The 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write a system of equations that model the problem.Let x burgers are sold by Mrs. Garcia's class and s salad is sold by Mr. Runner’s class. Together, the classes sold 79 items for their school. Thus,
[tex]x + s = 79[/tex] .....1
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes earned $118.17 for their school. Thus,
[tex]1.36(x) + 1.65(s) = 118.17\\1.36x + 1.65s = 118.17[/tex] ....2
(b) Solve the systems of equations from part a.Rewrite the first equation,
[tex]x + s = 79 \\ x = 79-s[/tex] .....3
Put this value of x in equation 2,
[tex]1.36(79-s) + 1.65s = 118.17\\107.44-1.36s + 1.65s = 118.17\\0.29s=118.17-107.44\\s=\dfrac{10.73}{0.29}\\s=37[/tex]
Put this value in equation 3,
[tex]x=79-37\\x=42[/tex]
(c) Whose class sold more items?42 burgers are sold by Mrs. Garcia's class and 37 salad is sold by Mr. Runner’s class. Thus, Mrs. Garcia's class sold more items.
(d) Which class earned more money?Money earned by Mrs. Garcia's class by selling 42 burger at $1.36 each is,
[tex]M_x=1.36\times42\\M_x=57.12[/tex]
Money earned by Mr. Runner’s class by selling 37 salad at $1.65 each is,
[tex]M_s=1.65\times37\\M_s=61.05[/tex]
Thus, Mr. Runner’s class earned more money.
Hence, the 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
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Need help ASAP! TYSM! Simplify 4√6/√30. Show steps.
Answer:
Simplify the radical by breaking the radicand up into a product of known factors.
answer
4√5/5
i hope u understand what i meant by that
sry hope this helps
Answer:
4√5/5
Step-by-step explanation:
yw :)
Darin wants to put a fence around his garden how much fencing should he buy.
Answer:
I don't know. How much he wants I guess.
Step-by-step explanation:
Anyone one know #14???
Answer:
d
Step-by-step explanation:
d is the one with both a y squared and x squared making it an ellipse or oval
A bicycle has it listed price of $852.98 before tax if the sales tax rate is 6.75% find the total cost of the bicycle sales tax included
Please help convert this from quadratic form to vertex form
Please show all steps thank you so much!!!
[tex]y=3x^2+12x+11[/tex]
Step-by-step explanation:To convert this equation into standard form simply expand the equation out using PEMDAS.
PEMDAS
To solve this question you must remember the order of PEMDAS
1) Parentheses
2) Exponents
3) Multiplication and Division
4) Addition and Subtraction
Expanding the Equation
Expand the binomial by raising (x+2) to the second power.
[tex]y=3(x^2+4x+4)-1[/tex]Next, using the distributive property, distribute the 3.
[tex]y=3x^2+12x+12-1[/tex]Then, combine like terms.
[tex]y=3x^2+12x+11[/tex]Find the median, first quartile, third quartile, and interquartile range of the data.
40,33,37,54,41,34,27,39,35
??????? I haven't heard this before
Answer:
Median: 37
First quartile: 33.5
Third quartile: 40.5
Interquartile range: 7
Step-by-step explanation:
Your first step should be putting them in order from least to greatest.
27, 33, 34, 35, 37, 39, 40, 41, and 54. Now to find the median you have to find the middle which in the case would be 37. Now to find the 1st quartile u eliminate the meduan and focus on the lower half of the numbers which would be 27, 33, 34, and 35. If you numbers are even you add and divide by 2. In this case you have to add 34 and 33 and then divide by 2 since they are both in the middle. Your 1st quartile would be 33.5. To find the 3rd quartile you do the same thing as the 1st quartile. Only focus on the upper half now. add both the middles then divide by 2 since there are 2 middles. You 3rd quartile should be 40.5. To fine the inerquartile range you subtract the 1st quartile from the 3rd. so it would be 40.5-33.5 which would give you 7. If you want to fine just the range you would subtract the highest number from the lowest number.
Find the surface area of the rectangular prism (above) using its net (below).
