Multiply by the decimal form of the percentage,
60 * 0.18 = 1.08
So the discount is for $1.08 off,
60 - 1.08 = 58.92
Giving a total of $58.92 after the discount is applied
Question 2 of 6
A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total
charge for renting a truck for a certain number of hours. What is the value of the function for an input
of 4, and what does it represent?
Of(h) 50h + 10
=
$210, which is the total charge in dollars for renting 4 trucks
Of(h) = 50 - 10h
$40, which is the total charge in dollars for renting a truck for 4 hours
f(h) = 50h - 10
$190, which is the total charge in dollars for renting 4 trucks
Of(h) = 50+ 10h;
$90, which is the total charge in dollars for renting a truck for 4 hours. PLEASE HELP
Which logical argument could you use to prove that triangle ABC is congruent to triangle DEF?
A. SSS Postulate
B. HL Theorem
C. SAS Postulate
D. ASA Postulate
find a polynomial f(x) of degree 3 with real coefficients and the following zeros -1, 3-i
The least polynomial that contains the roots - 1 and 3 - i is x³ - 5 · x² + 4 · x + 10.
What is the least polynomial that contains a given set?
In this case we need to find a polynomial that contains a set of roots, a real root and a complex root. In accordace to the quadratic formula, the root 3 - i must be accompanied by its conjugate, that is, 3 + i to guarantee that all coefficients of the polynomial are real.
Then, the factor form of the cubic equation is:
f(x) = (x + 1) · (x - 3 + i) · (x - 3 - i)
f(x) = (x + 1) · [x² - (3 - i) · x - (3 + i) · x + (3 - i) · (3 + i)
f(x) = (x + 1) · (x² - 3 · x + i x - 3 · x - i x + 9 - i²)
f(x) = (x +1) · (x² - 6 · x + 10)
f(x) = x³ - 6 · x² + 10 · x + x² - 6 · x + 10
f(x) = x³ - 5 · x² + 4 · x + 10
The least polynomial is x³ - 5 · x² + 4 · x + 10.
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Pls help will mark brainliest!!
Answer:
59 degrees(triangle on the right)
Step-by-step explanation:
The total degrees of a triangle is 180 so add 76+45=121.
180-121=59
Which integer is the farthest from the origin on a number line? A. -11 O B.-1 Oc. O D. 10
In order to determine the farthest integer related to the origin ona a number line, apply the absolute value of the given numbers, this gives you the distance of the specific number to the origin.
The absolute value of a number, negative or positive, is always equal to the same positive number.
Then,for the given asnwer choices you have:
|-11| = 11 where the bars |-11| expresses absolute
PLEASE SHOW YOUR WORK THIS IS DO IN AN HOUR AND I HAVE TO SUMBIT A PHOTO OF THE WORK AND THE WORK PAGE PLEASE IN NEED OF HELP
Answer:
[tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]10 1/2 as an improper fraction is [tex]\frac{21}{2}[/tex]
the reciprocal of 10 1/2 is [tex]\frac{2}{21}[/tex]
so [tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]
below is an image of the rest of the answers
Please help me on this question need it by today
what is 4 2/3 + 1 3/4?
Answer: 6 5/12
Step-by-step explanation: You could do 3x4 = 12
so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.
Answer:
6 5/12
Step-by-step explanation:
We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4
After reordering, it becomes:
4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4
Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)
5 + 8/12 + 9/12
5 + 17/12
Simplifying the improper fraction gives us:
5 + 1 + 5/12
And the final answer is:
6 + 5/12
6 5/12
Hope this helped!
what is the angle between west and north west
Answer:
the angle between west and Northwest is 90°
has being supplementry angles
hope it helps
Answer:
45°
Step-by-step explanation:
the angle between north and west is 90°
northwest is situated centrally between north and west at an angle of 45°
A $350,000 house is assessed at % of its value. If the yearly tax rate is $3.25 per hundred of assessed value, what is the yearly tax on this property?
