A card is drawn from a well-shuffled deck of 52 cards. find p(drawing an ace or a 9). 8

Need the answer to this

ki77a [65]

Answer:

$\frac{2}{(x + 3)}$

Step-by-step explanation:

$\frac{2x - 10}{x^{2} - 2x - 15}$

pull 2 from top

$\frac{2(x - 5)}{x^{2} - 2x - 15}$

we are looking to cancel (x-5) so will start with

(x - 5)(x + 3), selected (x+3) because the sign must be negative and must multiply to -15

$\frac{2(x - 5)}{(x - 5)(x + 3)}$

now cancel (x-5)

$\frac{2}{(x + 3)}$

4 0

2 years ago

Anthony sold 45 tickets to the school play and Katy sold 40 tickets. What is the ratio of the number of tickets Anthony sold to

Sindrei [870]

Answer:

the answer is 40:45

Step-by-step explanation:

i did the test and got it right

3 0

2 years ago

Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4. How much do raisins cost per ounce?

stepan [7]

Answer:

$0.80/oz

Step-by-step explanation:

$4 for 5 ounces

unit cost = price/weight = $4/(5 oz.) = $0.80/oz

8 0

3 years ago

10 points help due tomarrow

strojnjashka [21]

Answer:

$\boxed{0.2}$

Step-by-step explanation:

Convert $\dfrac{12}{60}$ to a decimal

Step 1. Reduce the fraction to its lowest terms.

Divide both numerator and denominator by their greatest common factor (12)

$\dfrac{12}{60} =\dfrac{1}{5}$

Step 2. Convert the denominator to a power of 10

Multiply both numerator and denominator by 2.

$\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}$

Step 3. Divide the numerator by the denominator

Dividing by 10 moves the decimal point one place to the left.

$\dfrac{2}{10} = \boxed{0.2}$

4 0

3 years ago

Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

3 years ago