I think it would be 2 because it looks like 6 is the total and 3 is a side number so if you were to multiply 3 times 2 it would be 6. I hope this is correct!
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)
I hope this helps you
0,2 close 1
0,2>0,04
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Inscribed angle measure is half the intercepted arc:</u>
<u>The angle between the diameter and tangent is right angle:</u>
<u>According to angle addition postulate:</u>
- m∠YAC = m∠BAC - m∠BAY
- m∠YAC = 90° - 26° = 64°
Correct choice is B
Answer:
100 customers
Step-by-step explanation:
Note that when you say "The probability that a customer receives a $25 gift card is 19", I assume you mean 1/9, not 19 because probability cannot exceed 1.
There are 900 reward cards in total, which means 900 customers have a chance to receive a reward. Out of these 900 customers, 1/9 of them receive a $25 gift card, so in order to find how many receive a gift card, we do:
(1/9) * 900 = 100
Thus, 100 customers receive a $25 gift card.