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Mathematics

2 answers:

horsena [70]3 years ago

7 0

(17b - a^2)/2

Evaluate the expression if a=8, b=6

(17 x 6 - 8^2)/2

(102 - 64)/2

38/2

= 19

Therefore the solution to the equation is 19

ra1l [238]3 years ago

6 0

Answer: 70

Step-by-step explanation:

First you multiply 17x8 then you subtract it by 64 then you divide it by 2 please double check with a parent to make su

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The three sides of a triangle are n, 3n+1, and 5n−8. If the perimeter of the triangle is 56cm, what is the length of each side?

DanielleElmas [232]

Answer:

n = 7

Step-by-step explanation:

You will want to add all common factors with each other.

So that would be n + 3n + 5n which would be 9n.

Then -8 + 1 would be -7. So now it should be 9n - 7.

You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.

After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.

After that, you should divide both sides by 9 since you want n alone.

So 63 ÷ 9 would be 7. So at the end, <u>n = 7.</u>

7 0

2 years ago

Last year, Austin, Texas received 23.5 inches of rainfall. This year, Austin received 21.2 inches of rainfall. Find the percent

Elza [17]

Let's consider that 23.5 is 100% of rainfall.
23.5 ..... 100 %
21.2 ..... x %

Calculate x:
$x = \frac{21.2 \cdot 100}{23.5} = 90.212766$ , which is around 90.2%.

The percent of decrease is 100 - 90.2 = 9.8 %.

6 0

3 years ago

The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per

Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

$109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\$

Using quadratic formula, we can solve this equation as:

$\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\ x=-5850, x=850$