1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ratling [72]
2 years ago
15

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The n

ext week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?
Mathematics
1 answer:
Evgen [1.6K]2 years ago
4 0

Answer:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

Step-by-step explanation:

Let us represent:

Cost of Wedding cakes = x

Cost of Birthday cakes = y

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.

2x + 5y = 500..... Equation 1

The next week they made 1 wedding cake and 7 birthday cakes but only made $430.

x + 7y = 430..... Equation 2

x = 430 - 7y

We substitute 430 - 7y for x in Equation 1

2x + 5y = 500..... Equation 1

2(430 - 7y ) + 5y = 500

860 - 14y + 5y = 500

860 - 500 = 14y - 5y

360 = 9y

y = 360/9

y = $40

Solving for x

x = 430 - 7y

x = 430 - 7(40)

x = 430 - 280

x = $150

Therefore:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

You might be interested in
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
What is 5/8 to the lowest fraction?
neonofarm [45]
5/8 is the lowest fraction. It can not be simplified anymore
3 0
3 years ago
To thase who missed the other ones 4+5-6/7*8-7
hoa [83]

Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

4 0
3 years ago
Read 2 more answers
Write the ratio in simplest form: 27 red markers to 12 blue markers
elena-14-01-66 [18.8K]
What do you mean by this? Do you have a picture
6 0
3 years ago
3a+5b/3c-5d =3a -5b/3c- 5d​
jenyasd209 [6]

Answer:

-30bc + 50bd

Step-by-step explanation:

3a + 5b/3c - 5d = 3a - 5b/3c - 5d

(3c - 5d)(3a - 5b) = (3a + 5b)(3c - 5d)

9ca - 15bc - 15da + 25db = 9ac - 15ad + 15bc - 25bd

9ca -15bc - 15da + 25db - 9ac + 15ad - 15bc + 25bd

9ca and -9ac and -15da and 15ad cancel each other out, so

-30bc + 50db is left

5 0
2 years ago
Other questions:
  • A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each rep
    6·2 answers
  • When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus
    11·1 answer
  • Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not
    15·2 answers
  • What is the only solution of 2x2 + 8x = x2 - 16?
    12·1 answer
  • A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y repr
    5·2 answers
  • What is (x2 + 9x+ 18) / (x+6)
    11·2 answers
  • Need help with this question
    14·1 answer
  • A bus leaves Dhaka on Saturday night and is supposed to arrive at Cox’s Bazar at 08 17
    10·1 answer
  • To investigate housing needs in the future, a town planning committee
    14·1 answer
  • Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!