Answer:
48 units sq
Step-by-step explanation:
Find the area of each square/rectangle
2x2
2x5
2x5
2x5
2x2
2x5
Add all the parts together
4 + 10 + 10 + 10 + 4 + 10
= 48 units sq
Everyone I really need the answers now I know that the points I offer are not much but I need I really need someone to answer this. Thank you to whoever answers
Volume = 6³ dm³
Volume = 216 dm³
Volume of rectangular prism = L × W × HVolume = 10 × 8 × 6 cm³
Volume = 480 cm³
Volume of pyramid = 1/3 base area × hVolume = 1/3 × 14 × 17 × 12.86 cm³
Volume = 1020.226 cm³
Volume of Cylinder = πr²hVolume = 3.14 ×6.5² × 5 m³
Volume = 663.325 m³
Volume of Cone = 1/3 πr²hvolume = 1/3 × 18.5² × 16 cm³
Volume = 1825.3 cm³
Volume of Sphere = 4/3 πr³Volume = 4/3 ×3.14 × 7³ m³
Volume = 1436.026 m³
6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the same quote
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 6 students, hence n = 6.There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.The probability of one quote being chosen at least two times is given by:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351[/tex]
[tex]P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321[/tex]
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328[/tex]
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Solve this problem:
2x-6=-3(5-x)
Answer:
x = 9
Step-by-step explanation:
You need to use PEDMAS (Parentheses, exponents, division, multiplication, addition, subtraction) to solve the equation.
1.) Begin by multiplying the values inside of the parentheses by the (-3).
2.) Isolate the variable by adding (15) to both sides.
2.) Isolate the variable by subtracting (2x) from both sides.
Starting Equation.) 2x - 6 = -3(5-x)
1.) 2x- 6 = -15 + 3x
2.) 2x + 9 = 3x
3.) 9 = x
PLEASE HELP!! 7.9 divided by 276.5. Show your work on a paper or online thanks! <3
Answer:3.5
Step-by-step explanation: Check file
Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?
Answer:
The rate of decay is: [tex]2\%[/tex]
Step-by-step explanation:
Exponential functions are modeled by:
[tex]f(x) = a(b)^x[/tex]
Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.
To calculate the percentage, subtract [tex]b[/tex] from 1:
[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]
Multiply the result by 100 to get the percentage.
[tex]0.02 * 100 = 2\%[/tex]
If x =3+2 root 2 find x - 1/x
Answer:
-2+2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since we have the value of x, 3+2[tex]\sqrt{2}[/tex], we can plug that value into the new equation.
We would recieve (3+2[tex]\sqrt{2}[/tex]-1)/3+2[tex]\sqrt{2}[/tex]
Which could simplify to -2+2[tex]\sqrt{2}[/tex]
[tex]x-\dfrac 1x\\\\\\=3+2\sqrt 2- \dfrac 1{3+2\sqrt 2}\\\\\\=3+2\sqrt 2 - \dfrac{3-2\sqrt2}{\left(3+2\sqrt 2\right) \left(3-2\sqrt 2 \right)}\\\\\\=3+2\sqrt 2 -\dfrac{3-2\sqrt 2}{3^2 - \left(2\sqrt 2 \right)^2}\\ \\\\=3+2\sqrt 2-\dfrac{3-2\sqrt2}{9-8}\\\\\\=3+2\sqrt 2-3+2\sqrt 2\\\\\\=4\sqrt2[/tex]
A cone has volume V, radius r, and a height of 12 cm.
Another cone has the same height and 1/3 times the
radius of the original cone. Write an expression for its
volume.
Answer:
I think it is 4/9 pi r
Step-by-step explanation:
according to the condition given:
2nd cone has:
Height = 12cm
r= 1/3r (cause it's given 1/3 of radius of the original cone)
We know that volume of a cone is = 1/3 pi (r)^2 h
Now substitute the values:
1/3 * pi* (1/3r)^2 * 12
when u simplify u will get
pi* 1/9*r*4 = 4/9 pi r
So, the answer is probably 4/9 pi r.
which expression is equivalent to 16 + 2 x 36?
Hey there!
16 + 2 * 36
= 16 + 36 * 2
= 16 + 36 + 36
= 16 + 2 * 6^2
= 16 + 72
= 88
Thus, your answers could possibly be:
• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
® Incorrect
Which would show that FGHI is a parallelogram? Select all that apply.
