is simply the difference of both amounts, but firstly let's convert the mixed fractions to improper, and subtract.
![\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{6\frac{7}{16}}\implies \cfrac{6\cdot 16+7}{16}\implies \stackrel{improper}{\cfrac{103}{16}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Jessie}{\cfrac{103}{16}}-\stackrel{Bryce}{\cfrac{9}{2}}\implies \stackrel{\textit{our LCD is 16}}{\cfrac{(1)103-(8)9}{16}}\implies \cfrac{103-72}{16}\implies \cfrac{31}{16}\implies 1\frac{15}{16}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B7%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%2016%2B7%7D%7B16%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B103%7D%7B16%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cstackrel%7BJessie%7D%7B%5Ccfrac%7B103%7D%7B16%7D%7D-%5Cstackrel%7BBryce%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bour%20LCD%20is%2016%7D%7D%7B%5Ccfrac%7B%281%29103-%288%299%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B103-72%7D%7B16%7D%5Cimplies%20%5Ccfrac%7B31%7D%7B16%7D%5Cimplies%201%5Cfrac%7B15%7D%7B16%7D)
Answer:
there needs to be at least 77 cakes sold
Step-by-step explanation:
let 'c' = # cakes sold
3.25c ≥ 250
c ≥ 250÷3.25
c ≥ 76.9
Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
Answer: D. Cannot be determined.
If Angle 3 were not included, the answer would be A, 360°
Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.
Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°
Angles 1 and 2 are also supplementary, another 180°
But we don't know the measure of angle 3, so getting an exact sum is impossible here.
