t<5
39 + 5.7t < 67.5
-39
5.7t < 28.5
divide by 5.7
t < 5
Wendy has $50. She wants to buy a book that costs $26.50 and a bag that
costs $19.50. The sales tax in her state is 6%. Does Wendy have enough
money to buy the book and the bag? If so, how much money does she
have left? If not, how much more money does she need?
Answer:
Wendy has enough to buy the bag with $1.24
Step-by-step explanation:
She is buying $46 worth of clothes times 6% sales tax is $2.76.
add and you will find she is paying $48.76
Solve the following system of equations: 5x + y = 9 3x + 2y = 4 A (−2, 5) B (1, 4) C (2, −1) D (4, −4)
Find the indicated probability. The age distribution of students at a community college is given below. Age (years) Number of students (f) 1109​ A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.
Answer:
0.063 is the probability of at least 31 students.
Step-by-step explanation:
Solution:
Given:
The age distribution of students is given below:
Age (years) Number of students
Under 21 414
21 - 25 413
26 - 30 212
31 - 35 50
0ver 35 20
total 1109
A student from community college is selected at random.
The ratio of favorable outcomes numbers of that event is the probability of to the total number of possible outcomes in experiment.
Probability of at least 31 students:
Probability of At least 31 students = 31 or more than 31 students
P( 31 – 35) = n (31 – 35) + n (over 35) / n(T)
= 50 + 20 / 1109
= 70 / 1109
= 0.063
0.063 is the probability of at least 31 students.
The quotient of a number a and a number b
Answer:
a÷b
Step-by-step explanation:
quotient means divide
You commute to school my walking and by riding the bus. The graph represents your commute
A. Describe your commute in words
B. Caculate the slopes of the different parts of the graph
Answer:
A. You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.
B. The slope of the first part (walking) is 0.05
The slope of the second part (waiting) is 0.
The slope of the third part (riding the bus) is 0.5
Step-by-step explanation:
From the graph, you can see that a distance of 0.5 mile was covered in the first 10 minutes of commuting. This means that you walked 0.5 mile for 10 minutes to where you want to wait to board a bus.
Then you spent another 4 minutes in waiting for the bus (14 - 10 = 10), while remaining on the same location. No distance was covered during this time spent, as we can see, the slope is horizontal.
You later got a bus, which travelled, 2 miles (2.5 - 0.5 = 2 miles), from where you boarded the bus to your final destination for a period of 4 minutes (18 - 14 = 4 mins).
In simple terms you can describe your commute as follows:
You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.
B. Slope = rise/run
Therefore:
The slope of the first part (walking) is [tex] \frac{0.5}{10} = 0.05 [/tex].
The slope of the second part (waiting) is 0. (slope of horizontal line is always 0)
The slope of the third part (riding the bus) is [tex] \frac{2}{4} = 0.5 [/tex].
Trenton has already solved 8 math problems in 30 minutes. His math challenge book has 175 problems. He plans to work for 45 minutes per day until he finishes every problem. At this rate, how many days before he finishes all of the problems?
Answer:
It will take him 15 days before all of the math problems finish.
Step-by-step explanation:
8 ÷ 3 = 0.266666667
8 math problem ÷ 30 minutes = math problems per minutes
0.266666667 X 45 = 12
math problems per minute X 45 Minutes = math problems per day
175 ÷ 12 = 14.5833333
math problems per day ÷ math problem = days
Item 8 A container has peppermint gum and spearmint gum. There are 40 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 5 : 2. Find the number of pieces of spearmint gum in the container.
Answer:
16.
Step-by-step explanation:
Divide 40 by 5 (or what times five equals 40), equals 8. 2 (the ratio of spearmint gum) times 8 equals 16. There is 16 pieces of spearmint gum.
Tim needs a new car while he attends college in the United States for the next three years. The car he would like
has an MSRP of $15,000. A local dealer can get him a three-year loan with a 7% interest rate if Tim can make a
$1,500 down payment.
The same dealer offers the same car for lease with a money factor of 0.00271 and a residual value of 75%. The
lease requires an additional fee of $1,250 to cover Tim's security deposit and the acquisition and documentation
fees for the car.
