Chase has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $328.37.
He buys 3 bicycle reflectors for $12.99 each and a pair of bike gloves for $26.62.
He plans to spend some or all of the money he has left to buy new biking outfits for $45.63 each.
Which inequality can be used to determine
o
o, the maximum number of outfits Chase can purchase while staying within his budget?
The inequality is used to find, maximum number of outfits which can be purchased while staying within budget is x ≤ 6.
We denote maximum number of biking outfits Chase can purchase as "x",
So, The amount he has left after buying the bicycle, reflectors, and bike gloves is : Remaining amount = Initial amount - (Bicycle cost + Reflectors cost + Gloves cost),
Substituting the values,
We get,
Remaining amount = $640 - ($328.37 + 3 × $12.99 + $26.62),
Now, Chase plans to spend some or all of remaining money on biking outfits, each costing $45.63. The total cost of outfits is "price per outfit" multiplied by "number of outfits", which is "x",
Outfits cost = (Outfits price per unit) × (Number of outfits),
Outfits cost = $45.63 × x,
To stay within his budget, the remaining amount should be greater than or equal to the outfits cost:
Remaining amount ≥ Outfits cost
$640 - ($328.37 + 3 × $12.99 + $26.62) ≥ $45.63 × x,
Simplify the equation,
We get,
$282.02 ≥ $45.63 × x,
x ≤ $282.02 / $45.63,
x ≤ 6.18,
Since, we can't purchase fraction of an outfit, the maximum number of outfits Chase can purchase is 6,
Therefore, the inequality that can be used is : x ≤ 6.
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My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
\(= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10\)
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
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Simplify the expression below.
−3+6g+11g−10
Answer:
7g-13
Step-by-step explanation:
Answer:
-13 +17g
Step-by-step explanation:
−3 + 6g + 11g −10
-13 + 6g + 11g
-13 + 17g
If I have 288 students and I have 48 bags of Twix Bars and 72 bags of Kit Kat’s how many more bags do I need to give everyone a candy bag?
Answer:
168 more bags
Step-by-step explanation:
Step 1: 48+72= 120
Step 2: 288-120= 168
so you need 168 more bags.
a student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:15am. suppose the actual ending time of the 9am class is normally distributed random variable (x1) with a mean of 9:02 and a standard deviation of 2.5 minutes and that the starting time of the next class is also a normally distributed random variable (x2) with a mean of 9:15 and a standard deviation of 3 minutes. suppose also that the time necessary to get from one class to another is also a normally distributed random variable (x3) with a mean of 10 minutes and a standard deviation of 2.5 minutes. what is the probability that the student makes it to the second class before the second lecture starts? (hint: assume x1, x2 and x3 are independent also think linear combinations)
The probability that the student makes it to the second class before it starts is very close to 0.
To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.
Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.
The mean of X is the sum of the means of X1, X2, and X3:
μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.
The variance of X is the sum of the variances of X1, X2, and X3:
σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.
Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.
Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.
Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.
Therefore, the probability that the student makes it to the second class before it starts is very close to 0.
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The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept and the point (6, 80) from the line on the scatter plot. What is the equation of the trend line? Drag numbers to complete the equation. Numbers may be used once, more than once, or not at all.
Answer:
y= 3x+62
Step-by-step explanation:
Solve the inequality if possible 4(3-2x)>2(6-4x)
Answer:
there is no value for x
Step-by-step explanation:
\(4(3-2x)>2(6-4x)\\\\12-8x>12-8x\)
and we have to equal things and one is bigger than the other
so that means that
y > y
contradiction
Final Answer: No Solution
Steps/Reasons/Explanation:
Question: \(4(3- 2x) > 2(6- 4x)\)
Step 1: Divide both sides by \(2\).
\(2(3 - 2x) > 6 - 4x\)
Step 2: Expand.
\(6 - 4x > 6 - 4x\)
Step 3: Since \(6 - 4x > 6 - 4x\) is false, we have no solution.
No Solution
~I hope I helped you :)~
Refer to data set 25 "fast food" and use the drive through service times for Burger King lunches. Begin with a lower class limit of 70 seconds and use a class width of 40
The data set 25 "fast food" represents drive-through service times for Burger King lunches, with a lower class limit of 70 seconds and a class width of 40.
