Daisy made bread. The equation B = 4f shows the number of loaves of bread baked based on the amount of flour used, where B is th
1 answer:
Answer:
k=4
Step-by-step explanation:
-The constant of proportionality is defined as the ratio between two directly proportional variables.
-Given that B=4f
#The constant of proportionality is calculated as:
- the equation can be written in the form y=kx,
where y varies directly with x and k is the constant of variation:
Hence, B varies directly with f with a constant of proportionality k=4
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Answer: 33 students wore blue jeans .
Step-by-step explanation:
Let x be the number of black pants.
Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.
Three times as many students wore black pants as blue jeans.
i.e. Number of blue pants = 4x
If there are forty-four students in the choir, then we have
Divide both sides by 4 , we get
Thus , the number of black pants = 11
Then , the number of blue pants =
Therefore, 33 students wore blue jeans .
We know that:
Profit = Revenue - Cost
Let us say x number of candies are made per week.
Finding Cost per week:
Cost of making 1 bar = 0.15
Cost of making x bars = 0.15x
Fixed rate of making candies per week = 600
Total cost of making x candies per week = 600 + 0.15x
Now let us find Revenue:
Selling price of each bar = 1.50
Selling price of x bars = 1.50x
Now we have to find profit,
Profit = Revenue - Cost
In order to have profit Revenue - Cost >0
So plugging values of revenue and cost to get number of candies,
x>444.44
Rounding off
x>444
Answer: The company must sell greater than 444 candies in order to make profit.
Hello again! So we will be using the pythagorean theorem (
) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract
from 31. And since there are 2 triangles, you'll need to multiply by 2.
In short, x = 14.0
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
Nextly, we will need to subtract
In short, x = 14.0