A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you
1 answer:
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Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
2)
3) 0.00706 = 7.06 *
<em>4)</em> 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916
Answer:
Part a) The graph in the attached figure (see the explanation)
Pat b) see the explanation
Step-by-step explanation:
Part a) Write and graph a system of linear inequalities that represents this situation
Let
x ----> the number of shirts you can buy
y ----> the number of pants you can buy
we know that
The word "at most" is the same that " less than or equal to"
The word "at least" is the same that " greater than or equal to"
so
----> inequality A
The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20
Rewrite
----> inequality B
using a graphing tool
see the attached figure
Part b) How many shirts and pairs of pants can you buy at the store?
The solution of the system of inequalities is the shaded area
The solution is all whole numbers included in the shaded area
Example
(0,5),(3,3),(6,0), (3,2),...
Answer:
Step-by-step explanation:
- The function f(x) shows the number of cell tower users after "x" years from the year 2010.
- Then, the dependent varible of the function f(x) are the number of cell tower users after x years from 2010, and the independent variable of this function, "x", are the years that have passed since 2010, included 2010.
- This means that the independent variable should take the values of the years from 2010, which represent the domain (values that x variable can take), that are all the years between 2010 and 2019 (which is the present year).