Answer:
1.) Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.
2.) Batch B uses 1 cup of chocolate chips per 1 dozen cookies.
Step-by-step explanation:
To calculate the unit rate for each batch, set up a ratio of cups of chocolate chips to dozens of cookies for each batch and simplify.
Batch A and Batch C both have a unit rate of 0.5 cups of chocolate chips per 1 dozen cookies. Batch B has a unit rate of 1 cup of chocolate chips per 1 dozen cookies.
So, the true statements would be Batch A and Batch C have the same number of chocolate chips per cookie, Batch B uses 1 cup of chocolate chips per 1 dozen cookies, and Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.
Answer:
B. Food market
Step-by-step explanation:
You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?
A.Grocery Mart
B. Food Market
Grocery market:
4 boxes for $10
Unit price = cost / quantity
= $10 / 4 boxes
= $2.50 per box
Food market:
Price per box = $2.25
The better value option based on price is food market because it cost less to buy a box of cereal than grocery mart
Answer:
Socko gained 3/5 kg from month 1 to month 2.
Step-by-step explanation:
Socko mass was 3/10 kg in month 1 and 9/10 kg in month 2.
The amount of mass he gained is k.
3/10 + k = 9/10
Subtract 3/10 from both sides.
k = 6/10
Reduce the fraction.
k = 3/5
Answer: Socko gained 3/5 kg from month 1 to month 2.
Answer:
Option A: −5+i
Step-by-step explanation:
In the complex plane, the real part of the number is expressed in the horizontal axis, and the imaginary part is expressed in the vertical axis. So, to find the distance of a point to the origin, we just need to apply the distance formula with the second point being (0,0):
A. −5+i
real part: -5
imaginary part: 1
distance to origin: D = sqrt((-5)^2 + 1^2) = 5.099
B. −2+4i
real part: -2
imaginary part: 4
distance to origin: D = sqrt((-2)^2 + 4^2) = 4.4721
C. 3 + 3i
real part: 3
imaginary part: 3
distance to origin: D = sqrt(3^2 + 3^2) = 4.2426
D. 4 + 3i
real part: 4
imaginary part: 3
distance to origin: D = sqrt(4^2 + 3^2) = 5
So the farthest point from the origin is point A: −5+i
1/2 and you can also say 4/8 which simplifies down to 1/2 and so does 2/4.