If you would like to know how many pounds of flour remain after Anne bakes 3 batches of rolls and Anne has a 10 3/4 pounds bag of flour and each time she bakes one batch of rolls, she uses 2 1/6 pounds of flour, you can calculate this using the following steps:
for 3 batches of rolls, she needs:
3 * 2 1/6 = 3 * 13/6 = 13/2 = 6 1/2 pounds of flour
now, you have to subtract 10 3/4 and 6 1/2:
10 3/4 - 6 1/2 = 43/4 - 13/2 = 43/4 - 26/4 = 17/4 = 4 1/4 pounds of flour
Result: 4 1/4 pounds of flour remain after Anne bakes 3 batches of rolls.
Answer:
23˚
Step-by-step explanation:
If x = 10, then angle VYZ = 157 by basic algebra. Knowing that VYZ and WYZ are supplementary angles, we can do 180-157 to find angle WYZ. 180-157 = 23˚
A) Composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks is f[s(w)] = 50w + 25.
B) The unit of measurement for the composite function is flowers.
C) Number of the flowers for 30 weeks will be 1525.
<h3>What is a composite function?</h3>
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f[s(w)] = 50w + 25. and the number of flowers for 30 weeks is 1525.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks.
From the given data we will find the function for the number of flowers with time.
f(s) = 2s + 25
We have s(w) = 25w
f[(s(w)]=2s(w) + 25
f[(s(w)] = 2 x ( 25w ) +25
f[s(w)] = 50w + 25.
Part B: What are the units of measurement for the composite function in Part A
The expression f[s(w)] = 50w + 25 will give the number of the flowers blooming over a number of the weeks so the unit of measurement will be flowers.
Part C: Evaluate the composite function in Part A for 30 weeks.
The expression f[s(w)] = 50w + 25 will be used to find the number of flowers blooming in 30 weeks put the value w = 30 to get the number of the flowers.
f[s(w)] = 50w + 25.
f[s(w)] = (50 x 30) + 25.
f[s(w)] = 1525 flowers.
Therefore the composite function is f[s(w)] = 50w + 25. unit will be flowers and the number of flowers in 30 weeks will be 1525.
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Volumeprism=volumecube times number of cubes
vprism/vcube=number of cubes
vprism=12*5*4.25=255
vcube=side^3=(1/4)^3=1/64
vprism/vcube=255/(1/64)=255*64=16320 cubes
