ldots[/tex]Therefore, to the nearest cent, the amount of money in the account after 4 years will be:
[tex]5224.65[/tex]hey I need help with the question what is 88,000÷66,000
Answers
Since 88,000 and 66,000 are both divisible by 1000 and:
[tex]\begin{gathered} \frac{88,000}{1,000}=88 \\ \frac{66,000}{1,000}=66 \end{gathered}[/tex]We can just divide 88 by 66 and get the same quotient. Therefore:
[tex]\frac{88,000}{66,000}=\frac{88}{66}=\frac{4}{3}=1.3333[/tex]So, the answer is 4/3 or 1.3333
the graph show the amount of money Sheila has in her saving account as she adds money to it each week
Answers
Given data:
The given graph of the function.
In the given graph the dependent variable is the amount in saving.
Thus, the correct option is (C).
A gardener has seven identical-looking tulip
bulbs, of which each will produce a different
color tulip. Four of the colors are unknown,
however one will become white, one will
become yellow, and one will become pink. He
plants them abitrarily in a row. When the
flowers start to bloom, what is the probability
that the yellow one is first in the row, the white
one is second, and the pink one is at the end of
the row?
Answers
Solution
Step-by-step explanation:
Given
There are 7 bulbs out of which 1 is Yellow and 1 is Pink and 1 is white
If a gardener randomly select 6 bulbs
Then the Probability of selecting yellow = 1/7
probability of selecting white = 1/7
and the probability of selecting pink = 1
[tex]\text{probability = }\frac{1}{7}\times\frac{1}{6}\times1=\frac{1}{42}=0.0238[/tex]Therefore the correct answer is 0.0238
A group of teachers discussed their hobbies. The table lists the teachers' hobbies according to the subjects theyteach.Can a teacher's hobby be represented as a function of the subject that teacher teaches?SubjectHobbyWive surfingEnglishHistoryPlay cardsMathRock climbingGymPlay chessMathRock climbingSpanishReading booksEnglishWave surfingPhysicsWind surfingIts 8th grade math. Please help me, whoever gets it rights gets Brainliest 30 points
Answers
The table represents the relationship between favorite activities of teachers on different subject classes.
We know that for a relationship to be a function, a particular element on the Domain (in our case the subject the teachers teach) must associate with one and only one element in the Range (in our case the favorite activity). So we are particularly interested in finding if the repeated subjects relate with the same of different hobbies.
we cannot accept an element in the domain connecting with more than one element in the Range.
We notice that there are only two subjects repeated : English and Math.
and the great thing is that both English are connected to the same activity: "Wave surfing", so for this the relationship is still a true function. For the Math subject we are also lucky that the math teachers seem to prefer "Rock climbing". So the relationship IS a Function.
We are not somuch concerned with the other (non-repeated) subjects, since there is only one appearance of them in the relatonship.
so the function we define as the following pairs:
(Math, rock climbing); (English, Wave surfing), (History, Play cards), (Gym, Play cards), (spanish, Reading Books), (Physics, Wind surfing)
We gave the function in pair form.
Select the correct answer.Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtimebouquets.P=-582 + 4506 - 1,000Which statement is true if Sarah needs to make a profit of at least $9,000?
Answers
SOLUTION
[tex]9000\ge-5b^2+450b-1000[/tex]SOLVING THE INEQUALITY
[tex]\begin{gathered} -5b^2+450b-1000\le \:9000 \\ -b^2+90b-2000\le \:0 \end{gathered}[/tex][tex]-\left(b-40\right)\left(b-50\right)\le \:0[/tex][tex]\left(-\left(b-40\right)\left(b-50\right)\right)\left(-1\right)\ge \:0\cdot \left(-1\right)[/tex][tex]\left(b-40\right)\left(b-50\right)\ge \:0[/tex][tex]b\le \:40\quad \mathrm{or}\quad \:b\ge \:50[/tex]PLSS HELPBy combining the increase and decrease, find an exponential expression for the total change in organism A’s population after 8 days. Show your work.
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The total change in organism A’s population after 8 days would be 4 or 2 to the second power. divided the total by two three times to get this answer.