Tim is looking to drive the car home with the smallest monthly payment. Which of the following statements is true?
a.
The monthly payment for the loan is lower.
b. The monthly payment for the lease is lower.
C.The monthly payments for the lease and loan are the same.
d. You cannot compare the monthly payments for leases and loans.
Answer:
The answer you would be looking for is actually A.
Step-by-step explanation:
I just got an 100% on edge
Since Tim is looking at driving the car home with the smallest monthly payment. Which of the following statements is true?
a. The monthly payment for the loan is lower.
Let's understand what leasing is all about.
What Is Leasing?Leasing refers to the act of renting out an asset to someone after a contract outlining the terms has been agreed upon.
As a local dealer will be leasing out the car to Tim, Tim paying an additional $1,250 to cover the security deposit and the acquisition and documentation fees for the car will enable him get the car and go home with the smallest monthly payment.
The monthly payments on a lease are known to be usually lower. They are lower the monthly finance payments you spend on purchasing the same car. So, Tim getting the lease, he is actually paying to drive the car, and not actually to buy it.
Learn more about leasing on https://brainly.com/question/24460932
BS my teacher asked of me
Answer:
[tex]1. \: = d .\\ 2. \: = e.\\ 3. \: = a. \\ 4. \: =c .\\ 5. \: = b.[/tex]
Step-by-step explanation:
[tex]
1. \: ST =PQ = 7 \: m. \\ \\ 2. \: SU = PR = 8 \: m. \\ \\ 3. \: m\angle \: R = 180 - (m \angle \: P + m \angle Q) \\but \:m \angle Q = m \angle T \\ m\angle \: R = 180 - 59 + 75 \: (sum \: of \: angles) \\ m\angle \: R = 46. \\ \\ 4. \: m \angle Q = m \angle T = 75. \\ \\ 5. \: m \angle S =m \angle P = 59.[/tex]
♨Rage♨
Answer:
1. d
2. e
3. a
4. c
5. b
Step-by-step explanation:
Angle ST is equal to 7m, because it is the same length as the bottom of the other triangle.
Angle SU is equal to 8m, as we see on the left side of the first triangle.
m < R is equal to 46, because of the total.
m < Q is equal to 75 because of the measure inside the second triangle.
m < 5 is equal to 59 because of the measure inside the first triangle.
Hope this helps you!
Graph the equation X=3 and y= -8
Answer:
Although I don't graph it myself, you can simply do it yourself. For the graph of x = 3, all you need is a vertical line a x = 3, likewise, for y = -8, all you need to do is draw a horizontal line at y = -8.
Hope this helped!
Answer:
y=8/3x-3 and Y intercept of -3
(3)(−4)(2) multiply
the answers:
−48
−24
24
48
Answer:
-24
Step-by-step explanation:
i think -24 is the answer
Sarah is monitoring the temperature at the weather station. At noon, the temperature reads 6 degrees Fahrenheit. Her final reading of the day reads -16 degrees Fahrenheit. How much did the temperature drop
Answer:
the temperature dropped by 10° F
hope this helps you
❤❤❤❤❤❤❤
itz indian heartAnswer:
dropped by -10 degrees
Step-by-step explanation:
{(4,1) , (3,2), (2,3), (1,4)Give the domain and range or each relation. Is the relation a function?
Answer:
dsf
Step-by-step explanation:
What's 9 – (–2)? I just need help its solving integers and im confused.
Answer:
21
Step-by-step explanation:
9-(-12) = 9+12 = 21 ( product of two minus signs is plus)
Answer:
11
Step-by-step explanation:
Okay so this used to confuse me when I was younger but It's actually pretty simple, just imagine the subtraction sign, the parentheses, and the negative sign in front of the two turns into a plus sign. It's basically addition with more steps so instead of seeing this - ( - you can see this +. I hope this helps.
The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts $50 each week into her savings account. If they both begin with $0, who is saving at the greater rate?
Select the correct choice below and fill in the answer boxes to complete your choice.
A.
Lana saves at a greater rate because her unit rate of $_ per week is greater than Eliana's unit rate of $_ per week.
B.
