Given,
Total no. of bushels = 240
On average, no. of bushels sold by the farmer each day = [tex]15\frac{3}{5}[/tex] =[tex]\frac{78}{5}[/tex]
Therefore,
total no. of bushels sold by the farmer at the end of 6th day
= [tex]15\frac{3}{5}[/tex] x 6 = [tex]\frac{78}{5}[/tex] x 6 = 78 x 1.2 = 93.6
So, no. of bushels left = 240 - 93.6 = 146.4
Hence, the change in bushels is of 93.6 after 6 days of sale.
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Which equation represents the line that passes through
the points (2, 0) and (0, 7)?
Answer: [tex]y=-\frac{7}{2}x+7[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{7-0}{0-2}=-\frac{7}{2}[/tex].
So, since the y-intercept is 7, the equation is [tex]y=-\frac{7}{2}x+7[/tex].
75 + 25x = 300 ......................................................................................
The answer is : X = 9
Answer:
9
Step-by-step explanation:
75 + 25x = 300
subtract 75 from both sides:
75 + 25x - 75 = 300 - 75
25x = 225
divide both sides by 25:
25x/25 = 225/25
x = 9
Justin earns $13.9 per hour at the Rite Aid Pharmacy. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 50 hours. What was his gross pay for the week?
Based on the amount earned by Justin per hour, and the overtime work rate, Justin's gross pay for the week is $764.50
How to find the gross pay?First, find the amount that Justin earns from Rite Aid Pharmacy for his regular work:
= Number of hours in regular week x Pay per week
= 40 x 13.9
= $556
The overtime hours was:
= 50 - 40
= 10 hours
The overtime pay is:
= 10 x 13.9 x 1.5
= $208.50
The total gross pay for the week is:
= 556 + 208.50
= $764.50
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Name the property that the
statement illustrates: If B = D,
then D = B.
Answer:
Property of Equality
Step-by-step explanation:
B=D and D=B so they are the same value so its a property of equality
Algebraic Expression
a is 7 times less than b.
[tex]7a = b[/tex]
THIS SIMPLY MEANS THAT TO ATTAIN b we have to multiply a by 7.
Wile-E-Coyote falls from the top of an 45m cliff while chasing the road runner. How long does it take him to strike the ground below?
Time is considered to be the dimension on which any system evolves.
9.2 seconds will take for him to strike the ground.
How long does it take Wile to strike the ground?Time can be thought of as the dimension in which the evolution of every system occurs.
It can be calculated using the following units: seconds, minutes, hours, days, weeks, months, and years.
Given,
h = 45m
g = -9.8m/s
Solution:
Vi = 0
h = Vi t + 1/2gt^2
Since Vi is 0
2h = gt^2
t^2 = 2h/g
t = [tex]\sqrt{2h/g}[/tex]
[tex]t =\sqrt{2 * -45/-9.8}[/tex]
t = 9.183s
9.2 seconds will take for him to strike the ground.
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In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
The probability that it is a female with long hair is 0.75 .
Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.
the likelihood of an occurrence, E is
P(E) = The proportion of positive outcomes to all outcomes.
In probability, an event is said to be independent if it is completely unaffected by the occurrence of any other event, and it is considered to be dependent if it is affected by other occurrences.
Using the literature and formulas mentioned above, we have:
Let F stand for the circumstance that the student is a female and L for the circumstance that the student has long hair.
In this illustration, the probability are as follows:
P(F) = 0.60; P(L) = 0.50
P(F AND L) = 0.45 and P(L|F) = 0.75 as a result.
As a result, there is a 0.75 percent chance that a randomly chosen student has long hair.
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What is the quotient of (x³ - 3x² + 5x − 3)÷(x - 1)? x² - 2x - 3
x² + 2x + 7
x² - 3x + 8
x² - 2x + 3
Question
What numbers are a distance of 23 unit from 12 on a number lineQuestion
What numbers are a distance of 23 unit from 12 on a number line
The number which is at a distance of 23 unit from 12 on a number line is 11.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to determine the difference between two numbers such as 23 and 12. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
Now, we can determine the distance as follows:
Distance = 23 - 12
Distance = 11.