F. $2,275
G. $1,600
H. $5,687
J. $6,405
K. $8,000
What is the value of this expression
Plug in the values in the right positions. And simplify.
[tex] = \frac{1}{2} (12 \times \frac{1}{4} ) - \frac{1}{2} \\ = \frac{1}{2} (3) - \frac{1}{2} \\ = \frac{3}{2} - \frac{1}{2} \\ = \frac{2}{2} \\ = 1[/tex]
OPTION C IS THE ANSWER .
i cn T FING THIS HELPPPPPPPP
The equation which describes Riya's graph is:
a). C(t) = -3t + 24.
We can easily find out the equation by concentrating on the axes.
For example,
Just look from the graph the value of C when t = 0.
We can conclude that C should be equal to 24 when t is equal to 0.
Now, let us put this value of t ( which is 0) in the equations one by one:
a). C(t) = -3t + 24
=> C(0) = -3 (0) + 24
=> C(0) = 24.
So, equation a). satisfies the given criteria.
Similarly, b) also qualifies but c) and d) are not equal to 24 when t = 0.
So, remove them.
Now, let's look at the value of t when C=0.
We can see that t should be equal to 8.
Let's put this value in equations,
a). 0 = -3t + 24
=> 3t = 24
=> t = 8.
Now, we can see that equation a). satisfies all the given conditions for the graph.
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this exercise refers to choosing two cards from a thoroughly shuffled deck. assume that the deck is shuffled after a card is returned to the deck. if you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a 10 and the second card is a jack?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Solve the problem?
Given that a card is selected from a 52-card deck that has been thoroughly shuffled without being replaced, the following card is drawn.
A: The top card is a 4, and B: The next card is an ace.
Probability =A∩B
After this first card is pulled, if 10is drawn, we have 51 cards left with 4 aces in them. This is the probability we need to discover for
P(A). = 10/52
P(B) = number of aces in 51 cards divided by 51, thus = 4/51
Hence A∩B =10/52×10/51
= 100/2652
(From this, we can see that, after changing the card count, A and B are independent.
Additionally, we multiply the probability for both.)
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in the diagram below the lager angle is 4 times bigger than the smaller angle.find larger angle
Let the smaller angle be
[tex]=x[/tex]The larger angle is 4 times bigger than the smaller angle means
[tex]\begin{gathered} \text{larger angle =y} \\ \text{Therefore,} \\ y=4\times x \\ y=4x \end{gathered}[/tex]Concept:
The sum of two or more angles on a straight line is always 180°
Therefore,
[tex]x+y=180^0[/tex]By substituting the value of y=4x in the equation above, we will have
[tex]\begin{gathered} x+4x=180^0 \\ 5x=180^0 \\ \text{divide both sides by 5} \\ \frac{5x}{5}=\frac{180^0}{5} \\ x=36^0 \end{gathered}[/tex]substitute the value of x= 36° in y=4x to find the value of the bigger angle
[tex]\begin{gathered} y=4x \\ \text{when x=36} \\ y=4\times36 \\ y=144^0 \end{gathered}[/tex]Hence,
The larger angle is =144 °
OPTION D IS THE CORRECT ANSWER
What is the effect on the volume of a cylinder if the radius is doubled while the height is halved?A. The volume is halved.B. The volume remains the same.C. The volume is multiplied by 4.D. The volume is doubled.
Given that
There is a cylinder and we have to find the change in its volume if the radius is doubled and the height is halved.
Explanation -
Let the Initial radius be r and the height be h. Then the initial volume will be
[tex]v=\pi\times r^2\times h-----------(i)[/tex]Now applying the given changes,
new radius = 2 x r
new height = h/2
Then the new volume will be V,
[tex]\begin{gathered} V=\pi\times(2r)^2\times\frac{h}{2} \\ \\ V=\pi\times4r^2\times\frac{h}{2} \\ \\ V=2\times\pi\times r^2\times h \\ \\ On\text{ substituting v = }\pi\times r^2\times h \\ \\ V=2\times v \end{gathered}[/tex]Hence volume will be doubled. And option D is correct.
