$250 c+ $ 180 g > $ 950
<u>Step-by-step explanation:</u>
As a cryptographer (c), Miyoko earns per day = $ 250
As a geologist (g) , Miyoko earns per day = $ 180
So the equation comes to be $250 c+ $ 180 g = $ 950
The equation can be rewritten to find c as, (950-180 g) / 250
The equation can be rewritten to find g as, (950 - 250 c) / 180
Plugin different values of c and g in the above 2 equations, we can find that ,
To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.
Answer:

Step-by-step explanation:

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Answer:
60°
Step-by-step explanation:
2x and x are linear pair,
=> 2x + x = 180
=> 3x = 180
=> x = 180/3
=> x = 60°
=>2x =120°
Answer:
10
Step-by-step explanation:
When we simplify we get
Then we continue to factor to get: 
We then see that we can factor
into
we then do the prime factorization of 847, which i think is,
. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.
It has to be a positive, non-negative integer, right?
We also see that 3x+1=11 so we see that x=10/3 (which wont work).
So 3x+1=7, so x=2.
So 11 has to be in another term. It has to be in 2y+7=11 so y=2
for the last term we get z+5=11 so z=6
2+2+6=10
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Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
12a² + 9a + 7 = 0
By comparing this equation with standard quadratic equation,
hx² + kx + c = 0
h = 12, k = 9 and c = 7
By using quadratic formula,
a = 
= 
= 
= 
= 
a = 
Therefore, Option B will be the correct option.