Answer:
FGHI is a Parallelogram
Question 2 (5 points)
(03.03, 03.06 MC)
What is the equation of the line that passes through the points (-2, 3) and (2, 7)? (5 points)
оа
x-y=-1
Ob
X-y=-2
Ос
x - y = -5
Od
X-y= -6
Answer:
[tex]x - y + 5 = 0[/tex]
Step-by-step explanation:
Given:
Line passes through (-2,3) and (2,7)Required:
Find the equation of the lineThe equation of the line passing through two points is given by
[tex]\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }[/tex]
So, [tex]\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]
Now, [tex]y-3 = x+2[/tex]
On rearranging,
[tex]x - y + 3 + 2 = 0x - y + 5 = 0[/tex]
Therefore, the equation of the line is [tex]x - y + 5 = 0.[/tex]
What is the probability that the sequence is guessed on the first try? startfraction 1 over 24 endfraction one-eighth one-fourth one-third
The probability that the sequence is guessed on the first try is 1/24
How to determine the probability?The given parameters are:
Colors = 4
Selection = 3
The first color can be selected from any of the 4, the second can be selected from any of the remaining 3 and the third can be selected from any of the remaining 2.
So, the number of sequence is:
Sequence = 4 * 3 * 2
This gives
Sequence = 24
Only one of these sequence is correct
Hence, the probability that the sequence is guessed on the first try is 1/24
Read more about probability at:
https://brainly.com/question/251701
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) and passes through the point (−2, −2)? y = –two-thirdsx – ten-thirds y = –two-thirdsx ten-thirds y = three-halvesx – 1 y = three-halvesx 1
The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Equation of a line in slope-intecept form?The equation of a lins is a linear equation and expressed as:
y = mx + b
m is the slope
b is the y-intercept
Determine the equation in point slope form
y - y1 = -1/m(x - x1)
y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)
Write in slope-intercept form
2(y+2) = 3(x+2)
2y + 4 = 3x + 6
2y = 3x - 2
y = 3/2x - 1
Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Learn more on equation of aline here: https://brainly.com/question/7098341
A small dog eats 3/4 of a cup of dog food twice a day. Using d for the numbers of days and f for the amount of food write an equation relating variables
Answer:
f = food variable
d = number of days
Equation: f = 1.5d
Nina signs an)
for her new apartment for a one-year term at $800 a month rent
Answer:
she would pay 9,600 for 12 months
Step-by-step explanation:
12x800=9,600
Plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/3
Answer:
Step-by-step explanation:
If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).
What is dilation?The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.
How to plot image?We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,
The x value after dilation will be 3/1/3=9
The y value after dilation will be -6/1/3=-18.
Hence the coordinates of A after dilation are (9,-18).
Learn more about dilation at https://brainly.com/question/3457976
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please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
12+y
Step-by-step explanation:
Given,
a=6
b=6
c=y
Perimeter of triangle= sum of all sides of triangle
= 6+6+y
= 12+y
Answer:
Step-by-step explanation:
Perimeter is the length of any closed figure. So for a triangle, the Perimeter is equal to P = a + b + c.
You are told that the triangle is isosceles which means it has 2 equal. You are to presume that the third side is not equal to the other 2.
a= 6
b = 6
c = y
Perimeter = a + b + y
Perimeter = 6 + 6 + y
Perimeter = 12 + y
You cannot go any further. There is no way to reduce it any further.
What is 3.2×103 in standard form?
Answer:3200
Step-by-step explanation:
(20 POINTS AND BRAINLIEST) What is the area of the shaded region?
Type only the numeric answer
Answer:
59 square inches.
Step-by-step explanation:
Equation for area of whole, large triangle:
A = 1/2(b)(h)
A = 1/2(13)(14)
A = 91 square inches
Equation for area of tiny, white triangle:
A = 1/2(b)(h)
A = 1/2(8)(8)
A = 32 square inches
Equation to find the area of the shaded region:
A = 91 - 32
A = 59 square inches
Answer:
64
Step-by-step explanation:
It's 64 because the area is the inside and 8 x 8 = 64.
At a high school, the ages of all employees during the last ten years are normally distributed. It has been calculated that 95.4% of the ages fall between 22.1 and 53.9 years. What is the standard deviation of the data?
A: 4.85 yr
B: 7.95 yr
C: 9.7 yr
D: 15.9 yr
Answer:
I'm sorry for trolling you, but ur mom
Step-by-step explanation:
Help. Please!!! 30 points
I don't understand this and serval people have got it wrong.
[tex]\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}[/tex]
Find the value of x. Round your answer to the nearest tenth
[tex]x=13.8[/tex]
Step-by-step explanation:
Since the triangle is right use the tangent ratio to solve for x[tex]tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}[/tex]
Multiply both sides by [tex]x[/tex]x × [tex]tan41^o=12[/tex] ( divide both sides by [tex]tan41^o[/tex] )
x = ≈ ( nearest tenth )
Please help with this never good at it
Answer:
396
Step-by-step explanation:
Divide 3168 by 8 and your answer is 396.