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Question content area top
Part 1
Write the absolute value function as a piecewise-defined function with linear parts.
f(x)=4x+5
The absolute function f(x) = 4x+5 as a piecewise-defined function is:
f(x) = { -4x-5 , x<-5/4
4x+5 , x ≥-5/4 }
Given, the absolute function f(x) = 4x+5
The fundamental tenet of piecewise linear regression is that we should construct the regression function in "pieces" if the data exhibit various linear trends over various parts of the data. The components may or may not be joined.
when 4x+5 < 0
4x < -5
x < -5/4
f(x) = -(4x+5) = -4x-5
when 4x+5 ≥ 0
4x ≥ -5
x ≥ -5/4
f(x) = 4x+5
so f(x) = { -4x-5 , x<-5/4
4x+5 , x ≥-5/4 }
since, I x I = { -x , x<0
x , x ≥0}
Therefore, we get the required piecewise-defined function with linear parts.
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identify the point that does not appear to fit in the pattern
Answer:
add a picture
Step-by-step explanation:
show which of the following polygons are similar, write the similar polygons in order of their corresponding vertices and determine the scale factor of similarity
Answer:
see explanation
Step-by-step explanation:
starting with the polygon on the left at vertex Z ( marked with x ) and going clockwise.
Similarly polygon on right starting with vertex D ( marked with x ) and going clockwise.
ZLXY ≅ DABC
the scale factor of ZLXY → DABC
is the ratio of corresponding sides
scale factor = [tex]\frac{DA}{ZL}[/tex] = [tex]\frac{9}{7.2}[/tex] = [tex]\frac{5}{4}[/tex]
Rachel is making premade 3-inch by 5-inch tile rectangles for her driveway. If it takes her 6 minutes to position each rectangle, how many hours will it take her to create a 2-foot by 4-foot pattern drive? Write your answer as a decimal.
Answer:
Tile a rectangle with unit squares. It is 8 unit squares long and 7 unit squares wide. Each unit square represents one square inch.
Step-by-step explanation:
The time taken to create a 2-foot by 4-foot pattern drive is 38.4 minutes.
What is a unit rate?A unit rate means a rate for one of something.
It is written as a ratio with a denominator of one.
We have,
A rectangle tile area = 3-inch by 5-inch
Area = 15 inches
Time taken to position 15 inches tile = 6 minutes.
We can write as,
15 inches = 6 minutes _____(1)
We have a 2-foot by 4-foot pattern drive.
Area = 8 feet
We know that,
1 foot = 12 inches
Multiply both sides by 8.
8 feet = 8 x 12 inches
8 feet = 96 inches _______(2)
Now,
From (1) and (2) we get,
15 inches = 6 minutes
Multiply 96/15 on both sides we get,
96/15 x 15 inches = 96/15 x 6 minutes
96 inches = 38.4 minutes
Thus the time taken to create a 2-foot by 4-foot pattern drive is 38.4 minutes.
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c(x) = 0.08x + 9.75
please answer
Step-by-step explanation:
I hope this will be helpful for you.
how might you use the word average in a situation that does not involve math?
Answer:The mean is commonly referred to as average, but it is not the only kind of average. The mean is often used in research, academics and in sports.
Step-by-step explanation:
There are diffrerent ways to use the word
The average in general is the same as the term average in mathematics.
What is the arithmetic mean or average?Arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.
The meaning of average, in general, is quite similar to average in maths.
Suppose If we say the average income of a population is five thousand.
This implies that some portion of the population earns more than five thousand and some portion of the population earns below five thousand.
We can also say that the average rate growth of height of a person per year is 5cm this also means that some years the growth is more than 5cm and some years it is less than 5 cm.
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A shipping box has a volume of [tex]5x^{5} -1[/tex]. Its height can be represented by [tex]5x+5[/tex]. What is the area of the box on the floor?
A. [tex]x^{4} +x^{3}+ x^{2} +x+1-\frac{4}{5x+5}[/tex]
B. [tex]-x^{4} +x^{3}- x^{2} +x-1+\frac{6}{5x+5}[/tex]
C. [tex]x^{4} -x^{3}- x^{2} -x-1-\frac{4}{5x+5}[/tex]
D. [tex]x^{4} -x^{3}+ x^{2} -x+1-\frac{6}{5x+5}[/tex]
Answer:
D. [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]
Step-by-step explanation:
Volume of a rectangular box = Base Area x Height
V = Ah
Here we are give V and h and asked to compute A
From the equation for V, dividing both sides by h gives
V/h = A
A = V/h
V = 5x⁵ - 1
h = 5x + 5
[tex]V = \dfrac{5x^5-1}{5x + 5}[/tex]
The simplified result is [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]
I solved this using synthetic division and can provide the steps if you want
solve the following equation 2x=12
a new test has been developed to determine whether a given student is overstressed. this test is 95% accurate if the student is not overstressed, but only 85% accurate if the student is in fact overstressed. it is known that 99.5%
0.030844 is the probability that the test results are correct, and that this student is not overstressed.
