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:
The value of x is approximately 0.3684.
Step-by-step explanation:
Given:
We need to solve the proportion.
Solution:
Now we can see that;
In given equation one number is fraction and other number is whole number.
Now To make whole number into fraction we will divide by 1.
hence the whole number will be equal to;
Now the new equation will be;
Now by cross multiplication we get;
Now dividing both side by 19 we get;
Hence the value of x is approximately 0.3684.
Answer:
x=20
Step-by-step explanation:
Rewrite the equation as
x
/32
=
5/
8
Multiply both sides of the equation by 32
32 ⋅ x /32 = 32 ⋅ 5/8
Simplify both sides of the equation.
Cancel the common factor of
32
Cancel the common factor.
<h3><u>
32·</u> x/<u>32</u> · 5/8
</h3>
Rewrite the expression.
x = 32 ⋅ 5/8
Simplify
32⋅5/8
Cancel the common factor of
8
Factor 8 out of 32
x = 8 ( 4 ) ⋅ 5/8
Cancel the common factor.
Rewrite the expression.
x = 4 ⋅ 5
Multiply 4 by 5
Answer:
∣∣3.45∣∣=3.45
Step-by-step explanation:
