![Rosa2602](/avatars/28814.jpg)
Rosa2602
25.05.2020 •
Mathematics
A baker must produce three types of cakes for different events he has been hired for this week. He charges $50 for birthday cakes, $120 for wedding cakes, and $40 for an assorted batch of cupcakes.
a
The baker must fulfill 45 orders and will earn a total of $2,800. The baker has to bake twice as many birthday cakes as wedding cakes. Write a system of equations and use a matrix to find the total number orders for each type of cake
Solved
Show answers
More tips
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- C Computers and Internet How to Learn to Type Fast?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- S Style and Beauty How to braid friendship bracelets?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
Answers on questions: Mathematics
- M Mathematics ANSWER ASAP PLZ In triangle ABC and triangle PQR , AB = PQ and ∠B = ∠Q. Write the Thrid condition....
- M Mathematics Find the area of the figure given below.5 m20 m20 m20 m5 m20 m...
- M Mathematics Write the exponential function represented by the table of values....
- S Social Studies Which fact from the passage would support the argument that large populations allowed civilizations to develop? Great Zimbabwe was constructed between 1100 and...
- E English Who said in The Outsiders , “They grew up on the outside of society. They weren t looking for a fight. They were looking to belong.” Also what s the meaning behind...
- H Health When can a person infected with HIV expect to notice symptoms of the virus? A. more than likely, within days of exposure B. always within a few weeks after exposure...
- S Social Studies Who sailed across the Atlantic from France to explore? A.Henry Hudson B.Jacques Cartier and Giovanni da Verrazano C.Johan Printz D.Christopher Columbus and Amerigo...
Ответ:
Step-by-step explanation:
Let the variables b, w, c stand for the numbers of birthday cakes, wedding cakes, and cupcake batches, respectively. We can write equations based on the described relations.
b + w + c = 45 . . . . . . the baker must fill 45 orders
b -2w = 0 . . . . . . . birthday cakes are 2 times wedding cakes
50b +120w +40c = 2800 . . . . revenue from sales is 2800
These equations can be put in the form of an augmented matrix:
We can begin the row-reduction process by subtracting the first row from the second, and by subtracting 50 times the first row from the third.
The next step is to multiply the second row by 70/3 and add that to the third row. Now we have an upper triangular matrix.
We can multiply the third row by -3/100, then add that result to the second row. This gives ...
Dividing the second row by -3, then subtracting the second and third rows from the first completes the solution.
The baker has orders for 20 birthday cakes, 10 wedding cakes, and 15 batches of cupcakes.
Ответ:
-3,-2,-1,0,1,2,3,4,5