Answer:
961
Step-by-step explanation:
5 apples and 6 pears are to be distributed among 3 different people.
the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147
If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people
= 3^6 - 3
= 729 -3 = 726
Secondly calculate the number of ways 5 apples could be distributed among 3 people
3^5 = 243
Total = 726 + 243
= 961 ways
Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = 
absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
Answer:
0.4p or p-0.6p
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
- For finding the price we pay during a sale, we focus on the percent we pay. If 60% off is the sale, then we spend 40% or 100-60=40. 40% is 0.40. Multiply that by p an unknown price and we have 0.4p.
- We can find the percent off by multiplying the price by the percent conversion. So 60% is 0.60. Then subtract it from the original price to find the leftover that we pay. This is p-0.6p.
Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
