MATHEMATICS HIGH SCHOOL

Which expression has a value of 15 when n = 7?1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction

Answers

Answer 1
Answer:

Answer:

19-(28)/(n) is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

43-5n

Substitute the value of n & simplify,

43-5(7)

43-35=8

Since the value of the expression is 8 which is not equal 15.

Hence expression 43-5n does not have value of 15 when n = 7.

Expression 2:

3n-5

Substituting the value of n & simplify,

3(7)-5

21-5=16

Since the value of the expression is 16 which is not equal 15.

Hence expression 3n-5 does not have value of 15 when n = 7.

Expression 3:

6n-28

Substituting the value of n & simplify,

6(7)-28

42-28=14

Since the value of the expression is 14 which is not equal 15.

Hence expression 6n-28 does not have value of 15 when n = 7.

Expression 4:

19-(28)/(n)

Substituting the value of n & simplify,

19-(28)/(7)

19-4=15

Since the value of the expression is 15 which is equal 15.

Hence expression 19-(28)/(n)has the value of 15 when n = 7.

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3.82 x 10⁷  =  38,200,000  (move the decimal 7 places to the right)

Multiply and simplify the product.(8 – 5i)2
Select the product.

a. 39

b. 89

c. 39-80i

d. 89-80i

Answers

Simplifying the square of a complex binomial is done similarly to a purely real binomial, except that one was to remember the relation i² = -1.

Solving the equation (8 – 5i)² is done below:

Rewriting (8 – 5i)²:

(8 - 5i)(8 - 5i) = 64 - 40i - 40i + 25i²

Simplifying and applying i² = -1:
64 - 80i + 25(-1)
64 - 80i - 25
39 - 80i

From the choices, the answer is C. 

Answer:

39 – 80i

Step-by-step explanation:

A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?

Answers

Answer:

y=10x-10

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An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How many pounds of the second alloy must be added to the first to get a 12% mixture? 30 lb 40 lb 60 lb

Answers

so, they alloy is hmmm some piece of metal.

it has tin, among other metals, regardless of what other metals it may have, we know that for the first one, 15% is tin, the rest something else, and we also know that the alloy itself, weights 20 lbs.

now, how much is just the weight of the tin metal in it alone?  well, is 15% of 20 lbs, or (15/100) * 20, or 3 lbs, so of all those 20 lbs, only 3 lbs or 15% is tin.

for the second alloy, let's say we'll add "x" lbs, we know the second alloy is 10% tin, how much of that weight is tin?  well 10% of x, or (10/100) * x, or 0.10x lbs.

now, we're looking for a mixture, say the resulting lbs of mix will be "y" lbs, and we know the mixture will be 12% of tin, how much is 12% of y?  (12/100) * y, or 0.12y.

now, regardless of what "x" and "y" is, we know that 20 + x = y, and that 3 + 0.10x = 0.12y, thus

\bf \begin{array}{lccclll} &\stackrel{lbs}{amount}&\stackrel{tin~\%}{quantity}&\stackrel{tin~lbs}{quantity}\n &------&------&------\n \textit{15\% alloy}&20&0.15&3\n \textit{10\% alloy}&x&0.10&0.10x\n ------&------&------&------\n mixture&y&0.12&0.12y \end{array} \n\n\n \begin{cases} 20+x=\boxed{y}\n 3+0.10x=0.12y\n ----------\n 3+0.10x=0.12\left( \boxed{20+x} \right) \end{cases} \n\n\n 3+0.10x=2.4+0.12x\implies 3-2.4=0.12x-0.10x \n\n\n 0.6=0.02x\implies \cfrac{0.6}{0.02}=x\implies 30=x

Answer:

30 lb

Step-by-step explanation:

Correct answers only please!What is the check digit (d) for the UPC bar code shown below?

A. 2

B. 4

C. 6

D. 8

Answers

Answer:

  D.  8

Step-by-step explanation:

No formula is given, so we use an on-line calculator for the job. The check digit is 8.

Q= 3n +3w solve for n

Answers

n= (Q-3w)/3 when factored
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