Final answer -
Therefore the final answer is OPTION D.Match each equation to one of the lines
5x + 3y = 20
The graph of the linear function 5x + 3y = 20 is given at the end of the answer.
How to graph a linear function?To build the graph of a linear function, we identify two points on the line, and then plot a line passing through them.
In this problem, the function is:
5x + 3y = 20.
The points that we are going to choose are the intercepts. The x-intercept is the value of x when y = 0, hence:
5x = 20
x = 20/5
x = 4.
Meaning that point (4,0) is on the graph of the function.
The y-intercept is the value of y when x = 0, hence:
3y = 20
y = 20/3
y = 6.67.
Meaning that point (0, 6.67) is on the graph of the function.
The graph is plotted with a line passing through the points (4,0) and (0, 6.67).
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n is an integer. What are the possible values of n? A -2, -1, 0, 1, 2, 3, 4, 5, 6 B BUDE -2 < n ≤ 6 C -1, 1, 2, 3, 4, 5, 6 -2, -1, 0, 1, 2, 3, 4, 5 -2, -1, 0, 1, 2, 3, 4, 5, 6, 7 E -1, 0, 1, 2, 3, 4, 5, 6
Answer: Choice E
Explanation:
The given inequality means n is between -2 and 6. We exclude -2 itself, but include 6.
The set of integer values is -1, 0, 1, 2, ..., all the way up to 6.
Which of the following statements is true about the graph shown?
The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship
Answer: A
Step-by-step explanation:
Petra must write a report with more than 1,000 words forher history class. So far, she has written 684 words. Writeand solve an inequality to find how many more wordsPetra needs to write for her report.
Step 1: Let the remaining number of words be X.
The inequality equation becomes:
[tex]\begin{gathered} X+684>1000 \\ X>1000-684 \\ X>316 \end{gathered}[/tex]Hence, the number of words Petra has to write to have more than 1000 words should be greater than 316 words.
Por C?AnswerExample0 How many ways can 4 candy bars be chosenfrom a store that sells 30 candy bars?С27,4052 How many ways can 13 students line up for lunch?113 How many ways can you make a 3-letterarrangements out of the letters in the wordTRAPEZOID.4 How many ways can you choose 2 books from ashelf of 40 books-5 How many ways can 12 swimmers finish in first,second, and third place?.L11---How many ways can Mrs. Sullivan choose twostudents from 27 to help put away calculators atthe end of class?----1-111
1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?
In this case we can combine 30 types of candy bars in a set of 4 bars.
This can be calculated as a combination of 30 in 4 with no repetition:
[tex]\begin{gathered} C(n,r)=\frac{n!}{(n-r)!r!} \\ C(30,4)=\frac{30!}{(30-4)!4!}=\frac{30!}{26!4!}=\frac{30\cdot29\cdot28\cdot27}{4\cdot3\cdot2\cdot1}=\frac{657720}{24}=27405 \end{gathered}[/tex]Answer: 27,405 possible combinations (C).
2) How many ways can 13 students line up for lunch?
In this case we have a permutation of 13 in 13 with no repetition.
We can calculate this as:
[tex]\begin{gathered} P(n,r)=\frac{n!}{(n-r)!} \\ P(13,13)=\frac{13!}{(13-13)!}=\frac{13!}{1}=6227020800 \end{gathered}[/tex]Answer: 6,227,020,85)00 possible permutations (P).
3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.
In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.
We can calculate this as:
[tex]P(9,3)=\frac{9!}{(9-3)!}=\frac{9!}{6!}=9\cdot8\cdot7=504[/tex]Answer: 504 possible permutations (P).
4) How many ways can you choose 2 books from a shelf of 40 books.
