Answer:
The results are the opposite sign of x1 and x2.
[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 17x + 72 = 0[/tex]
[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]
[tex]Δ = 289 - 288 = 1[/tex]
[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]
[tex]x1 = \frac{17 + 1}{2} = 9[/tex]
[tex]x2 = \frac{17 - 1}{2} = 8[/tex]
No rush for a answer help is very much needed :))
Answer:
area of sphere: 16πa²b²c²
Explanation:
[tex]\sf surface \ area \ of \ sphere = 4\pi r^2[/tex]
[tex]\sf where \ r \ is \ radius[/tex]
Here given,
radius: 2abcusing the formula:
[tex]\sf surface \ area \ of \ sphere = 4\pi r^2[/tex]
[tex]\sf \hookrightarrow 4\pi r^2[/tex]
[tex]\sf \hookrightarrow 4\pi (2abc)^{2}[/tex]
[tex]\sf \hookrightarrow 4\pi (2^2 a^2 b^2 c^2)[/tex]
[tex]\sf \hookrightarrow 2^2\cdot \:4\pi a^2b^2c^2[/tex]
[tex]\sf \hookrightarrow 16\pi a^2b^2c^2[/tex]
Kelly wants gummy bears. She can buy an 8 oz. bag for $0.88, a 12 oz. bag for $1.20, or a
24 oz. bag for $2.16. Which bag should Kelly buy to get the best deal?
Answer:
I believe it would be the last one (24 oz. for $2.16)
Step-by-step explanation:
The 8 oz. for $0.88 cents would cost 0.11 cents (0.88 divided by 8)
The 12 oz. for $1.20 cents would cost 0.1 cents (1.20 divided by 12)
The 24 oz. for $2.16 cents would cost 0.09 cents (2.16 divided by 24)
So since .09 is the lowest number that makes it cost less
I believe this is the answer don't quote me on this.
I need help with this question please look at the picture attached to it
Answer:
54/7
Step-by-step explanation:
Judy paid $10.48 for a number of
toothbrushes. If each toothbrush
costs $1.31, how many toothbrushes
did Judy get?
Here are the test scores for 10 students in Mr. P's class.
59 , 94 , 57 , 87 , 75 , 90 , 82 , 57 , 65 , 77
What is the percentage of these test scores that are less than ?
[tex]\\ \rm\hookrightarrow Mean=\dfrac{Sum}{n}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{59+94+57+87+75+90+82+57+65+77}{10}[/tex]
[tex]\\ \rm\hookrightarrow 74.3\%[/tex]
The percentage of these test scores that are less than 81 will be 60%.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The quantity of anything is stated as though it were a fraction of a hundred.
A fraction of 100 can be used to express the ratio.
Values less than 81 = (59, 57, 75, 57, 65, 77),n=6
Total no of values, N=10
Percentage = n/N×100
=6/10×100
=60%
Hence, the percentage of these test scores that are less than 81 will be 60%.
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Two girls each opened their own lemonade stand. They paid the same amount, c, for each lemon, but they collected different amounts of money from customers. The expressions in the table can be used to calculate the profit each girl made. The girls made the same amount of profit.
1st Girl 80.25-87c
2nd Girl 73.35 - 64c
What is C, the amount paid for each lemon?
A $0.30
B $1.02
C $0.45
D $6.68
Answer: $0.45
I switched schools from normal to online did this twice and got it right so it is C 0.45
The value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.
What is an algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Two girls each opened their own lemonade stand. They paid the same amount, c, for each lemon, but they collected different amounts of money from customers.
The expressions in the table can be used to calculate the profit each girl made.
The profit made by the first girl is,
[tex]80.25-87c[/tex]
The profit made by the second girl is,
[tex]73.35 - 64c[/tex]
Here, (c), is the amount paid for each lemon.
As, both the girls made the same amount of profit. Thus the above two expression should be equal as,
[tex]80.25-87c=73.35 - 64c\\87c-64c=80.25-73.35\\23c=6.9\\c=\dfrac{6.9}{23}\\c=0.3[/tex]
Hence, the value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.
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what is the circumference and area of this circle?
Solve
1) The wage, W dollars, of a person who works R hours of overtime is given by the formula [tex]W = 200r + 5900[/tex]
a) make a R subject of this formula
b) find the number of hours of overtime worked by someone whose total wage is $8200
Step-by-step explanation:
a)
W = 200R + 5900
now, we want to transform this, so we get R = ...
W - 5900 = 200R
R = (W - 5900)/200
b)
R = (8200 - 5900)/200 = 2300/200 = 23/2 = 11.5
there were 11.5 hours of overtime.
A natural history museum surveyed the people visiting the museum for one month and
created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph.
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Answer:
20
Step-by-step explanation:
19-44=25
45-64=19 25+19=44 44-64=20
{x + y = 2
{y = -1/4 x^2+3
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.
1) I put them in two separate brakets.
