Answer:
A) 2 and 3
B) 30 = 2 × 3 × 5
42 = 2 × 3 × 7
C) GCF of 30 and 42 = 2 × 3 = 6
B.y = 1,000x
C.y = 1,000x – 25,000
D.y = 1,000x + 25,000
The equation that represents the profits as a function of time (in months) is
y = 1,000x + 25,000
Option D is the correct answer.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
January month at x = 0 = $25,000
Amount of profit increased each month = $1,000
Now,
The equation that represents the profits after x months.
y = 25,000 + 1,000x
Thus,
The equation is y = 25,000 + 1,000x
Learn more about equations here:
#SPJ2
Answer:
Step-by-step explanation:
Answer:
729
Step-by-step explanation:
bananas are there?
We know that the ratio of apples to bananas is 2 to 3, which can also be written as 2/3.
Let's use a proportion to solve for the number of bananas:
2/3 = 12/x
Here, x represents the number of bananas in the bowl.
To solve for x, we can cross-multiply:
2x = 3 * 12
2x = 36
x = 18
Therefore, there are 18 bananas in the bowl.
Answer:
18 bananas
Step-by-step explanation:
for every 2 apples, there are 3 bananas.
So, if there are 12 apples then the original ratio of number of apples is being multiplied by 6
To prove this, 2 is the original ratio of apples and when 2 is multiplied by 6, you get 12 apples
To ensure the ratio of apples to bananas is the same, you multiply the original ratio of bananas by 3 as well. This leaves us with 18 bananas for every 12 apples (3*6 = 18)
To check if you are correct, you divide both the number of apples and the number of bananas by 6 and you get the original ratio, 2 to 3.
The ratio is essentially the same throughout except when you increase it by a constant ratio, it is no longer simplified but it is the same.
I tried explaining this the best I could and I really hope this made sense and helped!