First you actually find the quotient so divide
3589/80
Which is = 44.86
First digit is 4 when you look at the quotient, starting from the left
There are a total of 5+6+4+3+2=20 M&Ms in the bag. Since there are 6 yellow M&Ms in the bag, there's a 6/20 probability that the first M&M will be yellow. Then, there are 5 more yellow M&Ms and 19 more total M&Ms in the bag, so there is a 5/19 chance the next M&M will be yellow. Finally, there are 4 more yellow M&Ms in the bag and 18 total M&Ms, so there is a 4/18 chance the last M&M will be yellow.
Multiplying these together, we have:
(6*5*4)/(20*19*18)
This simplifies to:
1/57
Therefore, there is a 1/57 probability that all M&Ms will be yellow.
Answer:
8t - 15
Explanation:
⇒ 3(t+5)+5(t−6)
distribute inside parenthesis
⇒ 3(t) + 3(5) + 5(t) + 5(-6)
multiply the variables
⇒ 3t + 15 + 5t - 30
collect like terms
⇒ 3t + 5t + 15 - 30
add/ subtract like terms
⇒ 8t - 15
Answer:
1A: 29 units²
1B: √29 units
2, 3, 4. see below
5. between 8 and 8.5
Step-by-step explanation:
1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.
Area = 4(0.5)(5 x 2) + (3²) = 29 units²
1B: Square root your answer in 1A. √29 units
Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units
2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.
3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4
4. A number that cannot be expressed as a fraction. E.g. π, e, √3
5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.