2) I solved it by equating both of them.
Answer:
1. Substitute for y in the first equation. Solve for x by completing the square. Substitute for x in the first equation to find y.
2. (x, y) = (2+2√2, -2√2) and (2-2√2, 2√2)
Step-by-step explanation:
1.The first equation is a linear equation in standard form. The second equation is a quadratic equation giving an expression for y. The system can be solved by using the second equation to substitute for y in the first equation. After the resulting equation is put in suitable form, the irrational solutions can be found by completing the square. Then the y-values can be found by substituting the x-values into either of the given equations. Usually, it is easiest to substitute into the linear equation.
__
2.Substituting for y in the first equation:
x +(-1/4x^2 +3) = 2
Multiplying by -4 to eliminate the fraction and make the leading coefficient 1, we have ...
-4x +x^2 -12 = -8
x^2 -4x = 4 . . . . . . add 12
x^2 -4x +4 = 8 . . . . add 4 to complete the square
(x -2)^2 = 8 . . . . . . write as a square
x -2 = ±√8 = ±2√2 . . . . take the square root
x = 2 ±2√2 . . . . . . add 2
Solving the first equation for y, we get ...
y = 2 -x
Substituting the values of x we found gives ...
y = 2 -(2 ±2√2) = ∓2√2
Solutions are ...
(x, y) = (2+2√2, -2√2) and (2-2√2, 2√2)
calculate the unit rate for each option and determine which one is the best buy.
$800 for 33 pairs of shoes
$625 for 25 pairs of shoes
What is the slope of the line that passes through the points (0, -4) and (30, – 9)?
Answer:
-1/6
Step-by-step explanation:
the slope is -1/6
What is x?
2x = square root of three divided by six
[tex]\\ \rm\rightarrowtail 2x=\dfrac{\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail 6(2x)=\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail 12x=\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{\sqrt{3}}{12}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1}{4\sqrt{3}}[/tex]
Answer:
Step-by-step explanation:
i did not understand which one did you mean so,
1)[tex]2x=\sqrt{\frac{3}{6} } \\2x=\sqrt{\frac{1}{2} } \\x=\frac{1}{\sqrt{2}*2}[/tex]
2)[tex]2x=\frac{\sqrt{3}}{6} \\x=\frac{\sqrt{3}}{12} \\x=\frac{1}{4*\sqrt{3} }[/tex]
the hocky team won 63 out of 84 games what percent of the games did the team win?
Answer:
75%
Step-by-step explanation:
To find how much percent of the team won, you have the event over the sample space.
So n(E)/n(S) = 63/84 = 3/4 = 0.75 = 75%
Feel free to comment if you have any questions! :D
Answer:75%
Step-by-step explanation:
63/84 = 3/4 in other words 75%
What is the slope of the line that passes through the points (-9, -7) and
(-11, 6)
Answer:
-13/2
Step-by-step explanation:
-13/2 is the answer
Which of the following numbers is the opposite of -
m 100
?
m 100
8
3
| დ |ო ო |
3
8
5% chance of winning a large prize on the Spin the Wheel Game, and a 2% chance of winning a large prize on The Goblet Game. If Kiara plays both games, what is the probability that she wins a large prize on one of these games?
Answer:
3.5%
Step-by-step explanation:
5% = ⁵/¹⁰⁰ and 2% = ²/¹⁰⁰
5/100 + 2/100 = 7/200 to get the proper percentage you have to divide that by 2 so 7/100 ÷ 2 = 3.5/100 or 3.5%
Determine whether the relation is a function. Explain.
Answer:
it is a function
Step-by-step explanation:
because every input has its own output.
Answer:
It's a function
Step-by-step explanation:
The relation is
Input x is by adding 3
= - 3 + 3=0
output y by substracting 6
= 11 - 6 = 5
A salesman earns 5% commission on all the merchandise that he sells. Last month he sold $8000 worth of merchandise. How much commission (in dollars) did
he earn last month?
