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Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
Answer:
i think c
Step-by-step explanation:
Answer:
10.5 in
Step-by-step explanation:
Given

Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b



Divide both sides by tan(55)


Find tan(55)


<em>(Approximated)</em>
<em />
Length AC is 10.5
Kevin painted
of the wall.
Solution:
Fraction of the wall painted by Elena = 
Fraction of the wall painted by Matthew = 
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew


To make the denominator same, multiply the numerator and denominator of the first term by 9.



Rest of the wall = 
Hence the kevin painted
of the wall.