Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?

Answers

Answer 1

9514 1404 393

Answer:

white: $8double: $13

Step-by-step explanation:

Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.

  6w +12d = 204 . . . . . . Ryan's sale

  7w +7d = 147 . . . . . . . . Cody's sale

We can divide out the common factor to put these equations into standard form:

  w +2d = 34

  w +d = 21

Subtracting the second of these equations from the first, we get ...

  (w +2d) -(w +d) = (34) -(21)

  d = 13

Using the second equation, we can find w:

  w = 21 -d = 21 -13 = 8

The costs of the chocolate chip cookie dough packages are ...

  white: $8

  double: $13


Related Questions

(x-2)/(x+1)=1/2 . find x​

Answers

Answer:

x=5

Step-by-step explanation:

(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b

2*(x-2) = 1* (x+1), distribute multiplication over subtraction

2x -4 = x +1 , subtract x and add 4 to both sides

2x -x = 1 +4, combine like terms

x = 5

Answer: x = 5

Solve:

Given

(x - 2) / (x + 1) = 1/2

Cross multiply applied

1 (x + 1) = 2 (x - 2)

Expand parentheses and apply the distributive property

x + 1 = 2x - 4

Add 4 on both sides

x + 1 + 4 = 2x - 4 + 4

x + 5 = 2x

Subtract x on both sides

x + 5 - x = 2x - x

x = 5

Check:

Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2

Right-hand side = 1/2

1/2 = 1/2

Hope this helps!! :)

Please let me know if you have any questions

Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely

Answers

Step-by-step explanation:

1) 5a+4b-3a-7b+4a

Add terms having 'a' and 'b' separately

=6a-3b

Now subtitute values of a and b :

=6(-3)-3(4)

=-18-12

=-30

2)c(6-b)-c²

=6c-bc-c²

Subtitute values of b and c:

= 6(-2)-(5)(-2)-(-2)²

=-12+10-4

=-6

3)5x²-2xy+3y

Subtitute values of x and y:

=5(-5)²-2(-5)(-2)+3(-2)

=5(25)-20-6

=125-20-6

=99

4)-k²-(7k-4m)

Subtitute values of m and k:

=-(-2)²-{7(-2)-4(4)}

=-4-(-14-16)

=-4-(-30)

=-4+30

=26

5)3(6x+5y)-2y

Subtitute values of x and y:

=3{6(3)+5(-3)}-2(-2)

=3(18-15)+4

=3(3)+4

=9+4

=13

6)5(3m-n)-4(2m-n)

Subtitue values of m and n:

=5{5(-8)-(-11)}-4{2(-8)-(-11)}

=5(-40+11)-4(-16+11)

=5(-29)-4(-5)

=-145+20

=-125

Note:If you have any question about it you can friendly ask.Thanks

In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?​

Answers

baiiiiwiedujjjdjdhsb20

simplify the following ;giving your answers in index form

Answers

Answer:

[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]

PLEASE HELP FAST

bx = -5

Answers

the answer i got was b= -5/x

a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T​

Answers

Answer:

12 workers are required to complete the work in 12 days

What is the area of a triangle if height is 4cm find the base also plsss help me please

Answers

Answer:

This is the formula u can use but the parameters are not complete

Step-by-step explanation:

b=2 A/h

Answer:

8 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 4 * 4

= 8.

Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.

Answers

Answer:

The mixture for Brand A fruit is 5%.

A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??​

Answers

Answer:

$31,598.33

Step-by-step explanation:

she worked 4+5=9 days.

due the total average we need the total of sales and divide it by the length of the observation period (9 days).

how much did she sell in total on the first 4 days ?

well, the average times 4 = 32130×4 = $128520

how much did she sell in total during the following 5 days ?

31173×5 = $155865

so, the daily average is

($128520 + $155865) / 9 =$284385 / 9 = $31,598.33

Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL​

Answers

Answer:

D.(CDL)

Step-by-step explanation:

Answer:

CDL

Step-by-step explanation:

C is 100

D is 500

500-100=400

L is 50

400+50=450

can someone please help me with this?

