firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,
![\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7Bz%7D%7B5%7D-4%3D%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B15%7D%7D%7B15%5Cleft%28%20%5Ccfrac%7Bz%7D%7B5%7D-4%20%5Cright%29%3D15%5Cleft%28%20%5Ccfrac%7B7%7D%7B3%7D%20%5Cright%29%7D%5Cimplies%203z-60%3D35%20%5C%5C%5C%5C%5C%5C%203z%3D95%5Cimplies%20z%3D%5Ccfrac%7B95%7D%7B3%7D%5Cimplies%20z%20%3D%2031%5Cfrac%7B2%7D%7B3%7D)
Answer:
36 sq. cm
Step-by-step explanation:
triangle area= 0.5 * 12* 10
rectangle are= 8* 3
60 - 24 = 36
What is the median of the data?<br>30,29,16,11,16,20,21,12,13,15,15,23,30
tia_tia [17]
Answer:
16
Step-by-step explanation:
ascending order:11,12,13,15,15,16,16,20,21,23,29,30,30
number of terms =13
median=[(n+1)/2] th term
=[(13+1)/2] th term
=[14/2] th tem
=7th term
=16
Answer with Step-by-step explanation:
The radius of the bull’s-eye of the dartboard is 8 inches.
The radius of each concentric circle is 8 inches more than the radius of the circle inside it.
Radius of first circle=8 in.
Radius of second circle=16 in.
Radius of third circle=24 in.
Radius of fourth circle=32 in.
Area of C=Area of the third circle-Area of second circle
= π×24×24-π×16×16
= 320π sq. in.
Total area of dartboard=Area of fourth circle=π×32×32
=1024π sq. in.
P( the dart will hit in area C)= area of c/total area of dart board
=320π/1024π
= 5/16
Hence, correct option is:
B.5/16
Answer:
I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be
100,000 if it is 10 to the 5th power
If it is 10x to the 5th power then it's 100,000x
Step-by-step explanation:
I hope that helps :) explanation and answer is up!