In this case, the order does not matter, so it is a combination of 40 in 2.
This can be calculated as:
[tex]C(40,2)=\frac{40!}{(40-2)!2!}=\frac{40!}{38!2!}=\frac{40\cdot39}{2\cdot1}=\frac{1560}{2}=780[/tex]Answer: 780 possible combinations (C)
5) How many ways can 12 swimmers finish in first, second, and third place?
In this case, the order does matter, so we have a permutation of 12 in 3:
[tex]P(12,3)=\frac{12!}{(12-3)!}=\frac{12!}{9!}=12\cdot11\cdot10=1320[/tex]Answer: 1320 permutations (P)
6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?
The order does not matter between the two students, so it is a combination of 27 in 2:
[tex]C(40,2)=\frac{27!}{25!2!}=\frac{27\cdot26}{2\cdot1}=351[/tex]Answer: 351 combinations (C)
Select the correct answer.
Which graph shows a function and its inverse?
A. The first graph
B. The second graph
C. The third graph
D. The last graph
Answer:
B
Step-by-step explanation:
It is asking which graph show (x,y) for one line and (y,x) for the other line.
For example, the blue line shows (0,2) as a point and the red line shows ( 2,0) and so on and so on.
1/3 divided by 2 (1/2)^3
please help me
Answer:
1/24
Step-by-step explanation:
.........................
Answer:
I'll assume that "2 (1/2)^3" means 2*(1/2)^3.
Step-by-step explanation:
(1/3)/(2*(1/2)^3)
(1/3)/(1)^3
= (1/3)
===========================
If "2(1/2)^3" means (2+1/2)^2:
((5/2)^2 = (25/4)
--
(1/3)/(25/4)
(1/3)*(4/25) = 4/75 or 0.05333
Does this graph represent a function? Why or why not
The snail travels 10 cm in 4 min. How far does a snail travel in 6 min?
Given.
The distance covered by the snail in 4 minutes is 10 cm.
The speed of snail is,
[tex]\begin{gathered} Spe\text{ed=}\frac{dis\tan ce}{time} \\ =\frac{10}{4}\frac{cm}{\min } \\ =2.5\text{ cm/min} \end{gathered}[/tex]The distance covered by snail in 6 minute is,
[tex]\begin{gathered} \text{Distance}=\text{speed }\times time \\ =2.5\times6 \\ =15\text{ cm} \end{gathered}[/tex]Hence, the distance covered by the snail is 15 cm.
Speed :
Speed is defined as the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling.
Hence , speed can be calculated by using the formula,
Speed = [tex]\frac{Distance-travelled}{Time-taken}[/tex]
Given data :
Distance travelled by the snail = 10 cm = 0.1 m
Time taken by the snail to travel a distance of 10 cm = 4 min = 240 s
Then , speed of the snail = [tex]\frac{10}{4}[/tex] = 2.5 cm/min = 0.0004 m/s
If the time taken by the snail is 6 min = 360 s
Then, the distance travelled by the snail in 6 min
= speed x time taken
= 2.5 cm/min x 6 min
= 15 cm = 0.15 m.
Therefore, the snail travels a distance of 15 cm in 6 min.
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Given the circle below, find the value of x.251L (9x+26)*
Given the following:
Then:
[tex]a=\frac{b-c}{2}[/tex]In this case, we are given:
a = (9x + 26)
b = 251
To find c, we rest a whole circle (360) and rest angle b:
[tex]c=360-251=109[/tex]And now, we use the formula from above:
[tex]9x+26=\frac{251-109}{2}[/tex]And solve for x:
[tex]\begin{gathered} 9x+26=\frac{142}{2} \\ . \\ 9x=71-26 \\ . \\ x=\frac{45}{9} \\ . \\ x=5 \end{gathered}[/tex]The answer is the last option, x = 5
Miyako is building a raised garden bed the garden is a right rectangular prism with the dimensions shown how many cubic feet of soil does miyako need to fill the garden bed
Answer:
Step-by-step explanation 10:
two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added what ha the percentage of this tax round your answer to the nearest tenth
The percentage of the tax is 11.26%
Percentage:
Percentage is defined as the number or ratio that can be expressed as a fraction of 100. If you want to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added .
