let's firstly convert the mixed fractions to improper fractions and then add up all four days.
![\bf \stackrel{mixed}{16\frac{3}{4}}\implies \cfrac{16\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{67}{4}}~\hfill \stackrel{mixed}{12\frac{3}{4}}\implies \cfrac{12\cdot 4+3}{4}\implies \cfrac{47}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{all 4 days summed up}}{\cfrac{67}{4}+\cfrac{47}{4}}\implies \cfrac{67+47}{4}\implies \cfrac{114}{4}\implies \cfrac{57}{2}\implies 28\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B16%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B16%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B67%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B12%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B12%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B47%7D%7B4%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Ball%204%20days%20summed%20up%7D%7D%7B%5Ccfrac%7B67%7D%7B4%7D%2B%5Ccfrac%7B47%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B67%2B47%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B114%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B57%7D%7B2%7D%5Cimplies%2028%5Cfrac%7B1%7D%7B2%7D)
B and C are both x-intercepts
An x-intercept occurs anywhere that a line or point touches the x-axis while y=0. With these answer choices, B and C are both values that happen on the x-axis, while y is equaling 0.
Answer:
It will take Madeline 13 minutes to heat her hot tub from 93° to 103°
Step-by-step explanation:
Hot tub is 70.15 cubic feet
70.15 cubic feet = 524.76 gallons
n is the number of sides of the shape, so apothem will always be
side length/2tan(30) on a regular hexagon
Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)
Answer:
x=1
Explanation:
-3x+5=2 subtract 5 on both sides to get -3x=-3 divide -3 from -3 to get 1
Answer:
1/4 probability of getting a product that isn't divisible by 2.
Step-by-step explanation:
These are all the possible outcomes
1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6
1 x 2 = 2 2 x 2 = 4 3 x 2 = 6 4 x 2 = 8 5 x 2 = 10 6 x 2 = 12
1 x 3 = 3 2 x 3 = 6 3 x 3 = 9 4 x 3 = 12 5 x 3 = 15 6 x 3 = 18
1 x 4 = 4 2 x 4 = 8 3 x 4 = 12 4 x 4 = 16 5 x 4 = 20 6 x 4 = 24
1 x 5 = 5 2 x 5 = 10 3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 6 x 5 = 30
1 x 6 = 6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 5 x 6 = 30 6 x 6 = 36
All of the outcomes that aren't divisible by 2 are in bold
There are 9 out of 36 possible outcomes that aren't divisible by 2
9/36 = 1/4