Answers

Answer:

These are the missing numbers

Sec1

A. 12, 29/2, 17 (arithmetic)

C. 3/16, 3/32, 3/64 (geometric)

D. 17, 33, 65 (neither)

Sec2

A. 8, 48 (growth)

B. 16, 32 (growth)

C. 1, 2 (rate)

Step-by-step explanation:

Section 1

A. add by 2.5 or 5/2

C. multiply by 1/2

D. double the value-added

Section2

A & B. multiply by 2

C. add 1/2

geometry #1 please will give brainliest

Answers

Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4

Answers

you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .

Ans X=11.5

Y = -39

8x+2y=14 eqn.......1

82+2y=4 eqn .......2

2y= -78 (4-82)

y = - 39

putting value of y in eqn ..1

we get,

8x+ 2×(-39) =14

8x= 14+78

8x=92

x = 92÷8

x=11.5

it's a subtition method..

How do you make these diagrams??

Answers

Answer:

a. ▲▲△

b. ▲▲▲▲▲▲▲▲▲△△△△△△△

c.▲▲▲▲▲▲ △△△

How many solutions are there to the equation below?
6x+8 - 2x(7 - 2) = 2(6+1)
A. 0
B. 1
C. infinitely many

Answers

Answer:

B one solution

Step-by-step explanation:

Answer:

B - one solution

Step-by-step explanation:

6x+8−2x(7−2)=2(6+1)

Subtract 2 from 7 to get 5.

6x+8−2x×5=2(6+1)

Multiply 2 and 5 to get 10.

6x+8−10x=2(6+1)

Combine 6x and −10x to get −4x.

−4x+8=2(6+1)

Add 6 and 1 to get 7.

−4x+8=2×7

Multiply 2 and 7 to get 14.

−4x+8=14

Subtract 8 from both sides.

−4x=14−8

Subtract 8 from 14 to get 6.

−4x=6

Divide both sides by −4.

x=−46

Reduce the fraction −46 to lowest terms by extracting and canceling out 2.

x=−23

hope it helps :)

Find the measures of unknown angles.​

Answers

Answer:

hope this helps you

god bless you

A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260

If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?

Answers

Step-by-step explanation:

by deleted user on here.

Bananas are $0.59/pound what is the constant of proportionality?

Answers

Answer:

Step-by-step explanation:

y = k x

Total cost = y

number of pounds = x

constant = 0.59

Equation

y = 0.59 x

Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2
A. 8.5
B. 7.5
C. -7.5
D. 7m

Answers

Answer: B

Step-by-step explanation:

4.5+6=10.5

2 1/2 - 5 1/2 = 2.5 - 5.5 = -3

10.5 - 3 = 7.5

I need help dont just add both numbers ill give extra hundrend after you answer

Answers

Answer:

28

Step-by-step explanation:

According to the question,

2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76

Let x represent cost of football and let y equal cost of helmet.

Write the system of equations,

[tex]x +2 y = 80[/tex]

[tex]2x + y = 76[/tex]

Eliminate the x variable by multiplying the top equation by -2

[tex] - 2x - 4y = - 160[/tex]

[tex]2x + y = 76[/tex]

Add both equations.

[tex] - 3y = - 84[/tex]

[tex]y = 28[/tex]

So one helmet cost $28

1. The volume of a cube is 27 cubic inches. How long is its side? 3​

Answers

If I'm not wrong, it should be 27cm^3. Hope this helps!!

Answer:

3

Step-by-step explanation:

[tex]\sqrt[3]{27}[/tex]

I'm backk!! School has officially started... here we go again

+*♡ FREE QUESTION!! ♡*+

Answers

welcome back ________!!!

congrats? Im not sure what to say.

find x step by step ​

Answers

Answer:

[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]

Answer:

x = 11 cm

Step-by-step explanation:

Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.

