FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer 1

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27


Related Questions

write the number seventeen thousand and forty-eight in figures

Answers

Answer:

17 048

hi lets be freinds pleeease

Step-by-step explanation:

Seventeen thousand is 17,000 ( 5 figures)
Fourth eight is 48 (2 figures)
add them up 17,000+48 = 17048

A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?

Answers

6/7 is the volume of the glass

Answer: 74.2857143 milliliters

Step-by-step explanation:

65cm3 + 9.28571429 milliliters = 74.2857143 milliliters

There are 20 pieces of fruit in a fruit bowi and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

Answer:60 %

Step-by-step explanation:

if we set up an proportion, [tex]\frac{20}{100}[/tex] =[tex]\frac{12}{x}[/tex] the answer is 60. 100x12=12001200 divded by 20 =60

Promise Easy Points
Calculate the average monthly expenses for these individuals?

Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____

Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____

Answers

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

What is the average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Find a formula for the area of the figure in terms of s.

Answers

Answer:

D. is √3/2 s^2

The area of the given triangle is (√3/6) s² so option (C) will be correct.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Area of right angle triangle ;

A = (1/2) × Base × Hight

Tan 30° = height/s

1/√3 = height/s

height = s/√3

Now,

A = (1/2) × s × s/√3

A = 1/(2√3)  × s²

Multiply √3 on numerator and denominator

A = √3/6 × s²

Hence "The area of the given triangle is (√3/6) s²".

For more about triangles,

https://brainly.com/question/2773823

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PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS

Answers

Answer:

122

Step-by-step explanation:

x = 180-(180-50-72) = 180-(130 - 72) = 180 - 130 + 72 = 50 + 72 = 122

add 50+72 and it will give you 122 and the triangle should be uhhh hang on gosh this is hard to remember, um 180 I believe so if you do 180-122 it will give you 58. Now you do 180 -58 because of the °180 line and I believe and it will give you 122 for the missing x but don't take my word on it cause I'm not sure if it's right but that's what I remember

You have a loan for $200,000 at 8.5% annual simple interest.what is your monthly interest payment

Answers

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

The loan amount is $200,000.The rate of interest is 8.5%.We need to find out the monthly interest payment.

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

Learn more: brainly.com/question/13324776

Pls help me question is above, pls give the correct answer:)

Answers

Answer:

A'=(5,1)

Step-by-step explanation:

Rotations

Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.

The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).

The image attached below shows both points

PLEASE HELP i have by the end of the day to turn this in PLEASE DO NOT GUESS :)

Answers

Answer:

x=101

Step-by-step explanation:

the missing angle and the outside angle have to equal 180 so

148-180= 32

then add 32+47 and subtract by 180 and that's your answer

Can someone please help me out?

Answers

9514 1404 393

Answer:

  64°

Step-by-step explanation:

y° and the angle marked 64° are "alternate interior angles", so are congruent.

  y° = 64°

If 5.5 pounds of grapes cost $10, what is the unit rate in price per pound?

Answers

Answer:

$1.82 per pound

Step-by-step explanation:

HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: All expect cos of theta=17/8

Step-by-step explanation: Fist, let find a equal cos equation. let use the idenitiy([tex]cos^{2}[/tex]Ф+[tex]sin^{2}[/tex]Ф=1.  [tex]cos^{2}[/tex]+15/17^2=1, [tex]cos^{2}[/tex]=1-225/289. [tex]cos^{2}[/tex]=289/289-225/289.  [tex]cos^{2}[/tex]=64/289. sqr root of [tex]cos^{2}[/tex]= 8/17.  

Using Other Formulas, Since secant is the reciprocal of cosine. sec(theta)=17/8.   since cosecant is the inverse of sin.  csc(theta)=17/15.

Using the formula sin x/cos x= tan x , [tex]\frac{15}{17}[/tex]=[tex]\frac{8}{17}[/tex] =15/8.

Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam

Answers

The answer would be 25

What are the X- and y-intercepts for the graph of the equation y = 4 - 2x ?​

Answers

Answer:

The x intercept is (2,0)

The y intercept is (0,4)

Step-by-step explanation:

y = 4 - 2x

To find the x intercept, let y =0 and solve for x

0 = 4 - 2x

Subtract 4 from each side

-4 = -2x

Divide by -2

-4/-2 = -2x/-2

2 =x

The x intercept is (2,0)

To find the y intercept, let x =0 and solve for y

y = 4 - 2*0

y = 4

The y intercept is (0,4)

Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?
A. 2.185 seconds
B. 2.285 seconds
C. 29.692 seconds
D. 55.805 seconds

Answers

Answer:

B

Step-by-step explanation:

B because 29.07 - 26.785 = 2.285

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport

Answers

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

Do Now
The ratio of girls to boys in a classroom is 3.1. How many boys are there in the classroom if
it has 12 girlS

Answers

Answer: 4

Step-by-step explanation:

To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4

Hope this helps ;)

Answer:

4 boys

Step-by-step explanation:

3:1 is the ratio of girls to boys

Lets girls be g and boys be b

G=3

B=1

G=12     12/3=4 and what you do to one side you do to the other it is multiplied by 4 so

B=1 time 4 =4

The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?

Answers

Answer:

6366.4213

Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.

write 56
as the product of prime factors ​

Answers

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

Yalguun earns 3.5% simple interest annually. She deposits $1050 into a bank account. How much interest will she make on her account after 9 years?

Answers

Answer:

Step-by-step explanation:

To use the simple interest formula, I = Prt, we substitute in the values for variables that are ... The rate of interest is usually expressed as a percent per year, and is calculated by ... Nathaly deposited $12,500 in her bank account where it will earn 4% interest. ... How much interest did she earn in 5 years

An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would he weigh on Pluto?

Answers

Answer:

16 I believe. 240 divided by 15 is 16.

plzzzzzzzzzzzzzzz helopppppppp

Answers

Answer:

Formula is [tex]\pi[/tex]r^2h/3

Volume 549.78

Step-by-step explanation:

which is [tex]\pi[/tex] multiplied by 5^2 the radius multiplied by 21/3 the height equals 549.78

Which expression has a solution of 5, if r = 3?

Answers

Answer:

i need a picture

Step-by-step explanation:

Lily spent $190 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 12 then how many of each kind did she buy?

Answers

Answer:

7 fancy shirts and 5 plain shirts

Step-by-step explanation:

f and p are the numbers of fancy and plain shirts

f+p = 12

p = 12-f

20f + 10p = 190

20f + 10(12-f) = 190

20f + 120 - 10f = 190

10f = 70

f = 7

p = 12-f = 5

Cos 315°=what?????????????

Answers

cos 315 degrees=0.70710678118 if you want the fraction it is 70710678118/
100000000000

Answer:

√2/2 or 0.70710678118

Step-by-step explanation:

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more people, a group discount applies, and the cost is $20.00 per person along with the service charge dropping to $59.00. (a) Write a piecewise-defined linear function which calculates the total cost T of the catering service which serves n people.

Answers

Answer:

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex].

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50  

Let the total cost of the restaurant be T

Cost for this case will be T1  

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex]

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.  

Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape​

Answers

9514 1404 393

Answer:

 13 : 33

Step-by-step explanation:

  hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?​I want this answer it percentage

Answers

Answer:

27 cupcakes left

In percentage of the number of cupcakes left after she ate 4 = 75%

In percentage of the total number of cupcakes she baked = 67.5%

Step-by-step explanation:

Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder

= 40 - 4

= 36 cupcakes

If she gave 25% of the remaining, the number of cupcakes given

= 25% * 36

= 25/100 * 36

= 9 cupcakes

the number of cupcakes left

= 36 - 9

= 27 cupcakes

In percentage of the number of cupcakes left after she ate 4, this will be

= 100% - 25%

= 75%

In percentage of the total number of cupcakes she baked

= 27/40 * 100%

= 67.5%

Match the graph
with its inequality.

Answers

Answer:

The answer is A because all points less than -3 are shaded

Subtract 9/10-2/5 what is the answer?

Answers

Answer:

[tex]★\:\: \frac{9}{10} -\frac{2}{5}\\ = \frac{9}{10}- \frac{4}{10} \\ = \frac{(9 - 4)}{10} \\ = \frac{5}{10} \\ = \boxed{ \frac{1}{2}}✓ [/tex]

1/2 is the right answer.
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