Eliana saves at a greater rate because her unit rate of $_ per week is greater than Lana's unit rate of $_ per week.
Answer:
A. Lana saves at a greater rate because her unit rate of $50 per week is greater than Eliana's unit rate of $48 per week.
Step-by-step explanation:
Eliana's savings per week = the rate of change of the graph
The rate of change of the graph given = [tex] \frac{y_2 - y_1}{x_2 -x_1} [/tex]
Using the points (0, 0) and (2, 96),
Rate of change = [tex] \frac{96 - 0}{2 - 0} = \frac{96}{2} = 48 [/tex]
This rate of change means, Eliana puts $48 dollars per week into her account.
Since Lana's saving rate per week is $50, therefore:
Lana saves at a greater rate because her unit rate of $50 per week is greater than Eliana's unit rate of $48 per week.
HELP ME PLZ IM SO STRESSED UGH IM CHOOSING BRAINLEST !!!!!!!!!!!!!!!! ONLY IF U GET IT RIGHT
♪LOOK AT THIS GRAPH♪
*A W K W A R D P A U S E*
Please help me
6=m-7/8
Answer:
m=55
Step-by-step explanation:
.....
Answer:
do u want it in decimal or fraction? or exact?
What are the zeros of the polynomial function?
f(x)=x4−2x3−103x2+200x+300
Select each correct answer.
−10
−3
−1
0
3
10
Answer:
x=−10, 10, 3, −1
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x axis. To find the roots (zeros), replace y with 0 and solve for x.
The zeroes of the polynomial is (x+1) (x-3)(x+ 10) (x- 10).
What are zeroes of polynomial?The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (0). The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.
By looking at the places on the graph where the graph line intersects the x-axis, one can determine a polynomial's zeros. The zeros of the polynomial are the x-coordinates of the sites where the graph crosses the x-axis.
Given:
[tex]x^4-2x^3-103x^2+200x+300[/tex]
Now, use root rational theorem
=(x+1) [tex]x^4-2x^3-103x^2+200x+300[/tex]/ (x+1)
Now, dividing
= [tex]x^4-2x^3-103x^2+200x+300[/tex]/ (x+1)
= [tex]x^3-3x^2-100x+300[/tex]
Again,
= (x+1)( [tex]x^3-3x^2-100x+300[/tex])
= (x+1) (x-3)(x+ 10) (x- 10)
Hence, the zeroes of the polynomial is (x+1) (x-3)(x+ 10) (x- 10).
Learn more about zeroes of the polynomial here:
https://brainly.com/question/16979077
#SPJ2
The profits of two different clothing factories can be modeled as shown, where
s
is the number of shirts produced at each factory.
Factory A:
−0.06s2+43s−1600
Factory B:
−0.04x2+32x−1500
a. Write a polynomial that represents the difference in the profits at the two plants.
Note: It should be s instead of x in profit of factory B.
Given:
Consider the profits of two different clothing factories can be modeled as shown, where s is the number of shirts produced at each factory.
Factory A : [tex]-0.06s^2+43s-1600[/tex]
Factory B : [tex]-0.04s^2+32s-1500[/tex]
To find:
The polynomial that represents the difference in the profits at the two plants.
Solution:
Let,
Factory A : [tex]P_1=-0.06s^2+43s-1600[/tex]
Factory B : [tex]P_2=-0.04s^2+32s-1500[/tex]
Difference in the profits at the two plants is
[tex]Difference= P_1-P_2[/tex]
[tex]Difference= -0.06s^2+43s-1600-(-0.04s^2+32s-1500)[/tex]
[tex]Difference= -0.06s^2+43s-1600+0.04s^2-32s+1500[/tex]
[tex]Difference= (-0.06s^2+0.04s^2)+(43s-32s)+(-1600+1500)[/tex]
[tex]Difference= -0.02s^2+11s-100[/tex]
Therefore, the required expression is [tex]-0.02s^2+11s-100[/tex].
y = x +13 solve for x if y =5
Answer:
If you were solving for x, then it would be -8. If you were solving for why it would be 18.
