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:
100 + 80
Step-by-step explanation:
Answer:
10 units.
2√7 units.
- (or 5.29 units to the nearest hundredth)
Step-by-step explanation:
If the 2 sides are legs of the triangle ( that is they are at 90 degrees to each other) the third side, by Pythagoras theorem:
= √(6^2 + 8^2)
= √100
= 10 units.
The other possibility is that 8 is the length of the hypotenuse, in which case
The third side
= √(8^2 - 6^2)
= √28
= 2√7 units.
577,000, there is an average change of 577,000 people per year.
To find the average rate of change of the population of people per year, we first need to find the population change per any amount of time, and then divide by how much time that is (in this case, three years). We can find the population change by <u>subtracting </u>the values 17,334,000 and 19,065,000. Subtracting them, we get a change of 1,731,000 in three years. Now, to find the average rate of change of the population in people per year, we divide by three, which gives us our answer of 577,000 people, on average, per year.
Answer:
c
Step-by-step explanation:
i choose (c) because that the answer