The data can be organized into frequency tables to visualize the distribution of service times. To create the first class, we group all service times from 70 to 109 seconds
(70 + 40 - 1 = 109).
Then, we continue creating classes by adding 40 to the upper limit of the previous class and repeat the process until all data points have been assigned to a class.
The frequency table shows how many times a service time falls within each class interval, allowing us to see the distribution and make inferences about the typical service times at Burger King.
Further analysis such as calculating the mean and standard deviation can also be performed to better understand the data.
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The question is -
Refer to data set 25 "fast food" and use the drive-through service times for Burger King lunches. Begin with a lower class limit of 70 seconds and use a class width of 40.
Data set - 5 0 1 0 2 0 5 0 5 0 3 8 5 0 5 0 5 6 0 0 0 0 0 0 8 5 5 0 4 5 0 0 4 0 0 0 0 0 8 0 9 5 3 0 5 0 0 0 5 8.
How do you solve 7/9(-3^3)+5
\(\cfrac{7}{9}(-3^3)+5\implies \cfrac{7}{9}(-1\cdot 3^3)+5\implies \cfrac{7}{9}(-1\cdot 27)+5\implies \cfrac{7}{9}(-27)+5 \\\\\\ \cfrac{7(-27)}{9}+5\implies \cfrac{-189}{9}+5\implies -21+5\implies -16\)
Answer:
-16
Step-by-step explanation:
7/9(-3^3) + 5
7/9(-27) + 5
7/9 x -27 = -21
-21 + 5 = -16
(Hope this helps :) )
Which ordered pair represents the solution to the system of equations?
2x-7y=0
x-6y=-5
A) (7,2)
B) (2,7)
C) (1,1)
D) (-11,-1)
Answer:
A (7,2)
Solution is in the photo :)
pls help i really need it asapppp
Answer:
Blank 1 = -1
Blank 2 = 2
Blank 3 = 4
Blank 4 = 7
Blank 5 = 79
Step-by-step explanation:
Blank 1 has an input of 1 we have to square 1
1 squared = 1
Then we subtract 2
1 - 2 = -1
Blank 2 has an input of 2 we have to square 2
2 squared = 4
Then subtract 2
4 - 2 = 2
Blank 3 has an output so we have to do the opposite of what we would for an input
Blank 3 has an output of 14 so we add 2
14 + 2 = 16
then we have to do the square root
The Square root of 16 = 4
So the input was 4
Blank 4 has an output of 47
47 + 2 = 49
The square root of 49 = 7
So the input was 7
Blank 5 has an input of 9
9 squared = 81
81 - 2 = 79
So the output is 79
Find the value of a.
A. 16
B. 38.5
C. 15
D. 10
Answer:
Step-by-step explanation:
divide 60/31 55/46 the answer you multiply
5-7y=33 I can't find the answer to it and I did worked out on paper...
Answer:
y = -4
Step-by-step explanation:
5 - 7y = 33 {Subtract 4 form both sides}
-7y = 33 -5
-7y = 28 {Divide both sides by (-7)
y = 28/-7
y = -4
Answer:
y=-4
Step-by-step explanation:
-7y=33-5
-7y=28
y=28÷-7
y=-4
What is the decimal that represents 37 1/2%
Answer:
37.5%
Step-by-step explanation:
What type of triangle is this?
We can classify triangles by their angles and their side lengths.
ANGLES:
---Acute = all angles in the triangle are less than 90 degrees
---Right = one angle in the triangle is equal to 90 degrees
---Obtuse = one angle in the triangle is greater than 90 degrees
SIDE LENGTHS:
---Equilateral = all side lengths of the triangle are the same
---Isosceles = two side lengths of the triangle are the same
---Scalene = no side lengths of the triangle are the same
In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.
Answer: right, scalene
Hope this helps!
What is a form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions
A form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions is High-Definition Television (HDTV).
HDTV is a type of television broadcasting that utilizes digital signals, allowing for superior picture and sound quality compared to traditional analog television. It supports wide screens, providing an aspect ratio of 16:9, which is ideal for displaying content in widescreen formats. HDTV also offers high resolutions, typically 720p or 1080i/p, resulting in sharper and more detailed images on compatible high-definition displays. With its digital nature, HDTV brings improved audiovisual experiences to viewers, enhancing their overall television-watching experience.
