Answer:
An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.
Step-by-step explanation:
Answer:
12 bolt 18 nuts
Step-by-step explanation: (Elimination method)
N=nuts
B=bolts
B + N = 30
0.20B + 0.10N = 4.20
20B+10N=420 (I multiplied by 10 to eliminate decimals
-------------------------------------------------------
I will multiply the first by (-10)
-10B -10N =-300
20N +10N=420
10B+0 = 120
B=12 (12 BOLT)
30-12 =18 (8 NUTS)
12*0.20=2.40
18*0.10=1.80
2.40+ 1.80 = 4.20
Answer:
Tan B = 24/10 = 12/5
Step-by-step explanation:
Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.
let's firstly convert the mixed fractions to improper fractions and then divide.
![\bf \stackrel{mixed}{-4\frac{3}{5}}\implies \cfrac{-4\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{-23}{5}}~\hfill \stackrel{mixed}{1\frac{1}{5}}\implies \cfrac{1\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{6}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{-23}{5}\div \cfrac{6}{5}\implies \cfrac{-23}{\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\cdot \cfrac{\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{6}\implies \cfrac{-23}{6}\implies -3\frac{5}{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B-4%5Cfrac%7B3%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B-4%5Ccdot%205%2B3%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B-23%7D%7B5%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%205%2B1%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B6%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-23%7D%7B5%7D%5Cdiv%20%5Ccfrac%7B6%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B-23%7D%7B%5Cbegin%7Bmatrix%7D%205%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%5Ccdot%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%205%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B-23%7D%7B6%7D%5Cimplies%20-3%5Cfrac%7B5%7D%7B6%7D)
