Answer:
c 18
Step-by-step explanation:
Idid thsi in Kahn academy and got it correctly
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Step by step explanation;
11 divided by 9 is 1.2 repeating so Ellie will have to do about 1.3 parts a week
Answer:
Area = 114
Step-by-step explanation:
We first must find the area of the larger outside rectangle.
Area = length × width
15 × 8 = 120
Then we find the area of the smaller inside rectangle.
4 × 1.5 = 6
Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.
120 - 6 = 114
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.