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sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
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What is the equation in standard form of the line that passes through the point (6,-1) and is parallel to the line represented by 8x+3y=15.
The equation of line that passes through the point (6, -1) & is parallel to the line represented by 8x + 3y = 15, in standard form is: 8x + 3y = 45.
Equation of a line in standard form is:
Ax + By = C
where A, B & C are constants.
As the required line is parallel to the given line, that is 8x + 3y = 15, the slope of the required line will be same as that of the given line.
Slope intercept form of a line is:
y = mx + b
where, m is slope of the line, b is a constant.
Re-writing the equation of the given line in slope-intercept form:
⇒ 3y = -8x + 15
⇒ y = (-8/3)x + 5
⇒ slope = m = -8/3
Now as the required line is parallel to the given line, hence its slope-intercept form will be
y = (-8/3)x + b
As the line passes through the point (6, -1),
⇒ -1 = (-8/3)×6 + b
⇒ b = 15
Hence, the slope-intercept form of the required line is
y = (-8/3)x + 15
Re-writing it in standard form, the equation comes out to be
8x + 3y = 45
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What is the derivative of inverse csc?
The square root of the modulus of and the negative reciprocal of the product of the subtraction of one from squared make up the derivative of the inverse cosecant function with respect to.
Does sine have the same inverse as cosecant?Sine is equal to cosecant reciprocally. The cosine's opposite, the secant, is the reciprocal.The tangent to the graph of the inverse secant function's derivative of arcsec provides the slope. By using the formula d(arcsec)/dx = 1/[|x| (x2 - 1)], one may calculate the derivative of sec inverse x. A second way to represent this derivative is as d(sec-1x)/dx.The square root of the modulus of and the negative reciprocal of the product of the subtraction of one from squared make up the derivative of the inverse cosecant function with respect to.To learn more about inverse cosecant refer to:
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What is the magnitude of Hunter the dog's centripetal acceleration when he runs along a circular path of radius 2.0 meters with a tangential
speed of 2.2 meters/second?
Answer:
2.0
Step-by-step explanation:
r=2d and
r=2*2m
r=4m
t=s/v
t= 4m/2.2m/s
t= 2.os
Answer:
2.4 m/s
Step-by-step explanation:
got 100% on edmentum
Hi Guys...Can Anyone Please Help With Answers and Reasons?
Answer:
1. a = 64°, b = 296°, c = 148°
2. a = 90°, b = 32°, c = 58°, d = 58°, e = 29°, f = 29°, g = 29°, h = 29°, i = 122°, j = 122°
3. a = 35°, b = 35°, c = 70°, d = 35°, e = 35°, f = 110°, g = 22°
4. a = 27°, b = 63°, c = 27°, d = 54°, e = 90°, f = 36°, g = 63°
5. t = 40°, u = 40°, v = 80°, w = 21°, x = 42°, y = 19°, z = 19°
Step-by-step explanation:
On the same arc angle subtended at center is twice the angle subtended at circumference
same arc, same angle on any point on the circumference
1.
a = 2 * 32° = 64°
b = 360° - a = 360° - 64° = 296°
c = b/2 = 296°/2 = 148°
a = 64°, b = 296°, c = 148°
2.
a = 180 - 90 = 90°
triangle OMT and triangle ONT are congruent
b = 32°
c = 90 - 32 = 58°
d = c = 58°
f = c /2 = 58/2 = 29°
exterior angle, c = h + f
h = c - f = 58 - 29 = 29°
j = 180 - c = 180 - 58 = 122°
similarly, e = g = 29°, i = 122°
a = 90°, b = 32°, c = 58°, d = 58°, e = 29°, f = 29°, g = 29°, h = 29°, i = 122°, j = 122°
3.
a = 70/2 = 35°
As TR = VT, b = a = 35°
arc VTR, c = a + b = 35° + 35° = 70°
arc VT, d = a = 35°
TR = VT, e = d = 35°
cyclic quadrilateral, f + a + b = 180, f = 180 - a - b = 180 - 35 - 35 = 110°
arc PQ, g = angle PRQ = 22°
a = 35°, b = 35°, c = 70°, d = 35°, e = 35°, f = 110°, g = 22°
4.
