Answer:
T₁₀
Step-by-step explanation:
We know the first term is 21, which is a
We work out the difference by taking 21 away from 42 which equals 21.
We then use the general formula:
Tₓ = a + (x-1)(d)
We need to find the term which equals 210
210 = 21 + (x - 1)(21)
210 = 21 - 21 + 21x
210 = 21x
x = 10
Hence it is the 10 term when the thing equals 210.
Answer:
-11
Step-by-step explanation:
-11 minus 5 is -6
Answer:
72 cans
Step-by-step explanation:
step 1
Find the number of people
we know that
She ordered 1 pizza for every 4 people
using proportion
Find out the number of people for 6 pizzas
step 2
Find the number of cans ordered
we know that
Charissa ordered 3 cans of lemonade for each person
so
using proportion
Find out the number of cans of lemonade she ordered for 24 people
Number of cards of John: J
Number of cards of Alan: A
<span>John and Alan have a collection of x baseball cards:
J+A=x (1)
</span>John has x/4 cards:
J=x/4
<span>What fraction of the cards does Alan have?
</span>
Replacing J by x/4 in the equation (1)
(1) J+A=x
x/4+A=x
Solving for A:
x/4+A-x/4=x-x/4
A=4x/4-x/4
A=(4x-x)/4
A=3x/4
Answer: Alan has 3/4 of the cards
Using a Laplace expansion along the first column, we have
The determinant of a 2x2 matrix is trivial,
So we have
