Answer:
Cameron and Rebecca are organizing a lunch for their friends. Within the dishes to be served, they will prepare a tomato, carrot and broccoli salad. The number of tomatoes and carrots are 10-partners and the total amount of vegetables is 12. If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners. What is the number of tomatoes, carrots and broccoli bought by Cameron and Rebecca?
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Step-by-step explanation:
Number of tomatoes = x
Number of carrots = 10 - x
Number of broccoli = y
System of Equations:
x + 10 - x + y = 12
y = 12 - 10
y = 2
x - 2 + y + 3 = 10 (If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners)
x + 1 + y = 10
x + y = 9
y = 9 - x
Substitution of y:
x + 10 - x + y = 12
x + 10 - x + 9 - x = 12
-x + 19 = 12
-x = 12 - 19
x = 7 ⇒ 10 - x = 3
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Answer:
6
Step-by-step explanation:
The length form -1 to 2 is 3
The length from -3 to 2 is 5
√3²+5² = √9+25 =√36=6
Answer:
One cup of coffee is $3.25
Step-by-step explanation:
Create a system of equations where c is the cost of a cup of coffee and d is the cost of a donut
2c + 4d = 10.5
c + 5d = 8.25
Solve by elimination by multiplying the top equation by -5 and the bottom equation by 4
-10c - 20d = -52.5
4c + 20d = 33
Add them together and solve for c
-6c = -19.5
c = 3.25
So, a cup of coffee is $3.25
The formula is 4/3 times pi times radius cubed. The radius is 9. 4/3 is 1.33. 3.14 times 9 cubed is 81 times 3.14. That is 254.34. 1.33 times 254.34 is 338.2722. That rounds to 338.
So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more
