Answer:
No Solution
Step-by-step explanation:
| −2n | + 10 = −50
Subtract 10 on both sides
|-2n|+10-10=-50-10
Simplify
|-2n=|=-60
No Solution
Step-by-step explanation:
1235
Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.
So 2 is in tens.
Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.
HOPE ITS HELPFUL
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)
1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40
2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45
1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50
1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60
2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55
2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65
You can make 6 different amounts.
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6
The vertex form of all expressions is given below.
We have given that the expressions
We have to write the function in vertex form.
<h3>What is the vertex form of the equation?</h3>
The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Therefore the first equation

it can be written as

The second equation can be written as

vertex for is,

The third equation is,

Vertex form is,

Forth equation is,

Vertex form is,

To learn more about the vertex form visit:
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Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.