What is a probability math example?
Probability is the measurement of how likely something is to happen. As an example, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head. We write P(heads) = 12 here. The four most popular approaches to probability are axiomatic, classical, empirical, and subjective.Given that a particular students test negative for stress negative for stress then probability that the test result are correct and this student is not over stressed.
= 0.5% × 95% / ( 99.5% × 15% ) + ( 0.5% × 95% )
= 0.030844
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The complete question is -
A new test has been developed to determine whether a given student is overstressed. This test is 95% accurate if the student is not overstressed, but only 85% accurate if the student is in fact overstressed. It is known that 99.5% of all students are overstressed. Given that a particular student tests negative for stress, what is the probability that the test results are correct, and that this student is not overstressed?
Evaluate:
Eight to the second power.
Answer:
[tex] = 8^{2} \\ = 8 \times 8 \\ = 64[/tex]
ATTACHED IS THE SOLUTION
Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.
Answer:
4.25c + 3.5p = 36.50
c + 6 = p
c = candies and p = pretzels
Step-by-step explanation:
So for the first equation, the prices will be the coefficients of each variable, since for each candy/pretzel it will be that price. We also know that both of these prices together equal 36.50, so that will be on the other side of the equal sign. So the equation representing this info is 4.25c + 3.5p = 36.50
And for the second equation I saw that Mason bought 6 more pretzels than candies. So no matter what number the candies is, the pretzels should always be 6 more than the candies. So the equation representing this information is c + 6 = p
Lastly I just defined the variables that I used to right the system. That is all! Hope this helps you this should be correct :)
Need answer now!! Pls help! Will give brainliest to the best/correct answer! 40 points
A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?
A. The line represents a direct variation because -4/3 = 4/3.
B. The line represents a direct variation because it is horizontal.
C. The line does not represent a direct variation because it does not go through the origin.
D. The lines does not represent a direct variation because -4 (3) ≠ 4 (3).
Answer:
Answer: The line does not represent a direct variation because it does not go through the origin.
Write the equation of the line that passes through the given points.
(0, -1) and ( - 13, -4)
We typically write linear equations in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
Line passes through (0, -1) and ( -13, -4)1) Determine the slope (m)
To find the slope, we can use the slope equation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points through which the line passes
⇒ Plug in the given points:
[tex]m=\dfrac{-1-(-4)}{0-(-13)}\\\\m=\dfrac{-1+4}{0+13}\\\\m=\dfrac{3}{13}[/tex]
Therefore, the slope of the line is [tex]\dfrac{3}{13}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\dfrac{3}{13}x+b[/tex]
1) Determine the y-intercept (b)
In this case, the y-intercept is already given to us.
The y-intercept is the value of y when x=0. Given that the line passes through (0,-1), we know that this is -1.
Plug this into [tex]y=\dfrac{3}{13}x+b[/tex]:
[tex]y=\dfrac{3}{13}x+(-1)\\\\y=\dfrac{3}{13}x-1[/tex]
Answer[tex]y=\dfrac{3}{13}x-1[/tex]
please help me answer this thanks!
The weight of a person in Venus who weighs 210 pounds on Earth is 185.5 pounds.
It is given in the question that weight of a person on Venus varies directly with his or her weight on Earth. Also, a person weighing 120 pounds on Earth weighs 106 pounds on Venus.
We have to find the weight of the person in Venus who weighs 210 pounds on Earth.
Let weight on Earth be e and,
weight on Venus be v.
From the data given in the question, we can write,
e ∝ v
e = kv
Where k is the constant of proportionality
120 = k*106
k = 120/106 = 60/53
Hence, we can write,
210 = (60/53)*v
(210*53)/60 = v
v = 185.5 pounds
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Figure W is the result of a transformation on Figure V. Which transformation would accomplish this?
Answer:
each point needs to be transformed using (-y,x) for the new coordinate
Needing some help, been working on this for a while now.
Answer:
x = 15
z = 64
Step-by-step explanation:
Lets make an equation -
(14x - 94) + z = 8x - 4 +z
Both sides are parallel to each other, and therefore the sum is also 180.
Then we solve it -
14x - 8x - 94 + z = -4 + z
Bring the z on the other side to eliminate it.
6x - 94 = - 4
Add 94 on both sides
6x = 90
Divide 6 on both sides and you get x = 15
Substitute x into 8x -4 + z = 180
8*15 - 4 + z = 180
120 - 4 + z = 180
116 + z = 180
Subtract 116 on both sides.
z = 64.
HOPE THIS HELPS!!
CAN U PLSSS HELP ME! I have been stuck on this problem for hours! Pls try to see if u can solve it. This is the problem -
Sean and Emily love making origami. Sean can make a paper crane in 6 minutes, and
Emily can make a paper crane in 8 minutes. One day, they decided to make some paper
cranes together. They started making cranes at the same time, and after a while, they
have 112 total paper cranes. How many of those paper cranes did Sean make?
THANKS A LOT!!
Answer:
Step-by-step explanation:
1. To find the value of x, you'll need to set 14x-94 equal to 8x-4. We do this since the two angels are congruent, and congruent angles are equal to each other:
[tex]14x-94=8x-4[/tex]
You'll then solve for x by isolating the x value.
[tex]14x-8x=94-4[/tex]
[tex]6x=90[/tex]
[tex]x=\frac{90}{6}[/tex]
[tex]x=15[/tex]
2. To find z I would plug in the x value to one of the equations, such as 8x-4, in order to find the measure of that angle:
[tex]8(15)-4\\=116[/tex]
We now know that 14x-94 and 8x-4 are equal to 116. To find z you'll add the angle opposite to it, the blank angle since they are congruent. Now you'll add all the angles together and set the equation equal to 360:
[tex]z+z+116+116=360\\2z+232=360\\2z=(360-232)\\2z=128\\\frac{2z}{2} =\frac{128}{2} \\z=64[/tex]
Your final answers are x=15 and z=64, hope this helps!
Tom wants to have friends over for a cookout. He wants to make quarter pound hamburgers for each person. His guest list has 25 people on it. How many pounds of hamburger will he need to buy?
Answer:
6.25
Step-by-step explanation:
a quarter=1/4 which is 0.25; 0.25 for each person is 0.25(25)=6.25
Which of the following best describes the difference in the results for the special products (A+B)^2 and (A-B)^2?
Answer: 4AB
Step-by-step explanation:
[tex](A+B)^2-(A-B)^2=\\((A+B)+(A-B))((A+B)-(A-B))=\\(A+B+A-B)(A+B-A+B)=\\(2A)(2B)=\\4AB[/tex]
-3b (2y3 +5y) - 6y3b
Answer:
-15by
Step-by-step explanation:
distribute
rearrange terms
Select the correct answer.
What is the effect on the graph of f(x)
The au
=
when the function is changed to g(x) = |(x - 1)|?
Function transformation: Function transformation is the process of changing one function into another.
The f(x) graph will be shifted 1 unit down in the vertical direction.
How to do this function sum?Function transformation: Function transformation is the process of changing one function into another.
changing a function's form from one to another
Transformational rule
The function will move 'a' units higher when f(x)->f(x)+a is used.
f(x)-> f(x)-a The action is going to be 'a' units down.
The function will be relocated 'a' units left if f(x)->f(x+a).
The function will be relocated 'a' units right if f(x)->f(x-a).
The fundamental job is [tex]f(x)=\frac{1}{x}[/tex]
F(x)-1 is used in place of f(x).
It indicates that the graph of f(x) will shift down by one unit.
A unit down will be added to the vertical translation of the f(x) graph.
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Maria used a number line to find 12 ÷ 4.
Explain how she can use the number line to model the division.
The way she can use the number line to model the division is; Maria should start at 0 and then make “bounces” of 4 to the right until landing at 12. She will make 3 bounces of 4 because 12 divided by 4 is 3.
How to Model a Number Line?She is using a number line to model division, 12 ÷ 4 = 3
To carry out a division operation using a number line, follow the steps below:
Select the origin (point 0) as the starting pointIdentify the dividend and the divisorUse the divisor as the gap between 0 and subsequent consecutive numbersCount the number of gaps between 0 and the dividendFor the division operation 12 ÷ 4, Maria should:
Make 0 as the starting point on the number lineIdentify the dividend (12) and the divisor(4)Make the gap between 0 and subsequent numbers to be 4(the divisor)Therefore, the points on the number line will be 0, 4, 8, and 12
Count the number of gaps between these points
That is, 0 to 4, 4 to 8, and 8 to 12.
Since there are three gaps between 0 and 12 on the number line, using a gap difference of 4, then 12 ÷ 4 = 3
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