Convert 15/50 to a percent

Answers

Answer 1

Answer: The answer is 30% :)

Answer 2

Answer: 30%

u divide 15 by 50 the times it by 100 (if u were wondering how I did it)

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Solve the equation 8x-12=5x+15

Answers

8x-12=5x+15
add 12 to both sides

8x=5x+27
subtract 5x from both sides

3x=27
divide by 3

x=9

8x = 5x + 27 Add 12 to both sides

3x = 27 Subtract 5x from both sides

x = 9 Divide both sides by 3

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $35
. For one performance,
40
advance tickets and
30
same-day tickets were sold. The total amount paid for the tickets was
$1250
. What was the price of each kind of ticket?

Answers

$Advance=x$

$Same.day=y$

$x+y=35$ so $x=35-y$

$40x+30y=1250$

$40(35-y)+30y=1250$

$-10y=-150$

$y=15$

$x+15=35$

$x=20$

Cost for Advance ticket: $20
Cost for Same-day ticket: $15

Let's set up variables and equations for things that we know from the question, with a standing for advance tickets, and s standing for same day tickets.

$40a + 30s = 1250$
$a + s = 35$

Let's solve it through substitution. Isolate either variable, a or s. I'll choose to isolate a. Subtract s from both sides.

$a = -s + 35$

Plug the new knowledge into the first equation, since we now know the value of a

$40(-s +35) + 30s = 1250$ .

Distribute the 40 to the -s and 35

$-40s + 1400 + 30s = 1250$

Combine the negative and positive s

$-10s + 1400 = 1250$

Subtract 1400 from both sides.

$-10s = -150$

Divide both sides by -10

$s = 15$

The total price of an advanced ticket and same-day ticket is 35, and we know the value of a same-day ticket, so the price of an advance ticket must be 20.

The final answers are:
advanced ticket = 20
same day ticket = 15

I need help right away with the next problem.

Answers

Answer:

see below

Step-by-step explanation:

To convert the numbers to percentages, divide each number by the table total (80) and multiply by 100%. That is equivalent to multiplying each number by 1.25%. For example, 18·1.25% = 22.5% (middle table number).

State how many imaginary and real zeros the function has.f(x) = x5 + 7x4 + 2x3 + 14x2 + x + 7
A. 3 imaginary; 2 real
B. 4 imaginary; 1 real
C. 0 imaginary; 5 real
D. 2 imaginary; 3 real

Answers

Answer:

B. 4 imaginary; 1 real

Step-by-step explanation:

Given the polynomial:

x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7

it can be reordered as follows

(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)

Taking greatest common factor at each parenthesis

x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)

Taking again the greatest common factor

(x + 7)*(x^4 + 2*x^2 + 1)

Replacing x^2 = y in the second parenthesis

(x + 7)*(y^2 + 2*y + 1)

(x + 7)*(y + 1)^2

Coming back to x variable

(x + 7)*(x^2 + 1)^2

There are two options to find the roots

(x + 7) = 0

(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0

In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses
10 20
20 10

Answers

Number of roses (r) in a garden increases when the number of weeds (w) decreases, this supports an inverse relationship between the two variables.
The formula is then therefore, r = k/w
Solve for constant first.
r = k/w
20 = k/10
200 = k

r=200/5
r=40 roses
40 roses when there are 5 weeds.

Answer:

The Inverse variation says that:

$y \propto (1)/(x)$ ,

then the equation is of the form:

$y = (k)/(x)$ or $xy = k$

Here, r represents the number of roses and w represents the number of weeds.

As per the statement:

The number of roses (r) in a garden increases when the number of weeds (w) decreases.

by definition of inverse variation:

$rw = k$ ....[1]

From the given table:

take any points

r = 20 and w = 10 then;

Substitute in [1] we have;

$(20)(10)= k$

Simplify:

k = 200

The equation becomes: $rw = 200$

We have to find the number of roses when there are 5 weeds.

⇒w = 5

then;

$r(5) = 200$

Divide both sides by 5 we get;

r = 40

Therefore, the number of roses are 40 when there are 5 weeds.

State the next term of each sequence
a) 1, 16, 81, 256....
b) 1, 1, 2, 4, 7, 13, 24....

Answers

a) 1, 16, 81, and 256 are all perfect squares. Find their squares:
1, 4, 9, 14.
In this sequence, you first at 3, then 5, then 7. So, logically, you would add 9 next. 14 + 9 is 23, and 23 squared is 529.
b) I'm not sure the data points for this sequence are correct. I'd have to guess 42 based on this difference chart:
1 1 2 4 7 13   24   42
+0 +1 +2 +3 +6 +11 +18
+1 +1 +1 +3 +5   +9
+0 +0 +2 +2   +4
  +0 +2 +0 +2

a)
$1,16,81,256,\underline{625}\n\text{The general formula is } n^4 \text{ where } n\in \mathbb{N}$

b)
$1,1,2,4,7,13,24,\underline{44}\n\text{Each number is the sum of three preceding numbers.}$

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