Step-by-step explanation:
According to the 2010 census, 4.0% of U.S. households were multigenerational (containing at least three generations: grandparents, parents, and children). A more recent study found that among 580 U.S. households surveyed, 28 were multigenerational. Does this study provide strong enough evidence to conclude that the percentage of multigenerational households has changed
Answer:
We know that at CI of 90% the new study provide evidence to claim that the porcentage of multigenerational households has not change
Step-by-step explanation:
To use Normal Distribution as an approximation of the binomial distribution
and develop a test of proportion we look at the products:
n*p and n*q in the sample
p = 28/580 p = 0,04827 then q = 0,95173
and n*p = 580*0,04827 = 27,99 > 5
n*q = 580*0,95173 = 552 > 5
Hypothesis Test:
p₀ = 4 % p₀ = 0,04
sample size n = 580
p sample proportion mean p = 0,04
Chossing a confidence Interval CI = 90 % then α = 10% α = 0,1
α/2 = 0,05 and z(score) = 1,64 z (c) = 1,64
The test is a doble tail test since the question is about difference between the study and the past census
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p ≠ p₀
To calculate z(statistics) z(s)
z(s) = ( p - p₀ ) / √ p*q/n
z(s) = ( 0,04827 - 0,04 ) * √580 / √0,04827*0,95173
z(s) = 0,00827*24,08/ √0,04594
z(s) = 0,1991/ 0,2143
z(s) = 0,929
Comparing z(s) and z(c)
z(s) < z(c) ; 0,929 < 1,64
Therefore at CI 90% we accept H₀ since z(s) is in the acceptance region
I need the answer for this :/
HELP!! this is due today by the way.
The median of the values in a data set is g. If 875 were subtracted from each
of the values in the data set, what would be the median of the resulting data?
A. 9-875
B. 875 - 9
O C. g+875
D. 875.g.
Answer:
A
Step-by-step explanation:
If 875 were subtracted from each of the values in the data set the median of the set will be g - 875.
What is the median?The median of the data is the value of the middle observation found after sorting the data in ascending order. In many cases, it is challenging to consider the entire data set as a representation; in these cases, the median is helpful. The median is a simple metric to calculate among statistical summary metrics.
Given The median of the values in a data set is g.
the median is calculated by,
Sort the information either in ascending or descending order.
Second, determine how many total observations there are, or n.
Verify the even/oddness of the number of observations, n.
let we have data set, a₁, a₂, a₃, a₄, a₅
for the set median is a₃,
and if 875 is subtracted from each digit
the set is a₁ - 875, a₂ - 875, a₃ - 875, a₄ - 875, a₅ - 875
the median is a₃ - 875,
similarly, the new median for the given set is g - 875.
Hence the median is g - 875.
Learn more about median;
https://brainly.com/question/28060453
#SPJ2
Please help me answer this question
Answer:
68 degree angle
which 2 fractions are equal to 2
Answer:
Procedure:To find equivalent fractions, multiply the numerator AND denominator by the same nonzero whole number. This procedure is used to solve example 4. You can multiply the numerator and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number
Step-by-step explanation:
Percy has $100 in a savings account. The interest rate is 5% per year and is not compounded. How much will he have in 1 year?
Answer:The compound interest formula is an equation that lets you estimate how much you will earn with your savings account. It's quite complex because it takes into consideration not only the annual interest rate and the number of years but also the number of times the interest is compounded per year.
Step-by-step explanation:
72÷x=3.6÷0.015
Help me! I would give a good review!!! :D
Answer:
x = 0.3
Step-by-step explanation:
3.6 divided by 0.015 = 240
72 divided by 240 = 0.3
72 divided by 0.3 = 240
X = 0.3
Hope this helps!
5. Janell has a box that measures 4 feet by 3 feet. She needs a box similar to this one that measures 2 feet by 1.5 feet. What is the scale factor of the dilation?
Answer:
The dialation would be 1/2
Step-by-step explanation:
I need help real badly. I struggle with math and need help ASAP
Answer:
The answer will bw 440.
Step-by-step explanation:
So what you do is rewrite...
330÷3/4
Then add a 1 at the bottom.
Then you need to divide, but to divide with the fraction you need to get the reciprocal.
330/1 multiply 4/3
And then you will need to simplify and then done.