Answer:
[tex]Total\ Price = \$57.12[/tex]
Step-by-step explanation:
Step 1: Determine the discounted price
[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]
[tex]Discount=\$68 * (1 - 0.2)[/tex]
[tex]Discount=\$68 * (0.8)[/tex]
[tex]Discount=\$54.4[/tex]
Step 2: Determine the total with tax
[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]
[tex]Total\ Price = \$54.4*(1+0.05)[/tex]
[tex]Total\ Price = \$54.4*(1.05)[/tex]
[tex]Total\ Price = \$57.12[/tex]
Answer: [tex]Total\ Price = \$57.12[/tex]
Hope this helps! Let me know if you have any questions
The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's savings. (Please leave your answer in the simplest ratio.)
The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
How to determine the ratio?The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
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plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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22x22 is a op question but what is 42x42
Answer:
The to 42 x 42 is 1764
Step-by-step explanation:
22 x 22 = 484
The two stadiums with the largest capacity is are Marshfield Stadium and Browden stadium. The capacity of Marshfield Stadium exceeds that of Bowden by 4,465 people. Combined, the two stadiums have a capacity of 210,355 people. Find the capacity of each stadium.
Step-by-step explanation:
x = capacity of Marshfield
y = capacity of Browden
x + y = 210,355
x = y + 4,465
so, using the second equation in the first
(y + 4,465) + y = 210,355
2y + 4,465 = 210,355
2y = 205,890
y = 102,945 (Browden)
x = y + 4,465 = 102,945 + 4,465 = 107,410 (Marshfield)
What is the median of the following set of numbers?
Answer: order the data from least to greatest then cross out from left to right to get to the middle and you have your number
Step-by-step explanation:
What is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?
a) 2/3
b) 21/50
c) 18/25
d) 7/40
Answer:
c) 18/25
Step-by-step explanation:
The total of all votes is 1000.
The total of all 'agree' votes is 420.
Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.
From there we simplify 720 / 1000 -> 18 / 25
Explain how to derive a formula for sin(A - B + C)
[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]
[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]
14 numbers are written in a row so that the sum of any three consecutive numbers is 19, and that the sum of all the numbers is 77. Find the 9th number.
Step-by-step explanation:
The series of numbers that meets the
requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?
To verify that the series meets the requirements, we must establish what the requirements are:
●Every 3 consecutive numbers must add up to 19.
●In total there must be 14 numbers.
●The total sum of all the numbers must be 77
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 19
9 + 4 + 6 = 19
7 + 3 + 9 = 19
2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
HELP IMMEDIATELY, ASAP, INSTANTLY, `NOW!!! THANKS
Which type of graph is often the LEAST accurate? A) a pie chart B) a pictograph C) a bar graph D) a line graph
Answer:
Pictograph is the least accurate!
Step-by-step explanation:
Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.
A group of friends go on a 3-hr bike ride together. They ride 15 km with the wind at their backs
and then 15 km straight into the wind. The wind adds or subtracts 3 km/hr from their speed.
Calculate the average speed of the group of friends with no wind.
Step-by-step explanation:
7km/hr and 13km/hr
Because in this case we divide the total time taken will be 10km/hr but according to the question we have to subtract 3km/hr and also have to add 3km/hr. There for there for there average speed of friends with wind was 7km/hr and friends without wind will be 13km/hr.
Answer:
10.8 km/h to the nearest tenth.
Step-by-step explanation:
Let x be the average with no wind.
Speed = distance / time
With the wind:
x + 3 = 15 / t A where t = time in hours for the first half of journey
Against the wind:
x - 3 = 15/(3 - t) B
Subtract A - B:
6 = 15/t - 15(3 - t)
6t(3 - t) = 15(3 - t) - 15t
18t - 6t^2 = 45 - 30t
6t^2 - 48t + 45 = 0
2t^2 - 16t + 15 = 0
t = - 1.085
So average speed (from equation B)
x = 15/ (3 - 1.085) + 3
= 10.8 km/h to the nearest tenth.
What is the area of this composite figure?
Answer:
36.56
Step-by-step explanation:
the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
A. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 also rounds to 8, so it is reasonable.
B. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 rounds to 7, so it is not reasonable.
C. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 also rounds to 7, so it is reasonable.
D. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 is not equal to 7, so it is not reasonable.
Answer:
C
Step-by-step explanation:
Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...
15.3 rounds to 15
7.9 rounds to 8
7.4 rounds to 7
So, his answer is reasonable.
1\2(x-12)=4 what is this
Answer:
1/2x=10
x=20
Step-by-step explanation:
x=5 because 1/2x-6=4
Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20
Answer:
x = 20
Step-by-step explanation:
[tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]
x - 12 = 8
Add 12 to both sides,
x = 8 + 12
[tex]\sf \boxed{x = 20}[/tex]
Find the slope and the -intercept of the line. y=x+8
Answer:
slope = 1
y intercept = (0,8)
Step-by-step explanation:
the equation y = x + 8 is put in y = mx + b form
where m = slope and b = y intercept
in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)
Answer:
m = 1 and b = 8
Step-by-step explanation:
y = x + 8
Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the
y-intercept so b=8
answer these questions:
Q- What score represents the mean?
Q-What percent of the scores were between 81 and 87?
Will give brainliest!!