arc PQ, a = 27°
b = 90 - 27 = 63°
MP is diameter, b + c = 90°, c = 90 - b = 90 - 63 = 27°
g = 90 - c = 90 - 27 = 63°
e = 180 - 90 = 90°
angle NPR = 90 - 27 = 63°
ON + OP, a + f = angle NPR = 63°, f = 63 - a = 63 - 27 = 36°
d = 90 - f = 90 - 36 = 54°
a = 27°, b = 63°, c = 27°, d = 54°, e = 90°, f = 36°, g = 63°
5.
arc BC, t = u = 40°
arc AB, w = 21°
arc BC, v = 2u = 2 * 40 = 80°
arc AB, x = 2 * 21 = 42°
OA = OC, y = z = ( 180 - x - v )/2 = ( 160 - 42 - 80 )/2 = 19°
t = 40°, u = 40°, v = 80°, w = 21°, x = 42°, y = 19°, z = 19°
i need helpppp plzzz!!!!
Answer:
23°
Step-by-step explanation:
Need to find the answer to this equation. -10×+6=-74
Answer:
fe4trhegweggwerg4twerewerth54h4hyrht5th53h
Step-by-step explanation:
HELP ASAP !!!!
Write and graph linear equations
Answer:
first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1
Step-by-step explanation:
Please help my teacher will kill me
HW8.10.Finding the Characteristic Polynomial and Eigenvalues Consider the matrix 0.00 0.00 0.007 A= 0.00 0.00 0.00 L0.00 0.00 0.00 Compute the characteristic polynomial and the eigenvalues of A. The characteristic polynomial of A is p(A)= num 3+ num 2+ num ? x+ num Therefore, the eigenvalues of A are: (arrange the eigenvalues so that X1 < X2 < X3 X1 num num X3 num Save &Grade2attempts left Save only Additional attempts available with new variants e
The remaining eigenvalue is λ = -0.007. Thus, the eigenvalues of A are:
X1 = 0
X2 = 0
X3 = -0.007
Arranging them in ascending order, we get:
X1 = -0.007
X2 = 0
X3 = 0
To find the characteristic polynomial of A, we first need to compute the determinant of (A - λI), where I is the identity matrix and λ is a scalar variable:
|0-λ 0.00 0.007|
|0.00 0-λ 0.00 |
|0.00 0.00 0-λ |
Expanding along the first row, we get:
(0-λ) |0-λ 0.00| - 0.00 |0.00 0-λ | + 0.007 |0.0 0.00|
|0.00 0-λ | |0.0 0.00| |0.00 0-λ |
Simplifying, we obtain:
-λ³ + (-0.007)λ² = 0
Factoring out λ², we get:
λ²(-λ - 0.007) = 0
Therefore, the characteristic polynomial of A is:
p(A) = λ³ + 0.007λ²
To find the eigenvalues of A, we need to solve the equation p(A) = 0. We can see that one of the roots is λ = 0, which has multiplicity 2 (since it appears as a factor of λ² in the characteristic polynomial). To find the third eigenvalue, we need to solve:
λ³ + 0.007λ² = 0
Factoring out λ² again, we obtain:
λ²(λ + 0.007) = 0
Therefore, the remaining eigenvalue is λ = -0.007. Thus, the eigenvalues of A are:
X1 = 0
X2 = 0
X3 = -0.007
Arranging them in ascending order, we get:
X1 = -0.007
X2 = 0
X3 = 0
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What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
The decimal division of 18.92 by 11 gives us; 1.72
How to divide decimal numbers?When dividing decimals, we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.
We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;
18.92/11 = 1892/1100
= 1 + (1892 - 1100)/1100
= 1 + (792/1100)
= 1 + 0.72
= 1.72
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
Evaluate 7j+5−8k j=0.5 k=0.25,
Answer:
Evaluate 7j+5-8k when j=0.5 and k=0.25 Get the answers you need, now!
2 answers
Step-by-step explanation:
Answer:
6.5
Step-by-step explanation:
(7*0.5)+(5)-(8*0.25)
PEMDAS
Multiply 7 and 0.5= 3.5
Multiply 8 and 0.25= 2
3.5+5-2
Add 3.5 and 5= 8.5
Subtract 8.5 and 2= 6.5
Carl has a piece of string that is 14 inches long. What is the length of the string in centimeters? Show your work.