[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]

Corresponding sides are in proportion, so

[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]

The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so

[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]

"Cross multiply" to get

[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:

The first choice.

Step-by-step explanation:

It pass through the x axis at x = 3, so a factor must be (x - 3).

Answer:

The first option is correct :)

~Hope this helps

what is 2 ÷ 3 = as a fraction???

Answers

Answer:

[tex]2 \div 3 \\ \frac{2}{3} [/tex]

Decimal:2 ÷ 3 = 0.6666666

Fraction:2 ÷ 3 = [tex]\frac {2}{3} [/tex]

plz help!! will mark brainliest

Answers

Step-by-step explanation:

x + 4 + 3x = 72 Let's agroup all the x

4x + 4 = 72 Subtract 4 on both sides

4x = 68 Divide both sides by 4

x = 17

x + 3 + x – 8 + x = 55 Let's agroup all the x

3x + 3 – 8 = 55 Solve 3 – 8

3x – 5 = 55 Add 5 on both sides

3x = 60 divide both sides by 3

x = 20

Name a pair of adjacent complementary angles​

Answers

9514 1404 393

Answer:

  ∠LJM and ∠MJN

Step-by-step explanation:

Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...

  ∠LJM and ∠MJN

[tex]f(x) = 2x^{2} +5x-2[/tex]

Answers

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

4 ÷ 1 1/8 Answer must be in simplest form​

Answers

Answer:

4÷ 1 1 /8 =  32 /9 =  3 5 /9

How do you simplify a fraction with a denominator of a variable like this
6x/x

Answers

Step-by-step explanation:

The x's will simply cancel each other out and you will be left with a 6

hope it makes sense

:)

Other Questions
3 2/9 - 2 1/2 pls help me I stuck it it due today For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.Please write the equation and solve it. Thank youFirst person to answer will get brainliest Which sentences contain split infinitives? Check all that apply.I hope to quickly finish the worksheets so that I can study for the quiz.To get the most out of the class, you should plan to attend all the field trips.We would like to go to a movie over the weekend.Olivia and Jayson plan to compete in the chess tournament.The dancers must take time to completely warm up before the performance. I NEED SOMEONE TO ANSWER THIS QUESTIONMrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided.If 20% percent want an ice cream party, how many students are in the class Based on the graph, we can predict that the global population today has 1. Why did Americans move out west during the 1800s? Evaluate the expression when x = 6 and y = -4. 6x - 5y Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown Through _ plants move enormous quantitiesof water from soil to air . Fill in the blank with the French word that best completes the sentence.Maria likesthe tango.O danserO nagerO chanterOcouter How many terms are in the expression 5m2 - mn + 4n + 7?432 Click on all of the numbers that make the comparison true.8.32 >A 8.058B. 8.492C. 8.41D. 8.28E. 8.1F. 8.3 One of the criticisms raised against Utilitarianism is that the utilitarian standard sometimes conflicts with justice, meaning that some particular act might be right according to the utilitarian standard while at the same time being unjust. T or F Your best friend in another town has joined grade eleven this year. S/he is also studying through virtual medium like you. Write a letter to him/her sharing your experiences and suggest him/her some valuable conducts of students during online classes to make learning effective. ReligionIslam Judaism ChristianityFounderMain Holy BookMain Beliefs Find the coordinates of the midpoint M of ST s(-2,4) t(3,9) Lisa watched a horror movie at the cinema in the shopping mall. She thendescribed the movie to Juanita, who met her after the movie. Which of theseactions shows that Lisa engaged in communication with Juanita?Juanita watched the trailer to the movie on her phone.Juanita read a review of the movie in the newspaper.Juanita shuddered at Lisa's description of a scene.Juanita searched online for directions to the cinema. which point is a solution to the following system: y=-3x-13x+2y=4 Q9. Alice worked 52 hours this week. She gets paid $9.35 per hour for thefirst 40 hours and then gets time-and-a-half for the rest of the time. Howmuch money did she make this week? How has farming had an impact on the environment.