The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158. During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804. How much are they charging for the different sized gift baskets?

Answers

Answer 1

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42


Related Questions

how do you show your work on solving 4794 divided by 22​

Answers

The answer is 217 with a remainder of 20.

explanation is in the picture.

1 Grade 6 Math Problem. WORTH 10 POINTS EACH!!
I have the answer but not the steps, so PLEASE EXPLAIN STEPS!!!!

Answers

Answer:

[tex]\frac{11}{6} y[/tex]  

Step-by-step explanation:

Since they all have y as the variable, you can simply add the coefficients (number in front of the variable) together. (y = 1y)

[tex]\frac{2}{3} + \frac{1}{6} + 1 = \frac{4}{6} + \frac{1}{6} + \frac{6}{6} = \frac{11}{6}[/tex] or [tex]1\frac{5}{6}[/tex]

Glen buys four tickets for a concert. Each ticket costs £54 Glen also has to pay a booking fee.
The booking fee is 5% of the total price of the tickets.
Work out the total amount Glen has to pay.Povinná odpověď. Jednořádkový text.

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Maths.

Cost of each ticket = £54

Glen purchased tickets= 4

total cost of tickets alone = 54*4 =£216

now calculation of the 5% tax of the tickets,

5/100 * 216 = £ 10.8

hence the total amount Glen has to pay is

=> 216+10.8 = £226.8

Answer:

51.30

Step-by-step explanation:

5% of 54$ is 51.30

help plzz WILL MARK BRAINLIST

Answers

Answer:

224

Step-by-step explanation:

Given

f(x) = 4x² - 4x

f(-7) = 4 * (-7)² - 4 * (-7)

= 196 + 28

= 224

Hope it will help :)

The answer is 224. Explanation

HELP ASAP PLS

Without using a calculator order the following numbers from least to greatest

8 √58 7

Answers

Answer:

7, √58, 8

Step-by-step explanation:

7 x 7 = 49

8 X 8 = 64

49, 58, 64

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics.

Applying the simple squares of 7 and 8.

7*7= 49 and 8*8=64

hence square root 58 is more than 7 but less than 8

hence we get as,

[tex]7 < \sqrt{58 } < 8[/tex]

Cole has already taken 7 quizzes during past quarters, and he expects to have 1 quiz during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y.

Answers

Answer:

y = x + 7

Step-by-step explanation:

x = number of weeks

y = the total number of quizzes y.

Cole has already taken 7 quizzes = + 7

he expects to have 1 quiz during each week of this quarter = 1x

y = 1x + 7

y = x + 7

rick believes the two expressions 4(3a-3) +2a and 14a-3 are equivalent. is he correct? explain why or why not?

Answers

12a-12+2a = 14a-3
14a-12 = 14a-3

So he’s not correct.

Answer:

no

Step-by-step explanation:

4(3a-3)+2a when you expand youget

((4x3a)-(4x3)) + 2a = 12a - 12 + 2a then we collect the like term first 12a + 2a - 12

14a -12

therefore 14a - 12 is not equal to 14a- 3

pls, help im in middle school not high school please answer these two questions.

Answers

200+200,000=200,200

Step-by-step explanation:

1/10 of 2000 is 200 pounds. 200 Pounds of cheese

100 times more lettuce than beef. 200,000 Pounds

Answer:

Lettuce:20 lbs, Cheese:200 lbs

Step-by-step explanation:

Divide. If 1 tenth of the beef is cheese, divide by 10.If 1 hundredth of the beef is lettuce,divide by 100. 2000/10 Is 200, 2000/100 is 20.

Solve the system of equations by the substitution method

Answers

Answer:

2x+4y=8 => y= -1/2x+2x+(10(-1/2x+2))=36 -5x+x+20=36 -4x=16x=-4 x=-4 y= 0I do exams and quizzes if your interested

Will give brainliest!

Answers

Answer:

The number of values we can get on a standard number cube is 1,2,3,4,5,6 - and so 6 values.

Step-by-step explanation:

Find the scale factor
A. 3
B. 1/3
C. 3/3

Answers

Answer:

B

Step-by-step explanation:

15/45 = 1/3

simplify [-4+(-3)]+3​

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Basically inside the paranthesis first is -4 plus -3 which is -7. And than add that by 3 and it is -4.

Which expressions are equivalent to 5^12 ⋅ 5^8
Choose 2 answers:

A
25^20
B
(25^5)^4
C
(5^3 ⋅ 5^2)^4
D
(5^5)^4

Answers

Answer:

It’s C and D

Step-by-step explanation:

Samir had 30 dollars to spend on 3 gifts. He spent 9
9
10
dollars on gift A and 5
3
5
dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

Gift 1 ($9) Gift 2 ($10)

Step-by-step explanation:

First we know that Samir had 30 dollars to spend on 3 gifts. If he bought gift 1 for $9, and gift 2 for $10. Then Samir should have $11 for gift 3 that he can spend.

9+10=$19,  $30-19=$11 Hope This helps! Mark Brainllest if it is correct!

Hence, the money did he have left for gift C is [tex]15.5[/tex].

What is the simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter), for example Simplification of a fraction to an irreducible fraction.

