Answer:
2/13
Step-by-step explanation:
In a regular deck of cards, there are a total of 52 cards. Of these, there are 4 8's and 4 jacks, making a total of 8 "desirable" outcomes. Therefore, the probability is 8/52=2/13. Hope this helps!
Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>to find:</h3>
<h3>tips and formulas:</h3>
the direction of inequality does not change
when you
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of inequality does change
when you
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
let's solve:
Volume of a cone = 1/3πr²h
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³
Answer:
a = - 2 and b = - 3
Step-by-step explanation:
Distribute the parenthesis on the left side then compare like terms on both sides.
4(3x - 6) - 7(2x + b)
= 12x - 24 - 14x - 7b
= - 2x - 24 - 7b
Compare to right side ax - 3
For the 2 sides to be equal then
- 2x = ax ⇒ a = - 2
and
- 24 - 7b = - 3 ( add 24 to both sides )
- 7b = 21 ( divide both sides by - 7 )
b = - 3