All categories

3 years ago

2. A shirt that normally costs $30 is on sale for

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:27.5%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.
Divide this new number by the pre-discount price.
Multiply the resultant number by 100.
Be proud of your mathematical abilities.

You might be interested in

Substitute the given values into the formula, and solve for the unknown variable.

Alla [95]

Answer:

$h=\frac{1}{6}$

Step-by-step explanation:

Given:

$A=\frac{1}{2h} (B+b)\\$

$A=21, B=2, b=5 ,h= ?$

We have to find the value of 'h'

So, putting the given values in the equation to find the value of 'h'.

$A=\frac{1}{2h} (B+b)$

Implementing the given values in the given equations:

$21=\frac{1}{2h}(2+5)\\\\ 21=\frac{1}{2h} (7)\\\\\frac{1}{2h}=\frac{21}{7}\\\\ \frac{1}{2h}=3 \\\\h=\frac{1}{6}$

So, the value of 'h' is

$h=\frac{1}{6}$

3 0

3 years ago

2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

Ira Lisetskai [31]

Solution: The factor form of the given polynomial is $f(x)=(x+4)(x+3)(x+2)(x+1)$ .

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for $x=-1$ , therefore $(x+1)$ is a factor of given function.

Use synthetic method to divide the given polynomial for by $(x+1)$ . Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So $f(x)=(x+1)(x^3+9x^2+26x+24)$

Similarly $(x+2)$ is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by $(x+2)$ . it is shown in figure 2.

$f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)$

Hence the factor form of the given polynomial is $f(x)=(x+4)(x+3)(x+2)(x+1)$ . The graph of the given function is given in figure 3.

4 0

3 years ago

The longest side of a triangle is 3 in. longer than the shortest side. The medium side is 2 in. longer than the shortest side. I

Olenka [21]

s = length of the shortest side of the triangle

m = length of the medium side of the triangle

l = length of the longest side of the triangle

(you can use different variables like l, w, h, x, y.......)

Perimeter(P) of a triangle is the total sum of the sides, in this case:

P = s + m + l

You know:

P = 26in

l = s + 3 [longest side is 3in longer/more than(addition) the shortest side]

m = s + 2 [medium side is 2in longer than the shortest side]

To find the lengths of the three sides, you can do this:

P = s + m + l Substitute/plug in what you know. So plug in 26 into "P" since P = 26, plug in (s + 3) into "l" since l = s + 3, and plug in (s + 2) into "m" since m = s + 2

26 = s + (s + 2) + (s + 3) Combine like terms (like terms have the same variable and power/exponent)

26 = 3s + 5 To find "s", isolate/get the variable "s" by itself. Subtract 5 on both sides

21 = 3s Divide 3 on both sides to get "s" by itself

7 = s

Now that you found s, you can use it to find the other sides

m = s + 2 Substitute/plug in 7 into "s" since s = 7

m = 7 + 2

m = 9

l = s + 3 Plug in 7 into "s"

l = 7 + 3

l = 10

The longest side is 10 inches, the medium side is 9 inches, the shortest side is 7 inches

PROOF

P = s + m + l

P = 7 + 9 + 10

P = 26 inches

7 0

3 years ago

Read 2 more answers

If K is the midpoint of HJ, HK equals x+6, and HJ equals 5x-6, then KJ equals?

Natasha2012 [34]

X + 6 = 5x - 6
12 = 4x
x = 3
KJ = 2 ( x+ 6 ) = 2 * 9 = 18

7 0

3 years ago

Un agente inmobiliario cobra un porcentaje de un 2% del valor de la finca vendida: una tercera parte del comprador, y el resto,

Vikki [24]

Answer:

A - Total commission = €3,000

B - Money from seller = €2,000

B - Money from buyer = €1,000

Step-by-step explanation:

- The estate agent gets 2% commission of the value of the property sold.

- The buyer pays 1/3 of the value of the commission.

-The seller pays the rest which is 2/3 of the value of the commission

Now, the property was sold for € 150,000.

Therefore, the 2% charge for the agent will be 2% x €150,000 = €3,000

A third of that from the buyer is ;

1/3 x €3,000 = €1,000

While the rest which is two-thirds from the seller will be; 2/3 x €3,000 = €2,000

4 0

3 years ago