Please, help! 20 points
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.
x + s = 79 1.36(x) + 1.65(s) = 118.17
(b) Solve the systems of equations from part a.
(c) Whose class sold more items?
(d) Which class earned more money?

Answers

Answer 1

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.

Learn more about the system of equations here;

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Related Questions

If x =3+2 root 2 find x - 1/x​

Answers

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]


Please help convert this from quadratic form to vertex form
Please show all steps thank you so much!!!

Answers

Answer:

[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 value of x. Round your answer to the nearest tenth

Answers

[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 )

Nina signs an)
for her new apartment for a one-year term at $800 a month rent

Answers

Answer:

she would pay 9,600 for 12 months

Step-by-step explanation:

12x800=9,600

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

Answers

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 line

The 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]

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

Answers

The answer would be $910.56

® Incorrect
Which would show that FGHI is a parallelogram? Select all that apply.

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Answer:

FGHI is a Parallelogram

Need help ASAP! TYSM! Simplify 4√6/√30. Show steps.

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Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

answer

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sry hope this helps

Answer:

4√5/5

Step-by-step explanation:

yw :)

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Answers

A
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which expression is equivalent to 16 + 2 x 36?

Answers

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:)

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Answers

[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]

Please help with this never good at it

Answers

Answer:

396

Step-by-step explanation:

Divide 3168 by 8 and your answer is 396.

What is the probability that the sequence is guessed on the first try? startfraction 1 over 24 endfraction one-eighth one-fourth one-third

Answers

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

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https://brainly.com/question/251701

Solve this problem:
2x-6=-3(5-x)

Answers

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.

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                           3.)        9 = x

Darin wants to put a fence around his garden how much fencing should he buy.

Answers

Answer:

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Step-by-step explanation:

There is really any information to help solve this problem

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?

Answers

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]

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Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval

What is 3.2×103 in standard form?

Answers

Answer:3200

Step-by-step explanation:

(20 POINTS AND BRAINLIEST) What is the area of the shaded region?

Type only the numeric answer

Answers

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.

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

Answers

Answer:

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Find the surface area of the rectangular prism (above) using its net (below).

Answers

Answer:

48 units sq

Step-by-step explanation:

Find the area of each square/rectangle

2x2

2x5

2x5

2x5

2x2

2x5

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Answers

Answer:3.5

Step-by-step explanation: Check file

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.

Answers

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.

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

Answers

Answer:

I'm sorry for trolling you, but ur mom

Step-by-step explanation:

Plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/3

Answers

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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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

Answers

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

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

Answers

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

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

Answers

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.

please help me I will give BRAINLY , 5 STARS and a THANKS

Answers

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.

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

Answers

Volume of cube = a³

Volume = 6³ dm³

Volume = 216 dm³

Volume of rectangular prism = L × W × H

Volume = 10 × 8 × 6 cm³

Volume = 480 cm³

Volume of pyramid = 1/3 base area × h

Volume = 1/3 × 14 × 17 × 12.86 cm³

Volume = 1020.226 cm³

Volume of Cylinder = πr²h

Volume = 3.14 ×6.5² × 5 m³

Volume = 663.325 m³

Volume of Cone = 1/3 πr²h

volume = 1/3 × 18.5² × 16 cm³

Volume = 1825.3 cm³

Volume of Sphere = 4/3 πr³

Volume = 4/3 ×3.14 × 7³ m³

Volume = 1436.026 m³

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