You have a jar of marbles in front of you with the following colors: 12 are red, 17 are blue, 8 are yellow, and 13 are white. Suppose you had a larger jar of 250 marbles with the same ratio of colors. What is the probability of selecting either a red or white marble from the larger jar?
Answer: 12+17+8+13=50, meaning that if we wanted to scale the amount of marbles to 250, we would need to multiply by 5.
So, if we multiply each amount of marbles times 5, that would give us:
60 red marbles
85 blue marbles
40 yellow marbles
65 white marbles
now, the probability of selecting a red or white marble from the jar of 250 marbles, you would need to add together the amount of white and red marbles, and divide that by 250.
60 + 65= 125 / 250
Wwe could stop there if the question wants the answer in fractions, and just simplify, but if it needs the answer in a percentage, then you would still divide 125 by 250.
125/250=0.5
0.5 is equal to 50%
(If the fraction needs to be simplified it would be 5/10, which is also 1/2.)
please help with each step to solve.
Answer:
Answer is in attached picture
Step-by-step explanation:
There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:
x = 4 + 5i*sqrt(7)
x = 4 - 5i*sqrt(7)
please help will mark Brainliest!!
Answer:
Option D, [tex]16\ units[/tex]
Step-by-step explanation:
Step 1: Determine the perimeter
[tex]P = 2(l + w)[/tex]
[tex]P = 2(5\ units + 3\ units)[/tex]
[tex]P = 2(8\ units)[/tex]
[tex]P = 16\ units[/tex]
Answer: Option D, [tex]16\ units[/tex]
Hello all, what is 8y = 89.
Answer:
y= 11. 125
Step-by-step explanation:
8 y = 89
because you do not have another y on the other side simple divide
8 y = 89
89 / 8 = y
y= 11. 125
(Not sure what decimal place to round to so there are all 3 )
Hey there!
8y = 89
DIVIDE 8 to BOTH SIDES
8y/8 = 89/8
SIMPLIFY IT!
y = 89/8
y ≈ 11 1/8
y ≈ 11.125
Therefore, the answer is:
y = 89/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please solve ASAP:
A bowl contains 10 red apples and 10 green apples. Leyan selects apples at random without looking at them. How many apples must she select to be sure of having at least three apples of the same color.
(use Generalized Pigeonhole Principle)
(show your work)
=======================================================
Explanation:
R = red apple
G = green apple
The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.
We have to consider the opposite side of the spectrum and consider the worst case scenario.
Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.
Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.
--------------------
Extra info (optional section)
If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.
Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.
f(x) = xWhat is g(x)?
11(x) = x²
g(x)
O A. g(x) = -3x2
B. g(x) = x2 - 3
Oc. g(x) = -x²
O D. g(x) = -x2 - 3
What number is 110% of 17?
Answer:
18.7
Step-by-step explanation:
110 % = 1.1
17 x 1.1 = 18.7
ALSO:
percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.
17% of 110 is also 18.7
Answer: Heyaa! ^
18.7 is 110% of 17 ~ Making your answer be 18.7
Step-by-step explanation:
Evaulte the problem..
Hopefully this helps you! ~
Jillian scored 104 points in a trivia game. She correctly answered 26 questions during the game. How many points did she score per question?
Answer:
4 points
Step-by-step explanation:
104 divided by 26 is 4
and 26x4=104
You can also add 26 4 times to get 104
Answer:
4
Step-by-step explanation:
100 / 25 is 4. So 104 / 26 must be 4 because you added 1 to 25 4 times to 26 x 4 is 106.
what are the solutions to the system of equations below 3y=x-2 y=-2x+4
The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of the equation:
3y=x-2 ..(1)
y=-2x+4 ...(2)
From the equation (2) take the value of y and plug in the equation (1)
3(-2x+4) = x -2
-6x + 12 = x - 2
7x = 14
x = 14/7
x = 2
Plug this value in the equation (2)
y = -2(2) + 4
y = 0
Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a
b
c
up or down
y-intercept
-2
0
4
down
(0,-2)
Table B
a
b
c
up or down
y-intercept
4
0
-2
down
(0,4)
Table C
a
b
c
up or down
y-intercept
-4
0
-2
down
(0,-2)
Table D
a
b
c
up or down
y-intercept
-2
0
4
down
(0,4)
a.
Table A
c.
Table C
b.
Table B
d.
Table D
The table that correctly describes the given quadratic equation is table D.
Which table correctly describes the quadratic equation?A general quadratic equation is written as:
[tex]y = a*x^2 + b*x + c[/tex]
The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.
If a > 0, then it opens up.If a < 0, then it opens down.In this case, the quadratic equation is:
[tex]y = -2x^2 + 4[/tex]
Then we have:
a = -2b = 0c = 4.The y-intercept is (0, 4), and because a is negative, the parabola opens down.
Then the correct table is table D.
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Write .0043 as a percentage
Answer:
0.43%
Step-by-step explanation:
In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.
That’s the Answer in the right order
Answer:
3rd one
Step-by-step explanation:
i hope have a great day
Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies
Answer:
Step-by-step explanation:
For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)
For the median you need to arrange the number in order of value/size and fine the middle number
Let g(x)= - |x+2|+2 What is the parent function of g(x)?
Here's the link to the answer:
https://riverside.rocks/index.php
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x