Answer:
Step-by-step explanation:
3/4 can go into 3, 4 times.
1.5 can go into 9, 6 times
1 can go into 5, 5 times.
the smallest number here is 4, so she can make 4 batches.
Answer:
c = 6 + 0.39p or c = 0.39p + 6
Step-by-step explanation:
p = #pounds
c = total cost to ship
cost c = $6 + $0.39p ($6 flat fee + $0.39 per pound)
Answer:
78 ml of 7% vinegar and 312 ml of 12% vinegar.
Step-by-step explanation:
Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.
We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:
We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be .
The second brand contains 12 vinegar, so amount of vinegar in y ml would be .
We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.
Upon substituting in equation (1), we will get:
Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.
Correlation coefficients are expressed by a number between -1 and 1.
If the value is -1 or 1 it indecates a perfect (negative and positive) correlation.
If the value is 0 indicates null correlation.
As the correlation value for you data set is -0.833 it is very close to the -1. It indicates a good correlation in the data. Then, the value you predicted is reasonably close to the actual value.
Answer:
2.2
Step-by-step explanation:
To find a, you use a formula called the law of cosines:
The law of cosines tells us:
a^2 = b^2 + c^2 - 2bc cosA
So lets plug in the values:
a^2 = 4^2 + 3^2 -2(4)(3)cos(32)
a^2 = 25-24cos32
a^2 is roughly equal to 4.97
therefore a roughly equal to 2.2