Answer:
$400
Step-by-step explanation:
Given
5% commission worth of $8000 total sales
.05*8000= $400 Ans
find the value of x and give reasoning in the following image
Answer:
x = 75°
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
[tex]\implies seg\: AB|| seg\: DC[/tex]
(Opposite sides of a parallelogram)
[tex]\implies m\angle A + m\angle B=180\degree[/tex]
(Interior angles on the same side of transversal)
[tex]\implies 105\degree + m\angle B=180\degree[/tex]
[tex]\implies m\angle B=180\degree-105\degree[/tex]
[tex]\implies m\angle B=75\degree[/tex]
[tex]seg \: AB || seg\: EF.....(Given)[/tex]
[tex]\implies m\angle B =m\angle BEF[/tex]
(Alternate angles)
[tex]\implies 75\degree =x [/tex]
[tex]\implies \huge\red{\boxed{x =75\degree}} [/tex]
!!! question I'm not too sure how to do this, I need a direct answer as i am currently kinda struggling w my grades
Answer:
x = 2
Step-by-step explanation:
when you set these two equations equal to each other, you plug in numbers for x until you find one that makes both sides of the equation equal. For example, 2^x - 1 = -x + 5 if you plug a 2 in for x you get 4-1 = -2+5 and both sides of the equation are equal to 3
Can someone help me with this please I hate geometry
Answer:
C)
Step-by-step explanation:
If triangle XYZ is equilateral, then its height YW is:
[tex]YW=\sqrt{2^2-1^2} =\sqrt{3}[/tex]
if YW is the diameter of the circle, and diameter = 2 x radius, then
radius = [tex]\dfrac{\sqrt{3} }{2}[/tex]
Area of a circle = [tex]\pi r^2[/tex]
[tex]\implies \textsf{area }=\pi \left(\dfrac{\sqrt{3} }{2}\right)^2=\dfrac34\pi[/tex]
3x + 8y = 7
2x - 2y = -10
what is x and y show work please
basically show work
Answer:
so I don't know how to to take an image but I can try to explain
so here it goes
you can use either elimination method or the substitution method if you use the elimination method then you will have to either pick between using the X coordinate or the y coordinate I choose the X coordinate so the top equation multiply by 2 and the lower equation x by 3 you will end up with 6 x plus 16 y is equals to 14 and 6 x - 6y is equals to -30 subtract the both equations and end up with 0 + 22 y is equals to 44 hence
What is the equation of the line that passes through the point (1,-3) and has a slope of -3? PLEASE HURRY
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \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}{(-3)}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y+3=-3x+3\implies y=-3x[/tex]
The opening balance of one of the 31-day billing cycles for Suzy's credit card
was $7400, but after 15 days Suzy made a payment of $4900 to decrease her
balance, and it stayed the same for the remainder of the billing cycle. if her
credit card's APR is 22%, how much more in interest would she pay for the
billing cycle with the previous balance method than with the adjusted balance
method?
Answer: $91.56
Step-by-step explanation: honestly im just winging it hope its right
The amount she will pay more in interest when she pays for the
billing cycle with the previous balance method than with the adjusted balance method is $47.26.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is PRT/100.
Where P is the principal, R is the rate, and T is the time in years.
We have,
Previous balance method:
P = 7400
T = 31 days
R = 22%
SI:
= (7400 x 22 x 31) / (100 x 365)
= 50468 / 365
= $138.27 ________(A)
Adjusted balance method.
P = 7400
T = 15 days
R = 22%
SI
= (7400 x 22 x 15) / (100 x 365)
= $66.90 _____(1)
After 25 days,
P = 7400 - 4900 = 2500
T = 16 days
Si:
= (2500 x 22 x 16) / (100 x 365)
= $24.11 ______(2)
From (1) and (2),
SI = 66.90 + 24.11 = $91.01 _______(B)
Now,
From (A) and (B) we get,
138.27 - 91.01
= 47.26
Thus,
$47.26 more interest is paid.
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Helppppp What is the volume?
Answer:
Step-by-step explanation:
The volume is found by multiplying all the sides of the rectangular shape.
Thus the volume = 6 * 8 * 10 = 480 cubic feet
Hope that helps!
Answer:
480 cubic feet
Step-by-step explanation:
The volume of any prism is Bh, where B = AREA of the base and h = height of prism.
We're given:
Dimensions of base as 6 and 8Height as 10Now, we solve the volume.
[tex](6)(8)(10)[/tex] [tex](48)(10)[/tex] [tex]480[/tex]Therefore, the answer is 480 cubic feet.
What is the slope and y- intercept? PLEASE HELP ASAP!!
Answer:
slope is 2 y int is -4
Step-by-step explanation:
Consider the graph below, and identify the piecewise function that describes it. An image of a graph. Question 12 options: f(x)=⎧⎩⎨⎪⎪−x−22xx<33≤x≤6x>2⎫⎭⎬⎪⎪ f(x)=⎧⎩⎨⎪⎪−x−22x−11x<3x≤x≤6x>2⎫⎭⎬⎪⎪ f(x)=⎧⎩⎨⎪⎪−x−3−22xx≤33
Answer:
20000
Step-by-step explanation:
HOPED THIS HELPED
A brainlyist is always appreciated
GOOD LUCK
Is 2/5 closest to 0, 1/2 or 1
Answer:
1/2
Step-by-step explanation:
2/5 = 0.4
1/2 = 0.5
So 2/5 is closer to 1/2 since it is only 0.1 away whilst 1 is 0.6 away and 0 is 0.4 away
Answer:
It is closer to 1/2
How many grams are equal to 3,418 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
34.18 grams
34,180 grams
3.418 grams
314.8 grams
Answer:
3.418
Step-by-step explanation:
A gram is 1/1000 of a gram so if we move the decimal point over 3 places you get 3.418.
