Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows
Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.
So :
Answer:
The answer to your question is the letter A) x ≥ 0.5
Step-by-step explanation:
Inequality
2(4x - 3) ≥ -3(3x) + 5x
Process
1.- Expand
8x - 6 ≥ - 9x + 5x
2.- Simplify
8x - 6 ≥ - 4x
3.- Add 6 units in both sides
8x - 6 + 6 ≥ -4x + 6
4.- Simplify
8x ≥ -4x + 6
5.- Add 4x in both sides
8x + 4x ≥ -4x + 6 + 4x
6.- Simplify
12x ≥ 6
7.- Divide by 12 both sides
12x/12 ≥ 6/12
8.- Simplify
x ≥ 1/2 or 0.5
Answer:
3135
Step-by-step explanation:
Givens
a1 = 6
Use t4 - t3 to get d
t4 = 27
t3 = 20
Step One
Find a1 and d
a1 = 6
d = t4 - t3
d = 27 - 20
d = 7
Step Two
Find the 30th Term
tn= a1 + (n -1 )*d
t30 = 6 + (30 - 1) * 7
t30 = 6 + 29*7
t30 = 6 + 203
t30 = 209
Step Three
Find the sum using Sum = (a + t30)*n/2
n = 30 given
a1 = 6 given
t30 = 209 calculated from step 2
Sum = (a1 + t30)*n/2 Substitute
Sum = (6+ 209)*30/2 Combine like terms and divide by 2
sum = 215 * 15 Multiply
Sum = 3135 Answer
Answer:
30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)
flour: 135g*5=675g
baking powder: 1 tsp*5=5 teaspoons
sugar: 2 tbsps*5=10 tablespoons
milk: 130ml*5=650ml
eggs: 1 egg*5=5 eggs
oil: 2 tbsps*5=10 tablespoons
Answer:
719 kilometers
Step-by-step explanation:
6,471/9 = 719
that's the unit rate