Here we need to find the tax in percentage.
Let us consider x be the percentage of tax has been added to the food.
The the given details, we have identified the following details,
Amount of the food = $36.54
Tax amount = $4.12
So, it can be written as,
x% of $36.54 = $4.12
Here we need the percentage value so we have to move the other to the right side, then we get,
x% = $4.12/36.54
x% = 0.1126
To convert it into percentage, then we have to multiply it by 100, then we get,
x = 11.26
Therefore, the tax percentage is 11.26%.
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P.L.Z HELP. 50pts
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Slope-intercept form: y=-2/3=x+490 The slop is -2/3 and the y-intercept is unknown.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Answer:
[tex]y=-\dfrac{2}{3}x+490[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]2x + 3y = 1470[/tex]
To change the equation to slope-intercept form, isolate y:
[tex]\implies 2x + 3y -2x=1470 -2x[/tex]
[tex]\implies 3y=-2x+1470[/tex]
[tex]\implies \dfrac{3y}{3}=\dfrac{-2x+1470}{3}[/tex]
[tex]\implies y=-\dfrac{2}{3}x+\dfrac{1470}{3}[/tex]
[tex]\implies y=-\dfrac{2}{3}x+490[/tex]
Therefore:
[tex]\textsf{Slope} =-\dfrac{2}{3}[/tex][tex]\textsf{$y$-intercept}=490[/tex]To graph this line with the slope-intercept method:
Plot the y-intercept at (0, 490).The slope gives us the change in y-values over the change in x-values (rise over run). Therefore, use the slope to plot the next few points by mapping 3 units to the right and 2 units down each time:To write the equation in function notation, replace the y-variable for f(x).
[tex]\implies f(x)=-\dfrac{2}{3}x+490[/tex]
The graph of the function represents:
The number of wrap lunch specials sold given the number of sandwich lunch specials sold.The y-intercept of the graph is (0, 490).
To find the x-intercept, set the function to zero and solve for x:
[tex]\implies -\dfrac{2}{3}x+490=0[/tex]
[tex]\implies -\dfrac{2}{3}x=-490[/tex]
[tex]\implies -2x=-1470[/tex]
[tex]\implies x=735[/tex]
Therefore, the x-intercept is (735, 0).
The graph of the function is attached.
If Sal's total profit on lunch specials for the next month is $1,593 (where the profit amounts are the same) the equation would be 2x + 3y = 1593 and the function would be:
[tex]g(x)= -\dfrac{2}{3}x+531[/tex]
As the coefficient of the x-variable has not changed, the slopes of the two functions are the same.
As the total profit has changed, the intercepts are different.
The y-intercept of the first function is (0, 490) and its x-intercept is (735, 0). Whereas the y-intercept of the second function is (0, 531) and its x-intercept is (796.5, 0).
2(x + 7) = 6x + 9 - 4x
EXPLANATION
Given the equation:
2(x+7) = 6x + 9 -4x
Applying distributive property:
2x + 14 = 6x + 9 -4x
Adding similar terms:
2x + 14 = 2x + 9
Subtracting -2x to both sides:
14 ≠ 9
--->The equation hasn't got solution.
The average change in a company's sales income was $9 million over 3 moths. Determine the average change in sales income per month.
The average change in sales income per month is $ 3 million.
What is average change and how is it assessed?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.
Given, for 3 months, the average change in the company's sales
= $ 9 million
Also, for x months, the average change in the company's sales
= $ (9x/3) million
Therefore, for one month, the average change in the company's sales
= $ (9*1/3) million = $ 3 million
Thus, the average change in sales income per month is $ 3 million.
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