Here given that,

Samir had [tex]30[/tex] dollars to spend on [tex]3[/tex] gifts. He spent  [tex]9.\frac{9}{10}[/tex] dollars on gift A and  [tex]4.\frac{3}{5}[/tex]  dollars on gift B.

So,

[tex]A=9.\frac{9}{10}\\\\A=\frac{90+9}{10}\\\\A=\frac{99}{10}\\\\A=9.9[/tex]

[tex]B=4.\frac{3}{5}\\\\B=\frac{20+3}{5}\\\\B=\frac{23}{5}\\\\B=4.6[/tex]

To find out the money did he have left for gift C is

[tex]A+B+C=G[/tex]

Here,

[tex]A=9.9\\B=4.6\\G=30[/tex]

Then,

[tex]9.9+4.6+C=30\\\\C=30-9.9-4.6\\\\C=30-14.5\\\\C=15.5[/tex]

Hence, the money did he have left for gift C is [tex]15.5[/tex].

To know more about the simplification

https://brainly.com/question/12795317

#SPJ2

WHAT WOULD THIS BEEEEE!!

Answers

Answer:

the first two are IRRATIONAL, the last 2 are RATIONAL

Step-by-step explanation:

Irrational numbers are not numbers that are properly expressed with regular digits, like 7. They look like they're being divided!

Answer: Rational numbers are squared 225 and 7.478478 and irrational is squared 23 and 1.010001000...

Step-by-step explanation:

I hope this helps you lad

Stay safe and stay awesome :D

PLEASE HRLP EAsY 10 pOiNtS

Answers

it would be y = -4x-5

Sheet 3
Functions - Ordered Pairs
A) State whether each set of ordered pairs represents a function.
1) {(0, 2), (15,-2), (3,7), (2,5),(-2,-4), (1,7), (-11,7)}
2) {(-11, -2), (20, 15),(-12,0), (19,-13)}
I
3) ((16,-4), (9,-1), (3,-2), (8, -1), (13,0), (-17, 16)}
4) {(-8, -13), (-7,3), (5, -9), (-7, 18), (4,3), (0, -10)}

Answers

Answer:

1) Yes

2) Yes

3) Yes

4) No

Step-by-step explanation:

A function has to have points that do not share a domain (x-coordinate). All of the options meet this requirement other then option 4.

Hope it helps!

Describe what a finite graph is and give an example of how a finite graph would be used to represent something.

Answers

Answer:

A graph with a set amount of numbers.

Step-by-step explanation:

Infinite means never ending and that's what most graphs are. But, a finite graph is a graph that doesn't have arrows at the end of the lines. (simplified answer) A better way of saying it is a graph with a fixed starting position and a fixed ending position. You can use this type of graph if you don't want to go over or under a certain value.

Hope this helps!

What is the answer to this question it is urgent

Answers

the answer is D scnagntwhwth

After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents how many granola bars each student has?

Answers

Answer:

40/s

Step-by-step explanation:

Number of granola boxes = 5

Number of granola per box = 8

Total granolas = 8 * 5 = 40 granola bars

Number of students = s

If each students takes equal share : Number if granola bars taken by each :

Total number of granola bars / number of students

= 40 ÷ s

40/s

can soemone hlep me pls i give brainlist and points

Answers

Answer:

532+50pi

or exact: 689.08

Step-by-step explanation:

listen
On his vacation, Jason rented a bike for h hours at the rate of $7.50 per hour. The equation
$7.50h = $37.50 can be used to find how many hours he rented the bike. For how many
hours did Jason rent the bike?

Answers

Answer:

Jason rented the bike for 5 hours

Step-by-step explanation:

37.50÷7.50=5

Please help this was due yesterday!

Answers

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

please help me with this!!

Answers

Answer:

group b

Step-by-step explanation:

because group a got 7.5 kg of berries in total and group b got 8.25 and 8.25>7,5

Is my answer right? if not can you please show me the correct answer

Answers

No it is a =9 is correct

Answer: No, is a=9

Step-by-step explanation:

y= 2x - 4
y= 2x + 4
y= -1/2x -4
y= 1/2x+4

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

1 square down 2 square to the side you put that in a fraction 1/2 which is the gradient and the y-intercept is what passes through y which is 4

What is the value of x?

Answers

Answer:

square root of 72

or 3 to the square root of 8

Step-by-step explanation:

if 180-46 180-134 = 46 but the answer isnt 46, so i know im doing something wrong but i don’t remember how to solve these.

Answers

Answer:

67

Step-by-step explanation:

Because the triangle is an isosceles triangle so the math would be (180-46)/2=67

the function 8x^2-9x-148x 2 −9x−14 divided by x-2x−2

Answers

Answer:

8x + 7

Step-by-step explanation:

8x² - 9x - 14  divided by x - 2

(8x² - 9x - 14)/(x - 2)(8x² - 16x + 7x - 14)/(x - 2)=(8x(x - 2) + 7(x - 2))/(x - 2) =8x(x - 2)/(x - 2) + 7(x - 2)/(x - 2) =8x + 7

Which expression would be equivalent if you expanded −2(−8x+12y)?

Answers

Answer:

16x-24y

Step-by-step explanation:

Answer:

it would be

Step-by-step explanation:

get back to your test =] sincerly daddy bri

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